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Ingy döt Net
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from itertools import zip_longest
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fc2 = '''\
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cleaning,,
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house1,40,
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bedrooms,,.25
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bathrooms,,
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bathroom1,,.5
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bathroom2,,
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outside_lavatory,,1
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attic,,.75
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kitchen,,.1
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living_rooms,,
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lounge,,
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dining_room,,
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conservatory,,
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playroom,,1
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basement,,
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garage,,
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garden,,.8
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house2,60,
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upstairs,,
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bedrooms,,
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suite_1,,
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suite_2,,
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bedroom_3,,
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bedroom_4,,
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bathroom,,
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toilet,,
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attics,,.6
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groundfloor,,
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kitchen,,
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living_rooms,,
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lounge,,
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dining_room,,
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conservatory,,
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playroom,,
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wet_room_&_toilet,,
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garage,,
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garden,,.9
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hot_tub_suite,,1
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basement,,
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cellars,,1
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wine_cellar,,1
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cinema,,.75
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'''
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NAME, WT, COV = 0, 1, 2
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def right_type(txt):
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try:
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return float(txt)
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except ValueError:
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return txt
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def commas_to_list(the_list, lines, start_indent=0):
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'''
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Output format is a nest of lists and tuples
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lists are for coverage leaves without children items in the list are name, weight, coverage
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tuples are 2-tuples for nodes with children. The first element is a list representing the
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name, weight, coverage of the node (some to be calculated); the second element is a list of
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child elements which may be 2-tuples or lists as above.
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the_list is modified in-place
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lines must be a generator of successive lines of input like fc2
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'''
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for n, line in lines:
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indent = 0
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while line.startswith(' ' * (4 * indent)):
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indent += 1
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indent -= 1
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fields = [right_type(f) for f in line.strip().split(',')]
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if indent == start_indent:
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the_list.append(fields)
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elif indent > start_indent:
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lst = [fields]
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sub = commas_to_list(lst, lines, indent)
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the_list[-1] = (the_list[-1], lst)
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if sub not in (None, ['']) :
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the_list.append(sub)
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else:
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return fields if fields else None
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return None
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def pptreefields(lst, indent=0, widths=['%-32s', '%-8g', '%-10g']):
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'''
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Pretty prints the format described from function commas_to_list as a table with
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names in the first column suitably indented and all columns having a fixed
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minimum column width.
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'''
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lhs = ' ' * (4 * indent)
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for item in lst:
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if type(item) != tuple:
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name, *rest = item
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print(widths[0] % (lhs + name), end='|')
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for width, item in zip_longest(widths[1:len(rest)], rest, fillvalue=widths[-1]):
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if type(item) == str:
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width = width[:-1] + 's'
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print(width % item, end='|')
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print()
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else:
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item, children = item
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name, *rest = item
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print(widths[0] % (lhs + name), end='|')
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for width, item in zip_longest(widths[1:len(rest)], rest, fillvalue=widths[-1]):
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if type(item) == str:
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width = width[:-1] + 's'
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print(width % item, end='|')
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print()
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pptreefields(children, indent+1)
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def default_field(node_list):
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node_list[WT] = node_list[WT] if node_list[WT] else 1.0
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node_list[COV] = node_list[COV] if node_list[COV] else 0.0
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def depth_first(tree, visitor=default_field):
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for item in tree:
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if type(item) == tuple:
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item, children = item
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depth_first(children, visitor)
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visitor(item)
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def covercalc(tree):
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'''
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Depth first weighted average of coverage
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'''
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sum_covwt, sum_wt = 0, 0
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for item in tree:
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if type(item) == tuple:
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item, children = item
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item[COV] = covercalc(children)
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sum_wt += item[WT]
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sum_covwt += item[COV] * item[WT]
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cov = sum_covwt / sum_wt
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return cov
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if __name__ == '__main__':
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lstc = []
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commas_to_list(lstc, ((n, ln) for n, ln in enumerate(fc2.split('\n'))))
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#pp(lstc, width=1, indent=4, compact=1)
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#print('\n\nEXPANDED DEFAULTS\n')
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depth_first(lstc)
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#pptreefields(['NAME_HIERARCHY WEIGHT COVERAGE'.split()] + lstc)
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print('\n\nTOP COVERAGE = %f\n' % covercalc(lstc))
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depth_first(lstc)
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pptreefields(['NAME_HIERARCHY WEIGHT COVERAGE'.split()] + lstc)
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@ -0,0 +1,126 @@
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# -*- coding: utf-8 -*-
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SPACES = 4
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class Node:
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path2node = {}
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def add_node(self, pathname, wt, cov):
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path2node = self.path2node
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path, name = pathname.strip().rsplit('/', 1)
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node = Node(name, wt, cov)
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path2node[pathname] = node
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path2node[path].child.append(node) # Link the tree
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def __init__(self, name="", wt=1, cov=0.0, child=None):
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if child is None:
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child = []
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self.name, self.wt, self.cov, self.child = name, wt, cov, child
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self.delta = None
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self.sum_wt = wt
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if name == "":
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# designate the top of the tree
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self.path2node[name] = self
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def __repr__(self, indent=0):
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name, wt, cov, delta, child = (self.name, self.wt, self.cov,
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self.delta, self.child)
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lhs = ' ' * (SPACES * indent) + "Node(%r," % name
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txt = '%-40s wt=%2g, cov=%-8.5g, delta=%-10s, child=[' \
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% (lhs, wt, cov, ('n/a' if delta is None else '%-10.7f' % delta))
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if not child:
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txt += (']),\n')
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else:
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txt += ('\n')
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for c in child:
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txt += c.__repr__(indent + 1)
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txt += (' ' * (SPACES * indent) + "]),\n")
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return txt
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def covercalc(self):
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'''
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Depth first weighted average of coverage
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'''
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child = self.child
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if not child:
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return self.cov
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sum_covwt, sum_wt = 0, 0
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for node in child:
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nwt = node.wt
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ncov = node.covercalc()
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sum_wt += nwt
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sum_covwt += ncov * nwt
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cov = sum_covwt / sum_wt
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self.sum_wt = sum_wt
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self.cov = cov
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return cov
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def deltacalc(self, power=1.0):
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'''
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Top down distribution of weighted residuals
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'''
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sum_wt = self.sum_wt
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self.delta = delta = (1 - self.cov) * power
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for node in self.child:
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node.deltacalc(power * node.wt / sum_wt)
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return delta
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def isclose(a, b, rel_tol=1e-9, abs_tol=1e-9):
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return abs(a-b) <= max( rel_tol * max(abs(a), abs(b)), abs_tol )
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if __name__ == '__main__':
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top = Node() # Add placeholder for top of tree
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add_node = top.add_node
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add_node('/cleaning', 1, 0)
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add_node('/cleaning/house1', 40, 0)
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add_node('/cleaning/house1/bedrooms', 1, 0.25)
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add_node('/cleaning/house1/bathrooms', 1, 0)
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add_node('/cleaning/house1/bathrooms/bathroom1', 1, 0.5)
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add_node('/cleaning/house1/bathrooms/bathroom2', 1, 0)
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add_node('/cleaning/house1/bathrooms/outside_lavatory', 1, 1)
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add_node('/cleaning/house1/attic', 1, 0.75)
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add_node('/cleaning/house1/kitchen', 1, 0.1)
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add_node('/cleaning/house1/living_rooms', 1, 0)
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add_node('/cleaning/house1/living_rooms/lounge', 1, 0)
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add_node('/cleaning/house1/living_rooms/dining_room', 1, 0)
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add_node('/cleaning/house1/living_rooms/conservatory', 1, 0)
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add_node('/cleaning/house1/living_rooms/playroom', 1, 1)
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add_node('/cleaning/house1/basement', 1, 0)
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add_node('/cleaning/house1/garage', 1, 0)
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add_node('/cleaning/house1/garden', 1, 0.8)
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add_node('/cleaning/house2', 60, 0)
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add_node('/cleaning/house2/upstairs', 1, 0)
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add_node('/cleaning/house2/upstairs/bedrooms', 1, 0)
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add_node('/cleaning/house2/upstairs/bedrooms/suite_1', 1, 0)
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add_node('/cleaning/house2/upstairs/bedrooms/suite_2', 1, 0)
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add_node('/cleaning/house2/upstairs/bedrooms/bedroom_3', 1, 0)
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add_node('/cleaning/house2/upstairs/bedrooms/bedroom_4', 1, 0)
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add_node('/cleaning/house2/upstairs/bathroom', 1, 0)
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add_node('/cleaning/house2/upstairs/toilet', 1, 0)
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add_node('/cleaning/house2/upstairs/attics', 1, 0.6)
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add_node('/cleaning/house2/groundfloor', 1, 0)
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add_node('/cleaning/house2/groundfloor/kitchen', 1, 0)
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add_node('/cleaning/house2/groundfloor/living_rooms', 1, 0)
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add_node('/cleaning/house2/groundfloor/living_rooms/lounge', 1, 0)
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add_node('/cleaning/house2/groundfloor/living_rooms/dining_room', 1, 0)
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add_node('/cleaning/house2/groundfloor/living_rooms/conservatory', 1, 0)
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add_node('/cleaning/house2/groundfloor/living_rooms/playroom', 1, 0)
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add_node('/cleaning/house2/groundfloor/wet_room_&_toilet', 1, 0)
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add_node('/cleaning/house2/groundfloor/garage', 1, 0)
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add_node('/cleaning/house2/groundfloor/garden', 1, 0.9)
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add_node('/cleaning/house2/groundfloor/hot_tub_suite', 1, 1)
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add_node('/cleaning/house2/basement', 1, 0)
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add_node('/cleaning/house2/basement/cellars', 1, 1)
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add_node('/cleaning/house2/basement/wine_cellar', 1, 1)
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add_node('/cleaning/house2/basement/cinema', 1, 0.75)
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top = top.child[0] # Remove artificial top
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cover = top.covercalc()
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delta = top.deltacalc()
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print('TOP COVERAGE = %g\n' % cover)
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print(top)
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assert isclose((delta + cover), 1.0), "Top level delta + coverage should " \
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"equal 1 instead of (%f + %f)" % (delta, cover)
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@ -0,0 +1,463 @@
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'''Functional coverage tree'''
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from itertools import chain, product
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from functools import reduce
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# main :: IO ()
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def main():
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'''Tabular outline serialisation of a parse tree
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decorated with computations of:
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1. Weighted coverage of each tree node.
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2. Each node's share of the total project's
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remaining work.
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'''
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columnWidths = [31, 9, 9, 9]
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delimiter = '|'
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reportLines = REPORT.splitlines()
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columnTitles = init(columnNames(delimiter)(reportLines[0]))
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# ------ SERIALISATION OF DECORATED PARSE TREE -------
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print(titleLine(delimiter)(columnWidths)(
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columnTitles + ['share of residue']
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))
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print(indentedLinesFromTree(' ', tabulation(columnWidths))(
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# -------- TWO COMPUTATIONS BY TRAVERSAL ---------
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withResidueShares(1.0)(
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foldTree(weightedCoverage)(
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# --- TREE FROM PARSE OF OUTLINE TEXT ----
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fmapTree(
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recordFromKeysDefaultsDelimiterAndLine(
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columnTitles
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)(
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[str, float, float])([
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'?', 1.0, 0.0
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])(delimiter)
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)(
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forestFromIndentLevels(
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indentLevelsFromLines(
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reportLines[1:]
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)
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)[0]
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)
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)
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)
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))
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# ---- WEIGHTED COVERAGE, AND SHARE OF TOTAL RESIDUE -----
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# weightedCoverage :: Tree Dict ->
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# [Tree Dict] -> Tree Dict
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def weightedCoverage(x):
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'''The weighted coverage of a tree node,
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as a function of the weighted averages
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of its children.
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'''
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def go(xs):
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cws = [
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(r['coverage'], r['weight']) for r
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in [root(x) for x in xs]
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]
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totalWeight = reduce(lambda a, x: a + x[1], cws, 0)
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return Node(dict(
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x, **{
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'coverage': round(reduce(
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lambda a, cw: a + (cw[0] * cw[1]),
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cws, x['coverage']
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) / (totalWeight if 0 < totalWeight else 1), 5)
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}
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))(xs)
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return go
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# withResidueShares :: Float -> Tree Dict -> Tree Dict
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def withResidueShares(shareOfTotal):
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'''A Tree of dictionaries additionally decorated with each
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node's proportion of the total project's outstanding work.
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'''
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def go(fraction, node):
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[nodeRoot, nodeNest] = ap([root, nest])([node])
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weights = [root(x)['weight'] for x in nodeNest]
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siblingsTotal = sum(weights)
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return Node(
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insertDict('residual_share')(
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round(fraction * (1 - nodeRoot['coverage']), 5)
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)(nodeRoot)
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)(
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map(
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go,
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[fraction * (w / siblingsTotal) for w in weights],
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nodeNest
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)
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)
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return lambda tree: go(shareOfTotal, tree)
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# ------------------ OUTLINE TABULATION ------------------
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# tabulation :: [Int] -> String -> Dict -> String
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def tabulation(columnWidths):
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'''Indented string representation of a node
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in a functional coverage tree.
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'''
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return lambda indent, dct: '| '.join(map(
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lambda k, w: (
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(indent if 10 < w else '') + str(dct.get(k, ''))
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).ljust(w, ' '),
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dct.keys(),
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columnWidths
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))
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|
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# titleLine :: String -> [Int] -> [String] -> String
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def titleLine(delimiter):
|
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'''A string consisting of a spaced and delimited
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series of upper-case column titles.
|
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'''
|
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return lambda columnWidths: lambda ks: (
|
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delimiter + ' '
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).join(map(
|
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lambda k, w: k.ljust(w, ' '),
|
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[k.upper() for k in ks],
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columnWidths
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))
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# ------------ GENERIC AND REUSABLE FUNCTIONS ------------
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# Node :: a -> [Tree a] -> Tree a
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def Node(v):
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'''Constructor for a Tree node which connects a
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value of some kind to a list of zero or
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more child trees.
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'''
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return lambda xs: {'type': 'Tree', 'root': v, 'nest': xs}
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|
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# ap (<*>) :: [(a -> b)] -> [a] -> [b]
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def ap(fs):
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'''The application of each of a list of functions,
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to each of a list of values.
|
||||
'''
|
||||
def go(xs):
|
||||
return [
|
||||
f(x) for (f, x)
|
||||
in product(fs, xs)
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||||
]
|
||||
return go
|
||||
|
||||
|
||||
# columnNames :: String -> String -> [String]
|
||||
def columnNames(delimiter):
|
||||
'''A list of lower-case keys derived from
|
||||
a header line and a delimiter character.
|
||||
'''
|
||||
return compose(
|
||||
fmapList(compose(toLower, strip)),
|
||||
splitOn(delimiter)
|
||||
)
|
||||
|
||||
|
||||
# compose :: ((a -> a), ...) -> (a -> a)
|
||||
def compose(*fs):
|
||||
'''Composition, from right to left,
|
||||
of a series of functions.
|
||||
'''
|
||||
return lambda x: reduce(
|
||||
lambda a, f: f(a),
|
||||
fs[::-1], x
|
||||
)
|
||||
|
||||
|
||||
# concatMap :: (a -> [b]) -> [a] -> [b]
|
||||
def concatMap(f):
|
||||
'''A concatenated list over which a function has been mapped.
|
||||
The list monad can be derived by using a function f which
|
||||
wraps its output in a list,
|
||||
(using an empty list to represent computational failure).
|
||||
'''
|
||||
def go(xs):
|
||||
return chain.from_iterable(map(f, xs))
|
||||
return go
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||||
|
||||
|
||||
# div :: Int -> Int -> Int
|
||||
def div(x):
|
||||
'''Integer division.'''
|
||||
return lambda y: x // y
|
||||
|
||||
|
||||
# first :: (a -> b) -> ((a, c) -> (b, c))
|
||||
def first(f):
|
||||
'''A simple function lifted to a function over a tuple,
|
||||
with f applied only the first of two values.
|
||||
'''
|
||||
return lambda xy: (f(xy[0]), xy[1])
|
||||
|
||||
|
||||
# flip :: (a -> b -> c) -> b -> a -> c
|
||||
def flip(f):
|
||||
'''The (curried or uncurried) function f with its
|
||||
arguments reversed.
|
||||
'''
|
||||
return lambda a: lambda b: f(b)(a)
|
||||
|
||||
|
||||
# fmapList :: (a -> b) -> [a] -> [b]
|
||||
def fmapList(f):
|
||||
'''fmap over a list.
|
||||
f lifted to a function over a list.
|
||||
'''
|
||||
return lambda xs: [f(x) for x in xs]
|
||||
|
||||
|
||||
# fmapTree :: (a -> b) -> Tree a -> Tree b
|
||||
def fmapTree(f):
|
||||
'''A new tree holding the results of
|
||||
an application of f to each root in
|
||||
the existing tree.
|
||||
'''
|
||||
def go(x):
|
||||
return Node(
|
||||
f(x['root'])
|
||||
)([go(v) for v in x['nest']])
|
||||
return go
|
||||
|
||||
|
||||
# foldTree :: (a -> [b] -> b) -> Tree a -> b
|
||||
def foldTree(f):
|
||||
'''The catamorphism on trees. A summary
|
||||
value defined by a depth-first fold.
|
||||
'''
|
||||
def go(node):
|
||||
return f(root(node))([
|
||||
go(x) for x in nest(node)
|
||||
])
|
||||
return go
|
||||
|
||||
|
||||
# forestFromIndentLevels :: [(Int, a)] -> [Tree a]
|
||||
def forestFromIndentLevels(tuples):
|
||||
'''A list of trees derived from a list of values paired
|
||||
with integers giving their levels of indentation.
|
||||
'''
|
||||
def go(xs):
|
||||
if xs:
|
||||
intIndent, v = xs[0]
|
||||
firstTreeLines, rest = span(
|
||||
lambda x: intIndent < x[0]
|
||||
)(xs[1:])
|
||||
return [Node(v)(go(firstTreeLines))] + go(rest)
|
||||
else:
|
||||
return []
|
||||
return go(tuples)
|
||||
|
||||
|
||||
# fst :: (a, b) -> a
|
||||
def fst(tpl):
|
||||
'''First member of a pair.'''
|
||||
return tpl[0]
|
||||
|
||||
|
||||
# indentLevelsFromLines :: [String] -> [(Int, String)]
|
||||
def indentLevelsFromLines(xs):
|
||||
'''Each input line stripped of leading
|
||||
white space, and tupled with a preceding integer
|
||||
giving its level of indentation from 0 upwards.
|
||||
'''
|
||||
indentTextPairs = list(map(
|
||||
compose(first(len), span(isSpace)),
|
||||
xs
|
||||
))
|
||||
indentUnit = min(concatMap(
|
||||
lambda x: [x[0]] if x[0] else []
|
||||
)(indentTextPairs))
|
||||
return list(map(
|
||||
first(flip(div)(indentUnit)),
|
||||
indentTextPairs
|
||||
))
|
||||
|
||||
|
||||
# indentedLinesFromTree :: String -> (String -> a -> String) ->
|
||||
# [Tree a] -> String
|
||||
def indentedLinesFromTree(strTab, f):
|
||||
'''An indented line rendering of a tree, in which
|
||||
the function f stringifies a root value.
|
||||
'''
|
||||
def go(indent):
|
||||
return lambda node: [f(indent, node['root'])] + list(
|
||||
concatMap(
|
||||
go(strTab + indent)
|
||||
)(node['nest'])
|
||||
)
|
||||
return lambda tree: '\n'.join(go('')(tree))
|
||||
|
||||
|
||||
# init :: [a] -> [a]
|
||||
def init(xs):
|
||||
'''A list containing all the elements
|
||||
of xs except the last.
|
||||
'''
|
||||
return xs[:-1]
|
||||
|
||||
|
||||
# insertDict :: String -> a -> Dict -> Dict
|
||||
def insertDict(k):
|
||||
'''A new dictionary updated with a (k, v) pair.'''
|
||||
def go(v, dct):
|
||||
return dict(dct, **{k: v})
|
||||
return lambda v: lambda dct: go(v, dct)
|
||||
|
||||
|
||||
# isSpace :: Char -> Bool
|
||||
# isSpace :: String -> Bool
|
||||
def isSpace(s):
|
||||
'''True if s is not empty, and
|
||||
contains only white space.
|
||||
'''
|
||||
return s.isspace()
|
||||
|
||||
|
||||
# lt (<) :: Ord a => a -> a -> Bool
|
||||
def lt(x):
|
||||
'''True if x < y.'''
|
||||
return lambda y: (x < y)
|
||||
|
||||
|
||||
# nest :: Tree a -> [Tree a]
|
||||
def nest(t):
|
||||
'''Accessor function for children of tree node.'''
|
||||
return t['nest'] if 'nest' in t else None
|
||||
|
||||
|
||||
# recordFromKeysDefaultsAndLine :: String ->
|
||||
# { name :: String, weight :: Float, completion :: Float }
|
||||
def recordFromKeysDefaultsDelimiterAndLine(columnTitles):
|
||||
'''A dictionary of key-value pairs, derived from a
|
||||
delimited string, together with ordered lists of
|
||||
key-names, types, default values, and a delimiter.
|
||||
'''
|
||||
return lambda ts: lambda vs: lambda delim: lambda s: dict(
|
||||
map(
|
||||
lambda k, t, v, x: (k, t(x) if x else v),
|
||||
columnTitles, ts, vs,
|
||||
map(strip, splitOn(delim)(s))
|
||||
)
|
||||
)
|
||||
|
||||
|
||||
# root :: Tree a -> a
|
||||
def root(t):
|
||||
'''Accessor function for data of tree node.'''
|
||||
return t['root'] if 'root' in t else None
|
||||
|
||||
|
||||
# strip :: String -> String
|
||||
def strip(s):
|
||||
'''A copy of s without any leading or trailling
|
||||
white space.
|
||||
'''
|
||||
return s.strip()
|
||||
|
||||
|
||||
# span :: (a -> Bool) -> [a] -> ([a], [a])
|
||||
def span(p):
|
||||
'''The longest (possibly empty) prefix of xs
|
||||
that contains only elements satisfying p,
|
||||
tupled with the remainder of xs.
|
||||
span p xs is equivalent to (takeWhile p xs, dropWhile p xs).
|
||||
'''
|
||||
def match(ab):
|
||||
b = ab[1]
|
||||
return not b or not p(b[0])
|
||||
|
||||
def f(ab):
|
||||
a, b = ab
|
||||
return a + [b[0]], b[1:]
|
||||
|
||||
def go(xs):
|
||||
return until(match)(f)(([], xs))
|
||||
return go
|
||||
|
||||
|
||||
# splitOn :: String -> String -> [String]
|
||||
def splitOn(pat):
|
||||
'''A list of the strings delimited by
|
||||
instances of a given pattern in s.
|
||||
'''
|
||||
return lambda xs: (
|
||||
xs.split(pat) if isinstance(xs, str) else None
|
||||
)
|
||||
|
||||
|
||||
# toLower :: String -> String
|
||||
def toLower(s):
|
||||
'''String in lower case.'''
|
||||
return s.lower()
|
||||
|
||||
|
||||
# until :: (a -> Bool) -> (a -> a) -> a -> a
|
||||
def until(p):
|
||||
'''The result of repeatedly applying f until p holds.
|
||||
The initial seed value is x.
|
||||
'''
|
||||
def go(f):
|
||||
def g(x):
|
||||
v = x
|
||||
while not p(v):
|
||||
v = f(v)
|
||||
return v
|
||||
return g
|
||||
return go
|
||||
|
||||
|
||||
# MAIN ----------------------------------------------------
|
||||
if __name__ == '__main__':
|
||||
REPORT = '''NAME_HIERARCHY |WEIGHT |COVERAGE |
|
||||
cleaning | | |
|
||||
house1 |40 | |
|
||||
bedrooms | |0.25 |
|
||||
bathrooms | | |
|
||||
bathroom1 | |0.5 |
|
||||
bathroom2 | | |
|
||||
outside_lavatory | |1 |
|
||||
attic | |0.75 |
|
||||
kitchen | |0.1 |
|
||||
living_rooms | | |
|
||||
lounge | | |
|
||||
dining_room | | |
|
||||
conservatory | | |
|
||||
playroom | |1 |
|
||||
basement | | |
|
||||
garage | | |
|
||||
garden | |0.8 |
|
||||
house2 |60 | |
|
||||
upstairs | | |
|
||||
bedrooms | | |
|
||||
suite_1 | | |
|
||||
suite_2 | | |
|
||||
bedroom_3 | | |
|
||||
bedroom_4 | | |
|
||||
bathroom | | |
|
||||
toilet | | |
|
||||
attics | |0.6 |
|
||||
groundfloor | | |
|
||||
kitchen | | |
|
||||
living_rooms | | |
|
||||
lounge | | |
|
||||
dining_room | | |
|
||||
conservatory | | |
|
||||
playroom | | |
|
||||
wet_room_&_toilet | | |
|
||||
garage | | |
|
||||
garden | |0.9 |
|
||||
hot_tub_suite | |1 |
|
||||
basement | | |
|
||||
cellars | |1 |
|
||||
wine_cellar | |1 |
|
||||
cinema | |0.75 |'''
|
||||
main()
|
||||
Loading…
Add table
Add a link
Reference in a new issue