From 1cd9a69e51453e51e53c8472017044305e11b4ce Mon Sep 17 00:00:00 2001
From: Raymond Hettinger <raymond.hettinger@gmail.com>
Date: Fri, 31 Jul 2020 01:55:53 -0700
Subject: [PATCH 1/2] bpo-41421: Algebraic simplification for
 random.paretovariate()

---
 Lib/random.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Lib/random.py b/Lib/random.py
index a6454f520df0a3..37f71110403ad8 100644
--- a/Lib/random.py
+++ b/Lib/random.py
@@ -749,7 +749,7 @@ def paretovariate(self, alpha):
         # Jain, pg. 495
 
         u = 1.0 - self.random()
-        return 1.0 / u ** (1.0 / alpha)
+        return u ** (-1.0 / alpha)
 
     def weibullvariate(self, alpha, beta):
         """Weibull distribution.

From abed64a34ad143d5faeb4c740aced36dadc09d66 Mon Sep 17 00:00:00 2001
From: Raymond Hettinger <raymond.hettinger@gmail.com>
Date: Sat, 1 Aug 2020 00:51:30 -0700
Subject: [PATCH 2/2] Add blurb

---
 .../next/Library/2020-08-01-00-51-15.bpo-41421.dHKRVB.rst      | 3 +++
 1 file changed, 3 insertions(+)
 create mode 100644 Misc/NEWS.d/next/Library/2020-08-01-00-51-15.bpo-41421.dHKRVB.rst

diff --git a/Misc/NEWS.d/next/Library/2020-08-01-00-51-15.bpo-41421.dHKRVB.rst b/Misc/NEWS.d/next/Library/2020-08-01-00-51-15.bpo-41421.dHKRVB.rst
new file mode 100644
index 00000000000000..cf291c60d8ad57
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-08-01-00-51-15.bpo-41421.dHKRVB.rst
@@ -0,0 +1,3 @@
+Make an algebraic simplification to random.paretovariate().  It now is
+slightly less subject to round-off error and is slightly faster. Inputs that
+used to cause ZeroDivisionError now cause an OverflowError instead.