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from __future__ import print_function, absolute_import
# STDLIB
import functools
import itertools
import math
import os
import random
import sys
# THIRD-PARTY
import numpy as np
from numpy.testing import assert_array_almost_equal
# LOCAL
from .. import polygon
from .test_shared import resolve_imagename
GRAPH_MODE = False
ROOT_DIR = os.path.join(os.path.dirname(__file__), 'data')
class intersection_test:
def __init__(self, lon_0, lat_0, proj='ortho'):
self._lon_0 = lon_0
self._lat_0 = lat_0
self._proj = proj
def __call__(self, func):
@functools.wraps(func)
def run(*args, **kwargs):
if GRAPH_MODE:
from mpl_toolkits.basemap import Basemap
from matplotlib import pyplot as plt
polys = func(*args, **kwargs)
intersections = []
num_permutations = math.factorial(len(polys))
step_size = int(max(float(num_permutations) / 20.0, 1.0))
areas = [x.area() for x in polys]
if GRAPH_MODE:
print("%d permutations" % num_permutations)
for method in ('parallel', 'serial'):
for i, permutation in enumerate(
itertools.islice(
itertools.permutations(polys),
None, None, step_size)):
filename = '%s_%s_intersection_%04d.svg' % (
func.__name__, method, i)
print(filename)
intersection = polygon.SphericalPolygon.multi_intersection(
permutation, method=method)
intersections.append(intersection)
intersection_area = intersection.area()
if GRAPH_MODE:
fig = plt.figure()
m = Basemap(projection=self._proj,
lon_0=self._lon_0,
lat_0=self._lat_0)
m.drawparallels(np.arange(-90., 90., 20.))
m.drawmeridians(np.arange(0., 420., 20.))
m.drawmapboundary(fill_color='white')
intersection.draw(m, color='red', linewidth=3)
for poly in permutation:
poly.draw(m, color='blue', alpha=0.5)
plt.savefig(filename)
fig.clear()
assert np.all(intersection_area * 0.9 <= areas)
lengths = np.array([len(x._points) for x in intersections])
assert np.all(lengths == [lengths[0]])
areas = np.array([x.area() for x in intersections])
assert_array_almost_equal(areas, areas[0], decimal=1)
return run
@intersection_test(0, 90)
def test1():
from astropy.io import fits
fits = fits.open(resolve_imagename(ROOT_DIR,'1904-66_TAN.fits'))
header = fits[0].header
poly1 = polygon.SphericalPolygon.from_wcs(
header, 1, crval=[0, 87])
poly2 = polygon.SphericalPolygon.from_wcs(
header, 1, crval=[20, 89])
return [poly1, poly2]
@intersection_test(0, 90)
def test2():
poly1 = polygon.SphericalPolygon.from_cone(0, 60, 8, steps=16)
poly2 = polygon.SphericalPolygon.from_cone(0, 68, 8, steps=16)
poly3 = polygon.SphericalPolygon.from_cone(12, 66, 8, steps=16)
return [poly1, poly2, poly3]
@intersection_test(0, 90)
def test3():
from astropy.io import fits
fits = fits.open(resolve_imagename(ROOT_DIR, '1904-66_TAN.fits'))
header = fits[0].header
poly1 = polygon.SphericalPolygon.from_wcs(
header, 1, crval=[0, 87])
poly3 = polygon.SphericalPolygon.from_wcs(
header, 1, crval=[175, 89])
return [poly1, poly3]
def test4():
from astropy.io import fits
from astropy import wcs as pywcs
A = fits.open(os.path.join(ROOT_DIR, '2chipA.fits.gz'))
B = fits.open(os.path.join(ROOT_DIR, '2chipB.fits.gz'))
wcs = pywcs.WCS(A[1].header, fobj=A)
chipA1 = polygon.SphericalPolygon.from_wcs(wcs)
wcs = pywcs.WCS(A[4].header, fobj=A)
chipA2 = polygon.SphericalPolygon.from_wcs(wcs)
wcs = pywcs.WCS(B[1].header, fobj=B)
chipB1 = polygon.SphericalPolygon.from_wcs(wcs)
wcs = pywcs.WCS(B[4].header, fobj=B)
chipB2 = polygon.SphericalPolygon.from_wcs(wcs)
Apoly = chipA1.union(chipA2)
Bpoly = chipB1.union(chipB2)
X = Apoly.intersection(Bpoly)
@intersection_test(0, 90)
def test6():
from astropy.io import fits
fits = fits.open(resolve_imagename(ROOT_DIR, '1904-66_TAN.fits'))
header = fits[0].header
poly1 = polygon.SphericalPolygon.from_wcs(
header, 1)
poly2 = polygon.SphericalPolygon.from_wcs(
header, 1)
return [poly1, poly2]
def test_intersection_empty():
p = polygon.SphericalPolygon.from_cone(
random.randrange(-180, 180),
random.randrange(20, 90),
random.randrange(5, 16),
steps=16)
p2 = p.intersection(polygon.SphericalPolygon([]))
assert_array_almost_equal(p2._points, [])
def test_difficult_intersections():
# Tests a number of intersections of real data that have been
# problematic in previous revisions of sphere
def test_intersection(polys):
A, B = polys
A.intersection(B)
fname = resolve_imagename(ROOT_DIR, "difficult_intersections.txt")
with open(fname, 'rb') as fd:
lines = fd.readlines()
def to_array(line):
x = np.frombuffer(line.strip().decode('hex'), dtype='<f8')
return x.reshape((len(x) / 3, 3))
for i in range(0, len(lines), 4):
Apoints, Ainside, Bpoints, Binside = [
to_array(line) for line in lines[i:i+4]]
polyA = polygon.SphericalPolygon(Apoints, Ainside)
polyB = polygon.SphericalPolygon(Bpoints, Binside)
yield test_intersection, (polyA, polyB)
def test_ordering():
nrepeat = 10
A = polygon.SphericalPolygon(
[[3.532808036921135653e-01, 6.351523005458726834e-01, -6.868582305351954576e-01],
[3.532781068942476010e-01, 6.351564219435104075e-01, -6.868558064493115456e-01],
[3.529538811375814156e-01, 6.351027504797477352e-01, -6.870720880104047579e-01],
[3.533428330964511477e-01, 6.345142927049303161e-01, -6.874157800432978416e-01],
[3.533486351814376647e-01, 6.345151843837375516e-01, -6.874119745843003670e-01],
[3.533513056857608414e-01, 6.345111416839894769e-01, -6.874143334620310686e-01],
[3.536740696809928530e-01, 6.345607036635456666e-01, -6.872025653337667794e-01],
[3.536713200704008631e-01, 6.345649108795897719e-01, -6.872000954889618818e-01],
[3.536761865498951884e-01, 6.345656515431040701e-01, -6.871969069700470945e-01],
[3.536788213460497765e-01, 6.345616140129455296e-01, -6.871992792142280759e-01],
[3.540056257094351122e-01, 6.346113105009757449e-01, -6.869850810245486938e-01],
[3.536200722272911379e-01, 6.352081961257413090e-01, -6.866319189293832448e-01],
[3.536142814048366390e-01, 6.352072452054380314e-01, -6.866357809093986964e-01],
[3.536116196666648781e-01, 6.352113634102898310e-01, -6.866333419163089813e-01],
[3.532833767830895755e-01, 6.351574192193063517e-01, -6.868521736876195272e-01],
[3.532861440234288386e-01, 6.351531838825796861e-01, -6.868546669018701367e-01],
[3.532808036921135653e-01, 6.351523005458726834e-01, -6.868582305351954576e-01]],
[3.536414047913637448e-01, 6.348851549491377755e-01, -6.869196436573932196e-01])
B = polygon.SphericalPolygon(
[[3.529249199274748783e-01, 6.356925960489819838e-01, -6.865412764158403958e-01],
[3.533126219535084322e-01, 6.351003877952851040e-01, -6.868898664200949744e-01],
[3.533173735956686712e-01, 6.351012981906917210e-01, -6.868865805589428053e-01],
[3.529301898742857047e-01, 6.356935934402119237e-01, -6.865376437853726310e-01],
[3.532584388080926563e-01, 6.357475490961038700e-01, -6.863188247667159070e-01],
[3.536441982306618437e-01, 6.351510082118909661e-01, -6.866723948326530769e-01],
[3.533173735956686712e-01, 6.351012981906917210e-01, -6.868865805589428053e-01],
[3.533126219535084322e-01, 6.351003877952851040e-01, -6.868898664200949744e-01],
[3.529898380712340189e-01, 6.350508125724935171e-01, -6.871016225198859351e-01],
[3.526006883384300017e-01, 6.356389133339014341e-01, -6.867575456003104373e-01],
[3.529249199274748783e-01, 6.356925960489819838e-01, -6.865412764158403958e-01]],
[3.532883212044564125e-01, 6.354215160430938258e-01, -6.866053153377369433e-01])
areas = []
for i in range(nrepeat):
C = A.intersection(B)
areas.append(C.area())
areas = np.array(areas)
assert_array_almost_equal(areas[:-1], areas[1:])
def roll_polygon(P, i):
points = P.points
points = np.roll(points[:-1], i, 0)
points = np.append(points, [points[0]], 0)
return polygon.SphericalPolygon(points, P.inside)
Aareas = []
Bareas = []
Careas = []
for i in range(nrepeat):
AS = roll_polygon(A, i)
BS = roll_polygon(B, i)
C = AS.intersection(BS)
Aareas.append(A.area())
Bareas.append(B.area())
Careas.append(C.area())
for j in range(nrepeat):
CS = roll_polygon(C, j)
Careas.append(CS.area())
Aareas = np.array(Aareas)
Bareas = np.array(Bareas)
Careas = np.array(Careas)
assert_array_almost_equal(Aareas[:-1], Aareas[1:])
assert_array_almost_equal(Bareas[:-1], Bareas[1:])
assert_array_almost_equal(Careas[:-1], Careas[1:])
if __name__ == '__main__':
if '--profile' not in sys.argv:
GRAPH_MODE = True
from mpl_toolkits.basemap import Basemap
from matplotlib import pyplot as plt
functions = [(k, v) for k, v in globals().items() if k.startswith('test')]
functions.sort()
for k, v in functions:
v()
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