def set_edges(self, **edge_options):
"""
Sets the edge (or arrow) plotting parameters for the GraphPlot object. This
function is called by the constructor but can also be called to make updates to
the vertex options of an existing GraphPlot object. Note that the changes are
cumulative.
EXAMPLES::
sage: g = Graph({}, loops=True, multiedges=True, sparse=True)
sage: g.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = g.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
sage: d = DiGraph({}, loops=True, multiedges=True, sparse=True)
sage: d.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = d.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
TESTS::
sage: G = Graph("Fooba")
sage: G.show(edge_colors={'red':[(3,6),(2,5)]})
Verify that default edge labels are pretty close to being between the vertices
in some cases where they weren't due to truncating division (trac #10124)::
sage: test_graphs = graphs.FruchtGraph(), graphs.BullGraph()
sage: tol = 0.001
sage: for G in test_graphs:
... E=G.edges()
... for e0, e1, elab in E:
... G.set_edge_label(e0, e1, '%d %d' % (e0, e1))
... gp = G.graphplot(save_pos=True,edge_labels=True)
... vx = gp._plot_components['vertices'][0].xdata
... vy = gp._plot_components['vertices'][0].ydata
... for elab in gp._plot_components['edge_labels']:
... textobj = elab[0]
... x, y, s = textobj.x, textobj.y, textobj.string
... v0, v1 = map(int, s.split())
... vn = vector(((x-(vx[v0]+vx[v1])/2.),y-(vy[v0]+vy[v1])/2.)).norm()
... assert vn < tol
"""
for arg in edge_options:
self._options[arg] = edge_options[arg]
if 'edge_colors' in edge_options: self._options['color_by_label'] = False
# Handle base edge options: thickness, linestyle
eoptions={}
if 'edge_style' in self._options:
eoptions['linestyle'] = self._options['edge_style']
if 'thickness' in self._options:
eoptions['thickness'] = self._options['thickness']
# Set labels param to add labels on the fly
labels = False
if self._options['edge_labels']:
labels = True
self._plot_components['edge_labels'] = []
# Make dict collection of all edges (keep label and edge color)
edges_to_draw = {}
if self._options['color_by_label'] or isinstance(self._options['edge_colors'], dict):
if self._options['color_by_label']: edge_colors = self._graph._color_by_label()
else: edge_colors = self._options['edge_colors']
for color in edge_colors:
for edge in edge_colors[color]:
key = tuple(sorted([edge[0],edge[1]]))
if key == (edge[0],edge[1]): head = 1
else: head = 0
if len(edge) < 3:
label = self._graph.edge_label(edge[0],edge[1])
if isinstance(label, list):
if key in edges_to_draw:
edges_to_draw[key].append((label[-1], color, head))
else:
edges_to_draw[key] = [(label[-1], color, head)]
for i in range(len(label)-1):
edges_to_draw[key].append((label[-1], color, head))
else:
label = edge[2]
if key in edges_to_draw:
edges_to_draw[key].append((label, color, head))
else:
edges_to_draw[key] = [(label, color, head)]
# add unspecified edges in (default color black)
for edge in self._graph.edge_iterator():
key = tuple(sorted([edge[0],edge[1]]))
label = edge[2]
specified = False
if key in edges_to_draw:
for old_label, old_color, old_head in edges_to_draw[key]:
if label == old_label:
specified = True
break
if not specified:
if key == (edge[0],edge[1]): head = 1
else: head = 0
edges_to_draw[key] = [(label, 'black', head)]
else:
for edge in self._graph.edges(sort=True):
key = tuple(sorted([edge[0],edge[1]]))
if key == (edge[0],edge[1]): head = 1
else: head = 0
if key in edges_to_draw:
edges_to_draw[key].append((edge[2], self._options['edge_color'], head))
else:
edges_to_draw[key] = [(edge[2], self._options['edge_color'], head)]
if edges_to_draw:
self._plot_components['edges'] = []
else:
return
# Check for multi-edges or loops
if self._arcs or self._loops:
tmp = edges_to_draw.copy()
dist = self._options['dist']*2.
loop_size = self._options['loop_size']
max_dist = self._options['max_dist']
from sage.functions.all import sqrt
for (a,b) in tmp:
if a == b:
# Loops
distance = dist
local_labels = edges_to_draw.pop((a,b))
if len(local_labels)*dist > max_dist:
distance = float(max_dist)/len(local_labels)
curr_loop_size = loop_size
for i in range(len(local_labels)):
self._plot_components['edges'].append(circle((self._pos[a][0],self._pos[a][1]-curr_loop_size), curr_loop_size, rgbcolor=local_labels[i][1], **eoptions))
if labels:
self._plot_components['edge_labels'].append(text(local_labels[i][0], (self._pos[a][0], self._pos[a][1]-2*curr_loop_size)))
curr_loop_size += distance/4
elif len(edges_to_draw[(a,b)]) > 1:
# Multi-edge
local_labels = edges_to_draw.pop((a,b))
# Compute perpendicular bisector
p1 = self._pos[a]
p2 = self._pos[b]
M = ((p1[0]+p2[0])/2., (p1[1]+p2[1])/2.) # midpoint
if not p1[1] == p2[1]:
S = float(p1[0]-p2[0])/(p2[1]-p1[1]) # perp slope
y = lambda x : S*x-S*M[0]+M[1] # perp bisector line
# f,g are functions of distance d to determine x values
# on line y at d from point M
f = lambda d : sqrt(d**2/(1.+S**2)) + M[0]
g = lambda d : -sqrt(d**2/(1.+S**2)) + M[0]
odd_x = f
even_x = g
if p1[0] == p2[0]:
odd_y = lambda d : M[1]
even_y = odd_y
else:
odd_y = lambda x : y(f(x))
even_y = lambda x : y(g(x))
else:
odd_x = lambda d : M[0]
even_x = odd_x
odd_y = lambda d : M[1] + d
even_y = lambda d : M[1] - d
# We now have the control points for each bezier curve
# in terms of distance parameter d.
# Also note that the label for each edge should be drawn at d/2.
# (This is because we're using the perp bisectors).
distance = dist
if len(local_labels)*dist > max_dist:
distance = float(max_dist)/len(local_labels)
for i in range(len(local_labels)/2):
k = (i+1.0)*distance
if self._arcdigraph:
odd_start = self._polar_hack_for_multidigraph(p1, [odd_x(k),odd_y(k)], self._vertex_radius)[0]
odd_end = self._polar_hack_for_multidigraph([odd_x(k),odd_y(k)], p2, self._vertex_radius)[1]
even_start = self._polar_hack_for_multidigraph(p1, [even_x(k),even_y(k)], self._vertex_radius)[0]
even_end = self._polar_hack_for_multidigraph([even_x(k),even_y(k)], p2, self._vertex_radius)[1]
self._plot_components['edges'].append(arrow(path=[[odd_start,[odd_x(k),odd_y(k)],odd_end]], head=local_labels[2*i][2], zorder=1, rgbcolor=local_labels[2*i][1], **eoptions))
self._plot_components['edges'].append(arrow(path=[[even_start,[even_x(k),even_y(k)],even_end]], head=local_labels[2*i+1][2], zorder=1, rgbcolor=local_labels[2*i+1][1], **eoptions))
else:
self._plot_components['edges'].append(bezier_path([[p1,[odd_x(k),odd_y(k)],p2]],zorder=1, rgbcolor=local_labels[2*i][1], **eoptions))
self._plot_components['edges'].append(bezier_path([[p1,[even_x(k),even_y(k)],p2]],zorder=1, rgbcolor=local_labels[2*i+1][1], **eoptions))
if labels:
j = k/2.0
self._plot_components['edge_labels'].append(text(local_labels[2*i][0],[odd_x(j),odd_y(j)]))
self._plot_components['edge_labels'].append(text(local_labels[2*i+1][0],[even_x(j),even_y(j)]))
if len(local_labels)%2 == 1:
edges_to_draw[(a,b)] = [local_labels[-1]] # draw line for last odd
dir = self._graph.is_directed()
for (a,b) in edges_to_draw:
if self._arcdigraph:
C,D = self._polar_hack_for_multidigraph(self._pos[a], self._pos[b], self._vertex_radius)
self._plot_components['edges'].append(arrow(C,D, rgbcolor=edges_to_draw[(a,b)][0][1], head=edges_to_draw[(a,b)][0][2], **eoptions))
if labels:
self._plot_components['edge_labels'].append(text(str(edges_to_draw[(a,b)][0][0]),[(C[0]+D[0])/2., (C[1]+D[1])/2.]))
elif dir:
self._plot_components['edges'].append(arrow(self._pos[a],self._pos[b], rgbcolor=edges_to_draw[(a,b)][0][1], arrowshorten=self._arrowshorten, head=edges_to_draw[(a,b)][0][2], **eoptions))
else:
self._plot_components['edges'].append(line([self._pos[a],self._pos[b]], rgbcolor=edges_to_draw[(a,b)][0][1], **eoptions))
if labels and not self._arcdigraph:
self._plot_components['edge_labels'].append(text(str(edges_to_draw[(a,b)][0][0]),[(self._pos[a][0]+self._pos[b][0])/2., (self._pos[a][1]+self._pos[b][1])/2.]))
def set_edges(self, **edge_options):
"""
Sets the edge (or arrow) plotting parameters for the GraphPlot object. This
function is called by the constructor but can also be called to make updates to
the vertex options of an existing GraphPlot object. Note that the changes are
cumulative.
EXAMPLES::
sage: g = Graph({}, loops=True, multiedges=True, sparse=True)
sage: g.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = g.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
sage: d = DiGraph({}, loops=True, multiedges=True, sparse=True)
sage: d.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = d.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
TESTS::
sage: G = Graph("Fooba")
sage: G.show(edge_colors={'red':[(3,6),(2,5)]})
Verify that default edge labels are pretty close to being between the vertices
in some cases where they weren't due to truncating division (trac #10124)::
sage: test_graphs = graphs.FruchtGraph(), graphs.BullGraph()
sage: tol = 0.001
sage: for G in test_graphs:
... E=G.edges()
... for e0, e1, elab in E:
... G.set_edge_label(e0, e1, '%d %d' % (e0, e1))
... gp = G.graphplot(save_pos=True,edge_labels=True)
... vx = gp._plot_components['vertices'][0].xdata
... vy = gp._plot_components['vertices'][0].ydata
... for elab in gp._plot_components['edge_labels']:
... textobj = elab[0]
... x, y, s = textobj.x, textobj.y, textobj.string
... v0, v1 = map(int, s.split())
... vn = vector(((x-(vx[v0]+vx[v1])/2.),y-(vy[v0]+vy[v1])/2.)).norm()
... assert vn < tol
"""
for arg in edge_options:
self._options[arg] = edge_options[arg]
if 'edge_colors' in edge_options:
self._options['color_by_label'] = False
# Handle base edge options: thickness, linestyle
eoptions = {}
if 'edge_style' in self._options:
eoptions['linestyle'] = self._options['edge_style']
if 'thickness' in self._options:
eoptions['thickness'] = self._options['thickness']
# Set labels param to add labels on the fly
labels = False
if self._options['edge_labels']:
labels = True
self._plot_components['edge_labels'] = []
# Make dict collection of all edges (keep label and edge color)
edges_to_draw = {}
if self._options['color_by_label'] or isinstance(
self._options['edge_colors'], dict):
if self._options['color_by_label']:
edge_colors = self._graph._color_by_label()
else:
edge_colors = self._options['edge_colors']
for color in edge_colors:
for edge in edge_colors[color]:
key = tuple(sorted([edge[0], edge[1]]))
if key == (edge[0], edge[1]): head = 1
else: head = 0
if len(edge) < 3:
label = self._graph.edge_label(edge[0], edge[1])
if isinstance(label, list):
if key in edges_to_draw:
edges_to_draw[key].append(
(label[-1], color, head))
else:
edges_to_draw[key] = [(label[-1], color, head)]
for i in range(len(label) - 1):
edges_to_draw[key].append(
(label[-1], color, head))
else:
label = edge[2]
if key in edges_to_draw:
edges_to_draw[key].append((label, color, head))
else:
edges_to_draw[key] = [(label, color, head)]
# add unspecified edges in (default color black)
for edge in self._graph.edge_iterator():
key = tuple(sorted([edge[0], edge[1]]))
label = edge[2]
specified = False
if key in edges_to_draw:
for old_label, old_color, old_head in edges_to_draw[key]:
if label == old_label:
specified = True
break
if not specified:
if key == (edge[0], edge[1]): head = 1
else: head = 0
edges_to_draw[key] = [(label, 'black', head)]
else:
for edge in self._graph.edges(sort=True):
key = tuple(sorted([edge[0], edge[1]]))
if key == (edge[0], edge[1]): head = 1
else: head = 0
if key in edges_to_draw:
edges_to_draw[key].append(
(edge[2], self._options['edge_color'], head))
else:
edges_to_draw[key] = [(edge[2],
self._options['edge_color'], head)]
if edges_to_draw:
self._plot_components['edges'] = []
else:
return
# Check for multi-edges or loops
if self._arcs or self._loops:
tmp = edges_to_draw.copy()
dist = self._options['dist'] * 2.
loop_size = self._options['loop_size']
max_dist = self._options['max_dist']
from sage.functions.all import sqrt
for (a, b) in tmp:
if a == b:
# Loops
distance = dist
local_labels = edges_to_draw.pop((a, b))
if len(local_labels) * dist > max_dist:
distance = float(max_dist) / len(local_labels)
curr_loop_size = loop_size
for i in range(len(local_labels)):
self._plot_components['edges'].append(
circle((self._pos[a][0],
self._pos[a][1] - curr_loop_size),
curr_loop_size,
rgbcolor=local_labels[i][1],
**eoptions))
if labels:
self._plot_components['edge_labels'].append(
text(local_labels[i][0],
(self._pos[a][0],
self._pos[a][1] - 2 * curr_loop_size)))
curr_loop_size += distance / 4
elif len(edges_to_draw[(a, b)]) > 1:
# Multi-edge
local_labels = edges_to_draw.pop((a, b))
# Compute perpendicular bisector
p1 = self._pos[a]
p2 = self._pos[b]
M = (
(p1[0] + p2[0]) / 2., (p1[1] + p2[1]) / 2.) # midpoint
if not p1[1] == p2[1]:
S = float(p1[0] - p2[0]) / (p2[1] - p1[1]
) # perp slope
y = lambda x: S * x - S * M[0] + M[
1] # perp bisector line
# f,g are functions of distance d to determine x values
# on line y at d from point M
f = lambda d: sqrt(d**2 / (1. + S**2)) + M[0]
g = lambda d: -sqrt(d**2 / (1. + S**2)) + M[0]
odd_x = f
even_x = g
if p1[0] == p2[0]:
odd_y = lambda d: M[1]
even_y = odd_y
else:
odd_y = lambda x: y(f(x))
even_y = lambda x: y(g(x))
else:
odd_x = lambda d: M[0]
even_x = odd_x
odd_y = lambda d: M[1] + d
even_y = lambda d: M[1] - d
# We now have the control points for each bezier curve
# in terms of distance parameter d.
# Also note that the label for each edge should be drawn at d/2.
# (This is because we're using the perp bisectors).
distance = dist
if len(local_labels) * dist > max_dist:
distance = float(max_dist) / len(local_labels)
for i in range(len(local_labels) / 2):
k = (i + 1.0) * distance
if self._arcdigraph:
odd_start = self._polar_hack_for_multidigraph(
p1, [odd_x(k), odd_y(k)],
self._vertex_radius)[0]
odd_end = self._polar_hack_for_multidigraph(
[odd_x(k), odd_y(k)], p2,
self._vertex_radius)[1]
even_start = self._polar_hack_for_multidigraph(
p1, [even_x(k), even_y(k)],
self._vertex_radius)[0]
even_end = self._polar_hack_for_multidigraph(
[even_x(k), even_y(k)], p2,
self._vertex_radius)[1]
self._plot_components['edges'].append(
arrow(path=[[
odd_start, [odd_x(k), odd_y(k)], odd_end
]],
head=local_labels[2 * i][2],
zorder=1,
rgbcolor=local_labels[2 * i][1],
**eoptions))
self._plot_components['edges'].append(
arrow(path=[[
even_start, [even_x(k),
even_y(k)], even_end
]],
head=local_labels[2 * i + 1][2],
zorder=1,
rgbcolor=local_labels[2 * i + 1][1],
**eoptions))
else:
self._plot_components['edges'].append(
bezier_path(
[[p1, [odd_x(k), odd_y(k)], p2]],
zorder=1,
rgbcolor=local_labels[2 * i][1],
**eoptions))
self._plot_components['edges'].append(
bezier_path(
[[p1, [even_x(k), even_y(k)], p2]],
zorder=1,
rgbcolor=local_labels[2 * i + 1][1],
**eoptions))
if labels:
j = k / 2.0
self._plot_components['edge_labels'].append(
text(local_labels[2 * i][0],
[odd_x(j), odd_y(j)]))
self._plot_components['edge_labels'].append(
text(local_labels[2 * i + 1][0],
[even_x(j), even_y(j)]))
if len(local_labels) % 2 == 1:
edges_to_draw[(a, b)] = [local_labels[-1]
] # draw line for last odd
dir = self._graph.is_directed()
for (a, b) in edges_to_draw:
if self._arcdigraph:
C, D = self._polar_hack_for_multidigraph(
self._pos[a], self._pos[b], self._vertex_radius)
self._plot_components['edges'].append(
arrow(C,
D,
rgbcolor=edges_to_draw[(a, b)][0][1],
head=edges_to_draw[(a, b)][0][2],
**eoptions))
if labels:
self._plot_components['edge_labels'].append(
text(str(edges_to_draw[(a, b)][0][0]),
[(C[0] + D[0]) / 2., (C[1] + D[1]) / 2.]))
elif dir:
self._plot_components['edges'].append(
arrow(self._pos[a],
self._pos[b],
rgbcolor=edges_to_draw[(a, b)][0][1],
arrowshorten=self._arrowshorten,
head=edges_to_draw[(a, b)][0][2],
**eoptions))
else:
self._plot_components['edges'].append(
line([self._pos[a], self._pos[b]],
rgbcolor=edges_to_draw[(a, b)][0][1],
**eoptions))
if labels and not self._arcdigraph:
self._plot_components['edge_labels'].append(
text(str(edges_to_draw[(a, b)][0][0]),
[(self._pos[a][0] + self._pos[b][0]) / 2.,
(self._pos[a][1] + self._pos[b][1]) / 2.]))