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"""Tests of the Gtransfo objects and its helpers.""" 

import numpy as np 

 

import unittest 

import lsst.utils.tests 

 

import lsst.log 

import lsst.jointcal 

 

 

class GtransfoPolyBase: 

def setUp(self): 

self.longMessage = True 

np.random.seed(100) 

 

# TRACE level so we can see all the inverse iteration steps. 

lsst.log.setLevel('', lsst.log.TRACE) 

 

# default initialized gtansfoPoly should be the identity 

self.polyIdentity = lsst.jointcal.gtransfo.GtransfoPoly(9) 

 

self.poly2 = lsst.jointcal.gtransfo.GtransfoPoly(2) 

# A "reasonable" polynomial from fitting some data. 

poly2Str = "1\norder 2\n-0.167892516757 -5.19165870491e-05 2.0273225968e-07 2.75150063324e-11 -1.41377300894e-11 7.74131250823e-12 -0.355492046755 3.64496426108e-07 5.18028912201e-05 -1.38429955144e-11 -2.23437887691e-11 2.23415522405e-11 \n" # noqa: E501 

self.poly2.read(poly2Str) 

 

# NOTE: taken from the "visit" component of a model, so needs to be 

# evaluated on a different bbox. 

self.poly3 = lsst.jointcal.gtransfo.GtransfoPoly(3) 

poly3Str = "1\norder 3\n-0.110057982995 -0.00384939195727 2.22344576374e-05 1.01023479109e-09 -5.2469672592e-09 1.50668618207e-09 1.46346365118e-09 -1.63797654003e-10 1.27721649626e-09 -2.05428888876e-12 -0.115317494814 2.21413899258e-05 0.00385039699775 -5.72570678996e-09 -9.59649028554e-09 1.41401351683e-08 -1.97886824954e-10 -1.30841763583e-09 -1.95789465504e-11 -1.26379172569e-09 " # noqa: E501 

self.poly3.read(poly3Str) 

 

self.poly9 = lsst.jointcal.gtransfo.GtransfoPoly(9) 

# A "reasonable" polynomial from fitting some data. 

poly9Str = "1\norder 9\n-0.16793632503 -5.19113500529e-05 4.6484637807e-07 1.41209689574e-09 -8.13063885535e-10 -5.52862561337e-10 -7.20917258572e-12 1.44268609502e-12 1.01158414497e-12 5.81014911789e-13 1.72417265293e-14 -1.39482997394e-15 -1.34837756422e-15 -5.5315543147e-16 -3.26263945732e-16 -2.27835189163e-17 1.54838068036e-19 1.36520025882e-18 4.39218993176e-19 1.09711054987e-19 1.07909937222e-19 1.75422369904e-20 9.46438635874e-22 -7.47653768123e-22 -4.21000295132e-22 -1.63261283932e-23 2.18164463104e-23 -2.29125892915e-23 -7.79605618485e-24 -8.96899627417e-25 1.8328850322e-25 2.429872115e-25 1.57383988209e-26 -1.25289729437e-26 -1.60798488421e-26 3.50802217715e-27 1.84635563103e-27 3.27562810981e-28 4.22037315014e-30 -5.54664361872e-29 -2.8639429519e-29 1.1383384424e-29 1.04059046024e-30 3.18765755999e-30 -3.9564850064e-31 -1.8028544084e-31 -3.82041218173e-32 -1.70229355716e-32 1.32310477371e-32 9.28363194124e-35 1.5990001923e-33 -1.31379494936e-33 6.88708291597e-35 -2.23831688762e-34 2.33466866348e-35 -0.355489287839 1.33735110546e-06 5.17833395824e-05 -6.95722643803e-09 -1.04122329759e-09 6.40573984039e-12 2.20559605231e-11 5.41569680032e-12 4.5540873349e-13 1.26533773481e-13 -3.78843184326e-14 -1.40950401053e-14 -1.79770054411e-15 -8.32768571948e-18 -2.33287234831e-16 3.78385302886e-17 2.09977398841e-17 2.56668227438e-18 6.94279232614e-19 -1.62606627953e-19 2.04795207418e-19 -2.24588539576e-20 -1.79824251677e-20 -2.83870287858e-21 -3.26896753863e-22 -2.59328106552e-22 1.11975449899e-22 -9.70654488549e-23 7.70881954106e-24 8.70008772668e-24 2.08267357514e-24 -3.206329176e-26 1.25458989726e-25 5.34275512133e-26 -3.49011241433e-26 2.55423596751e-26 -1.37582742645e-27 -2.21887269529e-27 -7.87749245556e-28 4.74161700401e-29 -2.40765221773e-29 -1.32783315748e-29 -7.20736097924e-30 5.46646062406e-30 -3.51762994693e-30 9.24376571391e-32 2.36641447777e-31 1.05246663621e-31 7.65324655394e-33 -1.07479816221e-32 6.75168688604e-33 -7.73208895042e-34 6.25567958067e-34 -3.54400370636e-34 1.97908370676e-34 \n" # noqa: E501 

self.poly9.read(poly9Str) 

 

# make a grid of points to evaluate on 

self._makePoints(0, 1000, 0, 1000, 200) 

 

def _makePoints(self, minX, maxX, minY, maxY, num): 

"""Sets self.points to a 2d grid of num points from min->max.""" 

self.frame = lsst.jointcal.frame.Frame(lsst.jointcal.star.Point(minX, minY), 

lsst.jointcal.star.Point(maxX, maxY)) 

num = 200 

xx = np.linspace(minX, maxX, num) 

yy = np.linspace(minY, maxY, num) 

self.points = [] 

for x in xx: 

for y in yy: 

self.points.append(lsst.afw.geom.Point2D(x, y)) 

 

 

class InversePolyTransfoTestCase(GtransfoPolyBase, lsst.utils.tests.TestCase): 

def checkInverse(self, poly, inverse, maxDiff): 

"""Test that ``gtransfoPoly(inverse(point))==point`` to within maxDiff.""" 

results = [] 

for point in self.points: 

# TODO: Fix these "Point"s once DM-4044 is done. 

tempPoint = lsst.jointcal.star.Point(point[0], point[1]) 

result = inverse.apply(poly.apply(tempPoint)) 

results.append(lsst.afw.geom.Point2D(result.x, result.y)) 

 

self.assertPairListsAlmostEqual(results, self.points, maxDiff=maxDiff) 

 

def testInversePolyIdentity(self): 

precision = 1e-8 

inverse = lsst.jointcal.gtransfo.inversePolyTransfo(self.polyIdentity, self.frame, precision) 

self.checkInverse(self.polyIdentity, inverse, precision) 

 

def testInversePoly2(self): 

precision = 1e-6 

inverse = lsst.jointcal.gtransfo.inversePolyTransfo(self.poly2, self.frame, precision) 

self.checkInverse(self.poly2, inverse, 1e-7) 

 

def testInversePoly3(self): 

# Different bbox for this one, because it is a focal plane to tangent plane transform. 

minX = 14.6927 

maxX = 42.38 

minY = -62.5486 

maxY = -0.323848 

self._makePoints(minX, maxX, minY, maxY, 200) 

 

precision = 1e-7 

inverse = lsst.jointcal.gtransfo.inversePolyTransfo(self.poly3, self.frame, precision, maxOrder=5) 

self.checkInverse(self.poly3, inverse, 3e-8) 

 

def testInversePoly9(self): 

precision = 1e-6 

inverse = lsst.jointcal.gtransfo.inversePolyTransfo(self.poly9, self.frame, precision, 

maxOrder=11, nSteps=100) 

self.checkInverse(self.poly9, inverse, 4e-5) 

 

def testNotEnoughPoints(self): 

with self.assertRaises(RuntimeError): 

lsst.jointcal.gtransfo.inversePolyTransfo(self.poly2, self.frame, 1e-4, nSteps=2) 

 

 

class GtransfoPolyTestCase(GtransfoPolyBase, lsst.utils.tests.TestCase): 

def checkToAstMap(self, poly, inverseMaxDiff=1e-6): 

"""Test that GtransfoPoly.toAstMap() gives accurate results. 

 

Parameters 

---------- 

poly : `lsst.jointcal.gtransfo.GtransfoPoly` 

The polynomial to be tested. 

inverseMaxDiff : `float` 

Required accuracy on inverse polynomial. 

See `lsst.afw.geom.utils.assertPairsAlmostEqual`. 

""" 

# maxDiff should be small, because this should be a near-exact conversion, 

# modulo implementation details. 

maxDiff = 1e-10 

 

astMap = poly.toAstMap(self.frame) 

expects = [] 

forwards = [] 

inverses = [] 

for point in self.points: 

# TODO: Fix these "Point"s once DM-4044 is done. 

tempPoint = lsst.jointcal.star.Point(point[0], point[1]) 

expect = poly.apply(tempPoint) 

expects.append(lsst.afw.geom.Point2D(expect.x, expect.y)) 

result = astMap.applyForward(point) 

forwards.append(result) 

inverses.append(astMap.applyInverse(result)) 

 

self.assertPairListsAlmostEqual(forwards, expects, maxDiff=maxDiff) 

self.assertPairListsAlmostEqual(inverses, self.points, maxDiff=inverseMaxDiff) 

 

def testToAstMapIdentity(self): 

self.checkToAstMap(self.polyIdentity) 

 

def testToAstMapOrder2(self): 

self.checkToAstMap(self.poly2) 

 

def testToAstMapOrder3(self): 

# Different bbox for this one, because it was fit on a focal plane. 

minX = 14.6927 

maxX = 42.38 

minY = -62.5486 

maxY = -0.323848 

self._makePoints(minX, maxX, minY, maxY, 200) 

 

self.checkToAstMap(self.poly3, inverseMaxDiff=5e-6) 

 

def testToAstMapOrder9(self): 

# looser tolerance: 9th order polynomials are harder to get a good inverse for. 

self.checkToAstMap(self.poly9, inverseMaxDiff=4e-5) 

 

 

class MemoryTester(lsst.utils.tests.MemoryTestCase): 

pass 

 

 

def setup_module(module): 

lsst.utils.tests.init() 

 

 

160 ↛ 161line 160 didn't jump to line 161, because the condition on line 160 was never trueif __name__ == "__main__": 

lsst.utils.tests.init() 

unittest.main()