# Path: regraph/exceptions.py
# class ReGraphError(ReGraphException):
#     """Exception for errors in ReGraph."""
# 
# class RewritingError(ReGraphException):
#     """Exceptions class for errors in rewriting in a hierarchy."""
# 
# class HierarchyError(ReGraphException):
#     """Exceptions class for hierarchy handling."""
# 
# class InvalidHomomorphism(ReGraphException):
#     """Exceptions class for invalid homomorphisms."""
# 
# Path: regraph/utils.py
# def keys_by_value(dictionary, val):
#     """Get keys of a dictionary by a value."""
#     res = []
#     for key, value in dictionary.items():
#         if value == val:
#             res.append(key)
#     return res
# 
# def format_typing(typing):
#     if typing is None:
#         typing = dict()
#     new_typing = dict()
#     for key, value in typing.items():
#         if type(value) == dict:
#             new_typing[key] = copy.deepcopy(value)
#         else:
#             try:
#                 if len(value) == 2:
#                     new_typing[key] = copy.deepcopy(value)
#                 elif len(value) == 1:
#                     new_typing[key] = copy.deepcopy(value[0])
#             except:
#                 raise ReGraphError("Typing format is not valid!")
#     return new_typing
# 
# def normalize_typing_relation(typing_rel):
#     new_typing_rel = format_typing(typing_rel)
#     for g, typing_rel in new_typing_rel.items():
#         for key, values in typing_rel.items():
#             value_set = set()
#             if type(values) == str:
#                 value_set.add(values)
#             else:
#                 try:
#                     for v in values:
#                         value_set.add(v)
#                 except TypeError:
#                     value_set.add(values)
#             if len(value_set) > 0:
#                 new_typing_rel[g][key] = value_set
#     return new_typing_rel


import networkx as nx
from networkx.exception import NetworkXNoPath
from regraph.exceptions import (ReGraphError,
                                RewritingError,
                                HierarchyError,
                                InvalidHomomorphism)
from regraph.utils import (keys_by_value,
                           format_typing,
                           normalize_typing_relation)
from regraph.networkx.category_utils import (check_homomorphism,
                                             compose,
                                             is_monic)
                    if p_rhs[p_node] not in new_rhs_typing_rel[typing_graph].keys():
                        new_rhs_typing_rel[typing_graph][p_rhs[p_node]] = set()

                    new_rhs_typing_rel[typing_graph][p_rhs[p_node]].add(
                        new_lhs_typing[typing_graph][l_node])

        # Second step of autocompletion of rhs typing
        for graph, typing in new_rhs_typing_rel.items():
            ancestors = hierarchy.get_descendants(graph)
            for ancestor, ancestor_typing in ancestors.items():
                dif = set(typing.keys()) -\
                    set(new_rhs_typing_rel[ancestor].keys())
                for node in dif:
                    type_set = set()
                    for el in new_rhs_typing_rel[graph][node]:
                        type_set.add(ancestor_typing[el])
                    new_rhs_typing_rel[ancestor][node] = type_set
    return (new_lhs_typing, new_p_typing, new_rhs_typing_rel)


def _check_self_consistency(hierarchy, typing, strict=True):
    for typing_graph, mapping in typing.items():
        ancestors = hierarchy.get_descendants(typing_graph)
        for anc, anc_typing in ancestors.items():
            if anc in typing.keys():
                for key, value in mapping.items():
                    if key in typing[anc].keys():
                        if type(value) == str:
                            if value in anc_typing.keys() and\
                               anc_typing[value] != typing[anc][key]:

# Path: regraph/exceptions.py
# class ReGraphError(ReGraphException):
#     """Exception for errors in ReGraph."""
# 
# class RewritingError(ReGraphException):
#     """Exceptions class for errors in rewriting in a hierarchy."""
# 
# class HierarchyError(ReGraphException):
#     """Exceptions class for hierarchy handling."""
# 
# class InvalidHomomorphism(ReGraphException):
#     """Exceptions class for invalid homomorphisms."""
# 
# Path: regraph/utils.py
# def keys_by_value(dictionary, val):
#     """Get keys of a dictionary by a value."""
#     res = []
#     for key, value in dictionary.items():
#         if value == val:
#             res.append(key)
#     return res
# 
# def format_typing(typing):
#     if typing is None:
#         typing = dict()
#     new_typing = dict()
#     for key, value in typing.items():
#         if type(value) == dict:
#             new_typing[key] = copy.deepcopy(value)
#         else:
#             try:
#                 if len(value) == 2:
#                     new_typing[key] = copy.deepcopy(value)
#                 elif len(value) == 1:
#                     new_typing[key] = copy.deepcopy(value[0])
#             except:
#                 raise ReGraphError("Typing format is not valid!")
#     return new_typing
# 
# def normalize_typing_relation(typing_rel):
#     new_typing_rel = format_typing(typing_rel)
#     for g, typing_rel in new_typing_rel.items():
#         for key, values in typing_rel.items():
#             value_set = set()
#             if type(values) == str:
#                 value_set.add(values)
#             else:
#                 try:
#                     for v in values:
#                         value_set.add(v)
#                 except TypeError:
#                     value_set.add(values)
#             if len(value_set) > 0:
#                 new_typing_rel[g][key] = value_set
#     return new_typing_rel


# Path: regraph/backends/networkx/utils/type_checking.py
import networkx as nx
from networkx.exception import NetworkXNoPath
from regraph.exceptions import (ReGraphError,
                                RewritingError,
                                HierarchyError,
                                InvalidHomomorphism)
from regraph.utils import (keys_by_value,
                           format_typing,
                           normalize_typing_relation)
from regraph.networkx.category_utils import (check_homomorphism,
                                             compose,
                                             is_monic)

                    if p_rhs[p_node] not in new_rhs_typing_rel[typing_graph].keys():
                        new_rhs_typing_rel[typing_graph][p_rhs[p_node]] = set()

                    new_rhs_typing_rel[typing_graph][p_rhs[p_node]].add(
                        new_lhs_typing[typing_graph][l_node])

        # Second step of autocompletion of rhs typing
        for graph, typing in new_rhs_typing_rel.items():
            ancestors = hierarchy.get_descendants(graph)
            for ancestor, ancestor_typing in ancestors.items():
                dif = set(typing.keys()) -\
                    set(new_rhs_typing_rel[ancestor].keys())
                for node in dif:
                    type_set = set()
                    for el in new_rhs_typing_rel[graph][node]:
                        type_set.add(ancestor_typing[el])
                    new_rhs_typing_rel[ancestor][node] = type_set
    return (new_lhs_typing, new_p_typing, new_rhs_typing_rel)


def _check_self_consistency(hierarchy, typing, strict=True):
    for typing_graph, mapping in typing.items():
        ancestors = hierarchy.get_descendants(typing_graph)
        for anc, anc_typing in ancestors.items():
            if anc in typing.keys():
                for key, value in mapping.items():
                    if key in typing[anc].keys():
                        if type(value) == str:
                            if value in anc_typing.keys() and\
                               anc_typing[value] != typing[anc][key]:

                                raise RewritingError(