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major refactoring

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--HG--
rename : lib/baker/__init__.py => interp/baker/__init__.py
rename : lib/grid/DD.py => interp/grid/DD.py
rename : lib/grid/DDD.py => interp/grid/DDD.py
rename : lib/grid/__init__.py => interp/grid/__init__.py
rename : lib/grid/qhull.py => interp/grid/qhull.py
rename : lib/grid/simplex.py => interp/grid/simplex.py
rename : lib/grid/smcqdelaunay.py => interp/grid/smcqdelaunay.py
rename : lib/baker/tools.py => interp/tools.py
This commit is contained in:
Stephen McQuay 2010-10-22 16:10:58 -06:00
parent 98d7247497
commit 2db4169bfa
14 changed files with 56 additions and 565 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

81
bin/parse_gmsh.py
View File

@ -21,50 +21,15 @@ del os, atexit, readline, rlcompleter, save_history, historyPath
import sys import sys
import pickle import pickle
from itertools import combinations from itertools import combinations
from collections import defaultdict
from scipy.spatial import KDTree
from grid.simplex import face
import numpy as np import numpy as np
THREE_NODE_TRIANGLE = 2 THREE_NODE_TRIANGLE = 2
class point(object):
def __init__(self, xyz):
self.index = index
self.xyz = xyz
self.faces = []
def __getitem__(self, i):
if isinstance(i, int):
if i == 0:
return self.xyz[0]
elif i == 1:
return self.xyz[1]
elif i == 2:
return self.xyz[2]
else:
raise IndexError("there are only (x,y,z)")
else:
raise TypeError("only point.x and point[0] access allowed")
def _getx(self):
return self.xyz[0]
x = property(_getx)
def _gety(self):
return self.xyz[1]
y = property(_gety)
def _getz(self):
return self.xyz[2]
z = property(_getz)
def __str__(self):
return '%s' % self.xyz
__repr__ = __str__
class face(object):
def __init__(self):
self.neighbors = []
self.points = []
if __name__ == '__main__': if __name__ == '__main__':
if len(sys.argv) != 2: if len(sys.argv) != 2:
print >> sys.stderr, "usage: %s <gmsh file>" % sys.argv[0] print >> sys.stderr, "usage: %s <gmsh file>" % sys.argv[0]
@ -81,8 +46,7 @@ if __name__ == '__main__':
node_count = int(gmsh_file.readline()) node_count = int(gmsh_file.readline())
points = [] verts = np.zeros((node_count, 3))
nppoints = np.zeros((node_count, 3))
for i in xrange(node_count): for i in xrange(node_count):
cur_line = gmsh_file.readline() cur_line = gmsh_file.readline()
(index, x,y,z) = cur_line.split() (index, x,y,z) = cur_line.split()
@ -91,19 +55,20 @@ if __name__ == '__main__':
y = float(y) y = float(y)
z = float(z) z = float(z)
nppoints[i][0] = x verts[i][0] = x
nppoints[i][1] = y verts[i][1] = y
nppoints[i][2] = z verts[i][2] = z
points.append(point(nppoints[i]))
tree = KDTree(verts)
gmsh_file.readline() # $EndNodes gmsh_file.readline() # $E ndNodes
gmsh_file.readline() # $Elements gmsh_file.readline() # $E lements
element_count = int(gmsh_file.readline()) element_count = int(gmsh_file.readline())
faceobjs = {} faces = {}
neighbors = {} neighbors = {}
faces_for_vert = defaultdict(list)
for i in xrange(element_count): for i in xrange(element_count):
cur_line = gmsh_file.readline() cur_line = gmsh_file.readline()
@ -115,17 +80,17 @@ if __name__ == '__main__':
if(node_type == THREE_NODE_TRIANGLE): if(node_type == THREE_NODE_TRIANGLE):
points_for_cur_face = [i-1 for i in rest[rest[0]+1:]] points_for_cur_face = [i-1 for i in rest[rest[0]+1:]]
cur_face = face() cur_face = face(cur_face_index)
for cur_point in points_for_cur_face: for cur_point in points_for_cur_face:
points[cur_point].faces.append(cur_face_index) faces_for_vert[cur_point].append(cur_face_index)
cur_face.points = points_for_cur_face cur_face.verts = points_for_cur_face
faceobjs[cur_face_index] = cur_face faces[cur_face_index] = cur_face
edges = [tuple(sorted(i)) for i in combinations(points_for_cur_face, 2)] edges = [tuple(sorted(i)) for i in combinations(points_for_cur_face, 2)]
# edge is two points # edge is two verts
for edge in edges: for edge in edges:
if edge in neighbors: if edge in neighbors:
neighbors[edge].append(cur_face_index) neighbors[edge].append(cur_face_index)
@ -134,8 +99,8 @@ if __name__ == '__main__':
for k,v in neighbors.iteritems(): for k,v in neighbors.iteritems():
if len(v) > 1: if len(v) > 1:
faceobjs[v[0]].neighbors.append(v[1]) faces[v[0]].add_neighbor(faces[v[1]])
faceobjs[v[1]].neighbors.append(v[0]) faces[v[1]].add_neighbor(faces[v[0]])
pickle.dump([(p[0], p[1], p[2]) for p in points], open('/tmp/points.p', 'w')) pickle.dump([(p[0], p[1], p[2]) for p in verts], open('/tmp/points.p', 'w'))
pickle.dump([f.points for f in faceobjs.itervalues()], open('/tmp/faces.p', 'w')) pickle.dump([f.verts for f in faces.itervalues()], open('/tmp/faces.p', 'w'))

1
bin/test2d-connectivity.py
View File

@ -67,4 +67,3 @@ if __name__ == '__main__':
good.append(d[True]) good.append(d[True])
draw_gb(bad = bad, good = good) draw_gb(bad = bad, good = good)

4
bin/test2d-qhull-specific.py
View File

@ -1,4 +1,4 @@
#!/usr/bin/python2.6 #!/usr/bin/env python
import sys import sys
from grid.DD import grid from grid.DD import grid
@ -24,6 +24,8 @@ g = grid(verts,q)
exact = exact_func(X) exact = exact_func(X)
d = {True:0, False:0}
try: try:
answer = g.run_baker(X) answer = g.run_baker(X)
d[improved_answer(answer, exact)] += 1 d[improved_answer(answer, exact)] += 1

477
distribute_setup.py
View File

@ -1,477 +0,0 @@
#!python
"""Bootstrap distribute installation
If you want to use setuptools in your package's setup.py, just include this
file in the same directory with it, and add this to the top of your setup.py::
from distribute_setup import use_setuptools
use_setuptools()
If you want to require a specific version of setuptools, set a download
mirror, or use an alternate download directory, you can do so by supplying
the appropriate options to ``use_setuptools()``.
This file can also be run as a script to install or upgrade setuptools.
"""
import os
import sys
import time
import fnmatch
import tempfile
import tarfile
from distutils import log
try:
from site import USER_SITE
except ImportError:
USER_SITE = None
try:
import subprocess
def _python_cmd(*args):
args = (sys.executable,) + args
return subprocess.call(args) == 0
except ImportError:
# will be used for python 2.3
def _python_cmd(*args):
args = (sys.executable,) + args
# quoting arguments if windows
if sys.platform == 'win32':
def quote(arg):
if ' ' in arg:
return '"%s"' % arg
return arg
args = [quote(arg) for arg in args]
return os.spawnl(os.P_WAIT, sys.executable, *args) == 0
DEFAULT_VERSION = "0.6.10"
DEFAULT_URL = "http://pypi.python.org/packages/source/d/distribute/"
SETUPTOOLS_FAKED_VERSION = "0.6c11"
SETUPTOOLS_PKG_INFO = """\
Metadata-Version: 1.0
Name: setuptools
Version: %s
Summary: xxxx
Home-page: xxx
Author: xxx
Author-email: xxx
License: xxx
Description: xxx
""" % SETUPTOOLS_FAKED_VERSION
def _install(tarball):
# extracting the tarball
tmpdir = tempfile.mkdtemp()
log.warn('Extracting in %s', tmpdir)
old_wd = os.getcwd()
try:
os.chdir(tmpdir)
tar = tarfile.open(tarball)
_extractall(tar)
tar.close()
# going in the directory
subdir = os.path.join(tmpdir, os.listdir(tmpdir)[0])
os.chdir(subdir)
log.warn('Now working in %s', subdir)
# installing
log.warn('Installing Distribute')
if not _python_cmd('setup.py', 'install'):
log.warn('Something went wrong during the installation.')
log.warn('See the error message above.')
finally:
os.chdir(old_wd)
def _build_egg(egg, tarball, to_dir):
# extracting the tarball
tmpdir = tempfile.mkdtemp()
log.warn('Extracting in %s', tmpdir)
old_wd = os.getcwd()
try:
os.chdir(tmpdir)
tar = tarfile.open(tarball)
_extractall(tar)
tar.close()
# going in the directory
subdir = os.path.join(tmpdir, os.listdir(tmpdir)[0])
os.chdir(subdir)
log.warn('Now working in %s', subdir)
# building an egg
log.warn('Building a Distribute egg in %s', to_dir)
_python_cmd('setup.py', '-q', 'bdist_egg', '--dist-dir', to_dir)
finally:
os.chdir(old_wd)
# returning the result
log.warn(egg)
if not os.path.exists(egg):
raise IOError('Could not build the egg.')
def _do_download(version, download_base, to_dir, download_delay):
egg = os.path.join(to_dir, 'distribute-%s-py%d.%d.egg'
% (version, sys.version_info[0], sys.version_info[1]))
if not os.path.exists(egg):
tarball = download_setuptools(version, download_base,
to_dir, download_delay)
_build_egg(egg, tarball, to_dir)
sys.path.insert(0, egg)
import setuptools
setuptools.bootstrap_install_from = egg
def use_setuptools(version=DEFAULT_VERSION, download_base=DEFAULT_URL,
to_dir=os.curdir, download_delay=15, no_fake=True):
# making sure we use the absolute path
to_dir = os.path.abspath(to_dir)
was_imported = 'pkg_resources' in sys.modules or \
'setuptools' in sys.modules
try:
try:
import pkg_resources
if not hasattr(pkg_resources, '_distribute'):
if not no_fake:
_fake_setuptools()
raise ImportError
except ImportError:
return _do_download(version, download_base, to_dir, download_delay)
try:
pkg_resources.require("distribute>="+version)
return
except pkg_resources.VersionConflict:
e = sys.exc_info()[1]
if was_imported:
sys.stderr.write(
"The required version of distribute (>=%s) is not available,\n"
"and can't be installed while this script is running. Please\n"
"install a more recent version first, using\n"
"'easy_install -U distribute'."
"\n\n(Currently using %r)\n" % (version, e.args[0]))
sys.exit(2)
else:
del pkg_resources, sys.modules['pkg_resources'] # reload ok
return _do_download(version, download_base, to_dir,
download_delay)
except pkg_resources.DistributionNotFound:
return _do_download(version, download_base, to_dir,
download_delay)
finally:
if not no_fake:
_create_fake_setuptools_pkg_info(to_dir)
def download_setuptools(version=DEFAULT_VERSION, download_base=DEFAULT_URL,
to_dir=os.curdir, delay=15):
"""Download distribute from a specified location and return its filename
`version` should be a valid distribute version number that is available
as an egg for download under the `download_base` URL (which should end
with a '/'). `to_dir` is the directory where the egg will be downloaded.
`delay` is the number of seconds to pause before an actual download
attempt.
"""
# making sure we use the absolute path
to_dir = os.path.abspath(to_dir)
try:
from urllib.request import urlopen
except ImportError:
from urllib2 import urlopen
tgz_name = "distribute-%s.tar.gz" % version
url = download_base + tgz_name
saveto = os.path.join(to_dir, tgz_name)
src = dst = None
if not os.path.exists(saveto): # Avoid repeated downloads
try:
log.warn("Downloading %s", url)
src = urlopen(url)
# Read/write all in one block, so we don't create a corrupt file
# if the download is interrupted.
data = src.read()
dst = open(saveto, "wb")
dst.write(data)
finally:
if src:
src.close()
if dst:
dst.close()
return os.path.realpath(saveto)
def _patch_file(path, content):
"""Will backup the file then patch it"""
existing_content = open(path).read()
if existing_content == content:
# already patched
log.warn('Already patched.')
return False
log.warn('Patching...')
_rename_path(path)
f = open(path, 'w')
try:
f.write(content)
finally:
f.close()
return True
def _same_content(path, content):
return open(path).read() == content
def _no_sandbox(function):
def __no_sandbox(*args, **kw):
try:
from setuptools.sandbox import DirectorySandbox
def violation(*args):
pass
DirectorySandbox._old = DirectorySandbox._violation
DirectorySandbox._violation = violation
patched = True
except ImportError:
patched = False
try:
return function(*args, **kw)
finally:
if patched:
DirectorySandbox._violation = DirectorySandbox._old
del DirectorySandbox._old
return __no_sandbox
@_no_sandbox
def _rename_path(path):
new_name = path + '.OLD.%s' % time.time()
log.warn('Renaming %s into %s', path, new_name)
os.rename(path, new_name)
return new_name
def _remove_flat_installation(placeholder):
if not os.path.isdir(placeholder):
log.warn('Unkown installation at %s', placeholder)
return False
found = False
for file in os.listdir(placeholder):
if fnmatch.fnmatch(file, 'setuptools*.egg-info'):
found = True
break
if not found:
log.warn('Could not locate setuptools*.egg-info')
return
log.warn('Removing elements out of the way...')
pkg_info = os.path.join(placeholder, file)
if os.path.isdir(pkg_info):
patched = _patch_egg_dir(pkg_info)
else:
patched = _patch_file(pkg_info, SETUPTOOLS_PKG_INFO)
if not patched:
log.warn('%s already patched.', pkg_info)
return False
# now let's move the files out of the way
for element in ('setuptools', 'pkg_resources.py', 'site.py'):
element = os.path.join(placeholder, element)
if os.path.exists(element):
_rename_path(element)
else:
log.warn('Could not find the %s element of the '
'Setuptools distribution', element)
return True
def _after_install(dist):
log.warn('After install bootstrap.')
placeholder = dist.get_command_obj('install').install_purelib
_create_fake_setuptools_pkg_info(placeholder)
@_no_sandbox
def _create_fake_setuptools_pkg_info(placeholder):
if not placeholder or not os.path.exists(placeholder):
log.warn('Could not find the install location')
return
pyver = '%s.%s' % (sys.version_info[0], sys.version_info[1])
setuptools_file = 'setuptools-%s-py%s.egg-info' % \
(SETUPTOOLS_FAKED_VERSION, pyver)
pkg_info = os.path.join(placeholder, setuptools_file)
if os.path.exists(pkg_info):
log.warn('%s already exists', pkg_info)
return
log.warn('Creating %s', pkg_info)
f = open(pkg_info, 'w')
try:
f.write(SETUPTOOLS_PKG_INFO)
finally:
f.close()
pth_file = os.path.join(placeholder, 'setuptools.pth')
log.warn('Creating %s', pth_file)
f = open(pth_file, 'w')
try:
f.write(os.path.join(os.curdir, setuptools_file))
finally:
f.close()
def _patch_egg_dir(path):
# let's check if it's already patched
pkg_info = os.path.join(path, 'EGG-INFO', 'PKG-INFO')
if os.path.exists(pkg_info):
if _same_content(pkg_info, SETUPTOOLS_PKG_INFO):
log.warn('%s already patched.', pkg_info)
return False
_rename_path(path)
os.mkdir(path)
os.mkdir(os.path.join(path, 'EGG-INFO'))
pkg_info = os.path.join(path, 'EGG-INFO', 'PKG-INFO')
f = open(pkg_info, 'w')
try:
f.write(SETUPTOOLS_PKG_INFO)
finally:
f.close()
return True
def _before_install():
log.warn('Before install bootstrap.')
_fake_setuptools()
def _under_prefix(location):
if 'install' not in sys.argv:
return True
args = sys.argv[sys.argv.index('install')+1:]
for index, arg in enumerate(args):
for option in ('--root', '--prefix'):
if arg.startswith('%s=' % option):
top_dir = arg.split('root=')[-1]
return location.startswith(top_dir)
elif arg == option:
if len(args) > index:
top_dir = args[index+1]
return location.startswith(top_dir)
elif option == '--user' and USER_SITE is not None:
return location.startswith(USER_SITE)
return True
def _fake_setuptools():
log.warn('Scanning installed packages')
try:
import pkg_resources
except ImportError:
# we're cool
log.warn('Setuptools or Distribute does not seem to be installed.')
return
ws = pkg_resources.working_set
try:
setuptools_dist = ws.find(pkg_resources.Requirement.parse('setuptools',
replacement=False))
except TypeError:
# old distribute API
setuptools_dist = ws.find(pkg_resources.Requirement.parse('setuptools'))
if setuptools_dist is None:
log.warn('No setuptools distribution found')
return
# detecting if it was already faked
setuptools_location = setuptools_dist.location
log.warn('Setuptools installation detected at %s', setuptools_location)
# if --root or --preix was provided, and if
# setuptools is not located in them, we don't patch it
if not _under_prefix(setuptools_location):
log.warn('Not patching, --root or --prefix is installing Distribute'
' in another location')
return
# let's see if its an egg
if not setuptools_location.endswith('.egg'):
log.warn('Non-egg installation')
res = _remove_flat_installation(setuptools_location)
if not res:
return
else:
log.warn('Egg installation')
pkg_info = os.path.join(setuptools_location, 'EGG-INFO', 'PKG-INFO')
if (os.path.exists(pkg_info) and
_same_content(pkg_info, SETUPTOOLS_PKG_INFO)):
log.warn('Already patched.')
return
log.warn('Patching...')
# let's create a fake egg replacing setuptools one
res = _patch_egg_dir(setuptools_location)
if not res:
return
log.warn('Patched done.')
_relaunch()
def _relaunch():
log.warn('Relaunching...')
# we have to relaunch the process
args = [sys.executable] + sys.argv
sys.exit(subprocess.call(args))
def _extractall(self, path=".", members=None):
"""Extract all members from the archive to the current working
directory and set owner, modification time and permissions on
directories afterwards. `path' specifies a different directory
to extract to. `members' is optional and must be a subset of the
list returned by getmembers().
"""
import copy
import operator
from tarfile import ExtractError
directories = []
if members is None:
members = self
for tarinfo in members:
if tarinfo.isdir():
# Extract directories with a safe mode.
directories.append(tarinfo)
tarinfo = copy.copy(tarinfo)
tarinfo.mode = 448 # decimal for oct 0700
self.extract(tarinfo, path)
# Reverse sort directories.
if sys.version_info < (2, 4):
def sorter(dir1, dir2):
return cmp(dir1.name, dir2.name)
directories.sort(sorter)
directories.reverse()
else:
directories.sort(key=operator.attrgetter('name'), reverse=True)
# Set correct owner, mtime and filemode on directories.
for tarinfo in directories:
dirpath = os.path.join(path, tarinfo.name)
try:
self.chown(tarinfo, dirpath)
self.utime(tarinfo, dirpath)
self.chmod(tarinfo, dirpath)
except ExtractError:
e = sys.exc_info()[1]
if self.errorlevel > 1:
raise
else:
self._dbg(1, "tarfile: %s" % e)
def main(argv, version=DEFAULT_VERSION):
"""Install or upgrade setuptools and EasyInstall"""
tarball = download_setuptools()
_install(tarball)
if __name__ == '__main__':
main(sys.argv[1:])

0
lib/baker/__init__.py → interp/baker/__init__.py
View File

0
lib/grid/DD.py → interp/grid/DD.py
View File

0
lib/grid/DDD.py → interp/grid/DDD.py
View File

37
lib/grid/__init__.py → interp/grid/__init__.py
View File

@ -12,8 +12,22 @@ from simplex import face, contains
from smcqdelaunay import * from smcqdelaunay import *
class grid(object): class grid(object):
def __init__(self, points, q):
"""
this thing eats two pre-constructed arrays of floats:
points = array of arrays (i will convert to numpy.array)
[[x0,y0], [x1,y1], ...]
q = array (1D) of important values
"""
self.points = np.array(points)
self.q = np.array(q)
self.tree = scipy.spatial.KDTree(self.points)
self.faces = {}
self.faces_for_vert = defaultdict(list)
class delaunay_grid(grid):
facet_re = re.compile(r''' facet_re = re.compile(r'''
-\s+(?P<facet>f\d+).*? -\s+(?P<facet>f\d+).*?
vertices:\s(?P<verts>.*?)\n.*? vertices:\s(?P<verts>.*?)\n.*?
@ -29,20 +43,9 @@ class grid(object):
(p\d+) (p\d+)
''', re.S|re.X) ''', re.S|re.X)
def __init__(self, points, q): def __init__(self, points, q):
""" grid.__init__(self, points,q)
this thing eats two pre-constructed arrays of floats:
points = array of arrays (i will convert to numpy.array)
[[x0,y0], [x1,y1], ...]
q = array (1D) of important values
"""
self.points = np.array(points)
self.q = np.array(q)
self.tree = scipy.spatial.KDTree(self.points)
self.faces = {}
self.facets_for_point = defaultdict(list)
def create_mesh(self, indicies): def create_mesh(self, indicies):
""" """
@ -70,7 +73,7 @@ class grid(object):
simplex = None simplex = None
checked_facets = [] checked_facets = []
facets_to_check = self.facets_for_point[closest_point] facets_to_check = self.faces_for_vert[closest_point]
attempts = 0 attempts = 0
while not simplex and facets_to_check: while not simplex and facets_to_check:
@ -158,7 +161,7 @@ class grid(object):
(dist, indicies) = self.tree.query(X, 2) (dist, indicies) = self.tree.query(X, 2)
simplex = None simplex = None
for facet in self.facets_for_point[indicies[0]]: for facet in self.faces_for_vert[indicies[0]]:
if facet.contains(X, self): if facet.contains(X, self):
simplex = facet simplex = facet
break break
@ -215,7 +218,7 @@ class grid(object):
for v in grid.vert_re.findall(verticies): for v in grid.vert_re.findall(verticies):
vertex_index = int(v[1:]) vertex_index = int(v[1:])
cur_face.add_vert(vertex_index) cur_face.add_vert(vertex_index)
self.facets_for_point[vertex_index].append(cur_face) self.faces_for_vert[vertex_index].append(cur_face)
nghbrs = [(facet_name, i) for i in neighboring_facets.split()] nghbrs = [(facet_name, i) for i in neighboring_facets.split()]
facet_to_facets.extend(nghbrs) facet_to_facets.extend(nghbrs)
@ -232,7 +235,7 @@ class grid(object):
assert( len(self.points) == len(self.q) ) assert( len(self.points) == len(self.q) )
for c, i in enumerate(zip(self.points, self.q)): for c, i in enumerate(zip(self.points, self.q)):
r += "%d %r: %0.4f" % (c,i[0], i[1]) r += "%d %r: %0.4f" % (c,i[0], i[1])
facet_str = ", ".join([f.name for f in self.facets_for_point[c]]) facet_str = ", ".join([f.name for f in self.faces_for_vert[c]])
r += " faces: [%s]" % facet_str r += " faces: [%s]" % facet_str
r += "\n" r += "\n"
if self.faces: if self.faces:

0
lib/grid/qhull.py → interp/grid/qhull.py
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6
lib/grid/simplex.py → interp/grid/simplex.py
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@ -53,10 +53,12 @@ class face(object):
return contains(X, [G.points[i] for i in self.verts]) return contains(X, [G.points[i] for i in self.verts])
def __str__(self): def __str__(self):
neighbors = [i.name for i in self.neighbors] neighbors = [str(i.name) for i in self.neighbors]
return '%s: verts: %s neighbors: [%s]' %\ return '<face %s: verts: %s neighbors: [%s]>' %\
( (
self.name, self.name,
self.verts, self.verts,
", ".join(neighbors) ", ".join(neighbors)
) )
__repr__ = __str__

0
lib/grid/smcqdelaunay.py → interp/grid/smcqdelaunay.py
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0
lib/baker/tools.py → interp/tools.py
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11
setup.py
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@ -1,17 +1,14 @@
from distribute_setup import use_setuptools
use_setuptools()
from setuptools import setup, find_packages from setuptools import setup, find_packages
setup( setup(
name = 'interpolosion', name = 'interplosion',
version = '0.01', version = '0.01',
package_dir = {'':'lib'}, package_dir = {'':'interp'},
packages = find_packages('lib'), packages = find_packages('interp'),
install_requires = [ install_requires = [
'numpy', 'numpy',
'scipy', 'scipy',
], ],
entry_points = {'console_scripts': ['booze = baker.booze:main',]}, # entry_points = {'console_scripts': ['booze = baker.booze:main',]},
) )

4
test/baker.test.py
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@ -1,8 +1,8 @@
#!/usr/bin/env python #!/usr/bin/env python
import unittest import unittest
import baker from interplosion import baker
import grid from interplosion import grid
import numpy as np import numpy as np
import scipy.spatial import scipy.spatial