graphinfo = {ginfo: [] for ginfo in ginfos}
numberLm = {me: [] for me in methods}
numberPm = {me: [] for me in methods}
#pmlength = {p:[] for p in pmlengths}
#links = {me:[] for me in methods}
for l in range(loops):
monitors = paH.placeMonitors(g, numberMonitor, cond)
paths = []
for i in range(len(monitors)):
for j in range(i + 1, len(monitors)):
if routing == "All":
paths += paH.getPathsByEdge(monitors[i], monitors[j],
g, float('inf'))
elif routing == "SP":
paths += dij.shortestpath(g, 1.0, monitors[i],
monitors[j])
print("paths are defined")
print("# of paths:{}".format(len(paths)))
graphinfo["paths"].append(len(paths))
#establish label for edges
#This is the order of vector x
#For example: x=[ea, ec, eb] => edgesLabel[ea]=0, edgesLabel[eb]=2, edgesLabel[ec]=1,
edgesLabel = {}
i = 0
for e in g.edges():
edgesLabel[e] = i
i += 1
labelEdge = {}
for edge, l in edgesLabel.items():
labelEdge[l] = edge
def shortest_path_stupid(self, x=None, y=None):
if x == None or y == None:
x = self.n
y = self.n
self.create_stupid_graph()
return dijkstra.shortestpath(self.graph, 'x{x}_y{y}'.format(x=x, y=y), 'horse')
def main():
# You can edit these vars:
# -----------------------
filename = 'matrix_plot3.png'
numberOfPoints = 200
gridWidth = 10000
gridHeight = 10000
edgesMinimum = 2
edgesMaximum = 4 # The maximum number of edges (connecting lines) a vertex can have
# -----------------------
edgesMaxDistance = (gridWidth / numberOfPoints) * 2
# instantiate the Rtree class
RtreeIndex = Rtree()
# CREATE THE RANDOM POINTS:
shapelyPointIndex = [
] # Stores index = shapely object - We will reference this point from its Index from this point on.
for idx in range(
numberOfPoints): # Each point gets its own index defined by i
x = random.randint(0, gridWidth)
y = random.randint(0, gridHeight)
iPoint = Point(x, y) # Create a new shapely POINT object
shapelyPointIndex.append(iPoint)
RtreeIndex.add(idx, (x, y, x, y)) # Add the point to the RTREE Index
del idx #unset temp variable
# --------------------------------------------------------------------------
#MultiPoint([(0, 0), (1, 1)])
#point.coords
#point.y point.x
lineMatrices = []
ComplexLines = []
graphIndex = {
} # This is a dictionary we will build into a graph/matrix - Each key will be an integer representing an index
# and each value will be a dictionary of dictionaries representing edges.
# iterate over all points to calculate each points nearest points
# build line segments for each point to near points.
# add all edges to a master complex line to compute intersection.
for idx, point in enumerate(shapelyPointIndex):
# Find nearby points quickly
rtreeMatches = list()
sRadiusX = gridWidth / 10
sRadiusY = gridHeight / 10
tries = 0
while (len(rtreeMatches) < edgesMinimum +
1): # Add 1 because we can assume it will always find itself
# Coords is a bounding-box to search within.
coords = (point.x - sRadiusX, point.y - sRadiusY,
point.x + sRadiusX, point.y + sRadiusY)
print "searching coords"
print coords
rtreeMatches = list(RtreeIndex.intersection(coords))
print "found: ", rtreeMatches, " ", len(rtreeMatches)
tries += 1
sRadiusX *= 1.5
sRadiusY *= 1.5
if (tries > 6): #Don't run forever if there is a logic problem.
break
del tries, sRadiusX, sRadiusY
# FIND POSSIBLE EDGES TO ADD BY SEARCHING REGION RECURSIVELY -----------
# AND CALCULATE DISTANCES TO POSSIBLE POINTS ---------------------------
# This dictionary will store our distances to each other point from this point.
edgeDistances = {}
# Calculate distances to matched points
for pointIdx in rtreeMatches:
if (pointIdx == idx):
continue # Don't record a distance to itself
mPoint = shapelyPointIndex[pointIdx]
edgeDistances[pointIdx] = round(
mPoint.distance(point),
2) # keep the distance accuracy reasonable
del mPoint, pointIdx, rtreeMatches
# create a list that references the distances index for the closest indexes and is sorted by close to far.
edgeDistancesIdx = sorted(edgeDistances, key=edgeDistances.get)
#-----------------------------------------------------------------------
# DECIDE WHICH EDGES TO ADD --------------------------------------------
# Now add a minimum number of points, and try to keep them within a logic distance
edgesAdded = 0
edgesIdx = [] # this will contain indexes to our added edges
for pointIdx in edgeDistancesIdx:
distance = edgeDistances[pointIdx]
# Stop adding edges if we've meant the minimum number of edges needed and the rest of the edges are too far away, or we have reach the maximum number of allowed edges
if ((edgesAdded >= edgesMinimum and distance > edgesMaxDistance)
or edgesAdded >= edgesMaximum):
break
edgesIdx.append(pointIdx)
del pointIdx
#-----------------------------------------------------------------------
# Initialize the graphIndex as a dict() for the current vertex if it hasn't been.
if (idx not in graphIndex):
graphIndex[idx] = {}
#ADD THE EDGES TO THE GRID STRUCTURE -----------------------------------
for pointIdx in edgesIdx:
# Add the edge
graphIndex[idx][pointIdx] = edgeDistances[pointIdx]
# Add the reverse edge (so both points share an edge)
if pointIdx not in graphIndex:
graphIndex[pointIdx] = {}
graphIndex[pointIdx][idx] = edgeDistances[pointIdx]
#-----------------------------------------------------------------------
# Print out the graph of vertices
pprint.pprint(graphIndex)
# Randomely select a Start Vertex, and an End Vertex for Shortest Path
# calculation
startIdx = random.randint(0, len(graphIndex) - 1)
endIdx = startIdx
# Calculate a random end index - and make sure its not the same as the start
while (endIdx == startIdx):
endIdx = random.randint(0, len(graphIndex) - 1)
# Setup shortest path calculation!
print "Calculating Shortest Path:\n"
# (8894.6959143222557, [11, 5, 8L, 7, 9])
# GraphIndex is a dictionary of dictionaries, startIdx is the INDEX of the startpoint, endIdx is the index of the endpoint vertex.
shortestPath = dijkstra.shortestpath(graphIndex, startIdx, endIdx)
shortestPathVertices = shortestPath[1]
shortestPathDistance = shortestPath[0]
print "Shortest Path Vertices:"
print shortestPathVertices, "\n"
del shortestPath
#_-------------------------------------------------------------------------------
# DRAW A PLOT FOR THE LINES CALCULATED ABOVE:
import matplotlib
matplotlib.use('Agg') # Do NOT attempt to open X11 instance
from pylab import *
from matplotlib.patches import Circle
import matplotlib.pyplot as pyplot
from matplotlib.text import *
mylist = lineMatrices
matplotlib.rcParams['lines.linewidth'] = 2
pyplot.axis([0, gridWidth, 0, gridHeight])
pyplot.grid(True)
# Setting the axis labels.
pyplot.xlabel('X Space')
pyplot.ylabel('Y Space')
figure = pyplot.figure()
labels = figure.add_subplot(111, projection='rectilinear')
#Give the plot a title
pyplot.title('Shapely Shortest Path Simulation')
del idx
if not isinstance(mylist, list):
print "The matrix is not a list!"
print type(mylist).__name__
for idx, edges in graphIndex.iteritems():
vertex = shapelyPointIndex[idx]
for edgeIdx, edgeDistance in edges.iteritems():
# This shouldn't happen, but lets just make sure.
# DONT PLOT A PATH TO OURSELF
if (edgeIdx == idx):
continue
# Get the edges point-coordinates
edgePoint = shapelyPointIndex[edgeIdx]
# Delete the reverse edge so we don't plot the line twice.
if (edgeIdx in graphIndex):
del graphIndex[edgeIdx][idx]
# Print Debuggin Information
print "PLOTTING EDGE: [%s] to [%s] X:[%s] Y:[%s] DIS:[%s] " % (
idx, edgeIdx, edgePoint.x, edgePoint.y, edgeDistance)
# Plot the edge!
pyplot.plot([vertex.x, edgePoint.x], [vertex.y, edgePoint.y],
'b-',
alpha=0.3,
linewidth=.2,
markersize=1)
# FIND THE MID-POINT OF THE LINE:
xMidpoint = (vertex.x + edgePoint.x) / 2
yMidpoint = (vertex.y + edgePoint.y) / 2
#print "Plotting Text [%s] [%s]" % (xMidpoint, yMidpoint)
# Figure out arrows later... arrowprops=dict(facecolor='black', linewidth=2, alpha=0.4),
# ANNOTATE THE LENGTH OF THE LINE AT ITS MIDPOINT
labels.annotate(edgeDistance,
xy=(xMidpoint, yMidpoint),
xytext=(xMidpoint + 80, yMidpoint),
alpha=0.4,
size='4',
color='green')
# end for ----------------------------------------------------------
# Plot the VERTEX as a Red Circle
pyplot.plot(vertex.x, vertex.y, 'ro', linewidth=2, markersize=2)
# Annotate the VERTEX by its INDEX
labels.annotate(idx,
xy=(vertex.x, vertex.y),
xytext=(vertex.x + 50, vertex.y),
alpha=0.6,
size='6',
color='red')
print "Graphing Shortest Path..."
print "START: %s END: %s" % (startIdx, endIdx)
#shortestPathVertices
for idx, vertexIdx in enumerate(shortestPathVertices):
if (vertexIdx == endIdx):
break # We are done
xy1 = shapelyPointIndex[vertexIdx] # this is the start of the line
vertex2 = shortestPathVertices[
idx +
1] # The end of the line is the next item in the list shortest path list of indexes
xy2 = shapelyPointIndex[vertex2] #this is the end of the line
pyplot.plot([xy1.x, xy2.x], [xy1.y, xy2.y],
'r--',
alpha=0.7,
linewidth=2,
markersize=1)
print "PLOT -> SHORTEST PATH: [%s] to [%s]" % (vertexIdx, vertex2)
print "Saving Plot Image %s" % (filename)
pyplot.savefig(os.getcwd() + '/' + str(filename), dpi=240)
print "\n\n"
"""
def main():
# You can edit these vars:
# -----------------------
filename='matrix_plot3.png'
numberOfPoints = 200
gridWidth = 10000
gridHeight = 10000
edgesMinimum = 2
edgesMaximum = 4 # The maximum number of edges (connecting lines) a vertex can have
# -----------------------
edgesMaxDistance = (gridWidth / numberOfPoints) * 2
# instantiate the Rtree class
RtreeIndex = Rtree()
# CREATE THE RANDOM POINTS:
shapelyPointIndex = [] # Stores index = shapely object - We will reference this point from its Index from this point on.
for idx in range(numberOfPoints): # Each point gets its own index defined by i
x = random.randint(0, gridWidth)
y = random.randint(0, gridHeight)
iPoint = Point(x, y) # Create a new shapely POINT object
shapelyPointIndex.append(iPoint)
RtreeIndex.add(idx, (x, y, x, y)) # Add the point to the RTREE Index
del idx #unset temp variable
# --------------------------------------------------------------------------
#MultiPoint([(0, 0), (1, 1)])
#point.coords
#point.y point.x
lineMatrices = []
ComplexLines = []
graphIndex = {} # This is a dictionary we will build into a graph/matrix - Each key will be an integer representing an index
# and each value will be a dictionary of dictionaries representing edges.
# iterate over all points to calculate each points nearest points
# build line segments for each point to near points.
# add all edges to a master complex line to compute intersection.
for idx, point in enumerate(shapelyPointIndex):
# Find nearby points quickly
rtreeMatches = list()
sRadiusX = gridWidth / 10
sRadiusY = gridHeight / 10
tries = 0
while(len(rtreeMatches) < edgesMinimum+1): # Add 1 because we can assume it will always find itself
# Coords is a bounding-box to search within.
coords = (point.x-sRadiusX, point.y-sRadiusY, point.x+sRadiusX, point.y+sRadiusY)
print "searching coords"
print coords
rtreeMatches = list(RtreeIndex.intersection(coords))
print "found: ", rtreeMatches, " ", len(rtreeMatches)
tries +=1
sRadiusX *= 1.5
sRadiusY *= 1.5
if(tries > 6): #Don't run forever if there is a logic problem.
break
del tries, sRadiusX, sRadiusY
# FIND POSSIBLE EDGES TO ADD BY SEARCHING REGION RECURSIVELY -----------
# AND CALCULATE DISTANCES TO POSSIBLE POINTS ---------------------------
# This dictionary will store our distances to each other point from this point.
edgeDistances={}
# Calculate distances to matched points
for pointIdx in rtreeMatches:
if(pointIdx == idx):
continue # Don't record a distance to itself
mPoint = shapelyPointIndex[pointIdx]
edgeDistances[pointIdx] = round(mPoint.distance(point), 2) # keep the distance accuracy reasonable
del mPoint, pointIdx, rtreeMatches
# create a list that references the distances index for the closest indexes and is sorted by close to far.
edgeDistancesIdx = sorted(edgeDistances, key=edgeDistances.get)
#-----------------------------------------------------------------------
# DECIDE WHICH EDGES TO ADD --------------------------------------------
# Now add a minimum number of points, and try to keep them within a logic distance
edgesAdded = 0
edgesIdx=[] # this will contain indexes to our added edges
for pointIdx in edgeDistancesIdx:
distance = edgeDistances[pointIdx]
# Stop adding edges if we've meant the minimum number of edges needed and the rest of the edges are too far away, or we have reach the maximum number of allowed edges
if((edgesAdded >= edgesMinimum and distance > edgesMaxDistance) or edgesAdded >= edgesMaximum):
break
edgesIdx.append(pointIdx)
del pointIdx
#-----------------------------------------------------------------------
# Initialize the graphIndex as a dict() for the current vertex if it hasn't been.
if(idx not in graphIndex):
graphIndex[idx] = {}
#ADD THE EDGES TO THE GRID STRUCTURE -----------------------------------
for pointIdx in edgesIdx:
# Add the edge
graphIndex[idx][pointIdx] = edgeDistances[pointIdx]
# Add the reverse edge (so both points share an edge)
if pointIdx not in graphIndex:
graphIndex[pointIdx] = {}
graphIndex[pointIdx][idx] = edgeDistances[pointIdx]
#-----------------------------------------------------------------------
# Print out the graph of vertices
pprint.pprint(graphIndex)
# Randomely select a Start Vertex, and an End Vertex for Shortest Path
# calculation
startIdx = random.randint(0, len(graphIndex)-1)
endIdx = startIdx
# Calculate a random end index - and make sure its not the same as the start
while(endIdx == startIdx):
endIdx = random.randint(0, len(graphIndex)-1)
# Setup shortest path calculation!
print "Calculating Shortest Path:\n"
# (8894.6959143222557, [11, 5, 8L, 7, 9])
# GraphIndex is a dictionary of dictionaries, startIdx is the INDEX of the startpoint, endIdx is the index of the endpoint vertex.
shortestPath = dijkstra.shortestpath(graphIndex, startIdx, endIdx)
shortestPathVertices = shortestPath[1]
shortestPathDistance = shortestPath[0]
print "Shortest Path Vertices:"
print shortestPathVertices, "\n"
del shortestPath
#_-------------------------------------------------------------------------------
# DRAW A PLOT FOR THE LINES CALCULATED ABOVE:
import matplotlib
matplotlib.use('Agg') # Do NOT attempt to open X11 instance
from pylab import *
from matplotlib.patches import Circle
import matplotlib.pyplot as pyplot
from matplotlib.text import *
mylist = lineMatrices
matplotlib.rcParams['lines.linewidth'] = 2
pyplot.axis([0, gridWidth, 0, gridHeight])
pyplot.grid(True)
# Setting the axis labels.
pyplot.xlabel('X Space')
pyplot.ylabel('Y Space')
figure = pyplot.figure()
labels = figure.add_subplot(111, projection='rectilinear')
#Give the plot a title
pyplot.title('Shapely Shortest Path Simulation')
del idx
if not isinstance(mylist, list):
print "The matrix is not a list!"
print type(mylist).__name__
for idx, edges in graphIndex.iteritems():
vertex = shapelyPointIndex[idx]
for edgeIdx, edgeDistance in edges.iteritems():
# This shouldn't happen, but lets just make sure.
# DONT PLOT A PATH TO OURSELF
if(edgeIdx == idx):
continue
# Get the edges point-coordinates
edgePoint = shapelyPointIndex[edgeIdx]
# Delete the reverse edge so we don't plot the line twice.
if(edgeIdx in graphIndex):
del graphIndex[edgeIdx][idx]
# Print Debuggin Information
print "PLOTTING EDGE: [%s] to [%s] X:[%s] Y:[%s] DIS:[%s] " % (idx, edgeIdx, edgePoint.x, edgePoint.y, edgeDistance)
# Plot the edge!
pyplot.plot([vertex.x, edgePoint.x], [vertex.y, edgePoint.y], 'b-', alpha=0.3, linewidth=.2, markersize=1)
# FIND THE MID-POINT OF THE LINE:
xMidpoint = (vertex.x + edgePoint.x) / 2
yMidpoint = (vertex.y + edgePoint.y) / 2
#print "Plotting Text [%s] [%s]" % (xMidpoint, yMidpoint)
# Figure out arrows later... arrowprops=dict(facecolor='black', linewidth=2, alpha=0.4),
# ANNOTATE THE LENGTH OF THE LINE AT ITS MIDPOINT
labels.annotate(edgeDistance, xy=(xMidpoint, yMidpoint), xytext=(xMidpoint+80, yMidpoint), alpha=0.4, size='4', color='green')
# end for ----------------------------------------------------------
# Plot the VERTEX as a Red Circle
pyplot.plot(vertex.x, vertex.y, 'ro', linewidth=2, markersize=2)
# Annotate the VERTEX by its INDEX
labels.annotate(idx, xy=(vertex.x, vertex.y), xytext=(vertex.x+50, vertex.y), alpha=0.6, size='6', color='red')
print "Graphing Shortest Path..."
print "START: %s END: %s" % (startIdx, endIdx)
#shortestPathVertices
for idx, vertexIdx in enumerate(shortestPathVertices):
if(vertexIdx == endIdx):
break # We are done
xy1 = shapelyPointIndex[vertexIdx] # this is the start of the line
vertex2 = shortestPathVertices[idx+1] # The end of the line is the next item in the list shortest path list of indexes
xy2 = shapelyPointIndex[vertex2] #this is the end of the line
pyplot.plot([xy1.x, xy2.x], [xy1.y, xy2.y], 'r--', alpha=0.7, linewidth=2, markersize=1)
print "PLOT -> SHORTEST PATH: [%s] to [%s]" % (vertexIdx, vertex2)
print "Saving Plot Image %s" % (filename)
pyplot.savefig(os.getcwd()+'/'+str(filename), dpi=240)
print "\n\n"
"""
