Other bidict Types#

Now that we’ve covered Basic Usage with the bidict.bidict type, let’s look at some other bidirectional mapping types.

Bidict Types Diagram#

bidict types diagram

All bidirectional mapping types that bidict provides are subclasses of bidict.BidirectionalMapping. This abstract base class extends collections.abc.Mapping by adding the “inverseabstractproperty.

As you can see above, bidict.bidict is also a collections.abc.MutableMapping. But bidict provides immutable bidirectional mapping types as well.


frozenbidict is an immutable, hashable bidirectional mapping type.

As you would expect, attempting to mutate a frozenbidict causes an error:

>>> from bidict import frozenbidict
>>> f = frozenbidict({'H': 'hydrogen'})
>>> f['C'] = 'carbon'
Traceback (most recent call last):
TypeError: 'frozenbidict' object does not support item assignment

frozenbidict also implements collections.abc.Hashable, so it’s suitable for insertion into sets or other mappings:

>>> my_set = {f}      # not an error
>>> my_dict = {f: 1}  # also not an error


bidict.OrderedBidict is a MutableBidirectionalMapping that preserves the insertion order of its items, and offers some additional ordering-related APIs not offered by the plain bidict type. It’s like a bidirectional version of collections.OrderedDict.

>>> from bidict import OrderedBidict
>>> element_by_symbol = OrderedBidict({'H': 'hydrogen', 'He': 'helium', 'Li': 'lithium'})
>>> element_by_symbol.inverse
OrderedBidict({'hydrogen': 'H', 'helium': 'He', 'lithium': 'Li'})

>>> first, second, third = element_by_symbol.values()
>>> first, second, third
('hydrogen', 'helium', 'lithium')

>>> # Insert an additional item and verify it now comes last:
>>> element_by_symbol['Be'] = 'beryllium'
>>> *_, last_item = element_by_symbol.items()
>>> last_item
('Be', 'beryllium')

Extra order-sensitive APIs#

Additional, efficiently-implemented, order-sensitive APIs are provided as well, following the example of OrderedDict.

Namely, OrderedBidict provides constant-time implementations of popitem(last: bool) and move_to_end(last: bool), which make ordered bidicts suitable to use for things like FIFO queues and LRU caches.

>>> element_by_symbol.popitem(last=True)   # Remove the last item
('Be', 'beryllium')
>>> element_by_symbol.popitem(last=False)  # Remove the first item
('H', 'hydrogen')

>>> # Re-adding hydrogen after it's been removed moves it to the end:
>>> element_by_symbol['H'] = 'hydrogen'
>>> element_by_symbol
OrderedBidict({'He': 'helium', 'Li': 'lithium', 'H': 'hydrogen'})

>>> # But there's also a `move_to_end` method just for this purpose:
>>> element_by_symbol.move_to_end('Li')
>>> element_by_symbol
OrderedBidict({'He': 'helium', 'H': 'hydrogen', 'Li': 'lithium'})

>>> element_by_symbol.move_to_end('H', last=False)  # move to front
>>> element_by_symbol
OrderedBidict({'H': 'hydrogen', 'He': 'helium', 'Li': 'lithium'})

__eq__() is order-insensitive#

To ensure that == comparison for any bidict always upholds the transitive property of equality and the Liskov substitution principle, equality tests between a bidict and another mapping are always order-insensitive, even for ordered bidicts:

>>> o1 = OrderedBidict({1: 1, 2: 2})
>>> o2 = OrderedBidict({2: 2, 1: 1})
>>> o1 == o2

For order-sensitive equality tests, use equals_order_sensitive():

>>> o1.equals_order_sensitive(o2)

(Note that this improves on the behavior of collections.OrderedDict.__eq__(). For more about this, see Python surprises.)

What about order-preserving dicts?#

In CPython 3.6+ and all versions of PyPy, dict preserves insertion order. Since bidicts are built on top of dicts, can we get away with using a plain bidict in places where you need an order-preserving bidirectional mapping? (Assuming we don’t need the Extra order-sensitive APIs.)

Let’s look at some examples.

Order consistency between bidicts and their inverses#

Consider the following:

>>> b = bidict({1: -1, 2: -2, 3: -3})
>>> b[2] = 'UPDATED'
>>> b
bidict({1: -1, 2: 'UPDATED', 3: -3})

So far so good, but look what happens to the inverse:

>>> b.inverse
bidict({-1: 1, -3: 3, 'UPDATED': 2})

After the mutation, the ordering of the items in the plain bidict is no longer consistent with its inverse.

To ensure that ordering is kept consistent between a bidict and its inverse, no matter how it’s mutated, you have to use an ordered bidict:

>>> ob = OrderedBidict({1: -1, 2: -2, 3: -3})
>>> ob[2] = 'UPDATED'
>>> ob
OrderedBidict({1: -1, 2: 'UPDATED', 3: -3})
>>> ob.inverse  # better:
OrderedBidict({-1: 1, 'UPDATED': 2, -3: 3})

Preserving insertion order of items even after key changes#

Another way that ordered bidicts differ from plain bidicts is that you can change the key of an existing item, and its order will still be preserved.

Let’s look at an example:

>>> bi = bidict({1: -1})
>>> ob = OrderedBidict({1: -1})
>>> bi.forceupdate({2: -2, 3: -1})
>>> ob.forceupdate({2: -2, 3: -1})

This update changes the key of the existing item with value -1. In the ordered bidict, this change is performed in-place, preserving the insertion order. The item with value -1 was the first item inserted, and it remains the first item even after the update:

>>> ob
OrderedBidict({3: -1, 2: -2})

In the plain bidict, however, the changed item has now been moved to the end:

>>> bi
bidict({2: -2, 3: -1})

Note that if you insert an item that changes the key of one existing item and the value of another existing item, the behavior described in Collapsing Overwrites still applies.


Like plain bidicts (and plain dicts too, for that matter), ordered bidicts take O(n) space. But to preserve insertion order, as well as implement the Extra order-sensitive APIs in constant time, it costs OrderedBidict a higher constant factor in its O(n) space complexity.

If you depend on preserving insertion order, an unordered bidict may be sufficient if:

  • you’ll never mutate it (in which case, use a frozenbidict), or:

  • you only mutate by removing and/or adding whole new items, never changing just the key or value of an existing item, or:

  • you are okay with inconsistent ordering between a bidict and its inverse after changing the key or value of an existing item, as well as with items moving to the end when you change their key rather than being changed in place.

That said, if your code depends on the ordering, using an OrderedBidict makes for clearer code, and ensures that insertion order will be preserved no matter what mutations you perform.

The Extra order-sensitive APIs that OrderedBidict gives you also expand the range of use cases where your bidict would be suitable, as mentioned above.

Reversing a bidict#

All provided bidict types are reversible (since they are backed by dicts, which are themselves reversible on all supported Python versions as of CPython 3.8+).

>>> b = bidict({1: 'one', 2: 'two', 3: 'three'})
>>> list(reversed(b))
[3, 2, 1]
>>> list(reversed(b.items()))  # keys/values/items views are reversible too
[(3, 'three'), (2, 'two'), (1, 'one')]


Code that needs to check only whether an object is dict-like should not use isinstance(obj, dict). This check is too specific, because dict-like objects need not actually be instances of dict or a dict subclass. You can see this for many dict-like objects in the standard library:

>>> from collections import ChainMap
>>> chainmap = ChainMap()
>>> isinstance(chainmap, dict)

The same is true for all the bidict types:

>>> bi = bidict()
>>> isinstance(bi, dict)

A better way to check whether an object is dict-like is to use the Mapping abstract base class (ABC) from the collections.abc module, which provides a number of ABCs intended for this purpose:

>>> isinstance(chainmap, Mapping)
>>> isinstance(bi, Mapping)

Also note that the proper way to check whether an object is a mutable mapping is to use the MutableMapping ABC:

>>> isinstance(chainmap, MutableMapping)
>>> isinstance(bi, MutableMapping)

To illustrate this, here’s an example of how you can combine the above with bidict’s own BidirectionalMapping ABC to implement your own check for whether an object is an immutable bidirectional mapping:

>>> def is_immutable_bimap(obj):
...     return (
...         isinstance(obj, BidirectionalMapping)
...         and not isinstance(obj, MutableMapping))

>>> is_immutable_bimap(bidict())

>>> is_immutable_bimap(frozenbidict())

For more you can do with bidict, check out Extending bidict next.