""" Copyright 2008, 2009 Free Software Foundation, Inc. This file is part of GNU Radio GNU Radio Companion is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. GNU Radio Companion is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA """ import string VAR_CHARS = string.letters + string.digits + '_' class graph(object): """ Simple graph structure held in a dictionary. """ def __init__(self): self._graph = dict() def __str__(self): return str(self._graph) def add_node(self, node_key): if self._graph.has_key(node_key): return self._graph[node_key] = set() def remove_node(self, node_key): if not self._graph.has_key(node_key): return for edges in self._graph.values(): if node_key in edges: edges.remove(node_key) self._graph.pop(node_key) def add_edge(self, src_node_key, dest_node_key): self._graph[src_node_key].add(dest_node_key) def remove_edge(self, src_node_key, dest_node_key): self._graph[src_node_key].remove(dest_node_key) def get_nodes(self): return self._graph.keys() def get_edges(self, node_key): return self._graph[node_key] def expr_split(expr): """ Split up an expression by non alphanumeric characters, including underscore. Leave strings in-tact. #TODO ignore escaped quotes, use raw strings. @param expr an expression string @return a list of string tokens that form expr """ toks = list() tok = '' quote = '' for char in expr: if quote or char in VAR_CHARS: if char == quote: quote = '' tok += char elif char in ("'", '"'): toks.append(tok) tok = char quote = char else: toks.append(tok) toks.append(char) tok = '' toks.append(tok) return filter(lambda t: t, toks) def expr_replace(expr, replace_dict): """ Search for vars in the expression and add the prepend. @param expr an expression string @param replace_dict a dict of find:replace @return a new expression with the prepend """ expr_splits = expr_split(expr) for i, es in enumerate(expr_splits): if es in replace_dict.keys(): expr_splits[i] = replace_dict[es] return ''.join(expr_splits) def get_variable_dependencies(expr, vars): """ Return a set of variables used in this expression. @param expr an expression string @param vars a list of variable names @return a subset of vars used in the expression """ expr_toks = expr_split(expr) return set(filter(lambda v: v in expr_toks, vars)) def get_graph(exprs): """ Get a graph representing the variable dependencies @param exprs a mapping of variable name to expression @return a graph of variable deps """ vars = exprs.keys() #get dependencies for each expression, load into graph var_graph = graph() for var in vars: var_graph.add_node(var) for var, expr in exprs.iteritems(): for dep in get_variable_dependencies(expr, vars): if dep != var: var_graph.add_edge(dep, var) return var_graph def sort_variables(exprs): """ Get a list of variables in order of dependencies. @param exprs a mapping of variable name to expression @return a list of variable names @throws AssertionError circular dependencies """ var_graph = get_graph(exprs) sorted_vars = list() #determine dependency order while var_graph.get_nodes(): #get a list of nodes with no edges indep_vars = filter(lambda var: not var_graph.get_edges(var), var_graph.get_nodes()) assert indep_vars #add the indep vars to the end of the list sorted_vars.extend(sorted(indep_vars)) #remove each edge-less node from the graph for var in indep_vars: var_graph.remove_node(var) return reversed(sorted_vars) def sort_objects(objects, get_id, get_expr): """ Sort a list of objects according to their expressions. @param objects the list of objects to sort @param get_id the function to extract an id from the object @param get_expr the function to extract an expression from the object @return a list of sorted objects """ id2obj = dict([(get_id(obj), obj) for obj in objects]) #map obj id to expression code id2expr = dict([(get_id(obj), get_expr(obj)) for obj in objects]) #sort according to dependency sorted_ids = sort_variables(id2expr) #return list of sorted objects return [id2obj[id] for id in sorted_ids] if __name__ == '__main__': for i in sort_variables({'x':'1', 'y':'x+1', 'a':'x+y', 'b':'y+1', 'c':'a+b+x+y'}): print i