import numpy
+from . import log
+
+
+_multiprocess_can_split_ = True
+"""Allow nosetests to split tests between processes.
+"""
+
class Histogram (object):
"""A histogram with a flexible comparison method, `residual()`.
>>> h = Histogram()
"""
+ def __init__(self):
+ self.headings = None
+
def calculate_bin_edges(self, data, bin_width):
"""
>>> h = Histogram()
All bins should be of equal width (so we can calculate which
bin a data point belongs to).
-
- `data` should be a numpy array.
"""
- self.bin_edges = bin_edges
+ data = numpy.array(data)
+ self.bin_edges = numpy.array(bin_edges)
bin_width = self.bin_edges[1] - self.bin_edges[0]
bin_is = numpy.floor((data - self.bin_edges[0])/bin_width)
- self.counts = []
- for i in range(len(self.bin_edges)-1):
- self.counts.append(sum(bin_is == i))
+ self.counts = numpy.zeros((len(self.bin_edges)-1,), dtype=numpy.int)
+ for i in range(len(self.counts)):
+ self.counts[i] = (bin_is == i).sum()
+ self.counts = numpy.array(self.counts)
self.total = float(len(data)) # some data might be outside the bins
self.mean = data.mean()
self.std_dev = data.std()
<bin_edge><whitespace><count>
...
- For example:
-
-
`<bin_edge>` should mark the left-hand side of the bin, and
all bins should be of equal width (so we know where the last
one ends).
>>> import StringIO
>>> h = Histogram()
- >>> h.from_stream(StringIO.StringIO('''# Force (N)\tUnfolding events
- ... 150e-12\t10
- ... 200e-12\t40
- ... 250e-12\t5
+ >>> h.from_stream(StringIO.StringIO('''# Force (N)\\tUnfolding events
+ ... 150e-12\\t10
+ ... 200e-12\\t40
+ ... 250e-12\\t5
... '''))
+ >>> h.headings
+ ['Force (N)', 'Unfolding events']
>>> h.total
55.0
>>> h.counts
[10.0, 40.0, 5.0]
>>> h.bin_edges # doctest: +ELLIPSIS
- [1.5e-10, 2.000...e-10, 2.500...e-10, 3e-10]
+ [1.5e-10, 2...e-10, 2.5...e-10, 3e-10]
>>> h.probabilities # doctest: +ELLIPSIS
[0.181..., 0.727..., 0.0909...]
"""
+ self.headings = None
self.bin_edges = []
self.counts = []
for line in stream.readlines():
line = line.strip()
- if len(line) == 0 or line[0] == "#":
+ if len(line) == 0 or line.startswith('#'):
+ if self.headings == None and line.startswith('#'):
+ line = line[len('#'):]
+ self.headings = [x.strip() for x in line.split('\t')]
continue # ignore blank lines and comments
- bin_edge,count = line.split()
+ try:
+ bin_edge,count = line.split()
+ except ValueError:
+ log().error('Unable to parse histogram line: "%s"' % line)
+ raise
self.bin_edges.append(float(bin_edge))
self.counts.append(float(count))
bin_width = self.bin_edges[1] - self.bin_edges[0]
self.bin_edges.append(self.bin_edges[-1]+bin_width)
+ self.analyze()
+
+ def to_stream(self, stream):
+ """Write to `stream` with the same format as `from_stream()`.
+
+ >>> import sys
+ >>> h = Histogram()
+ >>> h.headings = ['Force (N)', 'Unfolding events']
+ >>> h.bin_edges = [1.5e-10, 2e-10, 2.5e-10, 3e-10]
+ >>> h.counts = [10, 40, 5]
+ >>> h.to_stream(sys.stdout)
+ ... # doctest: +NORMALIZE_WHITESPACE, +REPORT_UDIFF
+ #Force (N)\tUnfolding events
+ 1.5e-10\t10
+ 2e-10\t40
+ 2.5e-10\t5
+ """
+ if self.headings != None:
+ stream.write('#%s\n' % '\t'.join(self.headings))
+ for bin,count in zip(self.bin_edges, self.counts):
+ stream.write('%g\t%g\n' % (bin, count))
+
+ def analyze(self):
+ """Analyze `.counts` and `.bin_edges` if the raw data is missing.
+
+ Generate `.total`, `.mean`, and `.std_dev`, and run
+ `.normalize()`.
+ """
+ bin_width = self.bin_edges[1] - self.bin_edges[0]
self.total = float(sum(self.counts))
self.mean = 0
for bin,count in zip(self.bin_edges, self.counts):
self.normalize()
def normalize(self):
+ """Generate `.probabilities` from `.total` and `.counts`.
+ """
self.total = float(self.total)
self.probabilities = [count/self.total for count in self.counts]
return abs(other.std_dev - self.std_dev)
def chi_squared_residual(self, other):
- assert self.bin_edges == other.bin_edges
+ assert (self.bin_edges == other.bin_edges).all()
residual = 0
for probA,probB in zip(self.probabilities, other.probabilities):
residual += (probA-probB)**2 / probB
return residual
def jensen_shannon_residual(self, other):
- assert self.bin_edges == other.bin_edges
+ assert (self.bin_edges == other.bin_edges).all()
def d_KL_term(p,q):
"""
Kullback-Leibler divergence for a single bin, with the