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loadpath_optimise.py
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loadpath_optimise.py
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'''compas.algorithms.ags_forcediagram_optimise_loadpath:
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see http://www.gnu.org/licenses/.
'''
import os
import sys
import json
import cStringIO
import cProfile
import pstats
import traceback
from numpy import float64, seterr
from numpy import array, zeros, divide
from scipy.linalg import cho_solve, cho_factor
from scipy.optimize import minimize
sys.path.append(os.getenv('PYLIB'))
from compas.toolbox.vector import dot
from compas.datastructures.digraph import DiGraph
from compas.toolbox.linalg import connectivity_matrix
from compas.toolbox.linalg import normrow
__author__ = 'Tom Van Mele'
__copyright__ = 'Copyright 2014, BLOCK Research Group - ETH Zurich'
__license__ = 'GNU - General Public License'
__version__ = '0.0.1'
__email__ = 'vanmelet@ethz.ch'
__status__ = 'Development'
__date__ = '27.03.2014'
__contact__ = ['ETH Zurich',
'Institute for Technology in Architecture',
'BLOCK Research Group',
'Stefano-Franscini-Platz 5',
'HIL H 47',
'8093 Zurich',
'Switzerland']
seterr(all='ignore')
################################################################################
################################################################################
################################################################################
################################################################################
################################################################################
if __name__ == '__main__':
out_dict = {
'data': {},
'error': None,
'iterations': None,
'profile': None,
}
in_path = sys.argv[1]
out_path = sys.argv[2]
with open(in_path, 'rb') as f:
in_dict = json.load(f)
try:
profile = cProfile.Profile()
profile.enable()
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
config = in_dict.get('config', {})
params = config.get('params', [])
constraints = config.get('constraints', None)
bounds = config.get('bounds', None)
#-----------------------------------------------------------------------
vertex = in_dict['vertex']
edge = in_dict['edge']
halfedge = in_dict['halfedge']
reciprocal_vertex = in_dict['reciprocal.vertex']
reciprocal_edge = in_dict['reciprocal.edge']
reciprocal_halfedge = in_dict['reciprocal.halfedge']
#-----------------------------------------------------------------------
graph = DiGraph(vertex, edge, halfedge)
dual = DiGraph(reciprocal_vertex, reciprocal_edge, reciprocal_halfedge)
#-----------------------------------------------------------------------
key_to_index = graph.key_to_index
index_to_key = graph.index_to_key
leaves = graph.get_leaves()
fixed = [key_to_index[key] for key, attr in graph.node.iteritems() if attr['is_fixed'] or key in leaves]
free = [key_to_index[key] for key, attr in graph.node.iteritems() if not attr['is_fixed']]
cxcy = dict((key, (attr['cx'], attr['cy'])) for key, attr in graph.iternodes(True))
edges = graph.get_uv(key_to_index)
edge_to_index = graph.uv_to_index
m = graph.m
n = graph.n
#-----------------------------------------------------------------------
halfedge_to_index = {}
for (u, v), index in edge_to_index.iteritems():
halfedge_to_index[(u, v)] = index
halfedge_to_index[(v, u)] = index
interior_edges = [edge_to_index[(u, v)] for u, v in graph.iteredges() if u not in leaves and v not in leaves]
#-----------------------------------------------------------------------
xyz = graph.get_node_data('xyz', key_to_index)
xyz = array(xyz, dtype=float64)
xyz0 = xyz.copy()
C = connectivity_matrix(edges, 'csr')
q = graph.get_edge_data('q', edge_to_index)
q = array(q, dtype=float64).reshape((-1, 1))
#-----------------------------------------------------------------------
dual_n = dual.n
dual_key_to_index = dual.key_to_index
dual_index_to_key = dual.index_to_key
dual_free = [dual_key_to_index[key] for key in params]
dual_fixed = list(set(range(dual_n)) - set(dual_free))
dual_edges = dual.get_uv(dual_key_to_index)
dual_order = [edge_to_index[tuple(attr['primal'])] for u, v, attr in dual.iteredges(True)]
dual_order = [(i, j) for i, j in enumerate(dual_order)]
dual_order = [i for i, j in sorted(dual_order, key=lambda ij: ij[1])]
#-----------------------------------------------------------------------
xyzd = dual.get_node_data('xyz', dual_key_to_index)
xyzd = array(xyzd, dtype=float64)
xyzd0 = xyzd.copy()
Cd = connectivity_matrix(dual_edges, 'csr')
Cd = Cd[dual_order,:]
uvwd = Cd.dot(xyzd)
ld = normrow(uvwd)
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
keys = graph.node.keys()
shape_0 = sum([len(graph.halfedge[key]) for key in keys if key_to_index[key] in free])
shape_0 += sum([2 for key in keys if key_to_index[key] in fixed])
shape_0 += 2 * len(cxcy)
shape_1 = 2 * n
#-----------------------------------------------------------------------
line_of_action = {}
for leaf in leaves:
nbrs = graph.halfedge[leaf].keys()
node = nbrs[0]
index = key_to_index[leaf]
node_index = key_to_index[node]
p2 = [graph.node[leaf][_] for _ in 'xyz']
p1 = [graph.node[node][_] for _ in 'xyz']
a = p2[1] - p1[1]
b = p2[0] - p1[0]
c = p2[1] * p1[0] - p2[0] * p1[1]
line_of_action[(node, leaf)] = a, b, c
#-----------------------------------------------------------------------
A = zeros((shape_0, shape_1))
row = 0
for index in free:
key = index_to_key[index]
nbrs = graph.halfedge[key]
for nbr in nbrs:
edge_index = halfedge_to_index[(key, nbr)]
A[row, 2 * index] = + uvwd[edge_index, 1]
A[row, 2 * index + 1] = - uvwd[edge_index, 0]
row += 1
for index in fixed:
A[row, 2 * index] = 1
A[row + 1, 2 * index + 1] = 1
row += 2
for key in cxcy:
cx, cy = cxcy[key]
index = key_to_index[key]
A[row, 2 * index] = 1 if cx == 1.0 else 0
A[row + 1, 2 * index + 1] = 1 if cy == 1.0 else 0
row += 2
#-----------------------------------------------------------------------
b = zeros((shape_0, 1))
row = 0
for index in free:
key = index_to_key[index]
nbrs = graph.halfedge[key]
for nbr in nbrs:
nbr_index = key_to_index[nbr]
edge_index = halfedge_to_index[(key, nbr)]
dx = uvwd[edge_index, 0]
dy = uvwd[edge_index, 1]
x2 = xyz[nbr_index, 0]
y2 = xyz[nbr_index, 1]
b[row, 0] = y2 * (x2 - dx) - x2 * (y2 - dy)
row += 1
for index in fixed:
b[row, 0] = xyz[index, 0]
b[row + 1, 0] = xyz[index, 1]
row += 2
for key in cxcy:
cx, cy = cxcy[key]
index = key_to_index[key]
b[row, 0] = xyz[index, 0] if cx == 1.0 else 0
b[row + 1, 0] = xyz[index, 1] if cy == 1.0 else 0
row += 2
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
def objfun(xydi):
xyzd[dual_free, 0:2] = xydi.reshape((-1, 2), order='C')
if links:
for master, slave in links:
xyzd[dual_key_to_index[slave], 0] = xyzd[dual_key_to_index[master], 0]
uvwd = Cd.dot(xyzd)
ld = normrow(uvwd)
#-------------------------------------------------------------------
row = 0
for index in free:
key = index_to_key[index]
nbrs = graph.halfedge[key]
for nbr in nbrs:
edge_index = halfedge_to_index[(key, nbr)]
A[row, 2 * index] = + uvwd[edge_index, 1]
A[row, 2 * index + 1] = - uvwd[edge_index, 0]
row += 1
At = A.transpose()
AtA = At.dot(A)
AtA_factor = cho_factor(AtA)
for _ in range(100):
row = 0
for index in free:
key = index_to_key[index]
nbrs = graph.halfedge[key]
for nbr in nbrs:
nbr_index = key_to_index[nbr]
edge_index = halfedge_to_index[(key, nbr)]
dx = uvwd[edge_index, 0]
dy = uvwd[edge_index, 1]
x2 = xyz[nbr_index, 0]
y2 = xyz[nbr_index, 1]
b[row, 0] = y2 * (x2 - dx) - x2 * (y2 - dy)
row += 1
xy = cho_solve(AtA_factor, At.dot(b))
xy = xy.reshape((-1, 2), order='C')
xyz[free, 0:2] = xy[free]
for key in cxcy:
cx, cy = cxcy[key]
index = key_to_index[key]
if cx == 1.0:
xyz[index, 0] = xyz0[index, 0]
if cy == 1.0:
xyz[index, 1] = xyz0[index, 1]
for key in leaves:
index = key_to_index[key]
nbrs = graph.halfedge[key].keys()
nbr = nbrs[0]
nbr_index = key_to_index[nbr]
dy, dx, _ = line_of_action[(nbr, key)]
xyz[index, 0] = xyz[nbr_index, 0] + dx
xyz[index, 1] = xyz[nbr_index, 1] + dy
#-------------------------------------------------------------------
uvw = C.dot(xyz)
l = normrow(uvw)
ldl = ld * l
fval = sum(ldl[interior_edges])[0]
print fval
return fval
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
links = []
if constraints:
for key in constraints:
for constraint_type, constraint_data in constraints[key]:
if 'link' == constraint_type:
slave = key
master = constraint_data
links.append((master, slave))
temp = None
if bounds:
temp = [0] * (2*len(dual_free))
for i in xrange(len(dual_free)):
index = dual_free[i]
key = dual_index_to_key[index]
if key not in bounds:
temp[2*i] = (None, None)
temp[2*i + 1] = (None, None)
else:
x_bound, y_bound, z_bound = bounds[key]
temp[2*i] = x_bound
temp[2*i + 1] = y_bound
#-----------------------------------------------------------------------
method = 'L-BFGS-B'
x0 = xyzd0[dual_free, 0:2].reshape((-1, 1), order='C')
res = minimize(objfun,
x0,
method=method,
bounds=temp,
tol=1e-12,
options={'maxiter': 500})
print '------------------------------'
print 'scipy.optimize.minimize => {0}'.format(method)
print '------------------------------'
print 'Solution: {0}'.format(res.x)
print 'Success: {0}'.format(res.success)
print 'Cause of termination: {0}'.format(res.message)
#-----------------------------------------------------------------------
uvwd = Cd.dot(xyzd)
ld = normrow(uvwd)
uvw = C.dot(xyz)
l = normrow(uvw)
q = divide(ld, l)
q = divide(ld, l)
signs = array([-1 if dot(uvwd[i], uvw[i]) < 0 else +1 for i in xrange(m)]).reshape((-1, 1))
q = signs * q
f = q * l
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
for key, attr in graph.node.iteritems():
index = key_to_index[key]
attr['x'] = xyz[index, 0]
attr['y'] = xyz[index, 1]
for u, v, attr in graph.iteredges(True):
index = edge_to_index[(u, v)]
attr['q'] = q[index, 0]
attr['f'] = f[index, 0]
attr['l'] = l[index, 0]
for key, attr in dual.node.iteritems():
index = dual_key_to_index[key]
attr['x'] = xyzd[index, 0]
attr['y'] = xyzd[index, 1]
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
#-----------------------------------------------------------------------
profile.disable()
stream = cStringIO.StringIO()
stats = pstats.Stats(profile, stream=stream)
stats.strip_dirs()
stats.sort_stats(1)
stats.print_stats(20)
out_dict['profile'] = stream.getvalue()
out_dict['data']['vertex'] = graph.node
out_dict['data']['edge'] = graph.edge
out_dict['data']['reciprocal.vertex'] = dual.node
out_dict['data']['reciprocal.edge'] = dual.edge
except:
out_dict['data'] = None
out_dict['error'] = traceback.format_exc()
out_dict['iterations'] = None
out_dict['profile'] = None
with open(out_path, 'wb+') as f:
json.dump(out_dict, f)