add python interface with optional numpy support for lammps_gather_bonds()

unit tests are included
This commit is contained in:
Axel Kohlmeyer
2021-07-26 22:36:00 -04:00
parent cc87e7eee3
commit 458253b452
9 changed files with 447 additions and 2 deletions

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@ -56,6 +56,7 @@ It documents the following functions:
:project: progguide :project: progguide
----------------------- -----------------------
.. doxygenfunction:: lammps_gather .. doxygenfunction:: lammps_gather
:project: progguide :project: progguide

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@ -201,6 +201,9 @@ class lammps(object):
[c_void_p,c_char_p,c_int,c_int,c_int,POINTER(c_int),c_void_p] [c_void_p,c_char_p,c_int,c_int,c_int,POINTER(c_int),c_void_p]
self.lib.lammps_scatter_atoms_subset.restype = None self.lib.lammps_scatter_atoms_subset.restype = None
self.lib.lammps_gather_bonds.argtypes = [c_void_p,c_void_p]
self.lib.lammps_gather_bonds.restype = None
self.lib.lammps_gather.argtypes = \ self.lib.lammps_gather.argtypes = \
[c_void_p,c_char_p,c_int,c_int,c_void_p] [c_void_p,c_char_p,c_int,c_int,c_void_p]
self.lib.lammps_gather.restype = None self.lib.lammps_gather.restype = None
@ -1206,6 +1209,32 @@ class lammps(object):
with ExceptionCheck(self): with ExceptionCheck(self):
self.lib.lammps_scatter_atoms_subset(self.lmp,name,dtype,count,ndata,ids,data) self.lib.lammps_scatter_atoms_subset(self.lmp,name,dtype,count,ndata,ids,data)
# -------------------------------------------------------------------------
def gather_bonds(self):
"""Retrieve global list of bonds
This is a wrapper around the :cpp:func:`lammps_gather_bonds`
function of the C-library interface.
This function returns a tuple with the number of bonds and a
flat list of ctypes integer values with the bond type, bond atom1,
bond atom2 for each bond.
.. versionadded:: 28Jul2021
:return: a tuple with the number of bonds and a list of c_int or c_long
:rtype: (int, 3*nbonds*c_tagint)
"""
nbonds = self.extract_global("nbonds")
with ExceptionCheck(self):
data = ((3*nbonds)*self.c_tagint)()
self.lib.lammps_gather_bonds(self.lmp,data)
return nbonds,data
# -------------------------------------------------------------------------
# return vector of atom/compute/fix properties gathered across procs # return vector of atom/compute/fix properties gathered across procs
# 3 variants to match src/library.cpp # 3 variants to match src/library.cpp
# name = atom property recognized by LAMMPS in atom->extract() # name = atom property recognized by LAMMPS in atom->extract()

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@ -248,6 +248,24 @@ class numpy_wrapper:
# ------------------------------------------------------------------------- # -------------------------------------------------------------------------
def gather_bonds(self):
"""Retrieve global list of bonds as NumPy array
This is a wrapper around :py:meth:`lammps.gather_bonds() <lammps.lammps.gather_bonds()>`
It behaves the same as the original method, but returns a NumPy array instead
of a ``ctypes`` list.
.. versionadded:: 28Jul2021
:return: the requested data as a 2d-integer numpy array
:rtype: numpy.array(nbonds,3)
"""
import numpy as np
nbonds, value = self.lmp.gather_bonds()
return np.ctypeslib.as_array(value).reshape(nbonds,3)
# -------------------------------------------------------------------------
def fix_external_get_force(self, fix_id): def fix_external_get_force(self, fix_id):
"""Get access to the array with per-atom forces of a fix external instance with a given fix ID. """Get access to the array with per-atom forces of a fix external instance with a given fix ID.

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@ -2704,6 +2704,8 @@ When running in parallel, the data buffer must be allocated on **all**
MPI ranks and will be filled with the information for **all** bonds MPI ranks and will be filled with the information for **all** bonds
in the system. in the system.
.. versionadded:: 28Jul2021
Below is a brief C code demonstrating accessing this collected bond information. Below is a brief C code demonstrating accessing this collected bond information.
.. code-block:: c .. code-block:: c

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@ -29,6 +29,7 @@ if(Python_EXECUTABLE)
# prepare to augment the environment so that the LAMMPS python module and the shared library is found. # prepare to augment the environment so that the LAMMPS python module and the shared library is found.
set(PYTHON_TEST_ENVIRONMENT PYTHONPATH=${LAMMPS_PYTHON_DIR}:$ENV{PYTHONPATH}) set(PYTHON_TEST_ENVIRONMENT PYTHONPATH=${LAMMPS_PYTHON_DIR}:$ENV{PYTHONPATH})
list(APPEND PYTHON_TEST_ENVIRONMENT "LAMMPS_POTENTIALS=${LAMMPS_POTENTIALS_DIR}") list(APPEND PYTHON_TEST_ENVIRONMENT "LAMMPS_POTENTIALS=${LAMMPS_POTENTIALS_DIR}")
list(APPEND PYTHON_TEST_ENVIRONMENT "TEST_INPUT_DIR=${CMAKE_CURRENT_SOURCE_DIR}")
if(APPLE) if(APPLE)
list(APPEND PYTHON_TEST_ENVIRONMENT "DYLD_LIBRARY_PATH=${CMAKE_BINARY_DIR}:$ENV{DYLD_LIBRARY_PATH};LAMMPS_CMAKE_CACHE=${CMAKE_BINARY_DIR}/CMakeCache.txt") list(APPEND PYTHON_TEST_ENVIRONMENT "DYLD_LIBRARY_PATH=${CMAKE_BINARY_DIR}:$ENV{DYLD_LIBRARY_PATH};LAMMPS_CMAKE_CACHE=${CMAKE_BINARY_DIR}/CMakeCache.txt")
else() else()
@ -90,6 +91,12 @@ if(Python_EXECUTABLE)
COMMAND ${PYTHON_TEST_RUNNER} ${CMAKE_CURRENT_SOURCE_DIR}/python-fix-external.py -v COMMAND ${PYTHON_TEST_RUNNER} ${CMAKE_CURRENT_SOURCE_DIR}/python-fix-external.py -v
WORKING_DIRECTORY ${EXECUTABLE_OUTPUT_PATH}) WORKING_DIRECTORY ${EXECUTABLE_OUTPUT_PATH})
set_tests_properties(PythonFixExternal PROPERTIES ENVIRONMENT "${PYTHON_TEST_ENVIRONMENT}") set_tests_properties(PythonFixExternal PROPERTIES ENVIRONMENT "${PYTHON_TEST_ENVIRONMENT}")
add_test(NAME PythonScatterGather
COMMAND ${PYTHON_TEST_RUNNER} ${CMAKE_CURRENT_SOURCE_DIR}/python-scatter-gather.py -v
WORKING_DIRECTORY ${EXECUTABLE_OUTPUT_PATH})
set_tests_properties(PythonScatterGather PROPERTIES ENVIRONMENT "${PYTHON_TEST_ENVIRONMENT}")
else() else()
message(STATUS "Skipping Tests for the LAMMPS Python Module: no suitable Python interpreter") message(STATUS "Skipping Tests for the LAMMPS Python Module: no suitable Python interpreter")
endif() endif()

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@ -0,0 +1,210 @@
LAMMPS data file via write_data, version 5 May 2020, timestep = 0
29 atoms
5 atom types
24 bonds
5 bond types
30 angles
4 angle types
31 dihedrals
5 dihedral types
2 impropers
2 improper types
-6.024572 8.975428 xlo xhi
-7.692866 7.307134 ylo yhi
-8.086924 6.913076 zlo zhi
Masses
1 12.0107
2 4.00794
3 14.0067
4 15.9994
5 15.9994
Pair Coeffs # zero
1
2
3
4
5
Bond Coeffs # zero
1 1.5
2 1.1
3 1.3
4 1.2
5 1
Angle Coeffs # zero
1 110.1
2 111
3 120
4 108.5
Atoms # full
10 2 1 7.0000000000000007e-02 2.0185283555536988e+00 -1.4283966846517357e+00 -9.6733527271133024e-01 0 0 0
11 2 2 8.9999999999999997e-02 1.7929780509347666e+00 -1.9871047540768743e+00 -1.8840626643185674e+00 0 0 0
12 2 1 -2.7000000000000002e-01 3.0030247876861225e+00 -4.8923319967572748e-01 -1.6188658531537248e+00 0 0 0
13 2 2 8.9999999999999997e-02 4.0447273787895934e+00 -9.0131998547446246e-01 -1.6384447268320836e+00 0 0 0
14 2 2 8.9999999999999997e-02 2.6033152817257075e+00 -4.0789761505963579e-01 -2.6554413538823063e+00 0 0 0
2 1 2 3.1000000000000000e-01 3.0197083955402204e-01 2.9515239068888608e+00 -8.5689735572907566e-01 0 0 0
3 1 1 -2.0000000000000000e-02 -6.9435377880558602e-01 1.2440473127136711e+00 -6.2233801468892025e-01 0 0 0
4 1 2 8.9999999999999997e-02 -1.5771614164685133e+00 1.4915333140468066e+00 -1.2487126845040522e+00 0 0 0
6 1 1 5.1000000000000001e-01 2.9412607937706009e-01 2.2719282656652909e-01 -1.2843094067857870e+00 0 0 0
7 1 4 -5.1000000000000001e-01 3.4019871062879609e-01 -9.1277350075786561e-03 -2.4633113224304561e+00 0 0 0
19 3 2 4.2359999999999998e-01 1.5349125211132961e+00 2.6315969880333707e+00 -4.2472859440220647e+00 0 0 0
15 2 2 8.9999999999999997e-02 2.9756315249791303e+00 5.6334269722969288e-01 -1.2437650754599008e+00 0 0 0
18 3 4 -8.4719999999999995e-01 2.1384791188033843e+00 3.0177261773770208e+00 -3.5160827596876225e+00 0 0 0
20 3 2 4.2359999999999998e-01 2.7641167828863153e+00 3.6833419064000221e+00 -3.9380850623312638e+00 0 0 0
8 2 3 -4.6999999999999997e-01 1.1641187171852805e+00 -4.8375305955385234e-01 -6.7659823767368688e-01 0 0 0
9 2 2 3.1000000000000000e-01 1.3777459838125838e+00 -2.5366338669522998e-01 2.6877644730326306e-01 0 0 0
16 2 1 5.1000000000000001e-01 2.6517554244980306e+00 -2.3957110424978438e+00 3.2908335999178327e-02 0 0 0
17 2 4 -5.1000000000000001e-01 2.2309964792710639e+00 -2.1022918943319384e+00 1.1491948328949437e+00 0 0 0
1 1 3 -4.6999999999999997e-01 -2.7993683669226832e-01 2.4726588069312840e+00 -1.7200860244148433e-01 0 0 0
5 1 2 8.9999999999999997e-02 -8.9501761359359255e-01 9.3568128743071344e-01 4.0227731871484346e-01 0 0 0
21 4 5 -8.4719999999999995e-01 4.9064454390208301e+00 -4.0751205255383196e+00 -3.6215576073601046e+00 0 0 0
22 4 2 4.2359999999999998e-01 4.3687453488627543e+00 -4.2054270536772504e+00 -4.4651491269372565e+00 0 0 0
23 4 2 4.2359999999999998e-01 5.7374928154769504e+00 -3.5763355905184966e+00 -3.8820297194230728e+00 0 0 0
24 5 5 -8.4719999999999995e-01 2.0684115301174013e+00 3.1518221747664397e+00 3.1554242678474576e+00 0 0 0
25 5 2 4.2359999999999998e-01 1.2998381073113014e+00 3.2755513587518097e+00 2.5092990173114837e+00 0 0 0
26 5 2 4.2359999999999998e-01 2.5807438597688113e+00 4.0120175892854135e+00 3.2133398379059099e+00 0 0 0
27 6 5 -8.4719999999999995e-01 -1.9613581876744359e+00 -4.3556300596085160e+00 2.1101467673534788e+00 0 0 0
28 6 2 4.2359999999999998e-01 -2.7406520384725965e+00 -4.0207251278130975e+00 1.5828689861678511e+00 0 0 0
29 6 2 4.2359999999999998e-01 -1.3108232656499081e+00 -3.5992986322410760e+00 2.2680459788743503e+00 0 0 0
Velocities
1 7.7867804888392077e-04 5.8970331623292821e-04 -2.2179517633030531e-04
2 2.7129529964126462e-03 4.6286427111164284e-03 3.5805549693846352e-03
3 -1.2736791029204805e-03 1.6108674226414498e-03 -3.3618185901550799e-04
4 -9.2828595122009308e-04 -1.2537885319521818e-03 -4.1204974953432108e-03
5 -1.1800848061603740e-03 7.5424401975844038e-04 6.9023177964912290e-05
6 -3.0914004879905335e-04 1.2755385764678133e-03 7.9574303350202582e-04
7 -1.1037894966874103e-04 -7.6764845099077425e-04 -7.7217630460203659e-04
8 3.9060281273221989e-04 -8.1444231918053418e-04 1.5134641148324972e-04
9 1.2475530960659720e-03 -2.6608454451432528e-03 1.1117602907112732e-03
10 4.5008983776042893e-04 4.9530197647538077e-04 -2.3336234361093645e-04
11 -3.6977669078869707e-04 -1.5289071951960539e-03 -2.9176389881837113e-03
12 1.0850834530183159e-03 -6.4965897903201833e-04 -1.2971152622619948e-03
13 4.0754559196230639e-03 3.5043502394946119e-03 -7.8324487687854666e-04
14 -1.3837220448746613e-04 -4.0656048637594394e-03 -3.9333461173944500e-03
15 -4.3301707382721859e-03 -3.1802661664634938e-03 3.2037919043360571e-03
16 -9.6715751018414326e-05 -5.0016572678960377e-04 1.4945658875149626e-03
17 6.5692180538157174e-04 3.6635779995305095e-04 8.3495414466050911e-04
18 -6.0936815808025862e-04 -9.3774557532468582e-04 -3.3558072507805731e-04
19 -6.9919768291957119e-04 -3.6060777270430031e-03 4.2833405289822791e-03
20 4.7777805013736515e-03 5.1003745845520452e-03 1.8002873923729241e-03
21 -9.5568188553430398e-04 1.6594630943762931e-04 -1.8199788009966615e-04
22 -3.3137518957653462e-03 -2.8683968287936054e-03 3.6384389958326871e-03
23 2.4209481134686401e-04 -4.5457709985051130e-03 2.7663581642115042e-03
24 2.5447450568861086e-04 4.8412447786110117e-04 -4.8021914527341357e-04
25 4.3722771097312743e-03 -4.5184411669545515e-03 2.5200952006556795e-03
26 -1.9250110555001179e-03 -3.0342169883610837e-03 3.5062814567984532e-03
27 -2.6510179146429716e-04 3.6306203629019116e-04 -5.6235585400647747e-04
28 -2.3068708109787484e-04 -8.5663070212203200e-04 2.1302563179109169e-03
29 -2.5054744388303732e-03 -1.6773997805290820e-04 2.8436699761004796e-03
Bonds
1 5 1 2
2 3 1 3
3 2 3 4
4 2 3 5
5 1 3 6
6 3 6 8
7 4 6 7
8 5 8 9
9 3 8 10
10 2 10 11
11 1 10 12
12 1 10 16
13 2 12 13
14 2 12 14
15 2 12 15
16 4 16 17
17 5 18 19
18 5 18 20
19 5 21 22
20 5 21 23
21 5 24 25
22 5 24 26
23 5 27 28
24 5 27 29
Angles
1 4 2 1 3
2 4 1 3 5
3 4 1 3 4
4 4 1 3 6
5 4 4 3 5
6 2 5 3 6
7 2 4 3 6
8 3 3 6 7
9 3 3 6 8
10 3 7 6 8
11 2 6 8 9
12 2 9 8 10
13 3 6 8 10
14 2 8 10 11
15 3 8 10 16
16 2 11 10 12
17 1 12 10 16
18 1 8 10 12
19 2 11 10 16
20 2 10 12 15
21 2 10 12 14
22 2 10 12 13
23 4 13 12 15
24 4 13 12 14
25 4 14 12 15
26 4 10 16 17
27 1 19 18 20
28 1 22 21 23
29 1 25 24 26
30 1 28 27 29
Dihedrals
1 2 2 1 3 6
2 2 2 1 3 4
3 3 2 1 3 5
4 1 1 3 6 8
5 1 1 3 6 7
6 5 4 3 6 8
7 5 4 3 6 7
8 5 5 3 6 8
9 5 5 3 6 7
10 4 3 6 8 9
11 3 3 6 8 10
12 3 7 6 8 9
13 4 7 6 8 10
14 2 6 8 10 12
15 2 6 8 10 16
16 2 6 8 10 11
17 2 9 8 10 12
18 4 9 8 10 16
19 5 9 8 10 11
20 5 8 10 12 13
21 1 8 10 12 14
22 5 8 10 12 15
23 4 8 10 16 17
24 5 11 10 12 13
25 5 11 10 12 14
26 5 11 10 12 15
27 2 11 10 16 17
28 2 12 10 16 17
29 5 16 10 12 13
30 5 16 10 12 14
31 5 16 10 12 15
Impropers
1 1 6 3 8 7
2 2 8 6 10 9

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@ -0,0 +1,25 @@
variable units index real
variable input_dir index .
variable data_file index ${input_dir}/data.fourmol
variable pair_style index 'zero 8.0'
variable bond_style index zero
variable angle_style index zero
variable dihedral_style index zero
variable improper_style index zero
atom_style full
atom_modify map array
neigh_modify delay 2 every 2 check no
units ${units}
timestep 0.1
pair_style ${pair_style}
bond_style ${bond_style}
angle_style ${angle_style}
dihedral_style ${dihedral_style}
improper_style ${improper_style}
read_data ${data_file}
dihedral_coeff *
improper_coeff *

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@ -15,6 +15,17 @@ try:
except: except:
pass pass
has_full=False
try:
machine=None
if 'LAMMPS_MACHINE_NAME' in os.environ:
machine=os.environ['LAMMPS_MACHINE_NAME']
lmp=lammps(name=machine)
has_full = lmp.has_style("atom","full")
lmp.close()
except:
pass
try: try:
import numpy import numpy
NUMPY_INSTALLED = True NUMPY_INSTALLED = True
@ -32,6 +43,14 @@ class PythonNumpy(unittest.TestCase):
def tearDown(self): def tearDown(self):
del self.lmp del self.lmp
def checkBond(self, vals, btype, batom1, batom2):
if ((vals[1] == batom1 and vals[2] == batom2)
or (vals[1] == batom2 and vals[2] == batom1)):
self.assertEqual(vals[0], btype)
return 1
else:
return 0
def testLammpsPointer(self): def testLammpsPointer(self):
self.assertEqual(type(self.lmp.lmp), c_void_p) self.assertEqual(type(self.lmp.lmp), c_void_p)
@ -148,6 +167,50 @@ class PythonNumpy(unittest.TestCase):
self.assertTrue((x[1] == (1.0, 1.0, 1.5)).all()) self.assertTrue((x[1] == (1.0, 1.0, 1.5)).all())
self.assertEqual(len(v), 2) self.assertEqual(len(v), 2)
@unittest.skipIf(not has_full,"Gather bonds test")
def testGatherBond_newton_on(self):
self.lmp.command('shell cd ' + os.environ['TEST_INPUT_DIR'])
self.lmp.command("newton on on")
self.lmp.file("in.fourmol")
self.lmp.command("run 0 post no")
bonds = self.lmp.numpy.gather_bonds()
self.assertEqual(len(bonds),24)
count = 0
for bond in bonds:
count += self.checkBond(bond, 5, 1, 2)
count += self.checkBond(bond, 3, 1, 3)
count += self.checkBond(bond, 2, 3, 4)
count += self.checkBond(bond, 2, 3, 5)
count += self.checkBond(bond, 1, 6, 3)
count += self.checkBond(bond, 3, 6, 8)
count += self.checkBond(bond, 4, 6, 7)
count += self.checkBond(bond, 5, 8, 9)
count += self.checkBond(bond, 5, 27, 28)
count += self.checkBond(bond, 5, 29, 27)
self.assertEqual(count,10)
@unittest.skipIf(not has_full,"Gather bonds test")
def testGatherBond_newton_off(self):
self.lmp.command('shell cd ' + os.environ['TEST_INPUT_DIR'])
self.lmp.command("newton off off")
self.lmp.file("in.fourmol")
self.lmp.command("run 0 post no")
bonds = self.lmp.numpy.gather_bonds()
self.assertEqual(len(bonds),24)
count = 0
for bond in bonds:
count += self.checkBond(bond, 5, 1, 2)
count += self.checkBond(bond, 3, 1, 3)
count += self.checkBond(bond, 2, 3, 4)
count += self.checkBond(bond, 2, 3, 5)
count += self.checkBond(bond, 1, 6, 3)
count += self.checkBond(bond, 3, 6, 8)
count += self.checkBond(bond, 4, 6, 7)
count += self.checkBond(bond, 5, 8, 9)
count += self.checkBond(bond, 5, 27, 28)
count += self.checkBond(bond, 5, 29, 27)
self.assertEqual(count,10)
def testNeighborListSimple(self): def testNeighborListSimple(self):
self.lmp.commands_string(""" self.lmp.commands_string("""
units lj units lj

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@ -0,0 +1,90 @@
import sys,os,unittest
from lammps import lammps
has_full=False
try:
machine=None
if 'LAMMPS_MACHINE_NAME' in os.environ:
machine=os.environ['LAMMPS_MACHINE_NAME']
lmp=lammps(name=machine)
has_full = lmp.has_style("atom","full")
lmp.close()
except:
pass
class PythonGather(unittest.TestCase):
def setUp(self):
machine=None
if 'LAMMPS_MACHINE_NAME' in os.environ:
machine=os.environ['LAMMPS_MACHINE_NAME']
self.lmp=lammps(name=machine,
cmdargs=['-nocite',
'-log','none',
'-echo','screen'])
self.lmp.command('shell cd ' + os.environ['TEST_INPUT_DIR'])
# clean up temporary files
def tearDown(self):
self.lmp.close()
# bond data comparison
def checkBond(self, vals, btype, batom1, batom2):
if ((vals[1] == batom1 and vals[2] == batom2)
or (vals[1] == batom2 and vals[2] == batom1)):
self.assertEqual(vals[0], btype)
return 1
else:
return 0
##############################
@unittest.skipIf(not has_full, "Gather_bonds test")
def testGatherBond_newton_on(self):
"""Test gather_bonds() with newton on"""
self.lmp.command("newton on on")
self.lmp.file("in.fourmol")
self.lmp.command("run 0 post no")
nbonds, bonds = self.lmp.gather_bonds()
self.assertEqual(nbonds, 24)
self.assertEqual(len(bonds), 3*24)
count = 0;
for i in range(0,nbonds):
count += self.checkBond(bonds[3*i:3*i+3], 5, 1, 2)
count += self.checkBond(bonds[3*i:3*i+3], 3, 1, 3)
count += self.checkBond(bonds[3*i:3*i+3], 2, 3, 4)
count += self.checkBond(bonds[3*i:3*i+3], 2, 3, 5)
count += self.checkBond(bonds[3*i:3*i+3], 1, 6, 3)
count += self.checkBond(bonds[3*i:3*i+3], 3, 6, 8)
count += self.checkBond(bonds[3*i:3*i+3], 4, 6, 7)
count += self.checkBond(bonds[3*i:3*i+3], 5, 8, 9)
count += self.checkBond(bonds[3*i:3*i+3], 5, 27, 28)
count += self.checkBond(bonds[3*i:3*i+3], 5, 29, 27)
self.assertEqual(count,10)
@unittest.skipIf(not has_full, "Gather_bonds test")
def testGatherBond_newton_off(self):
"""Test gather_bonds() with newton off"""
self.lmp.command("newton off off")
self.lmp.file("in.fourmol")
self.lmp.command("run 0 post no")
nbonds, bonds = self.lmp.gather_bonds()
self.assertEqual(nbonds, 24)
self.assertEqual(len(bonds), 3*24)
count = 0;
for i in range(0,nbonds):
count += self.checkBond(bonds[3*i:3*i+3], 5, 1, 2)
count += self.checkBond(bonds[3*i:3*i+3], 3, 1, 3)
count += self.checkBond(bonds[3*i:3*i+3], 2, 3, 4)
count += self.checkBond(bonds[3*i:3*i+3], 2, 3, 5)
count += self.checkBond(bonds[3*i:3*i+3], 1, 3, 6)
count += self.checkBond(bonds[3*i:3*i+3], 3, 6, 8)
count += self.checkBond(bonds[3*i:3*i+3], 4, 6, 7)
count += self.checkBond(bonds[3*i:3*i+3], 5, 8, 9)
count += self.checkBond(bonds[3*i:3*i+3], 5, 27, 28)
count += self.checkBond(bonds[3*i:3*i+3], 5, 27, 29)
self.assertEqual(count,10)
##############################
if __name__ == "__main__":
unittest.main()