def viz_tree(self):
self.graph_num += 1
if self.debug > 0:
err.log("Generating DOT for tree diagram number " +
str(self.graph_num))
graph = Digraph()
graph.format = 'eps'
graph.body.extend(['size="10,10"', 'fontpath="/home/M/.fonts/"'])
graph.attr('node', shape='circle')
graph.attr('node', style='filled')
graph.attr('node', color='black')
graph.attr('node', fixedsize='true')
graph.attr('node', height='0.75')
graph.attr('node', width='0.75')
graph.attr('node', fontcolor='white')
graph.attr('node', fontname='InputMono-Bold')
graph.attr('edge', arrowhead='none')
graph.attr('edge', style='filled')
stack = [self.root]
nodes = set()
while len(stack) > 0:
self.add_node(stack.pop(), stack, graph, nodes)
return graph
def verify_tree_ref(self):
node = self.root
# The parent of the root node should always be root
if node.p is not node:
err.warn("Root's (" + str(node) + ") parent isn't root")
return False
# Verify the parent and children pointers are valid for each subtree
left = self.verify_tree_ref_helper(node, node.l, True)
right = self.verify_tree_ref_helper(node, node.r, False)
err.log("Left of Root: " + str(left))
err.log("Left of Root: " + str(right))
return left and right
def verify_red_has_black_children_helper(self, node, red_parent):
if node.v is None:
return True
if "color" not in node.cl:
return True
if red_parent and node.cl["color"] is not "BLACK":
err.log("Red Node \w red parent: " + str(node.v))
return False
red_parent = node.cl["color"] is "RED"
left = self.verify_red_has_black_children_helper(node.l, red_parent)
right = self.verify_red_has_black_children_helper(node.r, red_parent)
return left and right
def verify_rb(self):
black_or_red = self.verify_black_or_red()
black_children = self.verify_red_has_black_children()
black_height = self.verify_black_height() is not -1
err.log("Each node is Black or Red: " + str(black_or_red))
err.log("Each Red node has black children: " + str(black_children))
err.log("Black Heights Match: " + str(black_height))
return black_height and black_children and black_or_red
def verify(self, rb=False):
ref = self.verify_tree_ref()
val = self.verify_tree_val()
rbl = self.verify_rb()
err.log("Pointers: " + str(ref))
err.log("Value: " + str(val))
if rbl:
err.log("RedBlack: " + str(rbl))
return ref and val and (rbl or not rb)
def add_plot(fname, cwd, fig, logn, logt, opsn, opst, t_counts, n_counts,
t_pairs, n_pairs, log_marker, xloc, yloc, ax_main, ax_count,
ax_vcount, ax_none, ax_small, xmax, xmin, ymax, ymin, xrng, yrng,
xlist, ylist, roots, graphs, graph_i, debug):
plot_fname = cwd + '/../tmp/' + fname + '_' + str(graph_i) + '.eps'
if graph_i == 0:
pad_xlim = [xmin - 0.05 * xrng, xmax + 0.05 * xrng]
pad_ylim = [ymin - 0.05 * yrng, ymax + 0.05 * yrng]
ylim = [0, ymax]
yloc.view_limits(ymin, ymax)
xloc.view_limits(xmin, xmax)
if debug > 1:
err.log("Created axes")
ax_main.set_xlabel('Element in BST')
ax_main.set_ylabel('Time')
ax_main.spines['top'].set_visible(False)
ax_main.spines['right'].set_visible(False)
ax_main.set_axisbelow(True)
ax_main.set_aspect('auto', adjustable="box-forced")
ax_main.set_xlim(pad_xlim)
ax_main.set_ylim(pad_ylim)
ax_main.yaxis.set_minor_locator(yloc)
ax_main.yaxis.grid(True, which='minor', color=colors.h_light_gray)
ax_main.xaxis.set_minor_locator(xloc)
ax_main.xaxis.grid(True, which='minor', color=colors.h_light_gray)
if debug > 1:
err.log("Set up main plot")
log = ax_main.scatter([-1] + logn, [-1] + logt,
s=1000 / 2 / max(xrng, yrng),
c=[colors.h_light_blue] + [
colors.h_light_blue if roots[logt[i]] != logn[i]
else colors.h_dark_blue
for i in range(0, len(logt))
],
marker=log_marker,
label='Intermediate accesses')
root_log = ax_main.scatter([-1], [-1],
s=1000 / 2 / max(xrng, yrng),
c=colors.h_dark_blue,
marker=log_marker,
label='Root value at this time')
if debug > 1:
err.log("Plotted Xs")
ops = ax_main.scatter(opsn,
opst,
s=1000 / max(xrng, yrng),
c=colors.h_red,
marker="o",
label='Operation arguments')
if debug > 1:
err.log("Plotted Os")
for i, t in enumerate(logt):
if (t, logn[i]) not in t_pairs:
t_pairs.add((t, logn[i]))
t_counts[t - ymin] += 1
if debug > 1:
err.log("Generated y-axis histogram data")
if graph_i == 0:
xlim = [0, xmax]
ax_count.set_xlabel('# Accesses At This Time')
ax_count.spines['top'].set_visible(False)
ax_count.spines['right'].set_visible(False)
ax_count.set_axisbelow(True)
ax_count.set_aspect('auto', adjustable="box-forced")
ax_count.yaxis.set_minor_locator(yloc)
ax_count.yaxis.grid(True, which='minor', color=colors.h_light_gray)
ax_count.set_xlim(xlim)
ax_count.set_ylim(pad_ylim)
ax_count.tick_params(axis='y', which='both', left='off')
ax_count.set_yticklabels([])
ax_count.xaxis.get_major_ticks()[0].label1.set_visible(False)
if debug > 1:
err.log("Set up y-axis histogram axis")
hbar = ax_count.barh(ylist,
t_counts,
min(yrng, 128) / 128,
align='center',
color=colors.h_dark_blue)
if debug > 1:
err.log("Created y-axis histogram bar chart")
for i, n in enumerate(logn):
if (n, logt[i]) not in n_pairs:
n_pairs.add((n, logt[i]))
n_counts[int(n) - xmin] += 1
if debug > 1:
err.log("Generated x-axis histogram data")
if graph_i == 0:
ax_vcount.set_ylabel('# Accesses of This Element')
ax_vcount.spines['right'].set_visible(False)
ax_vcount.spines['top'].set_visible(False)
ax_vcount.set_axisbelow(True)
ax_vcount.set_aspect('auto', adjustable="box-forced")
ax_vcount.xaxis.set_minor_locator(xloc)
ax_vcount.xaxis.grid(True, which='minor', color=colors.h_light_gray)
ax_vcount.set_xlim(pad_xlim)
ax_vcount.set_ylim(ylim)
ax_vcount.yaxis.set_label_position('left')
ax_vcount.yaxis.tick_left()
ax_vcount.tick_params(axis='x', which='both', bottom='off')
ax_vcount.set_xticklabels([])
ax_vcount.yaxis.get_major_ticks()[0].label1.set_visible(False)
sbar = ax_small.barh(ylist,
t_counts,
1,
align='center',
color=colors.h_dark_blue)
if debug > 1:
err.log("Set up x-axis histogram axis")
vbar = ax_vcount.bar(xlist,
n_counts,
min(xrng, 128) / 128,
align='center',
color=colors.h_dark_blue)
if debug > 1:
err.log("Generated y-axis histogram data")
if graph_i == 0:
ax_none.spines['top'].set_visible(False)
ax_none.spines['bottom'].set_visible(False)
ax_none.spines['right'].set_visible(False)
ax_none.spines['left'].set_visible(False)
ax_none.set_xticklabels([])
ax_none.set_yticklabels([])
ax_none.axis('off')
ax_main.legend(loc='lower center', bbox_to_anchor=(1, -0.25), ncol=3)
if debug > 1:
err.log("Set up tree image axis")
if len(graphs) > 0:
graph = graphs[0]
graph.render(cwd + '/../tmp/' + fname + '_' + str(graph_i) + '.gv')
if debug > 0:
err.log("Saving intermediary graphviz EPS file #" + str(graph_i))
if debug > 0:
err.log("Saving intermediary matplotlib EPS file #" + str(graph_i))
plt.savefig(plot_fname, bbox_inches='tight', pad_inches=0.5, format='eps')
ax_small.patches = []
ax_count.patches = []
ax_vcount.patches = []
def plot(logn, logt, opsn, opst, pages, graphs, no_clean, debug):
fname = str(datetime.now()).replace(' ', '_')
plt.rc('font', family='Input Mono')
cwd = sys.path[0]
try:
os.mkdir(cwd + '/../tmp')
if debug > 0:
err.log('../tmp/ directory created for temporary storage.')
except FileExistsError:
if debug > 0:
err.log(
'../tmp/ directory exists; using it for temporary storage.')
new_logn = []
new_logt = []
new_pairs = set()
for i, t in enumerate(logt):
p = (t, logn[i])
if p not in new_pairs:
new_logn.append(logn[i])
new_logt.append(t)
logn = new_logn
logt = new_logt
xmax = int(max(logn))
xmin = int(min(logn))
ymax = int(max(logt))
ymin = int(min(logt))
xrng = max(xmax - xmin, 0)
yrng = max(ymax - ymin, 0)
roots = {}
t_counts = np.zeros(yrng + 1)
n_counts = np.zeros(xrng + 1)
t_pairs = set()
n_pairs = set()
ylist = range(ymin, ymax + 1)
xlist = range(xmin, xmax + 1)
xticker_base = 1.0
if xrng > ticker.MultipleLocator.MAXTICKS - 50:
xticker_base = xrng / ticker.MultipleLocator.MAXTICKS * 1.5
yticker_base = 1.0
if yrng > ticker.MultipleLocator.MAXTICKS - 50:
yticker_base = yrng / ticker.MultipleLocator.MAXTICKS * 1.5
yloc = ticker.MultipleLocator(base=yticker_base)
xloc = ticker.MultipleLocator(base=xticker_base)
fig = plt.figure(figsize=(10, 10))
fontP = FontProperties()
fontP.set_size('small')
gs = gridspec.GridSpec(2, 2)
kx = dict(aspect='auto')
ax_main = plt.subplot(gs[1, 0], **kx)
ax_count = plt.subplot(gs[1, 1], **kx)
ax_vcount = plt.subplot(gs[0, 0], **kx)
ax_none = plt.subplot(gs[0, 1], **kx)
ax_small = plt.axes([0.73, 0.11, 0.17, 0.17])
ax_main.yaxis.set_major_locator(ticker.MaxNLocator(integer=True))
ax_main.xaxis.set_major_locator(ticker.MaxNLocator(integer=True))
ax_count.yaxis.set_major_locator(ticker.MaxNLocator(integer=True))
ax_count.xaxis.set_major_locator(ticker.MaxNLocator(integer=True))
ax_vcount.yaxis.set_major_locator(ticker.MaxNLocator(integer=True))
ax_vcount.xaxis.set_major_locator(ticker.MaxNLocator(integer=True))
plt.xticks([])
plt.yticks([])
ax_small.yaxis.set_minor_locator(yloc)
ax_small.yaxis.grid(True, which='minor', color=colors.h_light_gray)
ax_small.set_axisbelow(True)
gs.update(wspace=0.00, hspace=-0.00)
log_marker = 'x'
if len(opst) > 50:
if debug > 1:
err.log('Input size is ' + str(len(opst)) + ', using marker \'o\'')
log_marker = 'o'
elif debug > 1:
err.log('Input size is ' + str(len(opst)) + ', using marker \'x\'')
if pages:
partial_logn = []
partial_logt = []
partial_opst = []
partial_opsn = []
last_logt_i = 0
logt_i = 0
for i in range(0, len(opst)):
if debug > 1:
err.log("Generating data plot number " + str(i))
partial_opst = [opst[i]]
partial_opsn = [opsn[i]]
op_t = opst[i]
last_logt_i = logt_i + 1
roots = {}
while logt_i + 1 < len(logt) and logt[logt_i + 1] <= op_t:
logt_i += 1
roots[logt[last_logt_i]] = logn[last_logt_i]
partial_logn = []
partial_logt = []
for j in range(last_logt_i, logt_i + 1):
partial_logt.append(logt[j])
partial_logn.append(logn[j])
if debug > 1:
err.log("Starting plot generation")
add_plot(fname, cwd, fig, partial_logn, partial_logt, partial_opsn,
partial_opst, t_counts, n_counts, t_pairs, n_pairs,
log_marker, xloc, yloc, ax_main, ax_count, ax_vcount,
ax_none, ax_small, xmax, xmin, ymax, ymin, xrng, yrng,
xlist, ylist, roots, graphs, i, debug)
if len(graphs) > 0:
del graphs[0]
else:
for i, t in enumerate(logt):
if t not in roots.keys():
roots[t] = logn[i]
add_plot(fname, cwd, fig, logn, logt, opsn, opst, t_counts, n_counts,
t_pairs, n_pairs, log_marker, xloc, yloc, ax_main, ax_count,
ax_vcount, ax_none, ax_small, xmax, xmin, ymax, ymin, xrng,
yrng, xlist, ylist, roots, graphs, 0, debug)
plt.close()
page_list = []
page_size = document.paperformat(200, 200)
num_plots = 1
if pages:
num_plots = len(opsn)
for i in range(0, num_plots):
if debug > 0:
err.log("Concatenating PS pages for plot #" + str(i))
plots_name = cwd + '/../tmp/' + fname + '_' + str(i) + '.eps'
tree_name = cwd + '/../tmp/' + fname + '_' + str(i) + '.gv.eps'
got_tree = True
try:
tree_file = open(tree_name, 'r')
tree_w = 0
tree_h = 0
for line in tree_file:
if line.startswith("%%BoundingBox:"):
bbline = line.split()
tree_w = bbline[3]
tree_h = bbline[4]
if debug > 1:
err.log(
"In EPS #{} got height: {} and width {} from line {}"
.format(i, tree_h, tree_w, line.replace('\n', '')))
break
else:
err.err(
"BoundingBox line not found in EPS file for tree diagram.")
tree_file.close()
except:
got_tree = False
c = canvas.canvas()
plots_file = epsfile.epsfile(0, 0, plots_name, height=160, width=160)
c.insert(plots_file)
if got_tree:
if tree_w > tree_h:
tree_file = epsfile.epsfile(120,
120,
tree_name,
align='cc',
width=70)
else:
tree_file = epsfile.epsfile(120,
120,
tree_name,
align='cc',
height=70)
c.insert(tree_file)
p = document.page(c,
fittosize=True,
centered=True,
paperformat=page_size)
if no_clean:
c.writeEPSfile(cwd + '/../tmp/' + fname + '_' + str(i) +
'.zipped.eps')
page_list.append(p)
d = document.document(page_list)
out_name = cwd + '/../outputs/' + fname + '.ps'
if debug > 0:
err.log("Saving final output " + out_name)
d.writePSfile(out_name)
if not no_clean:
for tmpf in os.listdir(cwd + '/../tmp/'):
os.remove(cwd + '/../tmp/' + tmpf)
os.rmdir(cwd + '/../tmp/')
def exec_ops(self, algo, pages, gen_graphs, no_clean, debug):
logt = []
logn = []
opst = []
opsn = []
graphs = []
api = API(logn, logt, gen_graphs, graphs, debug)
if algo == 'simple':
tree = SimpleBST(api)
elif algo == 'rb':
tree = RedBlackBST(api)
elif algo == 'splay':
tree = SplayBST(api)
elif algo == 'avl':
err.err("Algorithm not yet implemented")
elif algo == 'wavl':
err.err("Algorithm not yet implemented")
elif algo == 'tango':
err.err("Algorithm not yet implemented")
elif algo == 'static':
err.err("Algorithm not yet implemented")
time = 1
for op in self.ops:
if debug > 2:
tree_str = str(tree)
if debug > 1:
err.log("operation #" + str(time) + ": " + str(op))
api.reset()
if op.op == 'ins':
opst.append(time)
opsn.append(op.arg)
api.set_time(time)
api.set_log_on()
tree.insert(op.arg)
api.set_log_off()
time += 1
elif op.op == 'sea':
opst.append(time)
opsn.append(op.arg)
api.set_time(time)
api.set_log_on()
tree.search(op.arg)
api.set_log_off()
time += 1
elif op.op == 'del':
opst.append(time)
opsn.append(op.arg)
api.set_time(time)
api.set_log_on()
tree.delete(op.arg)
api.set_log_off()
time += 1
if debug == 2:
err.warn(tree)
if debug > 2:
err.log("Before op, tree was:")
err.warn(tree_str)
err.log("After op, tree is:")
err.warn(tree)
err.warn("Beginning tree verification:")
if tree.verify_tree():
err.warn("Verified")
else:
err.err("Issue found when verifying tree!")
if gen_graphs and pages:
api.viz()
if gen_graphs and not pages:
api.viz()
if debug == 1 and len(self.ops) < 50:
err.warn(tree)
plot.plot(logn, logt, opsn, opst, pages, graphs, no_clean, debug)
