From 5f13901bb5666a8359187fc211d30cfadff52971 Mon Sep 17 00:00:00 2001
From: mika <211269698+mikamikasuki@users.noreply.github.com>
Date: Fri, 2 Oct 2026 19:49:48 -0700
Subject: [PATCH] Support NumPy vector initials in accumulate

---
 toolz/itertoolz.py            |  3 ++-
 toolz/tests/test_itertoolz.py | 28 ++++++++++++++++++++++++++++
 2 files changed, 30 insertions(+), 1 deletion(-)

diff --git a/toolz/itertoolz.py b/toolz/itertoolz.py
index 05c36cca..7272384b 100644
--- a/toolz/itertoolz.py
+++ b/toolz/itertoolz.py
@@ -55,7 +55,8 @@ def accumulate(binop, seq, initial=no_default):
         itertools.accumulate :  In standard itertools for Python 3.2+
     """
     seq = iter(seq)
-    if initial == no_default:
+    if (isinstance(initial, (str, collections.UserString))
+            and initial == no_default):
         try:
             result = next(seq)
         except StopIteration:
diff --git a/toolz/tests/test_itertoolz.py b/toolz/tests/test_itertoolz.py
index d20da2b8..a66a49f3 100644
--- a/toolz/tests/test_itertoolz.py
+++ b/toolz/tests/test_itertoolz.py
@@ -1,4 +1,6 @@
 import itertools
+import pytest
+from collections import UserString
 from itertools import starmap
 from toolz.utils import raises
 from functools import partial
@@ -325,6 +327,32 @@ def test_accumulate_works_on_consumable_iterables():
     assert list(accumulate(add, iter((1, 2, 3)))) == [1, 3, 6]
 
 
+def test_accumulate_numpy_initial():
+    np = pytest.importorskip('numpy')
+    values = [np.array([1., 2.]), np.array([3., 4.])]
+    initial = np.zeros(2)
+    result = list(accumulate(np.add, values, initial))
+    expected = list(itertools.accumulate(values, np.add, initial=initial))
+
+    assert len(result) == len(expected)
+    assert result[0] is initial
+    for actual, wanted in zip(result, expected):
+        np.testing.assert_array_equal(actual, wanted)
+
+
+def test_accumulate_none_initial():
+    assert list(accumulate(lambda acc, item: item, [1, 2], None)) == [None, 1, 2]
+
+
+def test_accumulate_user_string_sentinel():
+    assert list(accumulate(add, [1, 2], UserString(no_default2))) == [1, 3]
+
+    initial = UserString('prefix')
+    result = list(accumulate(add, ['a', 'b'], initial))
+    assert result[0] is initial
+    assert result == ['prefix', 'prefixa', 'prefixab']
+
+
 def test_sliding_window():
     assert list(sliding_window(2, [1, 2, 3, 4])) == [(1, 2), (2, 3), (3, 4)]
     assert list(sliding_window(3, [1, 2, 3, 4])) == [(1, 2, 3), (2, 3, 4)]