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test_orbit.py
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test_orbit.py
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##############################TESTS ON ORBITS##################################
from __future__ import print_function, division
import warnings
import os, os.path
import sys
import platform
WIN32= platform.system() == 'Windows'
import time
import signal
import subprocess
import pytest
import numpy
import astropy
PY2= sys.version < '3'
_APY3= astropy.__version__ > '3'
from galpy import potential
from galpy.potential.Potential import _check_c
from galpy.util import galpyWarning
from test_actionAngle import reset_warning_registry
from test_potential import testplanarMWPotential, testMWPotential, \
testlinearMWPotential, \
mockFlatEllipticalDiskPotential, \
mockFlatLopsidedDiskPotential, \
mockFlatCosmphiDiskPotential, \
mockFlatCosmphiDiskwBreakPotential, \
mockSlowFlatEllipticalDiskPotential, \
mockFlatDehnenBarPotential, \
mockSlowFlatDehnenBarPotential, \
mockFlatSteadyLogSpiralPotential, \
mockSlowFlatSteadyLogSpiralPotential, \
mockFlatTransientLogSpiralPotential, \
mockCombLinearPotential, \
mockSimpleLinearPotential, \
mockMovingObjectLongIntPotential, \
mockSCFZeeuwPotential, \
mockSCFNFWPotential, \
mockSCFAxiDensity1Potential, \
mockSCFAxiDensity2Potential, \
mockSCFDensityPotential, \
specialFlattenedPowerPotential, \
specialMiyamotoNagaiPotential, \
BurkertPotentialNoC, \
oblateHernquistPotential, \
oblateNFWPotential, \
prolateNFWPotential, \
prolateJaffePotential, \
triaxialNFWPotential, \
NFWTwoPowerTriaxialPotential, \
fullyRotatedTriaxialNFWPotential, \
sech2DiskSCFPotential, \
expwholeDiskSCFPotential, \
mockFlatSpiralArmsPotential, \
mockRotatingFlatSpiralArmsPotential, \
mockSpecialRotatingFlatSpiralArmsPotential, \
expwholeDiskSCFPotential, \
mockFlatDehnenSmoothBarPotential, \
mockSlowFlatDehnenSmoothBarPotential, \
mockFlatSolidBodyRotationSpiralArmsPotential, \
mockFlatSolidBodyRotationPlanarSpiralArmsPotential, \
triaxialLogarithmicHaloPotential, \
testorbitHenonHeilesPotential, \
mockFlatCorotatingRotationSpiralArmsPotential, \
mockFlatTrulyCorotatingRotationSpiralArmsPotential, \
mockFlatGaussianAmplitudeBarPotential, \
mockFlatTrulyGaussianAmplitudeBarPotential, \
testorbitHenonHeilesPotential, \
nestedListPotential
_TRAVIS= bool(os.getenv('TRAVIS'))
if not _TRAVIS:
_QUICKTEST= True #Run a more limited set of tests
else:
_QUICKTEST= True #Also do this for Travis, bc otherwise it takes too long
_NOLONGINTEGRATIONS= True
# Don't show all warnings, to reduce log output
warnings.simplefilter("always",galpyWarning)
# Test whether the energy of simple orbits is conserved for different
# integrators
def test_energy_jacobi_conservation():
if _NOLONGINTEGRATIONS: return None
#Basic parameters for the test
times= numpy.linspace(0.,210.,5001) #~7.5 Gyr at the Solar circle
growtimes= numpy.linspace(0.,280.,5001) # for pots that grow slowly
fasttimes= numpy.linspace(0.,14.,501) #~0.5 Gyr at the Solar circle
integrators= ['dopr54_c', #first, because we do it for all potentials
'odeint', #direct python solver
'leapfrog','leapfrog_c',
'rk4_c','rk6_c',
'symplec4_c','symplec6_c']
#Grab all of the potentials
pots= [p for p in dir(potential)
if ('Potential' in p and not 'plot' in p and not 'RZTo' in p
and not 'FullTo' in p and not 'toPlanar' in p
and not 'evaluate' in p and not 'Wrapper' in p)]
pots.append('mockFlatEllipticalDiskPotential')
pots.append('mockFlatLopsidedDiskPotential')
pots.append('mockFlatCosmphiDiskPotential')
pots.append('mockFlatCosmphiDiskwBreakPotential')
pots.append('mockSlowFlatEllipticalDiskPotential')
pots.append('mockFlatDehnenBarPotential')
pots.append('mockSlowFlatDehnenBarPotential')
pots.append('mockFlatSteadyLogSpiralPotential')
pots.append('mockSlowFlatSteadyLogSpiralPotential')
pots.append('mockFlatTransientLogSpiralPotential')
pots.append('specialMiyamotoNagaiPotential')
pots.append('specialFlattenedPowerPotential')
pots.append('BurkertPotentialNoC')
pots.append('testMWPotential')
pots.append('testplanarMWPotential')
pots.append('testlinearMWPotential')
pots.append('mockCombLinearPotential')
pots.append('mockSimpleLinearPotential')
pots.append('mockMovingObjectLongIntPotential')
pots.append('oblateHernquistPotential')
pots.append('oblateNFWPotential')
pots.append('prolateNFWPotential')
pots.append('prolateJaffePotential')
pots.append('triaxialNFWPotential')
pots.append('fullyRotatedTriaxialNFWPotential')
pots.append('NFWTwoPowerTriaxialPotential') # for planar-from-full
pots.append('mockSCFZeeuwPotential')
pots.append('mockSCFNFWPotential')
pots.append('mockSCFAxiDensity1Potential')
pots.append('mockSCFAxiDensity2Potential')
pots.append('mockSCFDensityPotential')
pots.append('sech2DiskSCFPotential')
pots.append('expwholeDiskSCFPotential')
pots.append('mockFlatSpiralArmsPotential')
pots.append('mockRotatingFlatSpiralArmsPotential')
pots.append('mockSpecialRotatingFlatSpiralArmsPotential')
pots.append('mockFlatDehnenSmoothBarPotential')
pots.append('mockSlowFlatDehnenSmoothBarPotential')
pots.append('mockFlatSolidBodyRotationSpiralArmsPotential')
pots.append('mockFlatSolidBodyRotationPlanarSpiralArmsPotential')
pots.append('triaxialLogarithmicHaloPotential')
pots.append('testorbitHenonHeilesPotential')
pots.append('mockFlatCorotatingRotationSpiralArmsPotential')
pots.append('mockFlatGaussianAmplitudeBarPotential')
pots.append('nestedListPotential')
rmpots= ['Potential','MWPotential','MWPotential2014',
'MovingObjectPotential',
'interpRZPotential', 'linearPotential', 'planarAxiPotential',
'planarPotential', 'verticalPotential','PotentialError',
'SnapshotRZPotential','InterpSnapshotRZPotential',
'EllipsoidalPotential']
rmpots.append('SphericalShellPotential')
rmpots.append('RingPotential')
if False: #_TRAVIS: #travis CI
rmpots.append('DoubleExponentialDiskPotential')
rmpots.append('RazorThinExponentialDiskPotential')
for p in rmpots:
pots.remove(p)
#tolerances in log10
tol= {}
tol['default']= -10.
tol['DoubleExponentialDiskPotential']= -6. #these are more difficult
jactol= {}
jactol['default']= -10.
jactol['RazorThinExponentialDiskPotential']= -9. #these are more difficult
jactol['DoubleExponentialDiskPotential']= -6. #these are more difficult
jactol['mockFlatDehnenBarPotential']= -8. #these are more difficult
jactol['mockFlatDehnenSmoothBarPotential']= -8. #these are more difficult
jactol['mockMovingObjectLongIntPotential']= -8. #these are more difficult
jactol['mockSlowFlatEllipticalDiskPotential']= -6. #these are more difficult (and also not quite conserved)
jactol['mockSlowFlatSteadyLogSpiralPotential']= -8. #these are more difficult (and also not quite conserved)
jactol['mockSlowFlatDehnenSmoothBarPotential']= -8. #these are more difficult (and also not quite conserved)
firstTest= True
for p in pots:
#Setup instance of potential
if p in list(tol.keys()): ttol= tol[p]
else: ttol= tol['default']
if p in list(jactol.keys()): tjactol= jactol[p]
else: tjactol= jactol['default']
try:
tclass= getattr(potential,p)
except AttributeError:
tclass= getattr(sys.modules[__name__],p)
#if not p == 'NFWPotential' and not p == 'mockFlatGaussianAmplitudeBarPotential': continue
tp= tclass()
if not hasattr(tp,'normalize'): continue #skip these
tp.normalize(1.)
if hasattr(tp,'toPlanar'):
ptp= tp.toPlanar()
else:
ptp= None
for integrator in integrators:
if integrator == 'dopr54_c' \
and ('Spiral' in p or 'Lopsided' in p \
or 'Dehnen' in p or 'Cosmphi' in p):
ttimes= growtimes
elif integrator == 'dopr54_c' \
and not 'MovingObject' in p \
and not p == 'FerrersPotential': ttimes= times
else: ttimes= fasttimes
#First track azimuth
o= setup_orbit_energy(tp,axi=False,henon='Henon' in p)
if isinstance(tp,testMWPotential):
o.integrate(ttimes,tp._potlist,method=integrator)
elif isinstance(tp,testplanarMWPotential):
o.integrate(ttimes,tp._potlist,method=integrator)
elif isinstance(tp,testlinearMWPotential):
o.integrate(ttimes,tp._potlist,method=integrator)
else:
o.integrate(ttimes,tp,method=integrator)
tEs= o.E(ttimes)
# print(p, integrator, (numpy.std(tEs)/numpy.mean(tEs))**2.)
if not 'Bar' in p and not 'Spiral' in p \
and not 'MovingObject' in p and not 'Slow' in p:
assert (numpy.std(tEs)/numpy.mean(tEs))**2. < 10.**ttol, \
"Energy conservation during the orbit integration fails for potential %s and integrator %s by %g" %(p,integrator,(numpy.std(tEs)/numpy.mean(tEs)))
#Jacobi
if 'Elliptical' in p or 'Lopsided' in p \
or 'DehnenSmoothBar' in p \
or 'SolidBodyRotation' in p \
or 'CorotatingRotation' in p \
or 'GaussianAmplitudeBar' in p \
or p == 'mockMovingObjectLongIntPotential' \
or 'Cosmphi' in p or 'triaxialLog' in p \
or 'Henon' in p:
tJacobis= o.Jacobi(ttimes,pot=tp)
elif isinstance(tp,potential.linearPotential):
tJacobis= tEs #hack
else:
tJacobis= o.Jacobi(ttimes)
# print(p, (numpy.std(tJacobis)/numpy.mean(tJacobis))**2.)
assert (numpy.std(tJacobis)/numpy.mean(tJacobis))**2. < 10.**tjactol, \
"Jacobi integral conservation during the orbit integration fails for potential %s and integrator %s at the %g level" %(p,integrator,(numpy.std(tJacobis)/numpy.mean(tJacobis))**2.)
if firstTest or 'testMWPotential' in p or 'linearMWPotential' in p:
#Some basic checking of the energy and Jacobi functions
assert (o.E(pot=None)-o.E(pot=tp))**2. < 10.**ttol, \
"Energy calculated with pot=None and pot=the Potential the orbit was integrated with do not agree"
assert (o.E()-o.E(0.))**2. < 10.**ttol, \
"Energy calculated with o.E() and o.E(0.) do not agree"
if not isinstance(tp,potential.linearPotential):
assert (o.Jacobi(OmegaP=None)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=None is not equal to o.Jacobi"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=tp))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=the Potential the orbit was integrated with do not agree"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=[tp]))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=[the Potential the orbit was integrated with] do not agree"
if not isinstance(tp,potential.linearPotential) \
and not tp.isNonAxi:
assert (o.Jacobi(OmegaP=1.)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=1. for axisymmetric potential is not equal to o.Jacobi (OmegaP=1 is the default for potentials without a pattern speed"
assert (o.Jacobi(OmegaP=[0.,0.,1.])-o.Jacobi(OmegaP=1.))**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=[0,0,1] for axisymmetric potential is not equal to o.Jacobi with OmegaP=1"
assert (o.Jacobi(OmegaP=numpy.array([0.,0.,1.]))-o.Jacobi(OmegaP=1.))**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=[0,0,1] for axisymmetric potential is not equal to o.Jacobi with OmegaP=1"
o= setup_orbit_energy(tp,axi=False,henon='Henon' in p)
try:
o.E()
except AttributeError:
pass
else:
raise AssertionError("o.E() before the orbit was integrated did not throw an AttributeError")
if not isinstance(tp,potential.linearPotential):
try:
o.Jacobi()
except AttributeError:
pass
else:
raise AssertionError("o.Jacobi() before the orbit was integrated did not throw an AttributeError")
if isinstance(tp,potential.linearPotential) \
or 'MovingObject' in p:
if _QUICKTEST \
and not (('NFW' in p and not tp.isNonAxi and 'SCF' not in p)
or 'linearMWPotential' in p \
or ('Burkert' in p and not tp.hasC)):
break
else: continue
#Now do axisymmetric
if not tp.isNonAxi:
o= setup_orbit_energy(tp,axi=True,henon='Henon' in p)
if isinstance(tp,testMWPotential) \
or isinstance(tp,testplanarMWPotential):
o.integrate(ttimes,tp._potlist,method=integrator)
else:
o.integrate(ttimes,tp,method=integrator)
tEs= o.E(ttimes)
# print p, integrator, (numpy.std(tEs)/numpy.mean(tEs))**2.
assert (numpy.std(tEs)/numpy.mean(tEs))**2. < 10.**ttol, \
"Energy conservation during the orbit integration fails for potential %s and integrator %s by %g" %(p,integrator,(numpy.std(tEs)/numpy.mean(tEs))**2.)
#Jacobi
tJacobis= o.Jacobi(ttimes)
assert (numpy.std(tJacobis)/numpy.mean(tJacobis))**2. < 10.**tjactol, \
"Jacobi integral conservation during the orbit integration fails for potential %s and integrator %s" %(p,integrator)
if firstTest or 'MWPotential' in p:
#Some basic checking of the energy function
assert (o.E(pot=None)-o.E(pot=tp))**2. < 10.**ttol, \
"Energy calculated with pot=None and pot=the Potential the orbit was integrated with do not agree"
assert (o.E()-o.E(0.))**2. < 10.**ttol, \
"Energy calculated with o.E() and o.E(0.) do not agree"
assert (o.Jacobi(OmegaP=None)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=None is not equal to o.Jacobi"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=tp))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=the Potential the orbit was integrated with do not agree"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=[tp]))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=the Potential the orbit was integrated with do not agree"
assert (o.Jacobi(OmegaP=1.)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=1. for axisymmetric potential is not equal to o.Jacobi (OmegaP=1 is the default for potentials without a pattern speed"
o= setup_orbit_energy(tp,axi=True,henon='Henon' in p)
try:
o.E()
except AttributeError:
pass
else:
raise AssertionError("o.E() before the orbit was integrated did not throw an AttributeError")
try:
o.Jacobi()
except AttributeError:
pass
else:
raise AssertionError("o.Jacobi() before the orbit was integrated did not throw an AttributeError")
if ptp is None:
if _QUICKTEST and not (('NFW' in p and not tp.isNonAxi and 'SCF' not in p) \
or ('Burkert' in p and not tp.hasC)): break
else: continue
#Same for a planarPotential
# print integrator
if not ptp is None and not ptp.isNonAxi:
o= setup_orbit_energy(ptp,axi=True)
if isinstance(tp,testMWPotential) \
or isinstance(tp,testplanarMWPotential):
o.integrate(ttimes,
potential.toPlanarPotential(tp._potlist),
method=integrator)
else:
o.integrate(ttimes,ptp,method=integrator)
tEs= o.E(ttimes)
# print(p, integrator, (numpy.std(tEs)/numpy.mean(tEs))**2.)
assert (numpy.std(tEs)/numpy.mean(tEs))**2. < 10.**ttol, \
"Energy conservation during the orbit integration fails for potential %s and integrator %s" %(p,integrator)
#Jacobi
tJacobis= o.Jacobi(ttimes)
assert (numpy.std(tJacobis)/numpy.mean(tJacobis))**2. < 10.**tjactol, \
"Jacobi integral conservation during the orbit integration fails for potential %s and integrator %s" %(p,integrator)
if firstTest or 'MWPotential' in p:
#Some basic checking of the energy function
assert (o.E(pot=None)-o.E(pot=ptp))**2. < 10.**ttol, \
"Energy calculated with pot=None and pot=the planarPotential the orbit was integrated with do not agree for planarPotential"
assert (o.E(pot=None)-o.E(pot=tp))**2. < 10.**ttol, \
"Energy calculated with pot=None and pot=the Potential the orbit was integrated with do not agree for planarPotential"
assert (o.E()-o.E(0.))**2. < 10.**ttol, \
"Energy calculated with o.E() and o.E(0.) do not agree"
assert (o.Jacobi(OmegaP=None)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=None is not equal to o.Jacobi"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=tp))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=the Potential the orbit was integrated with do not agree"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=[tp]))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=the Potential the orbit was integrated with do not agree"
assert (o.Jacobi(OmegaP=1.)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=1. for axisymmetric potential is not equal to o.Jacobi (OmegaP=1 is the default for potentials without a pattern speed"
o= setup_orbit_energy(ptp,axi=True)
try:
o.E()
except AttributeError:
pass
else:
raise AssertionError("o.E() before the orbit was integrated did not throw an AttributeError")
try:
o.Jacobi()
except AttributeError:
pass
else:
raise AssertionError("o.Jacobi() before the orbit was integrated did not throw an AttributeError")
#Same for a planarPotential, track azimuth
o= setup_orbit_energy(ptp,axi=False)
if isinstance(tp,testMWPotential) \
or isinstance(tp,testplanarMWPotential):
o.integrate(ttimes,
potential.toPlanarPotential(tp._potlist),
method=integrator)
else:
o.integrate(ttimes,ptp,method=integrator)
tEs= o.E(ttimes)
#print(p, integrator, (numpy.std(tEs)/numpy.mean(tEs))**2.)
if not 'Bar' in p and not 'Spiral' in p:
assert (numpy.std(tEs)/numpy.mean(tEs))**2. < 10.**ttol, \
"Energy conservation during the orbit integration fails for potential %s and integrator %s by %g" %(p,integrator,(numpy.std(tEs)/numpy.mean(tEs))**2.)
#Jacobi
if 'DehnenSmoothBar' in p or 'SolidBodyRotation' in p \
or 'CorotatingRotation' in p \
or 'GaussianAmplitudeBar' in p:
tJacobis= o.Jacobi(ttimes,pot=tp)
else:
tJacobis= o.Jacobi(ttimes)
assert (numpy.std(tJacobis)/numpy.mean(tJacobis))**2. < 10.**tjactol, \
"Jacobi integral conservation during the orbit integration fails by %g for potential %s and integrator %s" %((numpy.std(tJacobis)/numpy.mean(tJacobis))**2.,p,integrator)
if firstTest or 'MWPotential' in p:
#Some basic checking of the energy function
assert (o.E(pot=None)-o.E(pot=ptp))**2. < 10.**ttol, \
"Energy calculated with pot=None and pot=the planarPotential the orbit was integrated with do not agree for planarPotential"
assert (o.E(pot=None)-o.E(pot=tp))**2. < 10.**ttol, \
"Energy calculated with pot=None and pot=the Potential the orbit was integrated with do not agree for planarPotential"
assert (o.E()-o.E(0.))**2. < 10.**ttol, \
"Energy calculated with o.E() and o.E(0.) do not agree"
assert (o.Jacobi(OmegaP=None)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=None is not equal to o.Jacobi"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=tp))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=the Potential the orbit was integrated with do not agree"
assert (o.Jacobi(pot=None)-o.Jacobi(pot=[tp]))**2. < 10.**ttol, \
"o.Jacobi calculated with pot=None is not equal to o.Jacobi with pot=the Potential the orbit was integrated with do not agree"
assert (o.Jacobi(OmegaP=1.)-o.Jacobi())**2. < 10.**ttol, \
"o.Jacobi calculated with OmegaP=1. for axisymmetric potential is not equal to o.Jacobi (OmegaP=1 is the default for potentials without a pattern speed"
o= setup_orbit_energy(ptp,axi=False)
try:
o.E()
except AttributeError:
pass
else:
raise AssertionError("o.E() before the orbit was integrated did not throw an AttributeError")
try:
o.Jacobi()
except AttributeError:
pass
else:
raise AssertionError("o.Jacobi() before the orbit was integrated did not throw an AttributeError")
firstTest= False
#Same for a planarPotential, but integrating w/ the potential directly, rather than the toPlanar instance; this tests that those potential attributes are passed to C correctly
# print integrator
if not ptp is None and not ptp.isNonAxi:
o= setup_orbit_energy(ptp,axi=True)
if isinstance(tp,testMWPotential) \
or isinstance(tp,testplanarMWPotential):
o.integrate(ttimes,tp._potlist,method=integrator)
else:
o.integrate(ttimes,tp,method=integrator)
tEs= o.E(ttimes)
#print(p, integrator, (numpy.std(tEs)/numpy.mean(tEs))**2.)
assert (numpy.std(tEs)/numpy.mean(tEs))**2. < 10.**ttol, \
"Energy conservation during the orbit integration fails for potential %s and integrator %s by %g" %(p,integrator,(numpy.std(tEs)/numpy.mean(tEs))**2.)
#Jacobi
if 'DehnenSmoothBar' in p or 'SolidBodyRotation' in p \
or 'CorotatingRotation' in p \
or 'GaussianAmplitudeBar' in p:
tJacobis= o.Jacobi(ttimes,pot=tp)
else:
tJacobis= o.Jacobi(ttimes)
assert (numpy.std(tJacobis)/numpy.mean(tJacobis))**2. < 10.**tjactol, \
"Jacobi integral conservation during the orbit integration fails for potential %s and integrator %s" %(p,integrator)
#Same for a planarPotential, track azimuth
o= setup_orbit_energy(ptp,axi=False)
if isinstance(tp,testMWPotential) \
or isinstance(tp,testplanarMWPotential):
o.integrate(ttimes,tp._potlist,method=integrator)
else:
o.integrate(ttimes,tp,method=integrator)
tEs= o.E(ttimes)
# print p, integrator, (numpy.std(tEs)/numpy.mean(tEs))**2.
if not 'Bar' in p and not 'Spiral' in p:
assert (numpy.std(tEs)/numpy.mean(tEs))**2. < 10.**ttol, \
"Energy conservation during the orbit integration fails for potential %s and integrator %s" %(p,integrator)
#Jacobi
if 'DehnenSmoothBar' in p or 'SolidBodyRotation' in p \
or 'CorotatingRotation' in p \
or 'GaussianAmplitudeBar' in p:
tJacobis= o.Jacobi(ttimes,pot=tp)
else:
tJacobis= o.Jacobi(ttimes)
assert (numpy.std(tJacobis)/numpy.mean(tJacobis))**2. < 10.**tjactol, \
"Jacobi integral conservation during the orbit integration fails for potential %s and integrator %s" %(p,integrator)
if _QUICKTEST and not (('NFW' in p and not tp.isNonAxi and 'SCF' not in p) \
or ('Burkert' in p and not tp.hasC)): break
#raise AssertionError
return None
# Test some long-term integrations for the symplectic integrators
def test_energy_symplec_longterm():
if _NOLONGINTEGRATIONS: return None
#Basic parameters for the test
times= numpy.linspace(0.,10000.,100001) #~360 Gyr at the Solar circle
integrators= ['leapfrog_c', #don't do leapfrog, because it takes too long
'symplec4_c','symplec6_c']
#Only use KeplerPotential
pots= ['KeplerPotential']
#tolerances in log10
tol= {}
tol['default']= -20.
tol['leapfrog_c']= -16.
tol['leapfrog']= -16.
for p in pots:
#Setup instance of potential
try:
tclass= getattr(potential,p)
except AttributeError:
tclass= getattr(sys.modules[__name__],p)
tp= tclass()
if not hasattr(tp,'normalize'): continue #skip these
tp.normalize(1.)
for integrator in integrators:
if integrator in list(tol.keys()): ttol= tol[integrator]
else: ttol= tol['default']
o= setup_orbit_energy(tp)
o.integrate(times,tp,method=integrator)
tEs= o.E(times)
# print p, integrator, (numpy.std(tEs)/numpy.mean(tEs))**2.
# print p, ((numpy.mean(o.E(times[0:20]))-numpy.mean(o.E(times[-20:-1])))/numpy.mean(tEs))**2.
assert (numpy.std(tEs)/numpy.mean(tEs))**2. < 10.**ttol, \
"Energy conservation during the orbit integration fails for potential %s and integrator %s by %.20f" %(p,integrator,(numpy.std(tEs)/numpy.mean(tEs))**2)
#Check whether there is a trend
linfit= numpy.polyfit(times,tEs,1)
# print p
assert linfit[0]**2. < 10.**ttol, \
"Absence of secular trend in energy conservation fails for potential %s and symplectic integrator %s" %(p,integrator)
#raise AssertionError
return None
def test_liouville_planar():
if _NOLONGINTEGRATIONS: return None
#Basic parameters for the test
times= numpy.linspace(0.,28.,1001) #~1 Gyr at the Solar circle
integrators= ['dopr54_c', #first, because we do it for all potentials
'odeint', #direct python solver
'rk4_c','rk6_c']
#Grab all of the potentials
pots= [p for p in dir(potential)
if ('Potential' in p and not 'plot' in p and not 'RZTo' in p
and not 'FullTo' in p and not 'toPlanar' in p
and not 'evaluate' in p and not 'Wrapper' in p)]
pots.append('mockFlatEllipticalDiskPotential')
pots.append('mockFlatLopsidedDiskPotential')
pots.append('mockFlatCosmphiDiskPotential')
pots.append('mockFlatCosmphiDiskwBreakPotential')
pots.append('mockSlowFlatEllipticalDiskPotential')
pots.append('mockFlatDehnenBarPotential')
pots.append('mockFlatDehnenBarPotential')
pots.append('mockSlowFlatDehnenBarPotential')
pots.append('specialFlattenedPowerPotential')
pots.append('BurkertPotentialNoC')
pots.append('NFWTwoPowerTriaxialPotential') # for planar-from-full
pots.append('mockSCFZeeuwPotential')
pots.append('mockSCFNFWPotential')
pots.append('mockSCFAxiDensity1Potential')
pots.append('mockSCFAxiDensity2Potential')
pots.append('mockSCFDensityPotential')
pots.append('mockFlatSpiralArmsPotential')
pots.append('mockRotatingFlatSpiralArmsPotential')
pots.append('mockSpecialRotatingFlatSpiralArmsPotential')
#pots.append('mockFlatSteadyLogSpiralPotential')
#pots.append('mockFlatTransientLogSpiralPotential')
pots.append('mockFlatDehnenSmoothBarPotential')
pots.append('mockSlowFlatDehnenSmoothBarPotential')
pots.append('mockFlatSolidBodyRotationSpiralArmsPotential')
pots.append('triaxialLogarithmicHaloPotential')
pots.append('testorbitHenonHeilesPotential')
pots.append('mockFlatTrulyCorotatingRotationSpiralArmsPotential')
pots.append('mockFlatTrulyGaussianAmplitudeBarPotential')
pots.append('nestedListPotential')
rmpots= ['Potential','MWPotential','MWPotential2014',
'MovingObjectPotential',
'interpRZPotential', 'linearPotential', 'planarAxiPotential',
'planarPotential', 'verticalPotential','PotentialError',
'SnapshotRZPotential','InterpSnapshotRZPotential',
'EllipsoidalPotential']
#rmpots.append('BurkertPotential')
#Don't have C implementations of the relevant 2nd derivatives
rmpots.append('DoubleExponentialDiskPotential')
rmpots.append('RazorThinExponentialDiskPotential')
#rmpots.append('PowerSphericalPotentialwCutoff')
#Doesn't have the R2deriv
rmpots.append('TwoPowerSphericalPotential')
rmpots.append('TwoPowerTriaxialPotential')
rmpots.append('TriaxialHernquistPotential')
rmpots.append('TriaxialJaffePotential')
rmpots.append('SoftenedNeedleBarPotential')
rmpots.append('DiskSCFPotential')
rmpots.append('SphericalShellPotential')
rmpots.append('RingPotential')
rmpots.append('PerfectEllipsoidPotential')
for p in rmpots:
pots.remove(p)
#tolerances in log10
tol= {}
tol['default']= -8.
tol['KeplerPotential']= -7. #more difficult
tol['NFWPotential']= -6. #more difficult for rk4_c, only one that does this
tol['TriaxialNFWPotential']= -4. #more difficult
tol['triaxialLogarithmicHaloPotential']= -7. #more difficult
tol['FerrersPotential']= -2.
tol['mockFlatCosmphiDiskwBreakPotential']= -7. # more difficult
tol['mockFlatTrulyCorotatingRotationSpiralArmsPotential']= -5. # more difficult
firstTest= True
for p in pots:
#Setup instance of potential
try:
tclass= getattr(potential,p)
except AttributeError:
tclass= getattr(sys.modules[__name__],p)
tp= tclass()
if not hasattr(tp,'normalize'): continue #skip these
tp.normalize(1.)
#if not p == 'NFWPotential' and not p == 'mockFlatTrulyGaussianAmplitudeBarPotential': continue
if hasattr(tp,'toPlanar'):
ptp= tp.toPlanar()
for integrator in integrators:
if p in list(tol.keys()): ttol= tol[p]
else: ttol= tol['default']
if isinstance(tp,testMWPotential) \
or isinstance(tp,testplanarMWPotential):
thasC= _check_c(tp._potlist)
else:
thasC= _check_c(tp)
if (integrator == 'odeint' or not thasC) \
and not p == 'FerrersPotential' : ttol= -4.
if True: ttimes= times
o= setup_orbit_liouville(ptp,axi=False,henon='Henon' in p)
#Calculate the Jacobian d x / d x
if hasattr(tp,'_potlist'):
if isinstance(tp,testMWPotential):
plist= potential.toPlanarPotential(tp._potlist)
else:
plist= tp._potlist
o.integrate_dxdv([1.,0.,0.,0.],ttimes,plist,
method=integrator,
rectIn=True,rectOut=True)
dx= o.getOrbit_dxdv()[-1,:]
o.integrate_dxdv([0.,1.,0.,0.],ttimes,plist,
method=integrator,
rectIn=True,rectOut=True)
dy= o.getOrbit_dxdv()[-1,:]
o.integrate_dxdv([0.,0.,1.,0.],ttimes,plist,
method=integrator,
rectIn=True,rectOut=True)
dvx= o.getOrbit_dxdv()[-1,:]
o.integrate_dxdv([0.,0.,0.,1.],ttimes,plist,
method=integrator,
rectIn=True,rectOut=True)
dvy= o.getOrbit_dxdv()[-1,:]
else:
o.integrate_dxdv([1.,0.,0.,0.],ttimes,ptp,method=integrator,
rectIn=True,rectOut=True)
dx= o.getOrbit_dxdv()[-1,:]
o.integrate_dxdv([0.,1.,0.,0.],ttimes,ptp,method=integrator,
rectIn=True,rectOut=True)
dy= o.getOrbit_dxdv()[-1,:]
o.integrate_dxdv([0.,0.,1.,0.],ttimes,ptp,method=integrator,
rectIn=True,rectOut=True)
dvx= o.getOrbit_dxdv()[-1,:]
o.integrate_dxdv([0.,0.,0.,1.],ttimes,ptp,method=integrator,
rectIn=True,rectOut=True)
dvy= o.getOrbit_dxdv()[-1,:]
tjac= numpy.linalg.det(numpy.array([dx,dy,dvx,dvy]))
#print(p, integrator, numpy.fabs(tjac-1.),ttol)
assert numpy.fabs(tjac-1.) < 10.**ttol, 'Liouville theorem jacobian differs from one by %g for %s and integrator %s' % (numpy.fabs(tjac-1.),p,integrator)
if firstTest or ('Burkert' in p and not ptp.hasC):
#Some one time tests
#Test non-rectangular in- and output
try:
o.integrate_dxdv([0.,0.,0.,1.],ttimes,ptp,
method='leapfrog',
rectIn=True,rectOut=True)
except TypeError: pass
else: raise AssertionError("integrate_dxdv with symplectic integrator should have raised TypeError, but didn't")
firstTest= False
if _QUICKTEST and not (('NFW' in p and not ptp.isNonAxi and 'SCF' not in p) \
or ('Burkert' in p and not ptp.hasC)): break
return None
# Test that the eccentricity of circular orbits is zero
def test_eccentricity():
#return None
#Basic parameters for the test
times= numpy.linspace(0.,7.,251) #~10 Gyr at the Solar circle
integrators= ['dopr54_c', #first, because we do it for all potentials
'odeint', #direct python solver
'leapfrog','leapfrog_c',
'rk4_c','rk6_c',
'symplec4_c','symplec6_c']
#Grab all of the potentials
pots= [p for p in dir(potential)
if ('Potential' in p and not 'plot' in p and not 'RZTo' in p
and not 'FullTo' in p and not 'toPlanar' in p
and not 'evaluate' in p and not 'Wrapper' in p)]
pots.append('testMWPotential')
pots.append('testplanarMWPotential')
rmpots= ['Potential','MWPotential','MWPotential2014',
'MovingObjectPotential',
'interpRZPotential', 'linearPotential', 'planarAxiPotential',
'planarPotential', 'verticalPotential','PotentialError',
'SnapshotRZPotential','InterpSnapshotRZPotential',
'EllipsoidalPotential']
rmpots.append('SphericalShellPotential')
rmpots.append('RingPotential')
if False: #_TRAVIS: #travis CI
rmpots.append('DoubleExponentialDiskPotential')
rmpots.append('RazorThinExponentialDiskPotential')
for p in rmpots:
pots.remove(p)
#tolerances in log10
tol= {}
tol['default']= -16.
tol['DoubleExponentialDiskPotential']= -6. #these are more difficult
tol['NFWPotential']= -12. #these are more difficult
tol['TriaxialNFWPotential']= -12. #these are more difficult
firstTest= True
for p in pots:
#Setup instance of potential
if p in list(tol.keys()): ttol= tol[p]
else: ttol= tol['default']
try:
tclass= getattr(potential,p)
except AttributeError:
tclass= getattr(sys.modules[__name__],p)
tp= tclass()
if hasattr(tp,'isNonAxi') and tp.isNonAxi:
continue # skip, bc eccentricity of circ. =/= 0
if not hasattr(tp,'normalize'): continue #skip these
tp.normalize(1.)
if hasattr(tp,'toPlanar'):
ptp= tp.toPlanar()
else:
ptp= None
for integrator in integrators:
#First do axi
o= setup_orbit_eccentricity(tp,axi=True)
if firstTest:
try:
o.e() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.e() before the orbit was integrated did not throw an AttributeError")
if isinstance(tp,testplanarMWPotential) \
or isinstance(tp,testMWPotential):
o.integrate(times,tp._potlist,method=integrator)
else:
o.integrate(times,tp,method=integrator)
tecc= o.e()
# print p, integrator, tecc
assert tecc**2. < 10.**ttol, \
"Eccentricity of a circular orbit is not equal to zero by %g for potential %s and integrator %s" %(tecc**2.,p,integrator)
#add tracking azimuth
o= setup_orbit_eccentricity(tp,axi=False)
if firstTest:
try:
o.e() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.e() before the orbit was integrated did not throw an AttributeError")
o.integrate(times,tp,method=integrator)
tecc= o.e()
# print p, integrator, tecc
assert tecc**2. < 10.**ttol, \
"Eccentricity of a circular orbit is not equal to zero for potential %s and integrator %s" %(p,integrator)
if ptp is None:
if _QUICKTEST and (not 'NFW' in p or tp.isNonAxi): break
#Same for a planarPotential
# print integrator
o= setup_orbit_eccentricity(ptp,axi=True)
if firstTest:
try:
o.e() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.e() before the orbit was integrated did not throw an AttributeError")
o.integrate(times,ptp,method=integrator)
tecc= o.e()
# print p, integrator, tecc
assert tecc**2. < 10.**ttol, \
"Eccentricity of a circular orbit is not equal to zero for potential %s and integrator %s" %(p,integrator)
#Same for a planarPotential, track azimuth
o= setup_orbit_eccentricity(ptp,axi=False)
if firstTest:
try:
o.e() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.e() before the orbit was integrated did not throw an AttributeError")
firstTest= True
o.integrate(times,ptp,method=integrator)
tecc= o.e()
# print p, integrator, tecc
assert tecc**2. < 10.**ttol, \
"Eccentricity of a circular orbit is not equal to zero for potential %s and integrator %s" %(p,integrator)
if _QUICKTEST and (not 'NFW' in p or tp.isNonAxi): break
#raise AssertionError
return None
# Test that the pericenter of orbits launched with vR=0 and vT > vc is the starting radius
def test_pericenter():
#return None
#Basic parameters for the test
times= numpy.linspace(0.,7.,251) #~10 Gyr at the Solar circle
integrators= ['dopr54_c', #first, because we do it for all potentials
'odeint', #direct python solver
'leapfrog','leapfrog_c',
'rk4_c','rk6_c',
'symplec4_c','symplec6_c']
#Grab all of the potentials
pots= [p for p in dir(potential)
if ('Potential' in p and not 'plot' in p and not 'RZTo' in p
and not 'FullTo' in p and not 'toPlanar' in p
and not 'evaluate' in p and not 'Wrapper' in p)]
pots.append('testMWPotential')
pots.append('testplanarMWPotential')
rmpots= ['Potential','MWPotential','MWPotential2014',
'MovingObjectPotential',
'interpRZPotential', 'linearPotential', 'planarAxiPotential',
'planarPotential', 'verticalPotential','PotentialError',
'SnapshotRZPotential','InterpSnapshotRZPotential',
'EllipsoidalPotential']
rmpots.append('SphericalShellPotential')
rmpots.append('RingPotential')
if False: #_TRAVIS: #travis CI
rmpots.append('DoubleExponentialDiskPotential')
rmpots.append('RazorThinExponentialDiskPotential')
for p in rmpots:
pots.remove(p)
#tolerances in log10
tol= {}
tol['default']= -16.
# tol['DoubleExponentialDiskPotential']= -6. #these are more difficult
# tol['NFWPotential']= -12. #these are more difficult
firstTest= True
for p in pots:
#Setup instance of potential
if p in list(tol.keys()): ttol= tol[p]
else: ttol= tol['default']
try:
tclass= getattr(potential,p)
except AttributeError:
tclass= getattr(sys.modules[__name__],p)
tp= tclass()
if hasattr(tp,'isNonAxi') and tp.isNonAxi:
continue # skip, bc eccentricity of circ. =/= 0
if not hasattr(tp,'normalize'): continue #skip these
tp.normalize(1.)
if hasattr(tp,'toPlanar'):
ptp= tp.toPlanar()
else:
ptp= None
for integrator in integrators:
#First do axi
o= setup_orbit_pericenter(tp,axi=True)
if firstTest:
try:
o.rperi() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.rperi() before the orbit was integrated did not throw an AttributeError")
if isinstance(tp,testplanarMWPotential) \
or isinstance(tp,testMWPotential):
o.integrate(times,tp._potlist,method=integrator)
else:
o.integrate(times,tp,method=integrator)
tperi= o.rperi()
# print p, integrator, tperi
assert (tperi-o.R())**2. < 10.**ttol, \
"Pericenter radius for an orbit launched with vR=0 and vT > Vc is not equal to the initial radius for potential %s and integrator %s" %(p,integrator)
#add tracking azimuth
o= setup_orbit_pericenter(tp,axi=False)
if firstTest:
try:
o.rperi() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.rperi() before the orbit was integrated did not throw an AttributeError")
o.integrate(times,tp,method=integrator)
tperi= o.rperi()
# print p, integrator, tperi
assert (tperi-o.R())**2. < 10.**ttol, \
"Pericenter radius for an orbit launched with vR=0 and vT > Vc is not equal to the initial radius for potential %s and integrator %s" %(p,integrator)
if ptp is None:
if _QUICKTEST and (not 'NFW' in p or tp.isNonAxi): break
#Same for a planarPotential
# print integrator
o= setup_orbit_pericenter(ptp,axi=True)
if firstTest:
try:
o.rperi() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.rperi() before the orbit was integrated did not throw an AttributeError")
o.integrate(times,ptp,method=integrator)
tperi= o.rperi()
# print p, integrator, tperi
assert (tperi-o.R())**2. < 10.**ttol, \
"Pericenter radius for an orbit launched with vR=0 and vT > Vc is not equal to the initial radius for potential %s and integrator %s" %(p,integrator)
#Same for a planarPotential, track azimuth
o= setup_orbit_pericenter(ptp,axi=False)
if firstTest:
try:
o.rperi() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.rperi() before the orbit was integrated did not throw an AttributeError")
firstTest= False
o.integrate(times,ptp,method=integrator)
tperi= o.rperi()
# print p, integrator, tperi
assert (tperi-o.R())**2. < 10.**ttol, \
"Pericenter radius for an orbit launched with vR=0 and vT > Vc is not equal to the initial radius for potential %s and integrator %s" %(p,integrator)
if _QUICKTEST and (not 'NFW' in p or tp.isNonAxi): break
#raise AssertionError
return None
# Test that the apocenter of orbits launched with vR=0 and vT < vc is the starting radius
def test_apocenter():
#return None
#Basic parameters for the test
times= numpy.linspace(0.,7.,251) #~10 Gyr at the Solar circle
integrators= ['dopr54_c', #first, because we do it for all potentials
'odeint', #direct python solver
'leapfrog','leapfrog_c',
'rk4_c','rk6_c',
'symplec4_c','symplec6_c']
#Grab all of the potentials
pots= [p for p in dir(potential)
if ('Potential' in p and not 'plot' in p and not 'RZTo' in p
and not 'FullTo' in p and not 'toPlanar' in p
and not 'evaluate' in p and not 'Wrapper' in p)]
pots.append('testMWPotential')
pots.append('testplanarMWPotential')
rmpots= ['Potential','MWPotential','MWPotential2014',
'MovingObjectPotential',
'interpRZPotential', 'linearPotential', 'planarAxiPotential',
'planarPotential', 'verticalPotential','PotentialError',
'SnapshotRZPotential','InterpSnapshotRZPotential',
'EllipsoidalPotential']
rmpots.append('SphericalShellPotential')
rmpots.append('RingPotential')
if False: #_TRAVIS: #travis CI
rmpots.append('DoubleExponentialDiskPotential')
rmpots.append('RazorThinExponentialDiskPotential')
for p in rmpots:
pots.remove(p)
#tolerances in log10
tol= {}
tol['default']= -16.
tol['FlattenedPowerPotential']= -14. #these are more difficult
# tol['DoubleExponentialDiskPotential']= -6. #these are more difficult
# tol['NFWPotential']= -12. #these are more difficult
firstTest= True
for p in pots:
#Setup instance of potential
if p in list(tol.keys()): ttol= tol[p]
else: ttol= tol['default']
try:
tclass= getattr(potential,p)
except AttributeError:
tclass= getattr(sys.modules[__name__],p)
tp= tclass()
if hasattr(tp,'isNonAxi') and tp.isNonAxi:
continue # skip, bc eccentricity of circ. =/= 0
if not hasattr(tp,'normalize'): continue #skip these
tp.normalize(1.)
if hasattr(tp,'toPlanar'):
ptp= tp.toPlanar()
else:
ptp= None
for integrator in integrators:
#First do axi
o= setup_orbit_apocenter(tp,axi=True)
if firstTest:
try:
o.rap() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.rap() before the orbit was integrated did not throw an AttributeError")
if isinstance(tp,testplanarMWPotential) \
or isinstance(tp,testMWPotential):
o.integrate(times,tp._potlist,method=integrator)
else:
o.integrate(times,tp,method=integrator)
tapo= o.rap()
#print p, integrator, tapo, (tapo-o.R())**2.
assert (tapo-o.R())**2. < 10.**ttol, \
"Apocenter radius for an orbit launched with vR=0 and vT > Vc is not equal to the initial radius for potential %s and integrator %s" %(p,integrator)
#add tracking azimuth
o= setup_orbit_apocenter(tp,axi=False)
if firstTest:
try:
o.rap() #This should throw an AttributeError
except AttributeError:
pass
else:
raise AssertionError("o.rap() before the orbit was integrated did not throw an AttributeError")
o.integrate(times,tp,method=integrator)
tapo= o.rap()
# print p, integrator, tapo
assert (tapo-o.R())**2. < 10.**ttol, \
"Apocenter radius for an orbit launched with vR=0 and vT > Vc is not equal to the initial radius for potential %s and integrator %s" %(p,integrator)
if ptp is None:
if _QUICKTEST and (not 'NFW' in p or tp.isNonAxi): break
#Same for a planarPotential
# print integrator
o= setup_orbit_apocenter(ptp,axi=True)
if firstTest:
try:
o.rap() #This should throw an AttributeError
except AttributeError:
pass