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Accepted modifications for nc close to 0
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@@ -46,8 +46,7 @@ namespace boost
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};
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template <class RealType, class Policy>
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BOOST_MATH_GPU_ENABLED RealType find_non_centrality_f(const RealType x, const RealType v1, const RealType v2, const RealType p, const RealType q, const Policy& pol)
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{
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BOOST_MATH_GPU_ENABLED RealType find_non_centrality_f(const RealType x, const RealType v1, const RealType v2, const RealType p, const RealType q, const RealType p_q_precision, const Policy& pol) {
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constexpr auto function = "non_central_f<%1%>::find_non_centrality";
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if ( p == 0 || q == 0) {
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@@ -56,17 +55,20 @@ namespace boost
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}
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// Check if nc = 0 (which is just the F-distribution)
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// I first tried comparing to boost::math::tools::epsilon<RealType>(),
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// but this was never satisfied for floats or doubles. Only
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// long doubles would correctly return 0.
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fisher_f_distribution<RealType, Policy> dist(v1, v2);
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if (boost::math::relative_difference(pdf(dist, x), p) < 1e-7){
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non_centrality_finder_f<RealType, Policy> f(x, v1, v2, p < q ? p : q, p < q ? false : true);
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// This occurs when the root finder would need to find a result smaller than
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// tools::min_value (which it cannot do). Note that we have to add in a small
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// amount of "tolerance" since the subtraction in our termination condition
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// implies a small amount of wobble in the result which should be of the
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// order p * eps (note not q * eps, since q is calculated as 1-p).
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// Also note that p_q_precision is passed down from our caller as the
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// epsilon of the original called values, and not after possible promotion.
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if (f(tools::min_value<RealType>()) <= 3 * p_q_precision * p){
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return 0;
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}
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non_centrality_finder_f<RealType, Policy> f(x, v1, v2, p < q ? p : q, p < q ? false : true);
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RealType guess = RealType(10); // Starting guess.
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RealType factor = RealType(2); // How big steps to take when searching.
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RealType factor = RealType(2); // How big steps to take when searching.
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boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>();
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tools::eps_tolerance<RealType> tol(policies::digits<RealType, Policy>());
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@@ -134,6 +136,7 @@ namespace boost
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static_cast<eval_type>(v2),
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static_cast<eval_type>(p),
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static_cast<eval_type>(1-p),
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static_cast<eval_type>(tools::epsilon<RealType>()),
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forwarding_policy());
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return policies::checked_narrowing_cast<RealType, forwarding_policy>(
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result,
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@@ -156,6 +159,7 @@ namespace boost
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static_cast<eval_type>(c.param2),
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static_cast<eval_type>(1-c.param3),
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static_cast<eval_type>(c.param3),
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static_cast<eval_type>(tools::epsilon<RealType>()),
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forwarding_policy());
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return policies::checked_narrowing_cast<RealType, forwarding_policy>(
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result,
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@@ -159,12 +159,10 @@ void test_spot(
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}
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template <class RealType> // Any floating-point type RealType.
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void test_spots(RealType)
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void test_spots(RealType, const char* name = nullptr)
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{
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RealType tolerance = boost::math::tools::epsilon<RealType>() * 10000;
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cout << "Tolerance = " << (tolerance / 100) << "%." << endl;
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std::cout << "Testing spot values with type " << name << " (Tolerance = " << (tolerance / 100) << "%)." << std::endl;
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//
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// Spot tests from Mathematica computed values:
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//
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@@ -337,8 +335,8 @@ void test_spots(RealType)
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boost::math::non_central_f_distribution<RealType> dist_no_centrality(a, b, nc);
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for (RealType x : x_vals)
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{
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RealType P = pdf(dist_no_centrality, x);
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BOOST_CHECK_CLOSE(dist.find_non_centrality(x, a, b, P), static_cast<RealType>(0), tolerance);
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RealType P = cdf(dist_no_centrality, x);
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BOOST_CHECK(dist.find_non_centrality(x, a, b, P) < tolerance);
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}
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// Case when P=1 or P=0
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BOOST_MATH_CHECK_THROW(dist.find_non_centrality(x, a, b, 1), std::domain_error);
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@@ -354,12 +352,12 @@ BOOST_AUTO_TEST_CASE( test_main )
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// Basic sanity-check spot values.
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expected_results();
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// (Parameter value, arbitrarily zero, only communicates the floating point type).
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test_spots(0.0F); // Test float.
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test_spots(0.0); // Test double.
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test_spots(0.0F, "float"); // Test float.
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test_spots(0.0, "double"); // Test double.
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_spots(0.0L); // Test long double.
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test_spots(0.0L, "long double"); // Test long double.
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#if !BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x582)) && !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS)
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test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
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test_spots(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
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#endif
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#endif
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