--- /dev/null
+/*
+ * Copyright Nick Thompson, 2020
+ * 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)
+ */
+
+#include "math_unit_test.hpp"
+#include <boost/math/tools/cohen_acceleration.hpp>
+#include <boost/math/constants/constants.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+using boost::math::tools::cohen_acceleration;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::constants::pi;
+
+template<typename Real>
+class G {
+public:
+ G(){
+ k_ = 0;
+ }
+
+ Real operator()() {
+ k_ += 1;
+ return 1/(k_*k_);
+ }
+
+private:
+ Real k_;
+};
+
+template<typename Real>
+void test_pisq_div12()
+{
+ auto g = G<Real>();
+ Real x = cohen_acceleration(g);
+ CHECK_ULP_CLOSE(pi<Real>()*pi<Real>()/12, x, 3);
+}
+
+template<typename Real>
+class Divergent {
+public:
+ Divergent(){
+ k_ = 0;
+ }
+
+ // See C3 of: https://people.mpim-bonn.mpg.de/zagier/files/exp-math-9/fulltext.pdf
+ Real operator()() {
+ using std::log;
+ k_ += 1;
+ return log(k_);
+ }
+
+private:
+ Real k_;
+};
+
+template<typename Real>
+void test_divergent()
+{
+ auto g = Divergent<Real>();
+ Real x = -cohen_acceleration(g);
+ CHECK_ULP_CLOSE(log(pi<Real>()/2)/2, x, 80);
+}
+
+int main()
+{
+ test_pisq_div12<float>();
+ test_pisq_div12<double>();
+ test_pisq_div12<long double>();
+
+ test_divergent<float>();
+ test_divergent<double>();
+ test_divergent<long double>();
+
+ #ifdef BOOST_HAS_FLOAT128
+ test_pisq_div12<float128>();
+ test_divergent<float128>();
+ #endif
+ return boost::math::test::report_errors();
+}