--- /dev/null
+From 32bd6197353f6ea8e5bef01f09e25c944141acfc Mon Sep 17 00:00:00 2001
+From: jzmaddock <john@johnmaddock.co.uk>
+Date: Wed, 1 Sep 2021 18:54:54 +0100
+Subject: [PATCH] Allow definition of BOOST_MATH_NO_ATOMIC_INT on the command
+ line. Allows us to test/emulate platforms with no atomic integers.
+
+---
+ boost/math/tools/atomic.hpp | 10 +++++-----
+ 1 file changed, 5 insertions(+), 5 deletions(-)
+
+diff --git a/boost/math/tools/atomic.hpp b/boost/math/tools/atomic.hpp
+index cc76ed269f..e3cbf5db89 100644
+--- a/boost/math/tools/atomic.hpp
++++ b/boost/math/tools/atomic.hpp
+@@ -16,27 +16,27 @@
+ namespace boost {
+ namespace math {
+ namespace detail {
+-#if ATOMIC_INT_LOCK_FREE == 2
++#if (ATOMIC_INT_LOCK_FREE == 2) && !defined(BOOST_MATH_NO_ATOMIC_INT)
+ typedef std::atomic<int> atomic_counter_type;
+ typedef std::atomic<unsigned> atomic_unsigned_type;
+ typedef int atomic_integer_type;
+ typedef unsigned atomic_unsigned_integer_type;
+-#elif ATOMIC_SHORT_LOCK_FREE == 2
++#elif (ATOMIC_SHORT_LOCK_FREE == 2) && !defined(BOOST_MATH_NO_ATOMIC_INT)
+ typedef std::atomic<short> atomic_counter_type;
+ typedef std::atomic<unsigned short> atomic_unsigned_type;
+ typedef short atomic_integer_type;
+ typedef unsigned short atomic_unsigned_type;
+-#elif ATOMIC_LONG_LOCK_FREE == 2
++#elif (ATOMIC_LONG_LOCK_FREE == 2) && !defined(BOOST_MATH_NO_ATOMIC_INT)
+ typedef std::atomic<long> atomic_unsigned_integer_type;
+ typedef std::atomic<unsigned long> atomic_unsigned_type;
+ typedef unsigned long atomic_unsigned_type;
+ typedef long atomic_integer_type;
+-#elif ATOMIC_LLONG_LOCK_FREE == 2
++#elif (ATOMIC_LLONG_LOCK_FREE == 2) && !defined(BOOST_MATH_NO_ATOMIC_INT)
+ typedef std::atomic<long long> atomic_unsigned_integer_type;
+ typedef std::atomic<unsigned long long> atomic_unsigned_type;
+ typedef long long atomic_integer_type;
+ typedef unsigned long long atomic_unsigned_integer_type;
+-#else
++#elif !defined(BOOST_MATH_NO_ATOMIC_INT)
+ # define BOOST_MATH_NO_ATOMIC_INT
+ #endif
+ } // Namespace detail
--- /dev/null
+From 7d482f6ebc356e6ec455ccb5f51a23971bf6ce5b Mon Sep 17 00:00:00 2001
+From: jzmaddock <john@johnmaddock.co.uk>
+Date: Wed, 1 Sep 2021 20:31:53 +0100
+Subject: [PATCH] Make no atomics a soft failure in bernoulli_details.hpp.
+ Include an "escape macro" so thread safety can be disabled if certain
+ bernoulli features are to be used in a no-atomics environment. Fixes
+ https://github.com/boostorg/math/issues/673.
+
+---
+ .../detail/bernoulli_details.hpp | 10 +++++++---
+ libs/math/test/Jamfile.v2 | 3 +++
+ test/compile_test/bernoulli_no_atomic_d.cpp | 14 ++++++++++++++
+ test/compile_test/bernoulli_no_atomic_fail.cpp | 15 +++++++++++++++
+ test/compile_test/bernoulli_no_atomic_mp.cpp | 16 ++++++++++++++++
+ 5 files changed, 55 insertions(+), 3 deletions(-)
+ create mode 100644 test/compile_test/bernoulli_no_atomic_d.cpp
+ create mode 100644 test/compile_test/bernoulli_no_atomic_fail.cpp
+ create mode 100644 test/compile_test/bernoulli_no_atomic_mp.cpp
+
+diff --git a/boost/math/special_functions/detail/bernoulli_details.hpp b/boost/math/special_functions/detail/bernoulli_details.hpp
+index cf35545264..8519b7c89c 100644
+--- a/boost/math/special_functions/detail/bernoulli_details.hpp
++++ b/boost/math/special_functions/detail/bernoulli_details.hpp
+@@ -360,7 +360,7 @@ class bernoulli_numbers_cache
+ return out;
+ }
+
+- #ifndef BOOST_HAS_THREADS
++ #if !defined(BOOST_HAS_THREADS) || defined(BOOST_MATH_BERNOULLI_UNTHREADED)
+ //
+ // Single threaded code, very simple:
+ //
+@@ -382,6 +382,8 @@ class bernoulli_numbers_cache
+ *out = (i >= m_overflow_limit) ? policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol) : bn[i];
+ ++out;
+ }
++ #elif defined(BOOST_MATH_NO_ATOMIC_INT)
++ static_assert(sizeof(T) == 1, "Unsupported configuration: your platform appears to have no atomic integers. If you are happy with thread-unsafe code, then you may define BOOST_MATH_BERNOULLI_UNTHREADED to suppress this error.");
+ #else
+ //
+ // Double-checked locking pattern, lets us access cached already cached values
+@@ -464,7 +466,7 @@ class bernoulli_numbers_cache
+ return out;
+ }
+
+- #ifndef BOOST_HAS_THREADS
++ #if !defined(BOOST_HAS_THREADS) || defined(BOOST_MATH_BERNOULLI_UNTHREADED)
+ //
+ // Single threaded code, very simple:
+ //
+@@ -494,6 +496,8 @@ class bernoulli_numbers_cache
+ }
+ ++out;
+ }
++ #elif defined(BOOST_MATH_NO_ATOMIC_INT)
++ static_assert(sizeof(T) == 1, "Unsupported configuration: your platform appears to have no atomic integers. If you are happy with thread-unsafe code, then you may define BOOST_MATH_BERNOULLI_UNTHREADED to suppress this error.");
+ #else
+ //
+ // Double-checked locking pattern, lets us access cached already cached values
+@@ -555,7 +559,7 @@ class bernoulli_numbers_cache
+ // The value at which we know overflow has already occurred for the Bn:
+ std::size_t m_overflow_limit;
+
+- #ifdef BOOST_HAS_THREADS
++ #if defined(BOOST_HAS_THREADS) && !defined(BOOST_MATH_NO_ATOMIC_INT)
+ std::mutex m_mutex;
+ atomic_counter_type m_counter, m_current_precision;
+ #else
+diff --git a/libs/math/test/Jamfile.v2 b/libs/math/test/Jamfile.v2
+index 52fb87f5e5..3ac63f9279 100644
+--- a/libs/math/test/Jamfile.v2
++++ b/libs/math/test/Jamfile.v2
+@@ -1137,6 +1137,9 @@ test-suite misc :
+
+ # [ run __temporary_test.cpp test_instances//test_instances : : : <test-info>always_show_run_output <pch>off ]
+ [ compile test_no_long_double_policy.cpp ]
++ [ compile compile_test/bernoulli_no_atomic_d.cpp ]
++ [ compile compile_test/bernoulli_no_atomic_mp.cpp ]
++ [ compile-fail compile_test/bernoulli_no_atomic_fail.cpp ]
+ ;
+
+ test-suite interpolators :
+diff --git a/test/compile_test/bernoulli_no_atomic_d.cpp b/test/compile_test/bernoulli_no_atomic_d.cpp
+new file mode 100644
+index 0000000000..61926f7e1f
+--- /dev/null
++++ b/test/compile_test/bernoulli_no_atomic_d.cpp
+@@ -0,0 +1,14 @@
++// (C) Copyright John Maddock 2021.
++// Use, modification and distribution are subject to the
++// Boost Software License, Version 1.0. (See accompanying file
++// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
++
++#define BOOST_MATH_NO_ATOMIC_INT
++
++#include <boost/math/special_functions/bernoulli.hpp>
++#include "test_compile_result.hpp"
++
++void compile_and_link_test()
++{
++ check_result<double>(boost::math::bernoulli_b2n<double>(4));
++}
+diff --git a/test/compile_test/bernoulli_no_atomic_fail.cpp b/test/compile_test/bernoulli_no_atomic_fail.cpp
+new file mode 100644
+index 0000000000..bbd7152412
+--- /dev/null
++++ b/test/compile_test/bernoulli_no_atomic_fail.cpp
+@@ -0,0 +1,15 @@
++// (C) Copyright John Maddock 2021.
++// Use, modification and distribution are subject to the
++// Boost Software License, Version 1.0. (See accompanying file
++// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
++
++#define BOOST_MATH_NO_ATOMIC_INT
++
++#include <boost/math/special_functions/bernoulli.hpp>
++#include <boost/multiprecision/cpp_bin_float.hpp>
++#include "test_compile_result.hpp"
++
++void compile_and_link_test()
++{
++ check_result<boost::multiprecision::cpp_bin_float_50>(boost::math::bernoulli_b2n<boost::multiprecision::cpp_bin_float_50>(4));
++}
+diff --git a/test/compile_test/bernoulli_no_atomic_mp.cpp b/test/compile_test/bernoulli_no_atomic_mp.cpp
+new file mode 100644
+index 0000000000..8d5a6e78e6
+--- /dev/null
++++ b/test/compile_test/bernoulli_no_atomic_mp.cpp
+@@ -0,0 +1,16 @@
++// (C) Copyright John Maddock 2021.
++// Use, modification and distribution are subject to the
++// Boost Software License, Version 1.0. (See accompanying file
++// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
++
++#define BOOST_MATH_NO_ATOMIC_INT
++#define BOOST_MATH_BERNOULLI_UNTHREADED
++
++#include <boost/math/special_functions/bernoulli.hpp>
++#include <boost/multiprecision/cpp_bin_float.hpp>
++#include "test_compile_result.hpp"
++
++void compile_and_link_test()
++{
++ check_result<boost::multiprecision::cpp_bin_float_50>(boost::math::bernoulli_b2n<boost::multiprecision::cpp_bin_float_50>(4));
++}
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