-

cool-RR · cool-RR · commit 8bec05712af3 · 2014-09-18T02:02:53.000+03:00
diff --git a/source_py3/python_toolbox/cute_iter_tools.py b/source_py3/python_toolbox/cute_iter_tools.py
@@ -423,8 +423,7 @@ def is_sorted(iterable, key=None):
     from python_toolbox import misc_tools
     if key is None:
         key = misc_tools.identity_function
-    for first_item, second_item in \
-                    cute_iter_tools.iterate_overlapping_subsequences(iterable):
+    for first_item, second_item in iterate_overlapping_subsequences(iterable):
         if not key(second_item) >= key(first_item):
             return False
     else:
diff --git a/source_py3/python_toolbox/math_tools/factorials.py b/source_py3/python_toolbox/math_tools/factorials.py
@@ -6,8 +6,18 @@
 import itertools
 
 infinity = float('inf')
+infinities = (infinity, -infinity)
 
 
+def factorial(x, start=1):
+    '''
+    
+    This differs from the built-in `math.factorial` in that it allows a `start`
+    argument.
+    '''
+    from python_toolbox import misc_tools
+    return misc_tools.general_product(range(start, x+1), start=1)
+
 def reverse_factorial(number, round_up=True):
     assert number >= 0
     if number == 0:
diff --git a/source_py3/python_toolbox/math_tools/misc.py b/source_py3/python_toolbox/math_tools/misc.py
@@ -2,6 +2,7 @@
 # This program is distributed under the MIT license.
 
 import numbers
+import math
 
 
 infinity = float('inf')
