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Fix stack overflow in cohen acceleration from GCC bug
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@@ -23,17 +23,18 @@ auto cohen_acceleration(G& generator, std::int64_t n = -1)
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using std::pow;
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using std::ceil;
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using std::sqrt;
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auto n_ = static_cast<Real>(n);
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if (n < 0)
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{
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// relative error grows as 2*5.828^-n; take 5.828^-n < eps/4 => -nln(5.828) < ln(eps/4) => n > ln(4/eps)/ln(5.828).
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// Is there a way to do it rapidly with std::log2? (Yes, of course; but for primitive types it's computed at compile-time anyway.)
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n_ = static_cast<Real>(ceil(log(4/std::numeric_limits<Real>::epsilon())*0.5672963285532555));
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n_ = static_cast<Real>(ceil(log(Real(4)/std::numeric_limits<Real>::epsilon())*Real(0.5672963285532555)));
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n = static_cast<std::int64_t>(n_);
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}
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// d can get huge and overflow if you pick n too large:
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auto d = static_cast<Real>(pow(3 + sqrt(Real(8)), n));
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d = (d + 1/d)/2;
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auto d = static_cast<Real>(pow(Real(3 + sqrt(Real(8))), n_));
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d = (d + Real(1)/d)/2;
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Real b = -1;
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Real c = -d;
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Real s = 0;
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@@ -15,6 +15,10 @@ using boost::multiprecision::float128;
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#include <boost/multiprecision/cpp_bin_float.hpp>
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#include <cmath>
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#if __has_include(<stdfloat>)
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# include <stdfloat>
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#endif
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using boost::math::tools::cohen_acceleration;
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using boost::multiprecision::cpp_bin_float_100;
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using boost::math::constants::pi;
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@@ -72,17 +76,29 @@ void test_divergent()
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int main()
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{
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#ifdef __STDCPP_FLOAT32_T__
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test_pisq_div12<std::float32_t>();
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test_divergent<std::float32_t>();
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#else
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test_pisq_div12<float>();
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test_pisq_div12<double>();
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test_pisq_div12<long double>();
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test_divergent<float>();
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#endif
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#ifdef __STDCPP_FLOAT64_T__
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test_pisq_div12<std::float64_t>();
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test_divergent<std::float64_t>();
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#else
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test_divergent<double>();
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test_pisq_div12<double>();
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#endif
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test_divergent<long double>();
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test_pisq_div12<long double>();
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#ifdef BOOST_HAS_FLOAT128
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test_pisq_div12<float128>();
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test_divergent<float128>();
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#endif
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return boost::math::test::report_errors();
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}
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