def test_zero_capacity_edges(self):
"""Address issue raised in ticket #617 by arv."""
G = nx.DiGraph()
G.add_edges_from([(1, 2, {'capacity': 1, 'weight': 1}),
(1, 5, {'capacity': 1, 'weight': 1}),
(2, 3, {'capacity': 0, 'weight': 1}),
(2, 5, {'capacity': 1, 'weight': 1}),
(5, 3, {'capacity': 2, 'weight': 1}),
(5, 4, {'capacity': 0, 'weight': 1}),
(3, 4, {'capacity': 2, 'weight': 1})])
G.nodes[1]['demand'] = -1
G.nodes[2]['demand'] = -1
G.nodes[4]['demand'] = 2
flowCost, H = nx.network_simplex(G)
soln = {1: {2: 0, 5: 1},
2: {3: 0, 5: 1},
3: {4: 2},
4: {},
5: {3: 2, 4: 0}}
assert_equal(flowCost, 6)
assert_equal(nx.min_cost_flow_cost(G), 6)
assert_equal(H, soln)
assert_equal(nx.min_cost_flow(G), soln)
assert_equal(nx.cost_of_flow(G, H), 6)
flowCost, H = nx.capacity_scaling(G)
assert_equal(flowCost, 6)
assert_equal(H, soln)
assert_equal(nx.cost_of_flow(G, H), 6)
def test_digon(self):
"""Check if digons are handled properly. Taken from ticket
#618 by arv."""
nodes = [(1, {}),
(2, {'demand': -4}),
(3, {'demand': 4}),
]
edges = [(1, 2, {'capacity': 3, 'weight': 600000}),
(2, 1, {'capacity': 2, 'weight': 0}),
(2, 3, {'capacity': 5, 'weight': 714285}),
(3, 2, {'capacity': 2, 'weight': 0}),
]
G = nx.DiGraph(edges)
G.add_nodes_from(nodes)
flowCost, H = nx.network_simplex(G)
soln = {1: {2: 0},
2: {1: 0, 3: 4},
3: {2: 0}}
assert_equal(flowCost, 2857140)
assert_equal(nx.min_cost_flow_cost(G), 2857140)
assert_equal(H, soln)
assert_equal(nx.min_cost_flow(G), soln)
assert_equal(nx.cost_of_flow(G, H), 2857140)
flowCost, H = nx.capacity_scaling(G)
assert_equal(flowCost, 2857140)
assert_equal(H, soln)
assert_equal(nx.cost_of_flow(G, H), 2857140)
def test_digraph1(self):
# From Bradley, S. P., Hax, A. C. and Magnanti, T. L. Applied
# Mathematical Programming. Addison-Wesley, 1977.
G = nx.DiGraph()
G.add_node(1, demand=-20)
G.add_node(4, demand=5)
G.add_node(5, demand=15)
G.add_edges_from([(1, 2, {'capacity': 15, 'weight': 4}),
(1, 3, {'capacity': 8, 'weight': 4}),
(2, 3, {'weight': 2}),
(2, 4, {'capacity': 4, 'weight': 2}),
(2, 5, {'capacity': 10, 'weight': 6}),
(3, 4, {'capacity': 15, 'weight': 1}),
(3, 5, {'capacity': 5, 'weight': 3}),
(4, 5, {'weight': 2}),
(5, 3, {'capacity': 4, 'weight': 1})])
flowCost, H = nx.network_simplex(G)
soln = {1: {2: 12, 3: 8},
2: {3: 8, 4: 4, 5: 0},
3: {4: 11, 5: 5},
4: {5: 10},
5: {3: 0}}
assert_equal(flowCost, 150)
assert_equal(nx.min_cost_flow_cost(G), 150)
assert_equal(H, soln)
assert_equal(nx.min_cost_flow(G), soln)
assert_equal(nx.cost_of_flow(G, H), 150)
flowCost, H = nx.capacity_scaling(G)
assert_equal(flowCost, 150)
assert_equal(H, soln)
assert_equal(nx.cost_of_flow(G, H), 150)
def test_finite_capacity_neg_digon(self):
"""The digon should receive the maximum amount of flow it can handle.
Taken from ticket #749 by @chuongdo."""
G = nx.DiGraph()
G.add_edge('a', 'b', capacity=1, weight=-1)
G.add_edge('b', 'a', capacity=1, weight=-1)
min_cost = -2
assert_equal(nx.min_cost_flow_cost(G), min_cost)
def test_finite_capacity_neg_digon(self):
"""The digon should receive the maximum amount of flow it can handle.
Taken from ticket #749 by @chuongdo."""
G = nx.DiGraph()
G.add_edge('a', 'b', capacity=1, weight=-1)
G.add_edge('b', 'a', capacity=1, weight=-1)
min_cost = -2
assert_equal(nx.min_cost_flow_cost(G), min_cost)
flowCost, H = nx.capacity_scaling(G)
assert_equal(flowCost, -2)
assert_equal(H, {'a': {'b': 1}, 'b': {'a': 1}})
assert_equal(nx.cost_of_flow(G, H), -2)
def test_transshipment(self):
G = nx.DiGraph()
G.add_node('a', demand=1)
G.add_node('b', demand=-2)
G.add_node('c', demand=-2)
G.add_node('d', demand=3)
G.add_node('e', demand=-4)
G.add_node('f', demand=-4)
G.add_node('g', demand=3)
G.add_node('h', demand=2)
G.add_node('r', demand=3)
G.add_edge('a', 'c', weight=3)
G.add_edge('r', 'a', weight=2)
G.add_edge('b', 'a', weight=9)
G.add_edge('r', 'c', weight=0)
G.add_edge('b', 'r', weight=-6)
G.add_edge('c', 'd', weight=5)
G.add_edge('e', 'r', weight=4)
G.add_edge('e', 'f', weight=3)
G.add_edge('h', 'b', weight=4)
G.add_edge('f', 'd', weight=7)
G.add_edge('f', 'h', weight=12)
G.add_edge('g', 'd', weight=12)
G.add_edge('f', 'g', weight=-1)
G.add_edge('h', 'g', weight=-10)
flowCost, H = nx.network_simplex(G)
soln = {'a': {'c': 0},
'b': {'a': 0, 'r': 2},
'c': {'d': 3},
'd': {},
'e': {'r': 3, 'f': 1},
'f': {'d': 0, 'g': 3, 'h': 2},
'g': {'d': 0},
'h': {'b': 0, 'g': 0},
'r': {'a': 1, 'c': 1}}
assert_equal(flowCost, 41)
assert_equal(nx.min_cost_flow_cost(G), 41)
assert_equal(H, soln)
assert_equal(nx.min_cost_flow(G), soln)
assert_equal(nx.cost_of_flow(G, H), 41)
flowCost, H = nx.capacity_scaling(G)
assert_equal(flowCost, 41)
assert_equal(nx.cost_of_flow(G, H), 41)
assert_equal(H, soln)
def test_simple_digraph(self):
G = nx.DiGraph()
G.add_node('a', demand = -5)
G.add_node('d', demand = 5)
G.add_edge('a', 'b', weight = 3, capacity = 4)
G.add_edge('a', 'c', weight = 6, capacity = 10)
G.add_edge('b', 'd', weight = 1, capacity = 9)
G.add_edge('c', 'd', weight = 2, capacity = 5)
flowCost, H = nx.network_simplex(G)
soln = {'a': {'b': 4, 'c': 1},
'b': {'d': 4},
'c': {'d': 1},
'd': {}}
assert_equal(flowCost, 24)
assert_equal(nx.min_cost_flow_cost(G), 24)
assert_equal(H, soln)
assert_equal(nx.min_cost_flow(G), soln)
assert_equal(nx.cost_of_flow(G, H), 24)
def test_digraph1(self):
# From Bradley, S. P., Hax, A. C. and Magnanti, T. L. Applied
# Mathematical Programming. Addison-Wesley, 1977.
G = nx.DiGraph()
G.add_node(1, demand=-20)
G.add_node(4, demand=5)
G.add_node(5, demand=15)
G.add_edges_from([
(1, 2, {
"capacity": 15,
"weight": 4
}),
(1, 3, {
"capacity": 8,
"weight": 4
}),
(2, 3, {
"weight": 2
}),
(2, 4, {
"capacity": 4,
"weight": 2
}),
(2, 5, {
"capacity": 10,
"weight": 6
}),
(3, 4, {
"capacity": 15,
"weight": 1
}),
(3, 5, {
"capacity": 5,
"weight": 3
}),
(4, 5, {
"weight": 2
}),
(5, 3, {
"capacity": 4,
"weight": 1
}),
])
flowCost, H = nx.network_simplex(G)
soln = {
1: {
2: 12,
3: 8
},
2: {
3: 8,
4: 4,
5: 0
},
3: {
4: 11,
5: 5
},
4: {
5: 10
},
5: {
3: 0
},
}
assert flowCost == 150
assert nx.min_cost_flow_cost(G) == 150
assert H == soln
assert nx.min_cost_flow(G) == soln
assert nx.cost_of_flow(G, H) == 150
flowCost, H = nx.capacity_scaling(G)
assert flowCost == 150
assert H == soln
assert nx.cost_of_flow(G, H) == 150
G.add_edge('4', '7', capacity=14.0)
G.add_edge('4', '6', capacity=6.0)
G.add_edge('5', '6', capacity=4.0)
G.add_edge('5', '7', capacity=16.0)
G.add_edge('6', '3', capacity=10.0)
G.add_edge('6', '4', capacity=6.0)
G.add_edge('6', '5', capacity=4.0)
G.add_edge('6', '7', capacity=4.0)
pos = nx.circular_layout(G)
weights = nx.get_edge_attributes(G, 'capacity')
nx.draw_networkx(G, pos)
nx.draw_networkx_edge_labels(G, pos, edge_labels=weights)
plt.show()
print(nx.maximum_flow(G, '1', '7'))
# 2
G = nx.DiGraph()
G.add_node('1', demand=-20)
G.add_node('4', demand=5)
G.add_node('5', demand=15)
G.add_edge('1', '2', weight=12, capacity=15)
G.add_edge('1', '3', weight=14, capacity=8)
G.add_edge('2', '3', weight=5, capacity=100)
G.add_edge('2', '4', weight=4, capacity=4)
G.add_edge('2', '5', weight=9, capacity=10)
G.add_edge('3', '4', weight=2, capacity=15)
G.add_edge('3', '5', weight=5, capacity=5)
G.add_edge('4', '5', weight=12, capacity=100)
G.add_edge('5', '3', weight=5, capacity=4)
print(nx.min_cost_flow(G))
print(nx.min_cost_flow_cost(G))
def test_transshipment(self):
G = nx.DiGraph()
G.add_node('a', demand=1)
G.add_node('b', demand=-2)
G.add_node('c', demand=-2)
G.add_node('d', demand=3)
G.add_node('e', demand=-4)
G.add_node('f', demand=-4)
G.add_node('g', demand=3)
G.add_node('h', demand=2)
G.add_node('r', demand=3)
G.add_edge('a', 'c', weight=3)
G.add_edge('r', 'a', weight=2)
G.add_edge('b', 'a', weight=9)
G.add_edge('r', 'c', weight=0)
G.add_edge('b', 'r', weight=-6)
G.add_edge('c', 'd', weight=5)
G.add_edge('e', 'r', weight=4)
G.add_edge('e', 'f', weight=3)
G.add_edge('h', 'b', weight=4)
G.add_edge('f', 'd', weight=7)
G.add_edge('f', 'h', weight=12)
G.add_edge('g', 'd', weight=12)
G.add_edge('f', 'g', weight=-1)
G.add_edge('h', 'g', weight=-10)
flowCost, H = nx.network_simplex(G)
soln = {
'a': {
'c': 0
},
'b': {
'a': 0,
'r': 2
},
'c': {
'd': 3
},
'd': {},
'e': {
'r': 3,
'f': 1
},
'f': {
'd': 0,
'g': 3,
'h': 2
},
'g': {
'd': 0
},
'h': {
'b': 0,
'g': 0
},
'r': {
'a': 1,
'c': 1
}
}
assert_equal(flowCost, 41)
assert_equal(nx.min_cost_flow_cost(G), 41)
assert_equal(H, soln)
assert_equal(nx.min_cost_flow(G), soln)
assert_equal(nx.cost_of_flow(G, H), 41)
flowCost, H = nx.capacity_scaling(G)
assert_equal(flowCost, 41)
assert_equal(nx.cost_of_flow(G, H), 41)
assert_equal(H, soln)
def test_digraph1(self):
# From Bradley, S. P., Hax, A. C. and Magnanti, T. L. Applied
# Mathematical Programming. Addison-Wesley, 1977.
G = nx.DiGraph()
G.add_node(1, demand=-20)
G.add_node(4, demand=5)
G.add_node(5, demand=15)
G.add_edges_from([(1, 2, {
'capacity': 15,
'weight': 4
}), (1, 3, {
'capacity': 8,
'weight': 4
}), (2, 3, {
'weight': 2
}), (2, 4, {
'capacity': 4,
'weight': 2
}), (2, 5, {
'capacity': 10,
'weight': 6
}), (3, 4, {
'capacity': 15,
'weight': 1
}), (3, 5, {
'capacity': 5,
'weight': 3
}), (4, 5, {
'weight': 2
}), (5, 3, {
'capacity': 4,
'weight': 1
})])
flowCost, H = nx.network_simplex(G)
soln = {
1: {
2: 12,
3: 8
},
2: {
3: 8,
4: 4,
5: 0
},
3: {
4: 11,
5: 5
},
4: {
5: 10
},
5: {
3: 0
}
}
assert_equal(flowCost, 150)
assert_equal(nx.min_cost_flow_cost(G), 150)
assert_equal(H, soln)
assert_equal(nx.min_cost_flow(G), soln)
assert_equal(nx.cost_of_flow(G, H), 150)
flowCost, H = nx.capacity_scaling(G)
assert_equal(flowCost, 150)
assert_equal(H, soln)
assert_equal(nx.cost_of_flow(G, H), 150)
def constrcut_flow_graph(reach_graph,sorted_bbox,flow_graph=None,scores=None):
def to_left_node(index):
return 2*index+1
def to_right_node(index):
return 2*index+2
def scale_to_int(score):
MAX_VALUE = 10000
return int(score*MAX_VALUE)
def compute_box_center(box):
center_y = (box[3]+box[1])/2
center_x = (box[2]+box[0])/2
return center_x,center_y
def get_data_cost(score):
return scale_to_int(score)
def get_smoothness_cost(box1, box2):
alpha=0.0
h1=box1[3]-box1[1]+1
h2=box2[3]-box2[1]+1
x1, y1=compute_box_center(box1)
x2, y2=compute_box_center(box2)
d=((x1-x2)**2+(y1-y2)**2)**0.5/min(h1,h2)
s=float(abs(h1-h2))/min(h1, h2)
return scale_to_int(alpha*d+(1-alpha)*s)
def get_entry_cost(index,reach_graph,scores):
reach_node_costs = [scores[left] for left, right in reach_graph.edges() if right == index]
sorted_costs = sorted(reach_node_costs)
if len(sorted_costs) > 0:
cost = scale_to_int(-sorted_costs[-1])
else:
cost = 0
return cost
def get_exit_cost(index,reach_graph,scores):
reach_node_costs = [scores[right] for left, right in reach_graph.edges() if left == index]
sorted_costs = sorted(reach_node_costs)
if len(sorted_costs) > 0:
cost = scale_to_int(-sorted_costs[-1])
else:
cost = 0
return cost
def overlaps(box1,box2):
h1=box1[3]-box1[1]+1
h2=box2[3]-box2[1]+1
overlaps=min(box2[3], box1[3])-max(box1[1], box2[1])
overlaps=overlaps if overlaps>0 else 0
return float(overlaps)/h2
length = len(sorted_bbox)
scores = [-1 for i in range(length)]
if flow_graph == None:
#box
print 'construct graph'
flow_graph = nx.DiGraph()
ENTRY_NODE = -1
flow_graph.add_node(ENTRY_NODE,demand = -1)
EXIT_NODE = -2
flow_graph.add_node(EXIT_NODE,demand = 1)
# data cost
for index in range(length):
left_node = to_left_node(index)
right_node = to_right_node(index)
flow_graph.add_node(left_node)
flow_graph.add_node(right_node)
data_cost = get_data_cost(scores[index])
flow_graph.add_edge(left_node,right_node,weight=data_cost,capacity = 1)
# smoothness cost
for left,right in reach_graph.edges():
left_node = to_right_node(left)
right_node = to_left_node(right)
smoothness_cost = get_smoothness_cost(sorted_bbox[left],sorted_bbox[right])
flow_graph.add_edge(left_node,right_node,weight=smoothness_cost,capacity = 1)
# entry cost
for index in range(length):
entry_cost = get_entry_cost(index,reach_graph,scores)
left_node = to_left_node(index)
flow_graph.add_edge(ENTRY_NODE,left_node,weight=entry_cost,capacity = 1)
# exit cost
for index in range(length):
exit_cost = get_exit_cost(index,reach_graph,scores)
right_node = to_right_node(index)
flow_graph.add_edge(right_node,EXIT_NODE,weight=exit_cost,capacity = 1)
box_inds=[]
flowDict = nx.min_cost_flow(flow_graph)
flowCost = nx.min_cost_flow_cost(flow_graph)
for index in range(length):
left_node=to_left_node(index)
right_node=to_right_node(index)
try:
find = [node for node, value in flowDict[left_node].iteritems() if value == 1]
except:
find = []
if len(find)>0:
box_inds.append(index)
# find node overlaps over 0.5
remove_inds = box_inds
'''
for index in box_inds:
print index
node_neighbor_right = [right for left, right in reach_graph.edges() if left == index]
node_neighbor_left = [left for left, right in reach_graph.edges() if right == index]
for node_index in node_neighbor_right:
if overlaps(sorted_bbox[node_index],sorted_bbox[index]) > 0.5:
remove_inds.append(node_index)
for node_index in node_neighbor_left:
if overlaps(sorted_bbox[node_index],sorted_bbox[index]) > 0.5:
remove_inds.append(node_index)
'''
# remove node for next iteration
for index in remove_inds:
left_node = to_right_node(index)
right_node = to_left_node(index)
if left_node > 0:
flow_graph.remove_node(left_node)
if right_node > 0:
flow_graph.remove_node(right_node)
return box_inds,flowCost,flow_graph
import networkx as nx
n = 1000
w = 5000
G = nx.DiGraph()
G.add_node("source", demand=-w)
G.add_node("target", demand=w)
G.add_nodes_from(range(n))
with open("Pf-lossro.txt") as f:
for i, available in enumerate(next(f).split()):
G.add_edge("source", i, capacity=int(available))
for i, required in enumerate(next(f).split()):
G.add_edge(i, "target", capacity=int(required))
for i, line in enumerate(f):
for j, cost in enumerate(line.split()):
G.add_edge(i, j, weight=int(cost))
print("minimal cost: ", nx.min_cost_flow_cost(G))
G.add_node(newnode,demand=0)
G.add_edge(head,newnode,weight=int(cost),capacity=int(cap))
G.add_edge(newnode,tail,weight=0,capacity=int(cap))
n+=1
if (head,tail) not in G.edges():
G.add_edge(head,tail,weight=int(cost),capacity=int(cap))
return G
G_40 = create_graph('gte_bad.40')
G_6830 = create_graph('gte_bad.6830')
G_176280 = create_graph('gte_bad.176280')
print "Correct value for _40 instance:", nx.min_cost_flow_cost(G_40) == 52099553858
print "Correct value for _6830 instance:", nx.min_cost_flow_cost(G_6830) == 299390431788
print "Correct value for _176280 instance:", nx.min_cost_flow_cost(G_176280) == 510585093810
import pulp
def lp_flow_value(G):
nodes=[a for a in G.nodes() ]
demand={a:G.node[a]['demand'] for a in G.nodes()}
arcs=[(a,b) for(a,b) in G.edges()]
arcdata={(a,b):[G.edge[a][b]['weight'],G.edge[a][b]['capacity']] for (a,b) in G.edges()}
(weight,cap)=pulp.splitDict(arcdata)
vars = pulp.LpVariable.dicts("Route",arcs,None,None,pulp.LpInteger)
#最大流、最小カット
g = nx.DiGraph()
g.add_edges_from([(0, 3, {'capacity': 10}),
(1, 2, {'capacity': 15})])
g.add_edge(1, 3, capacity=20)
nx.maximum_flow(g, 1, 3)
#(20, {0: {3: 0}, 3: {0: 0, 1: 0}, 1: {2: 0, 3: 20}, 2: {1: 0}})
nx.minimum_cut(g, 1, 3)
#(20, ({1, 2}, {0, 3}))
#最小費用流
G = nx.DiGraph()
G.add_node("a", demand=-5)
G.add_node("d", demand=5)
G.add_edge("a", "b", weight=3, capacity=4)
G.add_edge("a", "c", weight=6, capacity=10)
G.add_edge("b", "d", weight=1, capacity=9)
G.add_edge("c", "d", weight=2, capacity=5)
nx.min_cost_flow_cost(G)
#24
nx.min_cost_flow(G)
#{'a': {'b': 4, 'c': 1}, 'd': {}, 'b': {'d': 4}, 'c': {'d': 1}}
#最大マッチング
n=3
G = nx.Graph()
G.add_nodes_from(list(range(2*n)))
G.add_edge(0,0+n)
G.add_edge(0,1+n)
G.add_edge(1,1+n)
nx.algorithms.bipartite.maximum_matching(G,set(range(n)))
if 'demand' not in G.node[s]:
G.node[s]['demand'] = 0
return G
# The following will check that your code outputs the expected min cost flow values on several test instances.
# In[2]:
G_40 = create_graph('gte_bad.40')
G_6830 = create_graph('gte_bad.6830')
G_176280 = create_graph('gte_bad.176280')
print "Correct value for _40 instance:", nx.min_cost_flow_cost(G_40) == 52099553858
print "Correct value for _6830 instance:", nx.min_cost_flow_cost(G_6830) == 299390431788
print "Correct value for _176280 instance:", nx.min_cost_flow_cost(G_176280) == 510585093810
# ## Linear Programming
#
# Instead of using special-purpose min-cost flow solvers, you will now formulate the problems as linear programs and use general-purpose LP solvers to find the solutions.
# ### Question 3
#
# Implement the following function to formulate the flow LP and return the optimal value (i.e., minimum cost over feasible flows).
# In[3]:
def constrcut_flow_graph(reach_graph,
sorted_bbox,
flow_graph=None,
scores=None):
def to_left_node(index):
return 2 * index + 1
def to_right_node(index):
return 2 * index + 2
def scale_to_int(score):
MAX_VALUE = 10000
return int(score * MAX_VALUE)
def compute_box_center(box):
center_y = (box[3] + box[1]) / 2
center_x = (box[2] + box[0]) / 2
return center_x, center_y
def get_data_cost(score):
return scale_to_int(score)
def get_smoothness_cost(box1, box2):
alpha = 0.0
h1 = box1[3] - box1[1] + 1
h2 = box2[3] - box2[1] + 1
x1, y1 = compute_box_center(box1)
x2, y2 = compute_box_center(box2)
d = ((x1 - x2)**2 + (y1 - y2)**2)**0.5 / min(h1, h2)
s = float(abs(h1 - h2)) / min(h1, h2)
return scale_to_int(alpha * d + (1 - alpha) * s)
def get_entry_cost(index, reach_graph, scores):
reach_node_costs = [
scores[left] for left, right in reach_graph.edges()
if right == index
]
sorted_costs = sorted(reach_node_costs)
if len(sorted_costs) > 0:
cost = scale_to_int(-sorted_costs[-1])
else:
cost = 0
return cost
def get_exit_cost(index, reach_graph, scores):
reach_node_costs = [
scores[right] for left, right in reach_graph.edges()
if left == index
]
sorted_costs = sorted(reach_node_costs)
if len(sorted_costs) > 0:
cost = scale_to_int(-sorted_costs[-1])
else:
cost = 0
return cost
def overlaps(box1, box2):
h1 = box1[3] - box1[1] + 1
h2 = box2[3] - box2[1] + 1
overlaps = min(box2[3], box1[3]) - max(box1[1], box2[1])
overlaps = overlaps if overlaps > 0 else 0
return float(overlaps) / h2
length = len(sorted_bbox)
scores = [-1 for i in range(length)]
if flow_graph == None:
#box
print 'construct graph'
flow_graph = nx.DiGraph()
ENTRY_NODE = -1
flow_graph.add_node(ENTRY_NODE, demand=-1)
EXIT_NODE = -2
flow_graph.add_node(EXIT_NODE, demand=1)
# data cost
for index in range(length):
left_node = to_left_node(index)
right_node = to_right_node(index)
flow_graph.add_node(left_node)
flow_graph.add_node(right_node)
data_cost = get_data_cost(scores[index])
flow_graph.add_edge(left_node,
right_node,
weight=data_cost,
capacity=1)
# smoothness cost
for left, right in reach_graph.edges():
left_node = to_right_node(left)
right_node = to_left_node(right)
smoothness_cost = get_smoothness_cost(sorted_bbox[left],
sorted_bbox[right])
flow_graph.add_edge(left_node,
right_node,
weight=smoothness_cost,
capacity=1)
# entry cost
for index in range(length):
entry_cost = get_entry_cost(index, reach_graph, scores)
left_node = to_left_node(index)
flow_graph.add_edge(ENTRY_NODE,
left_node,
weight=entry_cost,
capacity=1)
# exit cost
for index in range(length):
exit_cost = get_exit_cost(index, reach_graph, scores)
right_node = to_right_node(index)
flow_graph.add_edge(right_node,
EXIT_NODE,
weight=exit_cost,
capacity=1)
box_inds = []
flowDict = nx.min_cost_flow(flow_graph)
flowCost = nx.min_cost_flow_cost(flow_graph)
for index in range(length):
left_node = to_left_node(index)
right_node = to_right_node(index)
try:
find = [
node for node, value in flowDict[left_node].iteritems()
if value == 1
]
except:
find = []
if len(find) > 0:
box_inds.append(index)
# find node overlaps over 0.5
remove_inds = box_inds
'''
for index in box_inds:
print index
node_neighbor_right = [right for left, right in reach_graph.edges() if left == index]
node_neighbor_left = [left for left, right in reach_graph.edges() if right == index]
for node_index in node_neighbor_right:
if overlaps(sorted_bbox[node_index],sorted_bbox[index]) > 0.5:
remove_inds.append(node_index)
for node_index in node_neighbor_left:
if overlaps(sorted_bbox[node_index],sorted_bbox[index]) > 0.5:
remove_inds.append(node_index)
'''
# remove node for next iteration
for index in remove_inds:
left_node = to_right_node(index)
right_node = to_left_node(index)
if left_node > 0:
flow_graph.remove_node(left_node)
if right_node > 0:
flow_graph.remove_node(right_node)
return box_inds, flowCost, flow_graph