Track assignment: replace munkres with lapjv

See the following comparison between several implementations to solve
this problem: https://github.com/berhane/LAP-solvers

beets/autotag/match.py

@@ -22,9 +22,10 @@
 import re
 from collections.abc import Iterable, Sequence
 from enum import IntEnum
-from typing import TYPE_CHECKING, Any, NamedTuple, TypeVar, Union, cast
+from typing import TYPE_CHECKING, Any, NamedTuple, TypeVar, cast
 
-from munkres import Munkres
+import lap
+import numpy as np
 
 from beets import config, logging, plugins
 from beets.autotag import (
@@ -126,21 +127,15 @@ def assign_items(
     of objects of the two types.
     """
     # Construct the cost matrix.
-    costs: list[list[Distance]] = []
-    for item in items:
-        row = []
-        for track in tracks:
-            row.append(track_distance(item, track))
-        costs.append(row)
-
+    costs = [[float(track_distance(i, t)) for t in tracks] for i in items]
     # Find a minimum-cost bipartite matching.
     log.debug("Computing track assignment...")
-    matching = Munkres().compute(costs)
+    cost, _, assigned_idxs = lap.lapjv(np.array(costs), extend_cost=True)
     log.debug("...done.")
 
     # Produce the output matching.
-    mapping = {items[i]: tracks[j] for (i, j) in matching}
-    extra_items = list(set(items) - set(mapping.keys()))
+    mapping = {items[i]: tracks[t] for (t, i) in enumerate(assigned_idxs)}
+    extra_items = list(set(items) - mapping.keys())
     extra_items.sort(key=lambda i: (i.disc, i.track, i.title))
     extra_tracks = list(set(tracks) - set(mapping.values()))
     extra_tracks.sort(key=lambda t: (t.index, t.title))
@@ -154,6 +149,10 @@ def track_index_changed(item: Item, track_info: TrackInfo) -> bool:
     return item.track not in (track_info.medium_index, track_info.index)
 
 
+track_length_grace = config["match"]["track_length_grace"].as_number()
+track_length_max = config["match"]["track_length_max"].as_number()
+
+
 def track_distance(
     item: Item,
     track_info: TrackInfo,
@@ -166,18 +165,8 @@ def track_distance(
     dist = hooks.Distance()
 
     # Length.
-    if track_info.length:
-        item_length = cast(float, item.length)
-        track_length_grace = cast(
-            Union[float, int],
-            config["match"]["track_length_grace"].as_number(),
-        )
-        track_length_max = cast(
-            Union[float, int],
-            config["match"]["track_length_max"].as_number(),
-        )
-
-        diff = abs(item_length - track_info.length) - track_length_grace
+    if info_length := track_info.length:
+        diff = abs(item.length - info_length) - track_length_grace
         dist.add_ratio("track_length", diff, track_length_max)
 
     # Title.

docs/changelog.rst

@@ -27,6 +27,9 @@ Bug fixes:
   :bug:`5265`
   :bug:`5371`
   :bug:`4715`
+* :ref:`import-cmd`: Fix ``MemoryError`` and improve performance tagging large
+  albums by replacing ``munkres`` library with ``lap.lapjv``.
+  :bug:`5207`
 
 For packagers:
 

pyproject.toml

@@ -44,9 +44,10 @@ python = ">=3.9,<4"
 colorama = { version = "*", markers = "sys_platform == 'win32'" }
 confuse = ">=1.5.0"
 jellyfish = "*"
+lap = ">=0.5.12"
 mediafile = ">=0.12.0"
-munkres = ">=1.0.0"
 musicbrainzngs = ">=0.4"
+numpy = ">=1.24.4"
 platformdirs = ">=3.5.0"
 pyyaml = "*"
 typing_extensions = { version = "*", python = "<=3.10" }