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nojhan 2011-01-20 23:22:12 +01:00
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import sys
import scipy
def write_segments( segments, size, depth, rounding, fd = sys.stdout,
node_coord_section=False,
edge_data_section=False,
edge_weight_section=True,
display_data_section=True ):
# construct a {coords:id} dictionary
nodes = {}
nb = 0
for segment in segments:
for coords in segment:
if not nodes.has_key(coords):
nodes[coords] = nb
nb += 1
fd.write( "NAME : penrose3_%i\n" % depth)
fd.write("COMMENT : Rhombus Penrose tiling (type P3) as generated by a L-system, at depth %i\n" % depth)
fd.write("TYPE : TSP\n")
fd.write("DIMENSION : %i\n" % nb )
if edge_weight_section:
fd.write("EDGE_WEIGHT_TYPE : EXPLICIT\n")
fd.write("EDGE_WEIGHT_FORMAT : FULL_MATRIX\n")
if edge_data_section:
fd.write("EDGE_DATA_FORMAT : ADJ_LIST\n") # via the weight matrix?
if node_coord_section:
fd.write("NODE_COORD_TYPE : TWOD_COORDS\n") # do not work with concord
if display_data_section:
fd.write("DISPLAY_DATA_TYPE : TWOD_DISPLAY\n")
if node_coord_section:
fd.write("NODE_COORD_SECTION\n")
fmt = "%"+str(len(str(nb)))+"i %"+str(rounding)+"f %"+str(rounding)+"f\n"
for x,y in nodes:
fd.write(fmt % (nodes[(x,y)],x,y))
if edge_data_section:
fd.write("EDGE_DATA_SECTION\n")
for segment in segments:
start,end = segment
fd.write( str(nodes[start])+" "+str(nodes[end])+"\n" )
if edge_weight_section:
fd.write("EDGE_WEIGHT_SECTION\n")
# fill the weights matrix with size where necessary
weights = scipy.zeros((nb,nb), type(size))
for segment in segments:
start,end = segment
weights[nodes[start],nodes[end]] = size
weights[nodes[end],nodes[start]] = size
#fd.write(nodes[start],nodes[end]
fmt = "%"+str(len(str(size)))+"i "
for i in xrange(weights.shape[0]):
# full matrix
for j in xrange(weights.shape[1]):
fd.write(fmt % weights[i,j])
fd.write('\n')
if display_data_section:
fd.write("DISPLAY_DATA_SECTION\n")
fmt = "%"+str(len(str(nb)))+"i %"+str(rounding)+"f %"+str(rounding)+"f\n"
for x,y in nodes:
fd.write(fmt % (nodes[(x,y)],x,y))
fd.write("EOF\n")
def read_tour_index( fd ):
tour = []
nb = int(fd.readline().strip())
for line in fd:
tour += line.split()
return map(int, tour)
def read_nodes( fd ):
"""Parse a .tsp file and returns a dictionary of nodes, of the form {id:(x,y)}"""
nodes = {}
data_section = False
for line in fd:
if line.strip() == "DISPLAY_DATA_SECTION":
data_section = True
continue
data = line.strip().split()
if len(data) != 3 or ( len(data) > 1 and data[0].isalpha() ):
data_section = False
if data_section == True:
nodes[ int(data[0]) ] = ( float(data[1]),float(data[2]) )
return nodes
def read_vertices( fd ):
vertices = set()
data_section = False
i=-1
for line in fd:
if line.strip() == "EDGE_WEIGHT_SECTION":
data_section = True
i=0
continue
data = line.strip().split()
if len(data)==0 or ( len(data) >= 1 and data[0][0].isalpha() ):
data_section = False
if data_section == True:
for j in xrange(len(data)):
if float(data[j]) != 0 and (j,i) not in vertices:
vertices.add( (i,j) )
i += 1
return vertices
def plot_segments( segments ):
import matplotlib.pyplot as plot
from matplotlib.path import Path
import matplotlib.patches as patches
fig = plot.figure()
ax = fig.add_subplot(111)
for segment in segments:
start,end = segment
verts = [start,end,(0,0)]
codes = [Path.MOVETO,Path.LINETO,Path.STOP]
path = Path(verts, codes)
patch = patches.PathPatch(path, facecolor='none', lw=1)
ax.add_patch(patch)
ax.set_xlim(-50,50)
ax.set_ylim(-50,50)
plot.show()
def plot_segments_tour( segments_1, segments_2 ):
import matplotlib.pyplot as plot
from matplotlib.path import Path
import matplotlib.patches as patches
fig = plot.figure()
ax = fig.add_subplot(111)
for segment in segments_1:
start,end = segment
verts = [start,end,(0,0)]
codes = [Path.MOVETO,Path.LINETO,Path.STOP]
path = Path(verts, codes)
patch = patches.PathPatch(path, facecolor='0.5', lw=1)
ax.add_patch(patch)
for segment in segments_2:
start,end = segment
verts = [start,end,(0,0)]
codes = [Path.MOVETO,Path.LINETO,Path.STOP]
path = Path(verts, codes)
patch = patches.PathPatch(path, facecolor='1.0', lw=3)
ax.add_patch(patch)
ax.set_xlim(-50,50)
ax.set_ylim(-50,50)
plot.show()
if __name__=="__main__":
import sys
# segments = [
# ( (0,0),(0,2) ),
# ( (0,2),(2,2) ),
# ( (2,2),(2,0) ),
# ( (2,0),(0,0) )
# ]
#
# filename = "test.tsp"
# with open(filename,"w") as fd:
# write_segments( segments, fd=fd, size=1, depth=0, rounding=10 )
# write_segments( segments, fd=sys.stdout, size=1, depth=0, rounding=10 )
#
# with open(filename,"r") as fd:
# nodes = read_nodes( fd )
#
# print "Nodes: id (x, y)"
# for idx,node in nodes.items():
# print idx,node
#
# with open(filename,"r") as fd:
# vertices = read_vertices( fd )
#
# print "Segments: (x1,y1) (x2,y2)"
# segments = []
# for i1,i2 in vertices:
# print nodes[i1],nodes[i2]
# segments.append( (nodes[i1],nodes[i2]) )
#
# plot_segments( segments )
finstance = sys.argv[1]
ftour = sys.argv[2]
print "Read nodes"
with open(finstance,"r") as fd:
nodes = read_nodes( fd )
print "Read vertices"
with open(finstance,"r") as fd:
vertices = read_vertices( fd )
print "Build segments"
segments = []
for i1,i2 in vertices:
#print nodes[i1],nodes[i2]
segments.append( (nodes[i1],nodes[i2]) )
# print "Plot segments"
# plot_segments( segments )
print "Read tour"
with open(ftour,"r") as fd:
tour = read_tour_index( fd )
print "Build tour segments"
tour_segments = []
for i in xrange(0,len(tour)-1):
tour_segments.append( ( nodes[tour[i]],nodes[tour[i+1]] ) )
print tour_segments[-1]
tour_segments.append( ( nodes[tour[i+1]], nodes[tour[0]] ) )
print tour_segments[-1]
print "Plot tour segments"
plot_segments_tour( segments, tour_segments )