def test_chisquare_power():
from .results.results_power import pwr_chisquare
for case in itervalues(pwr_chisquare):
power = chisquare_power(case.w, case.N, case.df + 1,
alpha=case.sig_level)
assert_almost_equal(power, case.power, decimal=6,
err_msg=repr(vars(case)))
def add_dict(self, d, ncols=2, align='l', float_format="%.4f"):
'''Add the contents of a Dict to summary table
Parameters
----------
d : dict
Keys and values are automatically coerced to strings with str().
Users are encouraged to format them before using add_dict.
ncols: int
Number of columns of the output table
align : str
Data alignment (l/c/r)
'''
keys = [_formatter(x, float_format) for x in iterkeys(d)]
vals = [_formatter(x, float_format) for x in itervalues(d)]
data = np.array(lzip(keys, vals))
if data.shape[0] % ncols != 0:
pad = ncols - (data.shape[0] % ncols)
data = np.vstack([data, np.array(pad * [['', '']])])
data = np.split(data, ncols)
data = reduce(lambda x, y: np.hstack([x, y]), data)
self.add_array(data, align=align)
def add_dict(self, d, ncols=2, align='l', float_format="%.4f"):
'''Add the contents of a Dict to summary table
Parameters
----------
d : dict
Keys and values are automatically coerced to strings with str().
Users are encouraged to format them before using add_dict.
ncols: int
Number of columns of the output table
align : string
Data alignment (l/c/r)
'''
keys = [_formatter(x, float_format) for x in iterkeys(d)]
vals = [_formatter(x, float_format) for x in itervalues(d)]
data = np.array(lzip(keys, vals))
if data.shape[0] % ncols != 0:
pad = ncols - (data.shape[0] % ncols)
data = np.vstack([data, np.array(pad * [['', '']])])
data = np.split(data, ncols)
data = reduce(lambda x, y: np.hstack([x, y]), data)
self.add_array(data, align=align)
def test_chisquare_power():
from .results.results_power import pwr_chisquare
for case in itervalues(pwr_chisquare):
power = chisquare_power(
case.w, case.N, case.df + 1, alpha=case.sig_level)
assert_almost_equal(
power, case.power, decimal=6, err_msg=repr(vars(case)))
def interactions(terms, order=[1, 2]):
"""
Output all pairwise interactions of given order of a
sequence of terms.
The argument order is a sequence specifying which order
of interactions should be generated -- the default
creates main effects and two-way interactions. If order
is an integer, it is changed to range(1,order+1), so
order=3 is equivalent to order=[1,2,3], generating
all one, two and three-way interactions.
If any entry of order is greater than len(terms), it is
effectively treated as len(terms).
>>> print interactions([Term(l) for l in ['a', 'b', 'c']])
<formula: a*b + a*c + b*c + a + b + c>
>>>
>>> print interactions([Term(l) for l in ['a', 'b', 'c']], order=list(range(5)))
<formula: a*b + a*b*c + a*c + b*c + a + b + c>
>>>
"""
n_terms = len(terms)
values = {}
if np.asarray(order).shape == ():
order = lrange(1, int(order) + 1)
# First order
for o in order:
indices = np.indices((n_terms, ) * (o))
indices.shape = (indices.shape[0], np.product(indices.shape[1:]))
for m in range(indices.shape[1]):
# only keep combinations that have unique entries
if (np.unique(indices[:, m]).shape == indices[:, m].shape
and np.alltrue(
np.equal(np.sort(indices[:, m]), indices[:, m]))):
ll = [terms[j] for j in indices[:, m]]
v = ll[0]
for ii in range(len(ll) - 1):
v *= ll[ii + 1]
values[tuple(indices[:, m])] = v
key = list(iterkeys(values))[0]
value = values[key]
del (values[key])
for v in itervalues(values):
value += v
return value
def interactions(terms, order=[1,2]):
"""
Output all pairwise interactions of given order of a
sequence of terms.
The argument order is a sequence specifying which order
of interactions should be generated -- the default
creates main effects and two-way interactions. If order
is an integer, it is changed to range(1,order+1), so
order=3 is equivalent to order=[1,2,3], generating
all one, two and three-way interactions.
If any entry of order is greater than len(terms), it is
effectively treated as len(terms).
>>> print interactions([Term(l) for l in ['a', 'b', 'c']])
<formula: a*b + a*c + b*c + a + b + c>
>>>
>>> print interactions([Term(l) for l in ['a', 'b', 'c']], order=list(range(5)))
<formula: a*b + a*b*c + a*c + b*c + a + b + c>
>>>
"""
l = len(terms)
values = {}
if np.asarray(order).shape == ():
order = lrange(1, int(order)+1)
# First order
for o in order:
I = np.indices((l,)*(o))
I.shape = (I.shape[0], np.product(I.shape[1:]))
for m in range(I.shape[1]):
# only keep combinations that have unique entries
if (np.unique(I[:,m]).shape == I[:,m].shape and
np.alltrue(np.equal(np.sort(I[:,m]), I[:,m]))):
ll = [terms[j] for j in I[:,m]]
v = ll[0]
for ii in range(len(ll)-1):
v *= ll[ii+1]
values[tuple(I[:,m])] = v
key = list(iterkeys(values))[0]
value = values[key]
del(values[key])
for v in itervalues(values):
value += v
return value
def termcolumns(self, query_term, dict=False):
"""
Return a list of the indices of all columns associated
to a given term.
"""
if self.hasterm(query_term):
names = query_term.names()
value = OrderedDict()
for name in names:
value[name] = self._names.index(name)
else:
raise ValueError('term not in formula')
if dict:
return value
else:
return list(itervalues(value))
def termcolumns(self, query_term, dict=False):
"""
Return a list of the indices of all columns associated
to a given term.
"""
if self.hasterm(query_term):
names = query_term.names()
value = OrderedDict()
for name in names:
value[name] = self._names.index(name)
else:
raise ValueError('term not in formula')
if dict:
return value
else:
return list(itervalues(value))
def update(self, params):
"""
Update the global odds ratio based on the current value of
params.
"""
endog = self.model.endog_li
cpp = self.cpp
cached_means = self.model.cached_means
# This will happen if all the clusters have only
# one observation
if len(cpp[0]) == 0:
return
tables = {}
for ii in cpp[0]:
tables[ii] = np.zeros((2, 2), dtype=np.float64)
for i in range(self.model.num_group):
endog_expval, _ = cached_means[i]
emat_11 = self.get_eyy(endog_expval, i)
emat_10 = endog_expval[:, None] - emat_11
emat_01 = -emat_11 + endog_expval
emat_00 = 1. - (emat_11 + emat_10 + emat_01)
cpp1 = cpp[i]
for ky in iterkeys(cpp1):
ix = cpp1[ky]
tables[ky][1, 1] += emat_11[ix[:, 0], ix[:, 1]].sum()
tables[ky][1, 0] += emat_10[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 1] += emat_01[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 0] += emat_00[ix[:, 0], ix[:, 1]].sum()
cor_expval = self.pooled_odds_ratio(list(itervalues(tables)))
self.dep_params *= self.crude_or / cor_expval
if not np.isfinite(self.dep_params):
self.dep_params = 1.
warnings.warn("dep_params became inf, resetting to 1",
ConvergenceWarning)
def update(self, params):
"""
Update the global odds ratio based on the current value of
params.
"""
endog = self.model.endog_li
cpp = self.cpp
cached_means = self.model.cached_means
# This will happen if all the clusters have only
# one observation
if len(cpp[0]) == 0:
return
tables = {}
for ii in cpp[0]:
tables[ii] = np.zeros((2, 2), dtype=np.float64)
for i in range(self.model.num_group):
endog_expval, _ = cached_means[i]
emat_11 = self.get_eyy(endog_expval, i)
emat_10 = endog_expval[:, None] - emat_11
emat_01 = -emat_11 + endog_expval
emat_00 = 1. - (emat_11 + emat_10 + emat_01)
cpp1 = cpp[i]
for ky in iterkeys(cpp1):
ix = cpp1[ky]
tables[ky][1, 1] += emat_11[ix[:, 0], ix[:, 1]].sum()
tables[ky][1, 0] += emat_10[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 1] += emat_01[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 0] += emat_00[ix[:, 0], ix[:, 1]].sum()
cor_expval = self.pooled_odds_ratio(list(itervalues(tables)))
self.dep_params *= self.crude_or / cor_expval
if not np.isfinite(self.dep_params):
self.dep_params = 1.
warnings.warn("dep_params became inf, resetting to 1",
ConvergenceWarning)
def _statistical_coloring(data):
"""evaluate colors from the indipendence properties of the matrix
It will encounter problem if one category has all zeros
"""
data = _normalize_data(data, None)
categories_levels = _categories_level(list(iterkeys(data)))
Nlevels = len(categories_levels)
total = 1.0 * sum(v for v in itervalues(data))
# count the proportion of observation
# for each level that has the given name
# at each level
levels_count = []
for level_idx in range(Nlevels):
proportion = {}
for level in categories_levels[level_idx]:
proportion[level] = 0.0
for key, value in iteritems(data):
if level == key[level_idx]:
proportion[level] += value
proportion[level] /= total
levels_count.append(proportion)
# for each key I obtain the expected value
# and it's standard deviation from a binomial distribution
# under the hipothesys of independence
expected = {}
for key, value in iteritems(data):
base = 1.0
for i, k in enumerate(key):
base *= levels_count[i][k]
expected[key] = base * total, np.sqrt(total * base * (1.0 - base))
# now we have the standard deviation of distance from the
# expected value for each tile. We create the colors from this
sigmas = dict((k, (data[k] - m) / s) for k, (m, s) in iteritems(expected))
props = {}
for key, dev in iteritems(sigmas):
red = 0.0 if dev < 0 else (dev / (1 + dev))
blue = 0.0 if dev > 0 else (dev / (-1 + dev))
green = (1.0 - red - blue) / 2.0
hatch = 'x' if dev > 2 else 'o' if dev < -2 else ''
props[key] = {'color': [red, green, blue], 'hatch': hatch}
return props
def _statistical_coloring(data):
"""evaluate colors from the indipendence properties of the matrix
It will encounter problem if one category has all zeros
"""
data = _normalize_data(data, None)
categories_levels = _categories_level(list(iterkeys(data)))
Nlevels = len(categories_levels)
total = 1.0 * sum(v for v in itervalues(data))
# count the proportion of observation
# for each level that has the given name
# at each level
levels_count = []
for level_idx in range(Nlevels):
proportion = {}
for level in categories_levels[level_idx]:
proportion[level] = 0.0
for key, value in iteritems(data):
if level == key[level_idx]:
proportion[level] += value
proportion[level] /= total
levels_count.append(proportion)
# for each key I obtain the expected value
# and it's standard deviation from a binomial distribution
# under the hipothesys of independence
expected = {}
for key, value in iteritems(data):
base = 1.0
for i, k in enumerate(key):
base *= levels_count[i][k]
expected[key] = base * total, np.sqrt(total * base * (1.0 - base))
# now we have the standard deviation of distance from the
# expected value for each tile. We create the colors from this
sigmas = dict((k, (data[k] - m) / s) for k, (m, s) in iteritems(expected))
props = {}
for key, dev in iteritems(sigmas):
red = 0.0 if dev < 0 else (dev / (1 + dev))
blue = 0.0 if dev > 0 else (dev / (-1 + dev))
green = (1.0 - red - blue) / 2.0
hatch = 'x' if dev > 2 else 'o' if dev < -2 else ''
props[key] = {'color': [red, green, blue], 'hatch': hatch}
return props
def observed_crude_oddsratio(self):
"""The crude odds ratio is obtained by pooling all data
corresponding to a given pair of cut points (c,c'), then
forming the inverse variance weighted average of these odds
ratios to obtain a single OR. Since the covariate effects are
ignored, this OR will generally be greater than the stratified
OR.
"""
cpp = self.cpp
endog = self.model.endog_li
# Storage for the contingency tables for each (c,c')
tables = {}
for ii in iterkeys(cpp[0]):
tables[ii] = np.zeros((2, 2), dtype=np.float64)
# Get the observed crude OR
for i in range(len(endog)):
if len(endog[i]) == 0:
continue
# The observed joint values for the current cluster
yvec = endog[i]
endog_11 = np.outer(yvec, yvec)
endog_10 = np.outer(yvec, 1 - yvec)
endog_01 = np.outer(1 - yvec, yvec)
endog_00 = np.outer(1 - yvec, 1 - yvec)
cpp1 = cpp[i]
for ky in iterkeys(cpp1):
ix = cpp1[ky]
tables[ky][1, 1] += endog_11[ix[:, 0], ix[:, 1]].sum()
tables[ky][1, 0] += endog_10[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 1] += endog_01[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 0] += endog_00[ix[:, 0], ix[:, 1]].sum()
return self.pooled_odds_ratio(list(itervalues(tables)))
def __init__(self, endog, exog, tree, paramsind):
self.endog = endog
self.datadict = exog
self.tree = tree
self.paramsind = paramsind
self.branchsum = ''
self.probs = {}
self.probstxt = {}
self.branchleaves = {}
self.branchvalues = {} #just to keep track of returns by branches
self.branchsums = {}
self.bprobs = {}
self.branches, self.leaves, self.branches_degenerate = getnodes(tree)
self.nbranches = len(self.branches)
#copied over but not quite sure yet
#unique, parameter array names,
#sorted alphabetically, order is/should be only internal
self.paramsnames = (
sorted(set([i for j in itervalues(paramsind) for i in j])) +
['tau_%s' % bname for bname in self.branches])
self.nparams = len(self.paramsnames)
#mapping coefficient names to indices to unique/parameter array
self.paramsidx = dict(
(name, idx) for (idx, name) in enumerate(self.paramsnames))
#mapping branch and leaf names to index in parameter array
self.parinddict = dict((k, [self.paramsidx[j] for j in v])
for k, v in iteritems(self.paramsind))
self.recursionparams = 1. + np.arange(len(self.paramsnames))
#for testing that individual parameters are used in the right place
self.recursionparams = np.zeros(len(self.paramsnames))
#self.recursionparams[2] = 1
self.recursionparams[-self.nbranches:] = 1 #values for tau's
def __init__(self, endog, exog, tree, paramsind):
self.endog = endog
self.datadict = exog
self.tree = tree
self.paramsind = paramsind
self.branchsum = ''
self.probs = {}
self.probstxt = {}
self.branchleaves = {}
self.branchvalues = {} #just to keep track of returns by branches
self.branchsums = {}
self.bprobs = {}
self.branches, self.leaves, self.branches_degenerate = getnodes(tree)
self.nbranches = len(self.branches)
#copied over but not quite sure yet
#unique, parameter array names,
#sorted alphabetically, order is/should be only internal
self.paramsnames = (sorted(set([i for j in itervalues(paramsind)
for i in j])) +
['tau_%s' % bname for bname in self.branches])
self.nparams = len(self.paramsnames)
#mapping coefficient names to indices to unique/parameter array
self.paramsidx = dict((name, idx) for (idx,name) in
enumerate(self.paramsnames))
#mapping branch and leaf names to index in parameter array
self.parinddict = dict((k, [self.paramsidx[j] for j in v])
for k,v in iteritems(self.paramsind))
self.recursionparams = 1. + np.arange(len(self.paramsnames))
#for testing that individual parameters are used in the right place
self.recursionparams = np.zeros(len(self.paramsnames))
#self.recursionparams[2] = 1
self.recursionparams[-self.nbranches:] = 1 #values for tau's
def observed_crude_oddsratio(self):
"""The crude odds ratio is obtained by pooling all data
corresponding to a given pair of cut points (c,c'), then
forming the inverse variance weighted average of these odds
ratios to obtain a single OR. Since the covariate effects are
ignored, this OR will generally be greater than the stratified
OR.
"""
cpp = self.cpp
endog = self.model.endog_li
# Storage for the contingency tables for each (c,c')
tables = {}
for ii in iterkeys(cpp[0]):
tables[ii] = np.zeros((2, 2), dtype=np.float64)
# Get the observed crude OR
for i in range(len(endog)):
if len(endog[i]) == 0:
continue
# The observed joint values for the current cluster
yvec = endog[i]
endog_11 = np.outer(yvec, yvec)
endog_10 = np.outer(yvec, 1 - yvec)
endog_01 = np.outer(1 - yvec, yvec)
endog_00 = np.outer(1 - yvec, 1 - yvec)
cpp1 = cpp[i]
for ky in iterkeys(cpp1):
ix = cpp1[ky]
tables[ky][1, 1] += endog_11[ix[:, 0], ix[:, 1]].sum()
tables[ky][1, 0] += endog_10[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 1] += endog_01[ix[:, 0], ix[:, 1]].sum()
tables[ky][0, 0] += endog_00[ix[:, 0], ix[:, 1]].sum()
return self.pooled_odds_ratio(list(itervalues(tables)))
def _create_labels(rects, horizontal, ax, rotation):
"""find the position of the label for each value of each category
right now it supports only up to the four categories
ax: the axis on which the label should be applied
rotation: the rotation list for each side
"""
categories = _categories_level(list(iterkeys(rects)))
if len(categories) > 4:
msg = ("maximum of 4 level supported for axes labeling... and 4"
"is already a lot of levels, are you sure you need them all?")
raise ValueError(msg)
labels = {}
#keep it fixed as will be used a lot of times
items = list(iteritems(rects))
vertical = not horizontal
#get the axis ticks and labels locator to put the correct values!
ax2 = ax.twinx()
ax3 = ax.twiny()
#this is the order of execution for horizontal disposition
ticks_pos = [ax.set_xticks, ax.set_yticks, ax3.set_xticks, ax2.set_yticks]
ticks_lab = [
ax.set_xticklabels, ax.set_yticklabels, ax3.set_xticklabels,
ax2.set_yticklabels
]
#for the vertical one, rotate it by one
if vertical:
ticks_pos = ticks_pos[1:] + ticks_pos[:1]
ticks_lab = ticks_lab[1:] + ticks_lab[:1]
#clean them
for pos, lab in zip(ticks_pos, ticks_lab):
pos([])
lab([])
#for each level, for each value in the level, take the mean of all
#the sublevel that correspond to that partial key
for level_idx, level in enumerate(categories):
#this dictionary keep the labels only for this level
level_ticks = dict()
for value in level:
#to which level it should refer to get the preceding
#values of labels? it's rather a tricky question...
#this is dependent on the side. It's a very crude management
#but I couldn't think a more general way...
if horizontal:
if level_idx == 3:
index_select = [-1, -1, -1]
else:
index_select = [+0, -1, -1]
else:
if level_idx == 3:
index_select = [+0, -1, +0]
else:
index_select = [-1, -1, -1]
#now I create the base key name and append the current value
#It will search on all the rects to find the corresponding one
#and use them to evaluate the mean position
basekey = tuple(categories[i][index_select[i]]
for i in range(level_idx))
basekey = basekey + (value, )
subset = dict(
(k, v) for k, v in items if basekey == k[:level_idx + 1])
#now I extract the center of all the tiles and make a weighted
#mean of all these center on the area of the tile
#this should give me the (more or less) correct position
#of the center of the category
vals = list(itervalues(subset))
W = sum(w * h for (x, y, w, h) in vals)
x_lab = sum(_get_position(x, w, h, W) for (x, y, w, h) in vals)
y_lab = sum(_get_position(y, h, w, W) for (x, y, w, h) in vals)
#now base on the ordering, select which position to keep
#needs to be written in a more general form of 4 level are enough?
#should give also the horizontal and vertical alignment
side = (level_idx + vertical) % 4
level_ticks[value] = y_lab if side % 2 else x_lab
#now we add the labels of this level to the correct axis
ticks_pos[level_idx](list(itervalues(level_ticks)))
ticks_lab[level_idx](list(iterkeys(level_ticks)),
rotation=rotation[level_idx])
return labels
'h': 7,
'top': 1000}
'''
modru2 = RU2NMNL(endog, datadict2, tree2, paramsind2)
modru2.recursionparams[-3] = 2
modru2.recursionparams[3] = 1
print('\n\nExample 2')
print('---------\n')
print(modru2.calc_prob(modru2.tree))
print('Tree')
pprint(modru2.tree)
print('\nmodru.probs')
pprint(modru2.probs)
print('sum of probs', sum(list(itervalues(modru2.probs))))
print('branchvalues')
print(modru2.branchvalues)
print(modru.branchvalues)
print('branch probabilities')
print(modru.bprobs)
print('degenerate branches')
print(modru.branches_degenerate)
'''
>>> modru.bprobs
{'Fly': [], 'top': [0.0016714179077931082, 0.99832858209220687], 'Ground': []}
>>> modru2.bprobs
{'top': [0.25000000000000006, 0.62499999999999989, 0.12500000000000003], 'B22': [], 'B21': [], 'B1': [], 'B2': [0.40000000000000008, 0.59999999999999998], 'B3': []}
'''
'''
modru2 = RU2NMNL(endog, datadict2, tree2, paramsind2)
modru2.recursionparams[-3] = 2
modru2.recursionparams[3] = 1
print('\n\nExample 2')
print('---------\n')
print(modru2.calc_prob(modru2.tree))
print('Tree')
pprint(modru2.tree)
print('\nmodru.probs')
pprint(modru2.probs)
print('sum of probs', sum(list(itervalues(modru2.probs))))
print('branchvalues')
print(modru2.branchvalues)
print(modru.branchvalues)
print('branch probabilities')
print(modru.bprobs)
print('degenerate branches')
print(modru.branches_degenerate)
'''
>>> modru.bprobs
{'Fly': [], 'top': [0.0016714179077931082, 0.99832858209220687], 'Ground': []}
>>> modru2.bprobs
{'top': [0.25000000000000006, 0.62499999999999989, 0.12500000000000003], 'B22': [], 'B21': [], 'B1': [], 'B2': [0.40000000000000008, 0.59999999999999998], 'B3': []}
"B21": [],
"c": ["consta", "p", "time"],
"d": ["consta", "p", "time"],
"B22": ["x22"],
"e": ["conste", "p", "hince"],
"f": ["constt", "p", "hincf"],
"g": ["p", "hincg"],
"B3": [],
"h": ["consth", "p", "h"],
"top": [],
}
# unique, parameter array names,
# sorted alphabetically, order is/should be only internal
paramsnames = sorted(set([i for j in itervalues(paramsind) for i in j]))
# mapping coefficient names to indices to unique/parameter array
paramsidx = dict((name, idx) for (idx, name) in enumerate(paramsnames))
# mapping branch and leaf names to index in parameter array
inddict = dict((k, [paramsidx[j] for j in v]) for k, v in iteritems(paramsind))
"""
>>> paramsnames
['const2', 'consta', 'constb', 'conste', 'consth', 'constt', 'h', 'hince',
'hincf', 'hincg', 'p', 'time', 'x2', 'x22']
>>> parmasidx
{'conste': 3, 'consta': 1, 'constb': 2, 'h': 6, 'time': 11, 'consth': 4,
'p': 10, 'constt': 5, 'const2': 0, 'x2': 12, 'x22': 13, 'hince': 7,
'hincg': 9, 'hincf': 8}
'B21': [],
'c': ['consta', 'p', 'time'],
'd': ['consta', 'p', 'time'],
'B22': ['x22'],
'e': ['conste', 'p', 'hince'],
'f': ['constt', 'p', 'hincf'],
'g': ['p', 'hincg'],
'B3': [],
'h': ['consth', 'p', 'h'],
'top': []
}
#unique, parameter array names,
#sorted alphabetically, order is/should be only internal
paramsnames = sorted(set([i for j in itervalues(paramsind) for i in j]))
#mapping coefficient names to indices to unique/parameter array
paramsidx = dict((name, idx) for (idx, name) in enumerate(paramsnames))
#mapping branch and leaf names to index in parameter array
inddict = dict((k, [paramsidx[j] for j in v]) for k, v in iteritems(paramsind))
'''
>>> paramsnames
['const2', 'consta', 'constb', 'conste', 'consth', 'constt', 'h', 'hince',
'hincf', 'hincg', 'p', 'time', 'x2', 'x22']
>>> parmasidx
{'conste': 3, 'consta': 1, 'constb': 2, 'h': 6, 'time': 11, 'consth': 4,
'p': 10, 'constt': 5, 'const2': 0, 'x2': 12, 'x22': 13, 'hince': 7,
'hincg': 9, 'hincf': 8}
>>> inddict
def _create_labels(rects, horizontal, ax, rotation):
"""find the position of the label for each value of each category
right now it supports only up to the four categories
ax: the axis on which the label should be applied
rotation: the rotation list for each side
"""
categories = _categories_level(list(iterkeys(rects)))
if len(categories) > 4:
msg = ("maximum of 4 level supported for axes labeling..and 4"
"is alreay a lot of level, are you sure you need them all?")
raise NotImplementedError(msg)
labels = {}
#keep it fixed as will be used a lot of times
items = list(iteritems(rects))
vertical = not horizontal
#get the axis ticks and labels locator to put the correct values!
ax2 = ax.twinx()
ax3 = ax.twiny()
#this is the order of execution for horizontal disposition
ticks_pos = [ax.set_xticks, ax.set_yticks, ax3.set_xticks, ax2.set_yticks]
ticks_lab = [ax.set_xticklabels, ax.set_yticklabels,
ax3.set_xticklabels, ax2.set_yticklabels]
#for the vertical one, rotate it by one
if vertical:
ticks_pos = ticks_pos[1:] + ticks_pos[:1]
ticks_lab = ticks_lab[1:] + ticks_lab[:1]
#clean them
for pos, lab in zip(ticks_pos, ticks_lab):
pos([])
lab([])
#for each level, for each value in the level, take the mean of all
#the sublevel that correspond to that partial key
for level_idx, level in enumerate(categories):
#this dictionary keep the labels only for this level
level_ticks = dict()
for value in level:
#to which level it should refer to get the preceding
#values of labels? it's rather a tricky question...
#this is dependent on the side. It's a very crude management
#but I couldn't think a more general way...
if horizontal:
if level_idx == 3:
index_select = [-1, -1, -1]
else:
index_select = [+0, -1, -1]
else:
if level_idx == 3:
index_select = [+0, -1, +0]
else:
index_select = [-1, -1, -1]
#now I create the base key name and append the current value
#It will search on all the rects to find the corresponding one
#and use them to evaluate the mean position
basekey = tuple(categories[i][index_select[i]]
for i in range(level_idx))
basekey = basekey + (value,)
subset = dict((k, v) for k, v in items
if basekey == k[:level_idx + 1])
#now I extract the center of all the tiles and make a weighted
#mean of all these center on the area of the tile
#this should give me the (more or less) correct position
#of the center of the category
vals = list(itervalues(subset))
W = sum(w * h for (x, y, w, h) in vals)
x_lab = sum(_get_position(x, w, h, W) for (x, y, w, h) in vals)
y_lab = sum(_get_position(y, h, w, W) for (x, y, w, h) in vals)
#now base on the ordering, select which position to keep
#needs to be written in a more general form of 4 level are enough?
#should give also the horizontal and vertical alignment
side = (level_idx + vertical) % 4
level_ticks[value] = y_lab if side % 2 else x_lab
#now we add the labels of this level to the correct axis
ticks_pos[level_idx](list(itervalues(level_ticks)))
ticks_lab[level_idx](list(iterkeys(level_ticks)),
rotation=rotation[level_idx])
return labels