Imported from /home/lorry/working-area/delta_boost-tarball/boost_1_58_0.tar.bz2.HEADboost_1_58_0master

83 files changed, 48101 insertions, 77 deletions

diff --git a/libs/math/test/Jamfile.v2 b/libs/math/test/Jamfile.v2
index 131943151..6a3233b73 100644
--- a/libs/math/test/Jamfile.v2
+++ b/libs/math/test/Jamfile.v2
@@ -93,6 +93,7 @@ run log1p_expm1_test.cpp test_instances//test_instances pch_light ../../test/bui
 run powm1_sqrtp1m1_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
 run special_functions_test.cpp ../../test/build//boost_unit_test_framework ;
 run test_airy.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
+run test_arcsine.cpp pch ../../test/build//boost_unit_test_framework ;
 run test_bernoulli.cpp ../../test/build//boost_unit_test_framework ;
 run test_constants.cpp ../../test/build//boost_unit_test_framework ;
 run test_print_info_on_type.cpp ;
@@ -197,6 +198,9 @@ run test_dist_overloads.cpp ../../test/build//boost_unit_test_framework ;
 run test_ellint_1.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
 run test_ellint_2.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
 run test_ellint_3.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
+run test_ellint_d.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
+run test_jacobi_zeta.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
+run test_heuman_lambda.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
 run test_erf.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
 run test_error_handling.cpp ../../test/build//boost_unit_test_framework ;
 run test_expint.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
@@ -603,6 +607,8 @@ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
 run test_normal.cpp pch ../../test/build//boost_unit_test_framework ;
 run test_owens_t.cpp ../../test/build//boost_unit_test_framework ;
 run test_pareto.cpp ../../test/build//boost_unit_test_framework ;
+run test_polygamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
+run test_trigamma.cpp test_instances//test_instances ../../test/build//boost_unit_test_framework ;
 run test_poisson.cpp ../../test/build//boost_unit_test_framework
         : # command line
         : # input files
@@ -666,6 +672,7 @@ run test_skew_normal.cpp ../../test/build//boost_unit_test_framework ;
 run test_tgamma_ratio.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
 run test_toms748_solve.cpp pch ../../test/build//boost_unit_test_framework ;
 run test_triangular.cpp pch ../../test/build//boost_unit_test_framework ;
+run test_trig.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ;
 run test_uniform.cpp pch ../../test/build//boost_unit_test_framework ;
 run test_weibull.cpp ../../test/build//boost_unit_test_framework ;
 run test_zeta.cpp ../../test/build//boost_unit_test_framework test_instances//test_instances pch_light ;
@@ -772,13 +779,18 @@ run  compile_test/sf_binomial_incl_test.cpp compile_test_main ;
 run  compile_test/sf_cbrt_incl_test.cpp compile_test_main ;
 run  compile_test/sf_cos_pi_incl_test.cpp compile_test_main ;
 run  compile_test/sf_digamma_incl_test.cpp compile_test_main ;
+run  compile_test/sf_polygamma_incl_test.cpp compile_test_main ;
 run  compile_test/sf_ellint_1_incl_test.cpp compile_test_main ;
 run  compile_test/sf_ellint_2_incl_test.cpp compile_test_main ;
 run  compile_test/sf_ellint_3_incl_test.cpp compile_test_main ;
+run  compile_test/sf_ellint_d_incl_test.cpp compile_test_main ;
+run  compile_test/sf_jacobi_zeta_incl_test.cpp compile_test_main ;
+run  compile_test/sf_heuman_lambda_incl_test.cpp compile_test_main ;
 run  compile_test/sf_ellint_rc_incl_test.cpp compile_test_main ;
 run  compile_test/sf_ellint_rd_incl_test.cpp compile_test_main ;
 run  compile_test/sf_ellint_rf_incl_test.cpp compile_test_main ;
 run  compile_test/sf_ellint_rj_incl_test.cpp compile_test_main ;
+run  compile_test/sf_ellint_rg_incl_test.cpp compile_test_main ;
 run  compile_test/sf_erf_incl_test.cpp compile_test_main ;
 run  compile_test/sf_expint_incl_test.cpp compile_test_main ;
 run  compile_test/sf_expm1_incl_test.cpp compile_test_main ;
diff --git a/libs/math/test/compile_test/instantiate.hpp b/libs/math/test/compile_test/instantiate.hpp
index c6a9d5a7e..56fc59329 100644
--- a/libs/math/test/compile_test/instantiate.hpp
+++ b/libs/math/test/compile_test/instantiate.hpp
@@ -55,6 +55,7 @@ void instantiate(RealType)
    using namespace boost::math;
    using namespace boost::math::concepts;
 #ifdef TEST_GROUP_1
+   function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
    function_requires<DistributionConcept<bernoulli_distribution<RealType> > >();
    function_requires<DistributionConcept<beta_distribution<RealType> > >();
    function_requires<DistributionConcept<binomial_distribution<RealType> > >();
@@ -90,6 +91,7 @@ void instantiate(RealType)
 #endif
 #ifndef BOOST_MATH_INSTANTIATE_MINIMUM
 #ifdef TEST_GROUP_2
+   function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
    function_requires<DistributionConcept<bernoulli_distribution<RealType, test_policy> > >();
    function_requires<DistributionConcept<beta_distribution<RealType, test_policy> > >();
    function_requires<DistributionConcept<binomial_distribution<RealType, test_policy> > >();
@@ -123,6 +125,7 @@ void instantiate(RealType)
    function_requires<DistributionConcept<weibull_distribution<RealType, test_policy> > >();
 #endif
 #ifdef TEST_GROUP_3
+   function_requires<DistributionConcept<dist_test::arcsine > >();
    function_requires<DistributionConcept<dist_test::bernoulli > >();
    function_requires<DistributionConcept<dist_test::beta > >();
    function_requires<DistributionConcept<dist_test::binomial > >();
@@ -166,6 +169,8 @@ void instantiate(RealType)
    boost::math::lgamma(v1);
    boost::math::lgamma(v1, &i);
    boost::math::digamma(v1);
+   boost::math::trigamma(v1);
+   boost::math::polygamma(i, v1);
    boost::math::tgamma_ratio(v1, v2);
    boost::math::tgamma_delta_ratio(v1, v2);
    boost::math::factorial<RealType>(i);
@@ -199,6 +204,7 @@ void instantiate(RealType)
    boost::math::ibetac_invb(v1, v2, v3);
    boost::math::gamma_p_derivative(v2, v3);
    boost::math::ibeta_derivative(v1, v2, v3);
+   boost::math::binomial_coefficient<RealType>(i, i);
    (boost::math::fpclassify)(v1);
    (boost::math::isfinite)(v1);
    (boost::math::isnormal)(v1);
@@ -233,9 +239,14 @@ void instantiate(RealType)
    boost::math::ellint_2(v1, v2);
    boost::math::ellint_3(v1, v2);
    boost::math::ellint_3(v1, v2, v3);
+   boost::math::ellint_d(v1);
+   boost::math::ellint_d(v1, v2);
+   boost::math::jacobi_zeta(v1, v2);
+   boost::math::heuman_lambda(v1, v2);
    boost::math::ellint_rc(v1, v2);
    boost::math::ellint_rd(v1, v2, v3);
    boost::math::ellint_rf(v1, v2, v3);
+   boost::math::ellint_rg(v1, v2, v3);
    boost::math::ellint_rj(v1, v2, v3, v1);
    boost::math::jacobi_elliptic(v1, v2, &v1, &v2);
    boost::math::jacobi_cd(v1, v2);
@@ -351,6 +362,8 @@ void instantiate(RealType)
    boost::math::lgamma(v1 * 1);
    boost::math::lgamma(v1 * 1, &i);
    boost::math::digamma(v1 * 1);
+   boost::math::trigamma(v1 * 1);
+   boost::math::polygamma(i, v1 * 1);
    boost::math::tgamma_ratio(v1 * 1, v2 + 0);
    boost::math::tgamma_delta_ratio(v1 * 1, v2 + 0);
    boost::math::factorial<RealType>(i);
@@ -421,7 +434,12 @@ void instantiate(RealType)
    boost::math::ellint_rc(v1 * 1, v2 + 0);
    boost::math::ellint_rd(v1 * 1, v2 + 0, v3 / 1);
    boost::math::ellint_rf(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rg(v1 * 1, v2 + 0, v3 / 1);
    boost::math::ellint_rj(v1 * 1, v2 + 0, v3 / 1, v1 * 1);
+   boost::math::ellint_d(v1 * 1);
+   boost::math::ellint_d(v1 * 1, v2 + 0);
+   boost::math::jacobi_zeta(v1 * 1, v2 + 0);
+   boost::math::heuman_lambda(v1 * 1, v2 + 0);
    boost::math::jacobi_elliptic(v1 * 1, v2 + 0, &v1, &v2);
    boost::math::jacobi_cd(v1 * 1, v2 + 0);
    boost::math::jacobi_cn(v1 * 1, v2 + 0);
@@ -525,6 +543,8 @@ void instantiate(RealType)
    boost::math::lgamma(v1, pol);
    boost::math::lgamma(v1, &i, pol);
    boost::math::digamma(v1, pol);
+   boost::math::trigamma(v1, pol);
+   boost::math::polygamma(i, v1, pol);
    boost::math::tgamma_ratio(v1, v2, pol);
    boost::math::tgamma_delta_ratio(v1, v2, pol);
    boost::math::factorial<RealType>(i, pol);
@@ -558,6 +578,7 @@ void instantiate(RealType)
    boost::math::ibetac_invb(v1, v2, v3, pol);
    boost::math::gamma_p_derivative(v2, v3, pol);
    boost::math::ibeta_derivative(v1, v2, v3, pol);
+   boost::math::binomial_coefficient<RealType>(i, i, pol);
    boost::math::log1p(v1, pol);
    boost::math::expm1(v1, pol);
    boost::math::cbrt(v1, pol);
@@ -582,9 +603,14 @@ void instantiate(RealType)
    boost::math::ellint_2(v1, v2, pol);
    boost::math::ellint_3(v1, v2, pol);
    boost::math::ellint_3(v1, v2, v3, pol);
+   boost::math::ellint_d(v1, pol);
+   boost::math::ellint_d(v1, v2, pol);
+   boost::math::jacobi_zeta(v1, v2, pol);
+   boost::math::heuman_lambda(v1, v2, pol);
    boost::math::ellint_rc(v1, v2, pol);
    boost::math::ellint_rd(v1, v2, v3, pol);
    boost::math::ellint_rf(v1, v2, v3, pol);
+   boost::math::ellint_rg(v1, v2, v3, pol);
    boost::math::ellint_rj(v1, v2, v3, v1, pol);
    boost::math::jacobi_elliptic(v1, v2, &v1, &v2, pol);
    boost::math::jacobi_cd(v1, v2, pol);
@@ -702,6 +728,8 @@ void instantiate(RealType)
    test::lgamma(v1);
    test::lgamma(v1, &i);
    test::digamma(v1);
+   test::trigamma(v1);
+   test::polygamma(i, v1);
    test::tgamma_ratio(v1, v2);
    test::tgamma_delta_ratio(v1, v2);
    test::factorial<RealType>(i);
@@ -735,6 +763,7 @@ void instantiate(RealType)
    test::ibetac_invb(v1, v2, v3);
    test::gamma_p_derivative(v2, v3);
    test::ibeta_derivative(v1, v2, v3);
+   test::binomial_coefficient<RealType>(i, i);
    (test::fpclassify)(v1);
    (test::isfinite)(v1);
    (test::isnormal)(v1);
@@ -768,9 +797,14 @@ void instantiate(RealType)
    test::ellint_2(v1, v2);
    test::ellint_3(v1, v2);
    test::ellint_3(v1, v2, v3);
+   test::ellint_d(v1);
+   test::ellint_d(v1, v2);
+   test::jacobi_zeta(v1, v2);
+   test::heuman_lambda(v1, v2);
    test::ellint_rc(v1, v2);
    test::ellint_rd(v1, v2, v3);
    test::ellint_rf(v1, v2, v3);
+   test::ellint_rg(v1, v2, v3);
    test::ellint_rj(v1, v2, v3, v1);
    test::jacobi_elliptic(v1, v2, &v1, &v2);
    test::jacobi_cd(v1, v2);
@@ -893,6 +927,8 @@ void instantiate_mixed(RealType)
    boost::math::lgamma(i);
    boost::math::lgamma(i, &i);
    boost::math::digamma(i);
+   boost::math::trigamma(i);
+   boost::math::polygamma(i, i);
    boost::math::tgamma_ratio(i, l);
    boost::math::tgamma_ratio(fr, lr);
    boost::math::tgamma_delta_ratio(i, s);
@@ -971,12 +1007,21 @@ void instantiate_mixed(RealType)
    boost::math::ellint_3(fr, lr);
    boost::math::ellint_3(s, l, i);
    boost::math::ellint_3(fr, dr, lr);
+   boost::math::ellint_d(i);
+   boost::math::ellint_d(i, l);
+   boost::math::ellint_d(fr, lr);
+   boost::math::jacobi_zeta(i, l);
+   boost::math::jacobi_zeta(fr, lr);
+   boost::math::heuman_lambda(i, l);
+   boost::math::heuman_lambda(fr, lr);
    boost::math::ellint_rc(i, s);
    boost::math::ellint_rc(fr, lr);
    boost::math::ellint_rd(s, i, l);
    boost::math::ellint_rd(fr, lr, dr);
    boost::math::ellint_rf(s, l, i);
    boost::math::ellint_rf(fr, dr, lr);
+   boost::math::ellint_rg(s, l, i);
+   boost::math::ellint_rg(fr, dr, lr);
    boost::math::ellint_rj(i, i, s, l);
    boost::math::ellint_rj(i, fr, dr, lr);
    boost::math::jacobi_cd(i, fr);
@@ -1035,6 +1080,8 @@ void instantiate_mixed(RealType)
    boost::math::lgamma(i, pol);
    boost::math::lgamma(i, &i, pol);
    boost::math::digamma(i, pol);
+   boost::math::trigamma(i, pol);
+   boost::math::polygamma(i, i, pol);
    boost::math::tgamma_ratio(i, l, pol);
    boost::math::tgamma_ratio(fr, lr, pol);
    boost::math::tgamma_delta_ratio(i, s, pol);
@@ -1108,12 +1155,21 @@ void instantiate_mixed(RealType)
    boost::math::ellint_3(fr, lr, pol);
    boost::math::ellint_3(s, l, i, pol);
    boost::math::ellint_3(fr, dr, lr, pol);
+   boost::math::ellint_d(i, pol);
+   boost::math::ellint_d(i, l, pol);
+   boost::math::ellint_d(fr, lr, pol);
+   boost::math::jacobi_zeta(i, l, pol);
+   boost::math::jacobi_zeta(fr, lr, pol);
+   boost::math::heuman_lambda(i, l, pol);
+   boost::math::heuman_lambda(fr, lr, pol);
    boost::math::ellint_rc(i, s, pol);
    boost::math::ellint_rc(fr, lr, pol);
    boost::math::ellint_rd(s, i, l, pol);
    boost::math::ellint_rd(fr, lr, dr, pol);
    boost::math::ellint_rf(s, l, i, pol);
    boost::math::ellint_rf(fr, dr, lr, pol);
+   boost::math::ellint_rg(s, l, i, pol);
+   boost::math::ellint_rg(fr, dr, lr, pol);
    boost::math::ellint_rj(i, i, s, l, pol);
    boost::math::ellint_rj(i, fr, dr, lr, pol);
    boost::math::jacobi_cd(i, fr, pol);
@@ -1170,6 +1226,8 @@ void instantiate_mixed(RealType)
    test::lgamma(i);
    test::lgamma(i, &i);
    test::digamma(i);
+   test::trigamma(i);
+   test::polygamma(i, i);
    test::tgamma_ratio(i, l);
    test::tgamma_ratio(fr, lr);
    test::tgamma_delta_ratio(i, s);
@@ -1248,12 +1306,21 @@ void instantiate_mixed(RealType)
    test::ellint_3(fr, lr);
    test::ellint_3(s, l, i);
    test::ellint_3(fr, dr, lr);
+   test::ellint_d(i);
+   test::ellint_d(i, l);
+   test::ellint_d(fr, lr);
+   test::jacobi_zeta(i, l);
+   test::jacobi_zeta(fr, lr);
+   test::heuman_lambda(i, l);
+   test::heuman_lambda(fr, lr);
    test::ellint_rc(i, s);
    test::ellint_rc(fr, lr);
    test::ellint_rd(s, i, l);
    test::ellint_rd(fr, lr, dr);
    test::ellint_rf(s, l, i);
    test::ellint_rf(fr, dr, lr);
+   test::ellint_rg(s, l, i);
+   test::ellint_rg(fr, dr, lr);
    test::ellint_rj(i, i, s, l);
    test::ellint_rj(i, fr, dr, lr);
    test::hypot(i, s);
diff --git a/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp b/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp
new file mode 100644
index 000000000..c7c4249a5
--- /dev/null
+++ b/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  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)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_d.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_d<float>(f, f));
+   check_result<double>(boost::math::ellint_d<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_d<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_d<float>(f));
+   check_result<double>(boost::math::ellint_d<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_d<long double>(l));
+#endif
+}
diff --git a/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp b/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp
new file mode 100644
index 000000000..fed70d95a
--- /dev/null
+++ b/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  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)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rg.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rg<float>(f, f, f));
+   check_result<double>(boost::math::ellint_rg<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rg<long double>(l, l, l));
+#endif
+}
diff --git a/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp b/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp
new file mode 100644
index 000000000..4ed1245d9
--- /dev/null
+++ b/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2015.
+//  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)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/heuman_lambda.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::heuman_lambda<float>(f, f));
+   check_result<double>(boost::math::heuman_lambda<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::heuman_lambda<long double>(l, l));
+#endif
+}
diff --git a/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp b/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp
new file mode 100644
index 000000000..78dcd2883
--- /dev/null
+++ b/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  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)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::jacobi_zeta<float>(f, f));
+   check_result<double>(boost::math::jacobi_zeta<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_zeta<long double>(l, l));
+#endif
+}
diff --git a/libs/math/test/compile_test/sf_polygamma_incl_test.cpp b/libs/math/test/compile_test/sf_polygamma_incl_test.cpp
new file mode 100644
index 000000000..883644993
--- /dev/null
+++ b/libs/math/test/compile_test/sf_polygamma_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  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)
+//
+// Basic sanity check that header <boost/math/special_functions/digamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/polygamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::trigamma<float>(f));
+   check_result<double>(boost::math::trigamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::trigamma<long double>(l));
+#endif
+   check_result<float>(boost::math::polygamma<float>(1, f));
+   check_result<double>(boost::math::polygamma<double>(1, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::polygamma<long double>(1, l));
+#endif
+}
diff --git a/libs/math/test/ellint_d2_data.ipp b/libs/math/test/ellint_d2_data.ipp
new file mode 100644
index 000000000..87f03d0e7
--- /dev/null
+++ b/libs/math/test/ellint_d2_data.ipp
@@ -0,0 +1,907 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 900> ellint_d2_data = {{
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(-7.8732233320862771639280819567039935203140e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(-7.8732233320862771686912327739413416253147e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(-7.8732233320862773040094892394481766236413e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(-7.8732233320862777061962311270009485876061e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(-7.8732233320862779863639076277990913817347e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(-7.8732233320862872988029644567747349940542e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(-7.8732233320863154738199654417598345858119e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(-7.8732233320863395751553299211683365778187e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(-7.8732233320867233837916108266938568745684e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(-7.8732233320874234918936314457509845665294e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(-7.8732233320895048075961800643068367799212e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(-7.8732233321119343970604024759286096900163e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(-7.8732233321563526074010427269286136824309e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(-7.8732233323284567598867407494011434890031e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(-7.8732233337276210668971915341274684374079e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(-7.8732233429833165735721604834460196035801e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(-7.8732233741407456045279716007492903731599e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(-7.8732235070659049826721771893117827793630e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(-7.8732240100423384592953702904358834225824e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(-7.8732260516631005030439216215704935088944e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(-7.8732270971523503035692113472253819905238e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(-7.8732568061991404297875494369487831261691e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(-7.8733979043836641416900536713300906266451e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(-7.8739291742767640768396325723497092471770e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(-7.8759800674545974072460670879983596961217e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(-7.8767699111095026342327081674718259137011e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(-7.8987518284015183880900122991006802628935e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(-8.0269335104926377301523131658299640546457e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(-8.5588199641614171029457261894174425351056e+00) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(-9.5887811073974781509819096986492335481206e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(-7.8536241199028447606481998927044443242379e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(-7.8536241199028447654099849623516320011347e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(-7.8536241199028449006894413583742788397395e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(-7.8536241199028453027608634514037298550959e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(-7.8536241199028455828482069239809137416614e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(-7.8536241199028548926170898096177741594499e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(-7.8536241199028830595554128252702619975820e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(-7.8536241199029071539801540729799856204226e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(-7.8536241199032908525662307761981174553050e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(-7.8536241199039907599248800693073983096345e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(-7.8536241199060714788476889345835975984184e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(-7.8536241199284946370316654999062188570463e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(-7.8536241199729001112516035986060087500198e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(-7.8536241201449549159755952954844380731418e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(-7.8536241215437180378560362500270281262505e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(-7.8536241307967596407834421160003079781623e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(-7.8536241619452548409979926475368621989964e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(-7.8536242948323003286224053216988930855360e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(-7.8536247976645144073074634875862774201818e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(-7.8536268386998788888163134075555165329902e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(-7.8536278838893538639749223653894915438564e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(-7.8536575844176695397200882069513152446755e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(-7.8537986421463962560905822510139694445886e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(-7.8543297597323325872109401753579247969996e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(-7.8563800652314045417041971119076973697391e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(-7.8571696826777312655783430985032793792979e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(-7.8791453309455206534625742760243878333456e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(-8.0072914547270791783894707537478515443766e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(-8.5390468871174588968639414462701177158352e+00) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(-9.5688145028458733856391297589630554846530e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(-7.7102621318769358264739783085513078293889e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(-7.7102621318769358311993590729545391429197e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(-7.7102621318769359654445910023440919141982e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(-7.7102621318769363644421383686356634809673e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(-7.7102621318769366423881871381530928899883e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(-7.7102621318769458809829907223976255767943e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(-7.7102621318769738325823588081245354455570e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(-7.7102621318769977428029034932844577690519e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(-7.7102621318773785079763534386826099350523e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(-7.7102621318780730644758702671802704488329e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(-7.7102621318801378761022168032640838679766e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(-7.7102621319023896070833438532787883699985e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(-7.7102621319464555971782442247198224367950e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(-7.7102621321171950263575573833198327101993e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(-7.7102621335052644695236604237289890089459e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(-7.7102621426875656787710284416390204758535e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(-7.7102621735979276362111335756488617977164e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(-7.7102623054690388950764205048412191505629e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(-7.7102628044570526819692418206682410496465e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(-7.7102648298885116186371641831182360345320e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(-7.7102658670874185956042983530400239829324e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(-7.7102953405533400853077762376104308709146e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(-7.7104353199087876812582449742221819385682e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(-7.7109623774740450993192262713892694954824e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(-7.7129970146325284312779421824832442487961e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(-7.7137805998934622811549718993117638856182e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(-7.7355888210879261554101998085280228338561e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(-7.8627758733978314803431883871461063199135e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(-8.3908511887010372723798772317091543918816e+00) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(-9.4147063108553474119210040066897994009155e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(-7.4843358701527580172845015870458159082054e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(-7.4843358701527580218860947325637098834597e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(-7.4843358701527581526145946913926492867230e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(-7.4843358701527585411598719037889251845575e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(-7.4843358701527588118247551395249560408089e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(-7.4843358701527678084023098287860445435286e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(-7.4843358701527950277724455366228449083870e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(-7.4843358701528183116330383325659932075236e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(-7.4843358701531891021575603237175019732930e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(-7.4843358701538654638280161387317720014659e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(-7.4843358701558761849741631524859419522404e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(-7.4843358701775450023380474041909082058583e+00) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(-7.4843358702204566253544797834078975607066e+00) }, 
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+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(9.7037884642007411742909681304118303685862e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.7037885022586433476630918901822530697264e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.7037886646228970182664942687338933229896e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.7037892789941232733647420257807653452696e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.7037917727750709683579317258388292040361e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.7037930498100669383100334038643335965433e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.7038293385532813090566554404190669072476e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.7040016858748458327704247706248667993220e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.7046506159993990770373472738156154701166e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.7071557115847027366419558336421844257613e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.7081204748947710715456692851594495500141e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.7349697316093177706242812847197284550031e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.8915033186482039632092471512404270101860e+00) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0540483903359546719391352849008609099627e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1794772549994821404136319306287886692241e+01) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_d_data.ipp b/libs/math/test/ellint_d_data.ipp
new file mode 100644
index 000000000..d26d0b7bf
--- /dev/null
+++ b/libs/math/test/ellint_d_data.ipp
@@ -0,0 +1,132 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 2>, 125> ellint_d_data = {{
+      { SC_(4.2663944255221095139880438282681452852288e-38), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(5.3389875064733255949510523157465792097624e-38), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.7921979577002392819066727539424713436648e-37), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(3.4512676287190265187195015459442674743531e-37), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(4.2392520589952778292218109035283862521189e-37), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.4812114889405784468736366861690401420283e-36), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.8789280101828269933933538688473339212905e-36), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(3.6744156874811116796026560527902602218215e-36), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(9.8244035367228782653000869911025384279908e-36), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.5746487252952314973384428880024117913426e-35), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.6422323503289224196086060608918729266077e-35), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(7.4495944292904732914191517413498144464379e-35), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.2311489573814341319544204090949106338265e-34), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.2887398472838038330057192707706355128408e-34), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(5.9583696426770119981069373748330312185926e-34), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.5352599070212180792552619578916321967917e-33), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(3.0160165490986222703441684853142834449242e-33), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(6.1520716425673394852833344239683595628531e-33), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.2109560766507188663653833967088977743043e-32), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.4253710454287323137229648006785720065155e-32), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.8537358805477591602206220040490736095836e-32), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(8.5090415533424860056332294220983720100606e-32), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.9431542280109646674527422453175374400060e-31), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(3.9070498187433184335260912530870539605481e-31), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(7.7196613617370549464919805877629024811367e-31), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(8.7552624808566836627123737271634031453295e-31), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.3435091721496148991987689601065306730589e-30), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(5.6738212134529469261911252184933164143771e-30), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.1361364677759652907835274279827550435899e-29), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.6370813787404687038594586907284681504629e-29), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.8825261069960082390223924268185054462807e-29), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(5.0728585475046610081875684612374186273238e-29), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.4356117731880643485071258941326014885980e-28), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.2466040208825159779152839659481167643203e-28), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(7.7375930334108261164074603103938929758309e-28), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.3245902896893982860544095592466306731181e-27), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.8954669599230807832089351330086677837889e-27), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(6.0695358641133080853435831456269630175939e-27), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.2662921591612033303141027402072318129946e-26), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.9434383424000668877278074713436137825997e-26), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(4.2799894931798877068802524474594217761617e-26), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(9.2950716253189888176477484235223083743234e-26), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.0709003725124171036710703499069275834027e-25), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.8150895833264416782020239716398867999003e-25), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(7.6478191216527194631629231548823578349522e-25), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.0024800996198830867522948962542556853444e-24), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(3.1995228016850816982979054181734511648483e-24), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(5.5631512332580644253218241905448258194378e-24), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.1108934904826783054735703764996385817243e-23), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.8512148375723549892841487890862966353422e-23), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(4.6526990946386309210805977605064642776966e-23), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(9.2149101636498941967954712901293229387889e-23), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.8456129154033271225706145892602252911452e-22), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(3.1229228616207472188092879674965046676860e-22), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(5.8963094078559887344396375579401448074890e-22), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(1.2045551098426373231005604346952053695929e-21), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(2.8044880122014168411000568752189376908746e-21), SC_(7.8539816339744830961566084581987572104929e-01) }, 
+      { SC_(3.9772087853642667934593991994202122342017e-21), SC_(7.8539816339744830961566084581987572104930e-01) }, 
+      { SC_(7.9362680648663837570369519042179362600109e-21), SC_(7.8539816339744830961566084581987572104931e-01) }, 
+      { SC_(1.7644208367805034671488132770600376630910e-20), SC_(7.8539816339744830961566084581987572104938e-01) }, 
+      { SC_(4.6242472319617178596977673937784558688691e-20), SC_(7.8539816339744830961566084581987572104992e-01) }, 
+      { SC_(9.7430735069871336508356019640020306837869e-20), SC_(7.8539816339744830961566084581987572105209e-01) }, 
+      { SC_(1.1187152495685138224568687392856958240372e-19), SC_(7.8539816339744830961566084581987572105298e-01) }, 
+      { SC_(2.8548132929282309106075107840716498230904e-19), SC_(7.8539816339744830961566084581987572107330e-01) }, 
+      { SC_(5.5377694738409134089145505197571139888169e-19), SC_(7.8539816339744830961566084581987572113961e-01) }, 
+      { SC_(1.6240731797968136883997258834710919472855e-18), SC_(7.8539816339744830961566084581987572182613e-01) }, 
+      { SC_(1.8148177203290916581143732422276571014663e-18), SC_(7.8539816339744830961566084581987572201933e-01) }, 
+      { SC_(3.9867888681014291814633243582477462041425e-18), SC_(7.8539816339744830961566084581987572573060e-01) }, 
+      { SC_(7.6128806670154353271329217278662326862104e-18), SC_(7.8539816339744830961566084581987573811873e-01) }, 
+      { SC_(2.7673254601067636196387589109235705109313e-17), SC_(7.8539816339744830961566084581987594659867e-01) }, 
+      { SC_(5.0611118570950902953442529508265579352155e-17), SC_(7.8539816339744830961566084581987647546899e-01) }, 
+      { SC_(1.0113594566040027405984247366177442017943e-16), SC_(7.8539816339744830961566084581987873358517e-01) }, 
+      { SC_(1.8816376349089212506593415952238501631655e-16), SC_(7.8539816339744830961566084581988614885980e-01) }, 
+      { SC_(2.4984073224301002122405002126015460817143e-16), SC_(7.8539816339744830961566084581989410537210e-01) }, 
+      { SC_(5.8490949612227411541498511837744445074350e-16), SC_(7.8539816339744830961566084581997648344709e-01) }, 
+      { SC_(1.5665247555087316588817714091419475153089e-15), SC_(7.8539816339744830961566084582059848365309e-01) }, 
+      { SC_(3.4642902153707300083596010153996758162975e-15), SC_(7.8539816339744830961566084582341039763841e-01) }, 
+      { SC_(5.2956347396408351424490490444441093131900e-15), SC_(7.8539816339744830961566084582813528640710e-01) }, 
+      { SC_(7.3501792217760264502857125989976339042187e-15), SC_(7.8539816339744830961566084583578743660656e-01) }, 
+      { SC_(2.3641251987744499318822022360109258443117e-14), SC_(7.8539816339744830961566084598448794912308e-01) }, 
+      { SC_(4.0891565849555944200943713440210558474064e-14), SC_(7.8539816339744830961566084631235575884229e-01) }, 
+      { SC_(6.3999803720515835436799534363672137260437e-14), SC_(7.8539816339744830961566084702623990047689e-01) }, 
+      { SC_(1.5706500770124032229091426415834575891495e-13), SC_(7.8539816339744830961566085308561866771197e-01) }, 
+      { SC_(2.7516964401508303694754431489855051040649e-13), SC_(7.8539816339744830961566086812076559497826e-01) }, 
+      { SC_(8.0286406863028236813306648400612175464630e-13), SC_(7.8539816339744830961566103566751143194592e-01) }, 
+      { SC_(9.5607549654985746201418805867433547973633e-13), SC_(7.8539816339744830961566111503876275690977e-01) }, 
+      { SC_(3.2654495427109075933458370855078101158142e-12), SC_(7.8539816339744830961566398637994160269438e-01) }, 
+      { SC_(3.7705498445728125034293043427169322967529e-12), SC_(7.8539816339744830961566503308559563078309e-01) }, 
+      { SC_(8.6356338746540473039203789085149765014648e-12), SC_(7.8539816339744830961568280972664569106292e-01) }, 
+      { SC_(2.0499733854872914662337279878556728363037e-11), SC_(7.8539816339744830961578461644787487937290e-01) }, 
+      { SC_(4.3357845092018010291212704032659530639648e-11), SC_(7.8539816339744830961621452287699258957483e-01) }, 
+      { SC_(8.4866141891737356672820169478654861450195e-11), SC_(7.8539816339744830961778208708670070856342e-01) }, 
+      { SC_(1.6828838322879846600699238479137420654297e-10), SC_(7.8539816339744830962400206292829514799691e-01) }, 
+      { SC_(3.4635161405560666025849059224128723144531e-10), SC_(7.8539816339744830965099181743131229916707e-01) }, 
+      { SC_(7.6662409753680549329146742820739746093750e-10), SC_(7.8539816339744830978875646714884389088037e-01) }, 
+      { SC_(1.6707693006878798769321292638778686523438e-09), SC_(7.8539816339744831043781664154104751347691e-01) }, 
+      { SC_(3.1839402225841695326380431652069091796875e-09), SC_(7.8539816339744831260139378868235385099709e-01) }, 
+      { SC_(7.1558154957074293633922934532165527343750e-09), SC_(7.8539816339744832469698301934815598111797e-01) }, 
+      { SC_(1.3073432114651950541883707046508789062500e-08), SC_(7.8539816339744835995417372517470884284573e-01) }, 
+      { SC_(2.6934309005355316912755370140075683593750e-08), SC_(7.8539816339744852328038459980382086592019e-01) }, 
+      { SC_(3.8028503013265435583889484405517578125000e-08), SC_(7.8539816339744873554701271019341983929008e-01) }, 
+      { SC_(1.0167207165068248286843299865722656250000e-07), SC_(7.8539816339745135417536187160390378310224e-01) }, 
+      { SC_(2.0023617253173142671585083007812500000000e-07), SC_(7.8539816339746011842796052724712271644288e-01) }, 
+      { SC_(2.3909046831249725073575973510742187500000e-07), SC_(7.8539816339746514587762180156897968778888e-01) }, 
+      { SC_(7.8921220847405493259429931640625000000000e-07), SC_(7.8539816339763175582357795854647957600375e-01) }, 
+      { SC_(1.6314543245243839919567108154296875000000e-06), SC_(7.8539816339823222824983094934352376998761e-01) }, 
+      { SC_(2.2175054255058057606220245361328125000000e-06), SC_(7.8539816339889658293915756912068980593900e-01) }, 
+      { SC_(6.2712133512832224369049072265625000000000e-06), SC_(7.8539816340903139615883171176820699840499e-01) }, 
+      { SC_(8.5372739704325795173645019531250000000000e-06), SC_(7.8539816341891472784119968987727025771167e-01) }, 
+      { SC_(2.2217296645976603031158447265625000000000e-05), SC_(7.8539816354282794549663202730123168024340e-01) }, 
+      { SC_(4.5726439566351473331451416015625000000000e-05), SC_(7.8539816401327133564997472904368327814099e-01) }, 
+      { SC_(1.0827131336554884910583496093750000000000e-04), SC_(7.8539816685006179236394845105448892170857e-01) }, 
+      { SC_(2.3922655964270234107971191406250000000000e-04), SC_(7.8539818025288287477427494950883323315577e-01) }, 
+      { SC_(3.8421736098825931549072265625000000000000e-04), SC_(7.8539820687600897663945355819075486097120e-01) }, 
+      { SC_(6.5448507666587829589843750000000000000000e-04), SC_(7.8539828955718157445397499256862169611659e-01) }, 
+      { SC_(1.8327706493437290191650390625000000000000e-03), SC_(7.8539915272089858042522523302460312462001e-01) }, 
+      { SC_(3.0962256714701652526855468750000000000000e-03), SC_(7.8540098690507738836633305012117939022168e-01) }, 
+      { SC_(7.0631857961416244506835937500000000000000e-03), SC_(7.8541285725927851977195194874435983132497e-01) }, 
+      { SC_(9.5610283315181732177734375000000000000000e-03), SC_(7.8542508836402941290553361622690588558840e-01) }, 
+      { SC_(1.5902712941169738769531250000000000000000e-02), SC_(7.8547265927495354595996006013411494269668e-01) }, 
+      { SC_(5.4727092385292053222656250000000000000000e-02), SC_(7.8628193465923633664032835233150751395515e-01) }, 
+      { SC_(1.1382785439491271972656250000000000000000e-01), SC_(7.8924544782468621209125861832080985224381e-01) }, 
+      { SC_(1.5688687562942504882812500000000000000000e-01), SC_(7.9276099484507970091111212677565057034603e-01) }, 
+      { SC_(4.5521020889282226562500000000000000000000e-01), SC_(8.5576208914286583702013429388327762089409e-01) }, 
+      { SC_(7.5297856330871582031250000000000000000000e-01), SC_(1.0569957364413754392878890709901655604171e+00) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rd_0xy.ipp b/libs/math/test/ellint_rd_0xy.ipp
new file mode 100644
index 000000000..749f0f338
--- /dev/null
+++ b/libs/math/test/ellint_rd_0xy.ipp
@@ -0,0 +1,322 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 315> ellint_rd_0xy = {{
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.1535471523766956940812740575030356968495e-01) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.0717437558448518532547462405404765555061e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.3932311031545657646532945220596007253853e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.7212017845697288356792294777473638606630e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.7957823840226308755899329594824613400050e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.7668041410711055565150911102514168202444e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4082635211423949270899273279208849948950e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0936577106018600550050948059701375535965e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0927224311392111509762300524154616559408e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.9485871370522737614280788081416848501852e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3014199848886343378433644802101640228147e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.0902597114493739169492153846176680961120e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(5.4404743630872601322044219411211264448276e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(5.3779123950369648728047021976232506904878e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.9553078037776762936055219615496245247262e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.1149689157296335195366526849328034623716e-01) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.8114409309837769194419921246829335385283e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.1568930269574426384779102130227276981098e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.5767525643841455625283023794245840260592e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.6820297868146892795440731689537930997924e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.6862882532642917151465380550351898517426e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3390622438078300866025414467437203424645e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0643334035074172382929575499680538216204e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0634253290399354133130418256283163159730e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.7126662147490751092414863027408816739671e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1400171974513749679571995778609392500095e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.9346959240955347535297997305896263811885e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(5.3027658693503968434675194114026206080610e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(5.2419136555538234848107841599641295239366e-03) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9669145510650669280641691700229873113294e-02) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.0937628173828125000000000000000000000000e+02), SC_(9.0639729264738853685636317567616235645206e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.0944409179687500000000000000000000000000e+02), SC_(9.0563553569609734586350750064440187946853e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(7.4416683379231836694228971007235419136370e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.2701039275711604150320557135519153922750e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.0962218337804991732702916251174515307280e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.5604421658313786985542976190056461362469e-03) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.2443155299606563330164739681565192932833e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.0589934855429368829065950003506398544470e-03) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5258756741446651449592050641989686271256e-04) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3005914606163249287858300403301553768427e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2187956262225867274400204482920659217957e-03) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(3.7676391601562500000000000000000000000000e+01), SC_(8.7527061275689414611715799582698608990927e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.4535409782603055849685563830711171450890e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.9073704976572940077629969910512432912632e-04) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.9909978426640776708381029382899087147669e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.9891245393051668897946620265205248403917e-04) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9976635977602348011565626789256752151964e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9484359569806518435571302454180372001665e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7939669683612487709421556124005812046622e-04) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7030839281444140570561947384523774827058e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.5204980262938681215199126994932134768379e-04) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3141928704620653494297491242757031023078e-04) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(9.9392327050933260625428566858473981429774e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.1584262767962584654103273143367947153104e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.0819509137639013935229635108953892408397e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.5588306323552019123084706590382894161520e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(7.8884109703348368548014504318992881174567e-04) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.6777219449715619506727273677497053963863e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.0815277835937081136681849476938325610455e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4777448455434448246212099061872541530503e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.7590243684217373359283798110125577233594e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4928844475182541219856740935350581710332e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.4025621862177645484625664359755473111848e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.4016902496412669834209086627922066206588e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2123449557430056053937740985283279503714e-04) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(9.3998171734539930021130833248307417404866e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(9.1704152662667944691518160451066475832448e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.4504528346111748935012060692543789677237e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(8.3799361701054879622124170730583183096221e-05) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(7.8975724141193394125400099991579415533477e-05) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rd_0yy.ipp b/libs/math/test/ellint_rd_0yy.ipp
new file mode 100644
index 000000000..3bf7c783b
--- /dev/null
+++ b/libs/math/test/ellint_rd_0yy.ipp
@@ -0,0 +1,228 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 221> ellint_rd_0yy = {{
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.5075933427301716232672795034855345692850e+49) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.2199407235554817226615307866947803938564e+49) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.2354891815381075869697810446193501064438e+48) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9591526532522238800125709320252743161241e+48) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.4391377787499269400927485477485886768717e+48) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(2.2034876750953806189172437564774275736541e+47) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(8.1318624868386456742114211802159880281555e+46) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(5.6396714463599834543132107821392013656837e+46) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(1.2899620817873123488958262770226551475010e+46) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(6.3571243221039164981188237286935464910062e+45) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(2.9246892262678841512667853928021133305832e+45) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(6.1778490048502380351529857344675390759941e+44) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(2.9078388270756910613550920230806241035946e+44) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(1.1472064694021494573881450931960080790526e+44) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.7311469634494727792399520940657654512231e+43) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(6.6033356137966398138516962580399577046152e+42) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(2.3982014064068530283911440001042264840411e+42) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(8.2319771677314581385498523947797460816717e+41) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(2.9808741945019792609548473554157723415638e+41) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(1.0516444901620232783721998493769337461329e+41) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(8.2397791221868831084700129809818532631473e+40) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(1.6003510785687549140380943789426537461361e+40) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(4.6374082021103840466514853911190947500707e+39) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.6265327427673199292492683523168879331831e+39) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(5.8565095970457391914797111441321805264607e+38) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(4.8487799776012116544026189428582000085828e+38) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(1.1072259281756202115081480962871127420943e+38) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(2.9391568532186769604057269025306538055943e+37) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(1.0372668142458025191836426570876594939768e+37) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.9969555633403996040304559961761339372739e+36) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(2.5667073814630641210346435302809237333871e+36) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.0994034736897091951482460793729684001915e+36) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(2.3093019207333082014680732641029849321245e+35) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(1.1796317031402849031779618673326472752225e+35) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(1.8455567662373838950133656611287719411634e+34) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(8.2397471174074355708481727744393670098703e+33) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(2.5495193547757707650015926055658627197772e+33) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(8.4004588879902697969624976614191462312147e+32) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(2.7876314593153415471223320757955777667588e+32) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(1.4661556676026174015932613917384507503611e+32) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(4.4861333553478722408818004815110980862497e+31) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(1.4017066141663898513843490508049724207104e+31) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5091263406486883653093633225750203052939e-21), SC_(3.5091263406486883653093633225750203052939e-21), SC_(1.1334767837580943729911478675537823112949e+31) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.2244855466440840911323921502695810659134e-21), SC_(9.2244855466440840911323921502695810659134e-21), SC_(2.6594871974194269998528975233143396897166e+30) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5060373697831631136892266593918510153571e-20), SC_(5.9392255949881748738673616881494575421155e+29) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.9575152170586206725914951635900787466097e+29) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.0484196316561675708982576474270764776975e-19), SC_(6.9407822439476142732033390503956134827143e+28) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.8229333961140025508894553507577285245134e-19), SC_(3.0272963284098383206804819461850578429460e+28) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.6401757896136402713757954097140157045942e-19), SC_(1.0728218267785822891705549690351029698995e+28) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.0660607797570928288862987520779768146895e-19), SC_(4.9871335680455799696205315380321839118647e+27) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5245964393311865802196902741627582145156e-18), SC_(1.5245964393311865802196902741627582145156e-18), SC_(1.2516381280053774536911301670902745977249e+27) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0195417624247973304059400323495765405823e-18), SC_(3.0195417624247973304059400323495765405823e-18), SC_(4.4905504011900218035485021949634093817604e+26) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0477044011936223152393898860879062340246e-18), SC_(6.0477044011936223152393898860879062340246e-18), SC_(1.5842557886097965390974614627956460846680e+26) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0233193632958864486594274811892546495073e-17), SC_(1.0233193632958864486594274811892546495073e-17), SC_(7.1977100576928845398704744812113763746349e+25) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9321026667662503885011804349858266505180e-17), SC_(1.9321026667662503885011804349858266505180e-17), SC_(2.7743793044422050150659958132712773503238e+25) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9470861839323539803359164324092489550821e-17), SC_(3.9470861839323539803359164324092489550821e-17), SC_(9.5015885961492070741614835110061189391732e+24) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.1897463183816027049166663687174150254577e-17), SC_(9.1897463183816027049166663687174150254577e-17), SC_(2.6745815950504079477134659101457270255626e+24) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3032517747881629428807759296660151449032e-16), SC_(1.3032517747881629428807759296660151449032e-16), SC_(1.5836844357241643980261406192825142248402e+24) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6005563194954166295058683999741333536804e-16), SC_(2.6005563194954166295058683999741333536804e-16), SC_(5.6183881663414737436783600701683002641377e+23) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.7816541979623537611532313462703314144164e-16), SC_(5.7816541979623537611532313462703314144164e-16), SC_(1.6948566307977710019545581828790481644843e+23) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5152733329692157082657644195933244191110e-15), SC_(1.5152733329692157082657644195933244191110e-15), SC_(3.9946125834552839828142539933744088577036e+22) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1926103267695439547058100515641854144633e-15), SC_(3.1926103267695439547058100515641854144633e-15), SC_(1.3061476247165628017702187281386451183374e+22) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6658061297861060934266674848913680762053e-15), SC_(3.6658061297861060934266674848913680762053e-15), SC_(1.0615901895819292312365439593324893239417e+22) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3546521982672270478786913372459821403027e-15), SC_(9.3546521982672270478786913372459821403027e-15), SC_(2.6041720187275237660209284919950995490331e+21) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8146163011881905058331199143140111118555e-14), SC_(1.8146163011881905058331199143140111118555e-14), SC_(9.6390431442047772827693091011022443114287e+20) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3217629955581990941482217749580740928650e-14), SC_(5.3217629955581990941482217749580740928650e-14), SC_(1.9192336169067829087082867993818355444177e+20) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9467947059743675453091782401315867900848e-14), SC_(5.9467947059743675453091782401315867900848e-14), SC_(1.6247506406566478802874894597882849783095e+20) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3063909762994763141819021257106214761734e-13), SC_(1.3063909762994763141819021257106214761734e-13), SC_(4.9900095663890079894021800951506481830908e+19) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4945887369676178479949157917872071266174e-13), SC_(2.4945887369676178479949157917872071266174e-13), SC_(1.8910921868278464145201923582959106305468e+19) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0679720676778430288322851993143558502197e-13), SC_(9.0679720676778430288322851993143558502197e-13), SC_(2.7286377020306498711545285596085403992066e+18) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6584251333329191879784048069268465042114e-12), SC_(1.6584251333329191879784048069268465042114e-12), SC_(1.1032332179731005634729674177891152559863e+18) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3140226673999961803929181769490242004395e-12), SC_(3.3140226673999961803929181769490242004395e-12), SC_(3.9055115291113182393539275666672843014303e+17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.1657502020695531541605305392295122146606e-12), SC_(6.1657502020695531541605305392295122146606e-12), SC_(1.5389774181081652790515370728403885179145e+17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1867811141389523754696710966527462005615e-12), SC_(8.1867811141389523754696710966527462005615e-12), SC_(1.0058688697413359417463285544791920598823e+17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9166314368934678213918232358992099761963e-11), SC_(1.9166314368934678213918232358992099761963e-11), SC_(2.8080395815650358137698970790298752046647e+16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1331883188510118998237885534763336181641e-11), SC_(5.1331883188510118998237885534763336181641e-11), SC_(6.4066402830919095665157634632466752179845e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1351786177726808091392740607261657714844e-10), SC_(1.1351786177726808091392740607261657714844e-10), SC_(1.9481160879335647329505747312481521900546e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7352735914855088594777043908834457397461e-10), SC_(1.7352735914855088594777043908834457397461e-10), SC_(1.0307638996714540394451408729085655346712e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4085067273915683472296223044395446777344e-10), SC_(2.4085067273915683472296223044395446777344e-10), SC_(6.3036100682352504017771908690840768007581e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.7467654513441175367916002869606018066406e-10), SC_(7.7467654513441175367916002869606018066406e-10), SC_(1.0927744330014604412073254622521616876162e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3399348297582491795765236020088195800781e-09), SC_(1.3399348297582491795765236020088195800781e-09), SC_(4.8038077874938729259345210250522254092489e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0971455683138628955930471420288085937500e-09), SC_(2.0971455683138628955930471420288085937500e-09), SC_(2.4533994894321200139371044938196593995510e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1467061723542428808286786079406738281250e-09), SC_(5.1467061723542428808286786079406738281250e-09), SC_(6.3814162474216345647556635378731804114637e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0167588950862409546971321105957031250000e-09), SC_(9.0167588950862409546971321105957031250000e-09), SC_(2.7519177576240713695116667476692977692858e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6308249800877092638984322547912597656250e-08), SC_(2.6308249800877092638984322547912597656250e-08), SC_(5.5217050028593433060629250079445041143142e+11) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1328681870945729315280914306640625000000e-08), SC_(3.1328681870945729315280914306640625000000e-08), SC_(4.2491097839700182369359911926092155454309e+11) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0700225061555102001875638961791992187500e-07), SC_(1.0700225061555102001875638961791992187500e-07), SC_(6.7316537182049879982670963011898102457217e+10) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(1.5549838708278000161595879548914170697276e-38) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.9928460036854257851184826574163145043933e-39) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(3.4012151670138518589307069582271112442824e-39) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(5.3935582557398062230908772136375217746037e-40) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(2.7989487233600208620032657603051221740589e-40) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(9.3509369060078590761745876410319415141389e-41) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(4.3176786756284766864734496422796754986260e-41) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(7.1470635307930435762258201315587124165876e-42) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(2.8134217007743770084246644718535234373550e-42) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.3891269213879890840577193085919440628281e-42) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(5.6295142404326337602794867823487177132089e-43) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(1.1755200971350565530931192470231204451937e-43) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(5.5908718690751496153521322929883094013480e-44) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(1.8110462342888698713130034708115039083540e-44) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(1.0494225253714638031453061402424236164186e-44) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(3.9417887715248635810294861925054143971404e-45) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(8.1418947679419291958629669368504135508466e-46) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.2683174122867076063900066892540299647201e-46) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.4538907408092340225382513632512530627004e-46) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(4.7023278833342860065376684855651586923174e-47) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.2125438583023261721596118356642995944174e-47) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(4.8196665441053827803014265044521328436745e-48) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.4686378906513292112999070481163903409364e-48) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(5.0708723963212168362133117338203669626452e-49) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.7437463494176452573758584103072608457383e-49) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(5.0822723761830381176597034725085270215632e-50) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.8838098141007479934327118196252617895602e-50) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rd_xxx.ipp b/libs/math/test/ellint_rd_xxx.ipp
new file mode 100644
index 000000000..4fda7e379
--- /dev/null
+++ b/libs/math/test/ellint_rd_xxx.ipp
@@ -0,0 +1,228 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 221> ellint_rd_xxx = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9130820318496712875229216324832408264587e+49) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3665852869779972929460567093420455622924e+49) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.2220106206558165375569223515909546363392e+48) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3149021076451585903933915726002934423658e+47) }, 
+      { SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(6.1078904340891008746809572947309925671571e+47) }, 
+      { SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.3518921475599483128684188501191135541069e+46) }, 
+      { SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.4512696301971283630153140671266643699729e+46) }, 
+      { SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.3935509016064272675775978191165201415094e+46) }, 
+      { SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(5.4747691124683342305782589643022296522404e+45) }, 
+      { SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.6980473592334734518377012858136761011516e+45) }, 
+      { SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.2412766596483853421146471461184075439986e+45) }, 
+      { SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.6219605514593649777370199528413692533610e+44) }, 
+      { SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.2341251281163607811506584927348226764697e+44) }, 
+      { SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(4.8688954760627537245343296759816558179510e+43) }, 
+      { SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.1591347721157429088009140561489321101032e+43) }, 
+      { SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.8025426768813065775721805427136387158775e+42) }, 
+      { SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.0178282889588961387363651548386847505189e+42) }, 
+      { SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(3.4937596204375519072486799492055320404445e+41) }, 
+      { SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(1.2651223007734982870746964468855740797418e+41) }, 
+      { SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(4.4633178395904559777849681755133773342447e+40) }, 
+      { SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(3.4970708727505084948560257863505164190937e+40) }, 
+      { SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(6.7921009289776935903433019753299209745102e+39) }, 
+      { SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(1.9681771693353782306219621812474237186418e+39) }, 
+      { SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(6.9032193629929930170164705563410884882774e+38) }, 
+      { SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.4855798710265426807120743075420126570707e+38) }, 
+      { SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.0578861370673130178626361472849746194080e+38) }, 
+      { SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(4.6992127890309820585050626940997924796295e+37) }, 
+      { SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.2474169112324605441939542720639784402741e+37) }, 
+      { SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(4.4022970877973938695191322726429651928996e+36) }, 
+      { SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(2.5451869904215104897624834594681874453759e+36) }, 
+      { SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(1.0893444459474711024763586414705889445909e+36) }, 
+      { SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(4.6660132610698058133490126444977438282925e+35) }, 
+      { SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(9.8009817540350469440959805620557988944499e+34) }, 
+      { SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(5.0065124422050030990065529687603555765702e+34) }, 
+      { SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(7.8327861894232857865037309475512683389216e+33) }, 
+      { SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(3.4970572895002374508249647885709717101789e+33) }, 
+      { SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(1.0820496208560626961100858844590485730469e+33) }, 
+      { SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(3.5652654833703940379060204054055838797350e+32) }, 
+      { SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(1.1831075367160275517639288666574288486473e+32) }, 
+      { SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.2225579157641169750714156367658077057306e+31) }, 
+      { SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.9039741303281175537666855566297130877799e+31) }, 
+      { SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(5.9490276375782685138970704546915531122262e+30) }, 
+      { SC_(3.5091263406486883653093633225750203052939e-21), SC_(3.5091263406486883653093633225750203052939e-21), SC_(3.5091263406486883653093633225750203052939e-21), SC_(4.8106248804001084093789710646407339389070e+30) }, 
+      { SC_(9.2244855466440840911323921502695810659134e-21), SC_(9.2244855466440840911323921502695810659134e-21), SC_(9.2244855466440840911323921502695810659134e-21), SC_(1.1287214228237683206244128489608852550969e+30) }, 
+      { SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5206856308807231679546104456088088253651e+29) }, 
+      { SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.2849267904344328986699199160459450297367e-20), SC_(1.6796216244167322412986398135672019603925e+29) }, 
+      { SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.0484196316561675708982576474270764776975e-19), SC_(2.9457594747965870918504969667673521688625e+28) }, 
+      { SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.2848244663209906963686638105704904521204e+28) }, 
+      { SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.6401757896136402713757954097140157045942e-19), SC_(4.5531972476983589292201137937396174898814e+27) }, 
+      { SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.0660607797570928288862987520779768146895e-19), SC_(2.1166052245706005739379128570215042487047e+27) }, 
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+      { SC_(7.7127808000000000000000000000000000000000e+07), SC_(7.7127808000000000000000000000000000000000e+07), SC_(7.7127808000000000000000000000000000000000e+07), SC_(1.4763302444385803123966407535059224316751e-12) }, 
+      { SC_(1.6510873600000000000000000000000000000000e+08), SC_(1.6510873600000000000000000000000000000000e+08), SC_(1.6510873600000000000000000000000000000000e+08), SC_(4.7135152988865280137202318058935960218398e-13) }, 
+      { SC_(3.3755980800000000000000000000000000000000e+08), SC_(3.3755980800000000000000000000000000000000e+08), SC_(3.3755980800000000000000000000000000000000e+08), SC_(1.6124041349447330777565723648394773448569e-13) }, 
+      { SC_(9.7159372800000000000000000000000000000000e+08), SC_(9.7159372800000000000000000000000000000000e+08), SC_(9.7159372800000000000000000000000000000000e+08), SC_(3.3019686536309107022077726910121027172503e-14) }, 
+      { SC_(1.9764551680000000000000000000000000000000e+09), SC_(1.9764551680000000000000000000000000000000e+09), SC_(1.9764551680000000000000000000000000000000e+09), SC_(1.1380715020194782929006325654839103448231e-14) }, 
+      { SC_(4.2703175680000000000000000000000000000000e+09), SC_(4.2703175680000000000000000000000000000000e+09), SC_(4.2703175680000000000000000000000000000000e+09), SC_(3.5835192380039380614992028798032269796872e-15) }, 
+      { SC_(5.3871001600000000000000000000000000000000e+09), SC_(5.3871001600000000000000000000000000000000e+09), SC_(5.3871001600000000000000000000000000000000e+09), SC_(2.5291082868947299464749809736034094994467e-15) }, 
+      { SC_(1.1445641216000000000000000000000000000000e+10), SC_(1.1445641216000000000000000000000000000000e+10), SC_(1.1445641216000000000000000000000000000000e+10), SC_(8.1665722365000076678695661178473555124594e-16) }, 
+      { SC_(3.1169175552000000000000000000000000000000e+10), SC_(3.1169175552000000000000000000000000000000e+10), SC_(3.1169175552000000000000000000000000000000e+10), SC_(1.8172389112298227276344275075292608494012e-16) }, 
+      { SC_(4.4661866496000000000000000000000000000000e+10), SC_(4.4661866496000000000000000000000000000000e+10), SC_(4.4661866496000000000000000000000000000000e+10), SC_(1.0594847170963922254466233621379283249260e-16) }, 
+      { SC_(8.5454389248000000000000000000000000000000e+10), SC_(8.5454389248000000000000000000000000000000e+10), SC_(8.5454389248000000000000000000000000000000e+10), SC_(4.0031184252872688892995672912758962496036e-17) }, 
+      { SC_(1.3929971712000000000000000000000000000000e+11), SC_(1.3929971712000000000000000000000000000000e+11), SC_(1.3929971712000000000000000000000000000000e+11), SC_(1.9234223059817672578364343158295343638882e-17) }, 
+      { SC_(5.3031193804800000000000000000000000000000e+11), SC_(5.3031193804800000000000000000000000000000e+11), SC_(5.3031193804800000000000000000000000000000e+11), SC_(2.5894223626257356725303264045152112780701e-18) }, 
+      { SC_(6.6918337740800000000000000000000000000000e+11), SC_(6.6918337740800000000000000000000000000000e+11), SC_(6.6918337740800000000000000000000000000000e+11), SC_(1.8267633222159750145975227766150226814194e-18) }, 
+      { SC_(1.4843227668480000000000000000000000000000e+12), SC_(1.4843227668480000000000000000000000000000e+12), SC_(1.4843227668480000000000000000000000000000e+12), SC_(5.5297752045493633450351111374745190404064e-19) }, 
+      { SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.1943386030080000000000000000000000000000e+12), SC_(1.1641388120218365909484803113445707423240e-19) }, 
+      { SC_(5.2626813091840000000000000000000000000000e+12), SC_(5.2626813091840000000000000000000000000000e+12), SC_(5.2626813091840000000000000000000000000000e+12), SC_(8.2830330258120669248992130289435089514198e-20) }, 
+      { SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.5252724844274283485711164097889669824333e-20) }, 
+      { SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(9.6848000513798749504636143135095697334396e-21) }, 
+      { SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(1.7528683384684325499585218233961702349754e-21) }, 
+      { SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(8.2461326616873027661690077467477239433592e-22) }, 
+      { SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5244037838561698009392599225865629558297e-22) }, 
+      { SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(1.1841551221219940330200526345856545652196e-22) }, 
+      { SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(2.6720700250191111905648529882401078381318e-23) }, 
+      { SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.6844164374828786804594696654750101196940e-23) }, 
+      { SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(8.4838998261101555237307946245990894127516e-24) }, 
+      { SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(1.3356380485337204170095416134901343825643e-24) }, 
+      { SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(4.8699887845136379116152767871343743126731e-25) }, 
+      { SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.0721350966735692041560346691659593278158e-25) }, 
+      { SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(7.2625173372709075817988731803585361348306e-26) }, 
+      { SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(2.6797790249889441376478657893074556432642e-26) }, 
+      { SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(8.0133340420992867452374294355367895337196e-27) }, 
+      { SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(2.4343974532736681000058069022355272982086e-27) }, 
+      { SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(1.0351453546602344224967003388756464660737e-27) }, 
+      { SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(5.5401364133438695077020587760081212866457e-28) }, 
+      { SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(1.3117813031241628231394820272642234623008e-28) }, 
+      { SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(4.3348943965238912629172876802061223034712e-29) }, 
+      { SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(2.1729850794578639427299792767817563216792e-29) }, 
+      { SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(5.4347145753145946959178277776169309459060e-30) }, 
+      { SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(2.2868545243036362403546021192045469279848e-30) }, 
+      { SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(9.7275067423393828543599556836992248128789e-31) }, 
+      { SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(4.2009587968471488750572362027061472656058e-31) }, 
+      { SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(1.0046054213931135883644470099263326087106e-31) }, 
+      { SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(3.6938432729639373749450863473476250731635e-32) }, 
+      { SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(2.2091248674270751061752260956354737147220e-32) }, 
+      { SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(5.2379121758362895910185848055946476645437e-33) }, 
+      { SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(2.8479381893321415974223960789148685276211e-33) }, 
+      { SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(6.9244179743696634091696789337235938404876e-34) }, 
+      { SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.0337327051277727008982819400180427993931e-34) }, 
+      { SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.7744494087600150203765673017484711578262e-35) }, 
+      { SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.0288753146104063272103101319477436751656e-35) }, 
+      { SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(1.0776560212334060415241952783961381215531e-35) }, 
+      { SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(2.2377020720091407413010659087995982032280e-36) }, 
+      { SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(7.7252555568665586603456786042795749256475e-37) }, 
+      { SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(6.2637864895364561301401520132953130469257e-37) }, 
+      { SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.1443693720668992815087263609302554517038e-37) }, 
+      { SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(4.7857440881650091612417628752981254574601e-38) }, 
+      { SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.0181210624874437322755542031848925852443e-38) }, 
+      { SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(6.5995565192110303816586016066095847879993e-39) }, 
+      { SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(2.5434428391334568706163940836113767799054e-39) }, 
+      { SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.4435205502650156869693831753504925796075e-39) }, 
+      { SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.2890972193469096777795156856123092483278e-40) }, 
+      { SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.1879107327559925906773287960526392067809e-40) }, 
+      { SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.9686608830175590814715691622534817404011e-41) }, 
+      { SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.8324797437566406076041039429974310120006e-41) }, 
+      { SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(3.0333079720467397282520192477118791550916e-42) }, 
+      { SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.1940532551473316279692357164340213043762e-42) }, 
+      { SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(5.8956377632246711579832955264973200436422e-43) }, 
+      { SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.3892400495228539274598050730404314792108e-43) }, 
+      { SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(4.9890622443442454143628998892754947824020e-44) }, 
+      { SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.3728397177512905263928217528665158827501e-44) }, 
+      { SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(7.6863189428009715118983101443511744090196e-45) }, 
+      { SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.4538875281292909532958673539665046029890e-45) }, 
+      { SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.6729471136328311706955118425734608582646e-45) }, 
+      { SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(3.4555274625386616585934609941429203994493e-46) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.3871169913566441993441180101040613652334e-46) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.1705039497420584674312487188888623304008e-47) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.9957299377906691708015705180778289952633e-47) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.1461959670542379650843010267432936776139e-48) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.0455300121306774873511328924430576723673e-48) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.2330927975790268155461535096378223350591e-49) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.1521450871007098580247264140643505142883e-49) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(7.4006893602204152108633305656949585309562e-50) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.1569833888237949750965877861010398088413e-50) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2239268982694768381667683394968955347577e-50) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rd_xxz.ipp b/libs/math/test/ellint_rd_xxz.ipp
new file mode 100644
index 000000000..fe067bf32
--- /dev/null
+++ b/libs/math/test/ellint_rd_xxz.ipp
@@ -0,0 +1,2217 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 2210> ellint_rd_xxz = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.1729774060187396418734621828274699612747e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.3312252938058544760835135287445262528222e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.0227584282918582236074076402509358426243e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4539203324363904751954428097993467309857e-01) }, 
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+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.9610406206626477900363472992392324941539e-34) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.0670717413841971147853115344933008984511e-34) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8210938710011131543725308813468116537906e-34) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7988377681138516748270736691492687086743e-34) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7271228638061820885802661067392581651399e-34) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7199376123433129628092410593402075217247e-34) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6699566459241499291562877092138433464802e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.1615297421485730363800317663226072790198e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.0608624063512000331422527742044627038336e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.3963321989660186943685167196210441063302e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.0294739654494892973943507407364831779446e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4167547228436057228628980462595127199327e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2481634240496495585128099662067737915017e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2329092660800252694011338921477882885786e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1837564343993353121070826565567588385356e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1788317195280353039705317161574112528990e-34) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1445751580314231694822048727675807612535e-34) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rd_xyy.ipp b/libs/math/test/ellint_rd_xyy.ipp
new file mode 100644
index 000000000..42e3d0eec
--- /dev/null
+++ b/libs/math/test/ellint_rd_xyy.ipp
@@ -0,0 +1,4427 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 4420> ellint_rd_xyy = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867592463668244161693249328590e-02) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128526481129430827158484300e-02) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616665111041605346984463436e-02) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015186474500095957815617283e-02) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344934405601797520127381891744e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862810598841378477161469121762e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884193503827316373331771524134e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451387565581414318877269354e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719725465805454374528195790e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889905360955633350988932877e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025923051005687741954091857454e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709674579410269944132769418e-03) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746731317962082074193144655258e-04) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530792560609332066694353330e-04) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(8.8910571295976173675069868630614065798899e-04) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(8.7892249188481179535607048988925750074078e-04) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(8.7510184094032796476632979656808138207327e-04) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7351297493680807013406118227242160325992e-04) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(8.4201578780553875303939139480354482446474e-04) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(8.3748216146001494782993229427127584413524e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867592428693063592477502832051e-02) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128505845781773244953089769e-02) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616646981036247416431322697e-02) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015177097792012630447130081e-02) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344934337491810714870129666666e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862810555938727312223901520997e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884193468787917996494270102021e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451376439488321530655317755e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719714353495239863343699073e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889897039460200153942833040e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025923045992563007219029292540e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709669806896729149278933089e-03) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746731277404494598511960043608e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530752673739531803239720418e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(8.8910571295976173638774989609021360817226e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(8.7892249188481179499865372201130442814542e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(8.7510184094032796441098310035447256899290e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7351297493680806977957446576083071640477e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(8.4201578780553875270184422973945082765490e-04) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(8.3748216146001494749480620464778803160868e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867592154312222498340658909625e-02) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128343961155177754851881669e-02) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616504750859356531627594695e-02) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015103537369772464578113906e-02) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344933803167894086236330633814e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862810219366754838548192739926e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884193193903287192577130655850e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451289155113195877036473102e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719627177247010849116341518e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889831757197779719439786366e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025923006664520697206981687884e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709632366453016071631924200e-03) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746730959229583612599539617679e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530439760619247832221792707e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(8.8910571295976173354041093420937933844783e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(8.7892249188481179219471356229078989574152e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(8.7510184094032796162328268536562201188968e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7351297493680806699862060504627749940689e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(8.4201578780553875005378141628406606403980e-04) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(8.3748216146001494486573676606379934780344e-04) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867591920100497870908321494623e-02) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128205776297100913580924791e-02) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616383343056643914550894167e-02) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015040746129361912702953866e-02) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344933347068534071733932343691e-03) }, 
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+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.8649309510351707799670021362800127823654e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.7710393891814943807615450526922834826096e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.4763503680117411645928879276551995594804e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.4474856081609385184807584708012241769649e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(3.2885932470237302191344306830914424126595e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(3.2634348397832339912462879893508522198574e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(3.2539706027247678888125314386632583482682e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.2500307267782083387311730822731369982090e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(3.1714269800134443835516649639245847839863e-19) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(3.1600328956308031409023712041189967087512e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.1403871837194589617838885319256684956987e-18) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6440622378271807526127583853975522723907e-18) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.5410308230459404010138447676150975801272e-18) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.1082495331296592657624084652787803699023e-18) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(9.4453435140362001267109856597298034266894e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(7.4964288651619345107511001358955861404927e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.7747095338823424316949056736284048168836e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(3.8175409457010122546693209595791622066336e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(3.8151756496766962396659984960984452164430e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.3015132817496686025915899991544118192005e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5625161697128702332876492648559084713291e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5002644377937784547462831853503101789182e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.3048805120907603424362769622215285680611e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.2857426763080150626053797140922760566657e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(2.1803942885059252073188037369479238976747e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(2.1637138287060610440006158670843839995431e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(2.1574388755947203328300458397821466252666e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.1548266695947612474115645008168854378744e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(2.1027110238984843831882948514678172190550e-19) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(2.0951565485819794664053980135052578987075e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.7719925899369313290190047756517988230511e-18) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3610930419431700488849928063450836313291e-18) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2757949683461240997594281285166767113894e-18) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(9.1750220494882991418993129407640327672862e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.8196500350913776977796036365605486802216e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(6.2061745188422665963567444114149624840842e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.6086745353022335099964194805581072643208e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(3.1604815796961264278169881297131007863620e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(3.1585233886454718209830770323638156108263e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7332704640253384536921231356639774308936e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1214664799263404674943146441907225126783e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.0699292587588690766546303957780648214453e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9081740066381317393062114455040211425352e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8923300960352268421801322725701666985385e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.8051138372354016012781363357069269282075e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.7913043492199032361559172954398611972238e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.7861094150976688243755410490597874417304e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7839468111956623776541243678117882283457e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.7408010949925301907540117545734088689266e-19) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.7345468647375882723722704263461447446576e-19) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rf_0yy.ipp b/libs/math/test/ellint_rf_0yy.ipp
new file mode 100644
index 000000000..c611ce518
--- /dev/null
+++ b/libs/math/test/ellint_rf_0yy.ipp
@@ -0,0 +1,228 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 221> ellint_rf_0yy = {{
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.2011134328710924123568675963633830394318e+16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.7554800327933727372706425945100239072845e+16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.0497548397148665107630958693942691659345e+16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.4770853493447921736098258541412996180989e+16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3327549053323440668722578635205718335450e+16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(7.1299481820424706099755641475235630224298e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(5.1142211858846531258743753567048129710036e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(4.5268985959206997318160223917930173682065e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(2.7684826947146390333934627850738946314261e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.1867697952837347494353619419469972994415e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.6881436782981871757856272617193320335881e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(1.0053761877394506247990797590547509932445e+15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(7.8205916286975768201582362951392158530002e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(5.7358355870132192845036795529116466004622e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(3.5549311045264652089376376128995610653495e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.2146441588391558634818947164424977714924e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.5800762651540760009290282618266899294729e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(1.1063287981858817479953084254076726440032e+14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(7.8855268369770930868571674694699148129542e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(5.5719320977924261881688450263574951885748e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(5.1367451751815636329822746455279713646875e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.9747781801253276176729006565683786122303e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(1.9685265364185948535157211661215046822256e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.3882587999565971273272148568313421369529e+13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(9.8763343682942275756205942653797662676068e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(9.2738554900908167203450178512952653860378e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(5.6684142446104558263603119935472584223454e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(3.6429825099820212175947594284015184803895e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(2.5744215342633328942805828125611602544858e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(2.1446665353906586866868265233747971049878e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(1.6162490583365811137699525978529227826072e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.2183400849218288532388652854576933184887e+12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(7.2422982183606624987687287777721105859382e+11) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(5.7893744966269982332281168189872602674103e+11) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(1.5889869222376992607670446319231504690358e-09) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.2901098660477035102345047272370563623399e-09) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(7.9813009907622332835564651054616044455088e-10) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(5.5179706273033215046095113457550819723747e-10) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(4.3833430262278918282653122961008145231052e-10) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(2.7617145657875482648326811246703048528181e-10) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.1764388312446528782220821981355647542597e-10) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(7.3021662466341990452628446338437164058585e-11) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(5.2313370077676905925803870205520990111100e-11) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(4.2842190014147909278365079758466714171612e-12) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(5.7029955696704363657183391096410506386339e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(4.2766359466790852949170778955420243416387e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.9463983403307002013779422234083601185818e-13) }, 
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+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(9.6089210029732720631668249221640828810492e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(7.7217276387173339316228602139361276696830e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(5.3579814689053488365105049803597755182814e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(4.1412641987135004125398992677505859620162e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(2.2738337720061142590311839557466375850359e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.6664582690561207345997448514984065249335e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.3171345471471175550632318634078278410483e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(9.7470487684575495227114000002323253771025e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(5.7826403788494239476913638776944597818384e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(4.5138038028128852153442693393179442153791e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(3.0999832282890590126942418598861471207285e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(2.5844390371396999635360049725791733762238e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.8647213689217269093280383995429126476546e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.1022784748326613472643766950915870266214e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(8.1312548741077384914760734681077184318119e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.2071668848445719575214289055934381666647e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(4.2607606128595662177290950502474781053227e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(2.7119519078084773713513001089799261003714e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.9939847338616881135469544661367878643461e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3417998569903162736257142762866916683070e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(9.4133395764747646992674799662015469129317e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.5949362552637029247447266438533130992429e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634527092424992635267307715942e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105465095323814245693615037155e-17) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rf_xxx.ipp b/libs/math/test/ellint_rf_xxx.ipp
new file mode 100644
index 000000000..baa17a286
--- /dev/null
+++ b/libs/math/test/ellint_rf_xxx.ipp
@@ -0,0 +1,228 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 221> ellint_rf_xxx = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.6745118773247830750129868545120089618418e+16) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.3908128436079138694597947682338789400948e+16) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.3049144594686265000504063489393107218708e+16) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(9.4034173886737095950022635032666743320848e+15) }, 
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+      { SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(1.7581620982159027260802321770518628861878e-10) }, 
+      { SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(1.3174865171607575740912408496652222694310e-10) }, 
+      { SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(9.9083311642663496103360578720840032308443e-11) }, 
+      { SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(7.4894422095135435718800797093385600824823e-11) }, 
+      { SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6487034137224996398964874636888506936392e-11) }, 
+      { SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(3.3303725750631712974110693374310506680224e-11) }, 
+      { SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(2.8059079623426516393955883405376573232942e-11) }, 
+      { SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(1.7366784053673863974033326536113992767225e-11) }, 
+      { SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(1.4174579577015182662211276866709482978684e-11) }, 
+      { SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(8.8469673605375476579056333652865125744604e-12) }, 
+      { SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(5.8807306860408691789442372090882123138894e-12) }, 
+      { SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(4.0765364943708329355099009419688115468961e-12) }, 
+      { SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.7274185254535508524767226216130358895591e-12) }, 
+      { SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.2088186128220989678679262377034140424908e-12) }, 
+      { SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(1.3079789498698502351096702727426864138485e-12) }, 
+      { SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(9.1756664601092630442450512726348987325231e-13) }, 
+      { SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(8.5561616674672163420286992516321746889392e-13) }, 
+      { SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(5.9854921449893144564996792558570180852962e-13) }, 
+      { SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(3.6306397413769180853374028023137719680906e-13) }, 
+      { SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.7225910028738550227440733764732810996586e-13) }, 
+      { SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(1.8757354407255498259758658644881736637405e-13) }, 
+      { SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(1.3650251734740255702786138967514271285396e-13) }, 
+      { SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.1301627536648194057925630297746076478788e-13) }, 
+      { SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(6.1172291016109158707268663799365810972075e-14) }, 
+      { SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.9158044916446905163008063735754587589654e-14) }, 
+      { SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.4109969430842422903938392382620257248792e-14) }, 
+      { SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(2.6364106714990027821467945793770993526925e-14) }, 
+      { SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(1.4475675383362513140348987099395959191645e-14) }, 
+      { SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.0609002839065812059843422951055128266618e-14) }, 
+      { SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(8.3851389558227531421307623240720583980327e-15) }, 
+      { SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(6.2051639682311592461596062320916079198899e-15) }, 
+      { SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(3.6813432016667046128909080979857934601078e-15) }, 
+      { SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.8735767494586620086720575851533670198289e-15) }, 
+      { SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(1.9735106171367006973220786616130734391498e-15) }, 
+      { SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(1.6453049915217668953033533315599751479537e-15) }, 
+      { SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.1871184934119144561125791466798493269148e-15) }, 
+      { SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(7.0173227173365360727090233720037263115599e-16) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(5.1765176270172547693931350479685724857014e-16) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(3.9516051692773403952600385440674179220815e-16) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(2.7124844514714134221478580501658465126075e-16) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.7264822062208608084453237386475730089577e-16) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.2694101073754601529263649000817102038631e-16) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.5421631952002834589455315373158916356713e-17) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(5.9927180983941092709479939852926239799837e-17) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.1984668176046878820340926372477788998832e-17) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7836562268294570644632044333197319023129e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.3045448245966114002697863302442752498869e-17) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rf_xy0.ipp b/libs/math/test/ellint_rf_xy0.ipp
new file mode 100644
index 000000000..415e86705
--- /dev/null
+++ b/libs/math/test/ellint_rf_xy0.ipp
@@ -0,0 +1,322 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 315> ellint_rf_xy0 = {{
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7559809247369239448675450874161826991827e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8111322875077929632738813413886468605495e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5925407572540334087724394052920609777382e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.5545762196306999292434069148542537828759e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0942329983297076275458545239351417121796e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4746297883098470946407095287004116082863e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2194383184380185158410799903975312591310e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9426078250536213808890629979160318044746e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9413723371370236743589734380918290964393e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6609419247154670219719221474402730939309e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2054758570313860920631689200771331649136e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1635885369929721764270738590052081668545e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0278048745907638919153729231328916878725e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0141308332795205608610906420462210306713e-01) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9186537948769944881851863226453496312876e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.5032424632613493800474820184663713114486e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5894311208821497180565643315657996048897e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3778581093810778481998964215870817067098e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3723674199900412229873443201599852600772e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.9259648262230140816164316295175301126595e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3246626667175522436703174626061544105391e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0768508864021250938504532852507926925271e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8355009152772594192530456916161152452895e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8342985533666333605489385042396303206633e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5613243515870731837916188873825633553905e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1176965505674039777400744300717088442078e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0768806414349193018011883752483284696670e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9445496483432605052260966280259489335541e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9312215619773232845674783025830411077151e-01) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8381511297502025804634246417996675885777e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1437686646942510076264966873018493189390e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3960559507132247293778595314038663675384e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.2220831289274334970809719540295330683340e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3907482355160337362345298912877895557552e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0191981191259724082087957824312216202215e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.5162386040762152465891552267617315221729e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3081063098033714323426958778257656360246e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2577089117835624189961632976329653284757e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2566849614521740819088028569845195724755e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0238745679920738522671695622645512640698e-01) }, 
+      { SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6440379828134116388971183885417197343954e-01) }, 
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+      { SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6640460113109715228042612486284246388655e-02) }, 
+      { SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6191083819309406544321150667318097707137e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8739424206745752760977764733929290153084e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7286404358852851762509119080861604538168e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6930153241503088930336711606407585013351e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5116892847956755020152960742442974421694e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.4238713518054103242802712658967793177746e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2970484603988516652993174485730803720217e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2415530024931976886609521359223927850540e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9279563892675494591049689246048364873777e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9276184622485196978024725957768513369285e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8488382037945291180918751545879587600239e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7111323894643449770293880958303516739055e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6977926294555984925781229580665682108269e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6536921684058717642574801595787981015741e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6491762392834718894237949197379187283127e-02) }, 
+      { SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6172482134188660888819089439873939439701e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7401552866500812100634608935232776866072e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6364145456608382167808906782399657718070e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6109734428602538762404633814952482066442e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4814392602325622705679991368069518254657e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4186748330607447285124306394412636926093e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3279921632708835857023528331462186267049e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2882938552537384729082725744205592587214e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0637193669526324960726029721485740165122e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0634771055706497066441283897212907402154e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0069809871020035228206629097078134922941e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.9081318515019273021834127174106603027772e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8985491074105765473838661465682119039960e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8668594781911543713709512916169487314059e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8636135731581206004689746195642582286894e-02) }, 
+      { SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8406600405954442460878522053460830092706e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8359346092437946291249250086214713251245e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7625588056546744385928543850912778546830e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7445617781201546681115576299616847103471e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6529108659992428314313075760476484172877e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6084895326095182147773161565149732571915e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5442913264076639394570183705984373450498e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5161796540102252066052032496339195358377e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3570423803051451155068736310973842897928e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3568705919885355076067174835229954553924e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3168007850901381953533453517096814241140e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2466487014076504643720599098021373484316e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2398446899222937624942289553396372196581e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2173397345209664554976619489707371586536e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2150342010328799146595214328062920451915e-02) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1987283643062583806432985939778003173880e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6561505082365569195200245969375219723828e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5884948103274537016858785780556337481702e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5719003794525665466115473605901803371379e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4873894632568988528573979173151666018964e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4464267804893613030668050924763246673327e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3872243229625525593330139579323315519624e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3612990771673377593198233107443714374986e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2145220938931660432288645394888939513784e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2143636301350260720931458477056567816435e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1774005017818951277531706396793724253128e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1126805941268334997029774284844670594188e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1064029335750491070962556102321117762207e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0856382326778069373346951681026183485751e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0835109177978058735036087760890651932154e-02) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0684651831096071197043466795415607881621e-02) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rf_xyy.ipp b/libs/math/test/ellint_rf_xyy.ipp
new file mode 100644
index 000000000..a50eeb0e7
--- /dev/null
+++ b/libs/math/test/ellint_rf_xyy.ipp
@@ -0,0 +1,6637 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 6630> ellint_rf_xyy = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.9640767714989779208405422148051165793035e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.7167064915262036620081126218518400181051e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(6.0781788635270506076644910749852369925505e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.1688263305271348755217081146704596612451e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.6402628509810036182835792415181870664789e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.2170032813654970557725141765886461932153e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.1786389078487272251285772927802473330869e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.0549376645734696120954360509647835950222e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.0425368297759740697412847538705985562186e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.9562399742102856143089411463484396652737e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(7.9640767714989779208405422148051165793035e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.1169194176544748920219122801086678261655e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(7.7167064915262036620081126218518400181051e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.0176725342589904962861304900984077341569e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.0781788635270506076644910749852369925505e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.3625190876843644313608265353987699237974e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.1688263305271348755217081146704596612451e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.0008373561068558978920138789084041651535e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.6402628509810036182835792415181870664789e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3967638029189851886783159789435632079168e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.2170032813654970557725141765886461932153e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2305513881335560897924938722512627210649e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.1786389078487272251285772927802473330869e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2155124718324940325269242027702246176635e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.0549376645734696120954360509647835950222e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1670532043279833007216218384472069507762e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.0425368297759740697412847538705985562186e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1621979789590342347762714330798603552138e-01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.9562399742102856143089411463484396652737e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1284247898957231243858851368634653634305e-01) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.9418262092450297824712005140196305920371e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.6951644169363874802357131775007120525284e+00) }, 
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+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.3891249950879185569490012656112018183009e-16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457947076969388447528462809e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(8.3881642484941654395101779943171244780346e-16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457917214286736265461292727e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.3813680645235495664624223836001371493400e-16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457702377061995631045669411e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.6199705454105462418839995521946561242189e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.6199705454105462330814315316057567807885e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.6199705454105461564184349973733502719278e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.6199705454105460925877277196674001750401e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.6199705454105459122671624817557937576206e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.6199705454105458315936568767557422909677e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.6199705454105458232058665644500560677452e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.6199705454105457947076969388447528462809e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.6199705454105457917214286736265461292727e-17) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.6199705454105457702377061995631045669411e-17) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rg.ipp b/libs/math/test/ellint_rg.ipp
new file mode 100644
index 000000000..732436587
--- /dev/null
+++ b/libs/math/test/ellint_rg.ipp
@@ -0,0 +1,10000 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 9993> ellint_rg = {{
+      { SC_(8.5214803406892997464706775999511235082618e-33), SC_(5.6225057996800000000000000000000000000000e+11), SC_(1.2320223882817680737041525353776729584387e-22), SC_(3.7491685077094094251251986028089797624839e+05) }, 
+      { SC_(8.8050242717870207719865864619358444438226e-33), SC_(1.5147710654693024643825008640000000000000e+27), SC_(7.5908822684631754862394359406607691198587e-15), SC_(1.9460029968304920780981508489456135737097e+13) }, 
+      { SC_(3.0737560969270437688059003435623043887151e-32), SC_(6.1771426200866699218750000000000000000000e+00), SC_(1.2853826891756625627749599516391754150391e-09), SC_(1.2426929061068805930169720114110707714738e+00) }, 
+      { SC_(3.7769435766814533842259693603637407810989e-32), SC_(3.5717604966400000000000000000000000000000e+11), SC_(9.4340326735849181700434165760000000000000e+27), SC_(4.8564474344897745530176546205644092329362e+13) }, 
+      { SC_(4.0222166443258654897730630747219827585656e-32), SC_(1.0411048804180657164102538197266671779961e-26), SC_(9.1114250440145882258368180230817564743535e-31), SC_(5.1030254378178664249026340625844284476833e-14) }, 
+      { SC_(7.1188613795049454297903766717688101039963e-32), SC_(2.3247959583416859581226265787229356973853e-21), SC_(1.1725184129000169654437625013052600539929e-29), SC_(2.4108069611185385292598284955987729191085e-11) }, 
+      { SC_(7.5654393240956127989365014790470331815965e-32), SC_(6.6945583711884843896724444007687557006616e-26), SC_(3.5177418124498563654090814182217282490850e-22), SC_(9.3824354393376332745395675786759900646397e-12) }, 
+      { SC_(7.7194132148795963615990483874798948650741e-32), SC_(8.2481992156463457277482120844069868326187e-13), SC_(1.5703642901737160273035264000000000000000e+25), SC_(1.9813911086492464797710435189115898636152e+12) }, 
+      { SC_(7.7874296690068755613851354209966484444841e-32), SC_(2.0782488162753068680756785929774964910718e-26), SC_(1.1621437145947766111930832266807556152344e-10), SC_(5.3901384829027829052663255062486031470943e-06) }, 
+      { SC_(8.0039874667758131221156918470394910989716e-32), SC_(5.3249444098867200000000000000000000000000e+14), SC_(1.3591955339009587078180629760026931762695e-09), SC_(1.1537920533924993193058678459182543523484e+07) }, 
+      { SC_(8.2435702601414822394085859000051744906733e-32), SC_(4.3764065951108932495117187500000000000000e-02), SC_(4.4563604229324800000000000000000000000000e+14), SC_(1.0555046687405613334631418297816259893593e+07) }, 
+      { SC_(8.6430490848305776038291733560782452395776e-32), SC_(1.6506731981280609034001827239990234375000e-07), SC_(1.5222772800000000000000000000000000000000e+08), SC_(6.1690300696301316988491488603758457809799e+03) }, 
+      { SC_(9.1448911330836285867311863585491663643519e-32), SC_(1.1898920528483413717728998102281123979383e-24), SC_(9.5642413944005966186523437500000000000000e-03), SC_(4.8898469798145515738279938103273784119603e-02) }, 
+      { SC_(9.3327950805569220671674968627606795581969e-32), SC_(4.8976274414062500000000000000000000000000e+03), SC_(6.3141887894513254400000000000000000000000e+17), SC_(3.9730935017477767864076202424361734807971e+08) }, 
+      { SC_(1.0307256387501581965523420077387176780195e-31), SC_(1.7531509145600000000000000000000000000000e+13), SC_(2.9346846121054324333515817002648873312864e-17), SC_(2.0935322511009951002158695643591497042553e+06) }, 
+      { SC_(1.1192858549984532684289462590955432784670e-31), SC_(1.3954909970314437787143207733424224263608e-24), SC_(2.4581588800000000000000000000000000000000e+08), SC_(7.8392583832911133354663437571966379280684e+03) }, 
+      { SC_(1.1207676831770998440614916483743656413684e-31), SC_(7.2723598632812500000000000000000000000000e+03), SC_(3.6385473953792000000000000000000000000000e+13), SC_(3.0160186521905641011554811733827822865490e+06) }, 
+      { SC_(1.1404405215335914833373548293140097005833e-31), SC_(2.2341125949820161956070607711666298200726e-17), SC_(7.5615730565914418548345565795898437500000e-07), SC_(4.3478652979070552741130844392144201922217e-04) }, 
+      { SC_(1.1722666784337996709293559804383408356365e-31), SC_(1.6896015729248058955549114368000000000000e+28), SC_(3.2793202688000000000000000000000000000000e+10), SC_(6.4992337489214949094686035782033542274326e+13) }, 
+      { SC_(1.2048759496705256664591659038437694307603e-31), SC_(2.1627526862340096000000000000000000000000e+16), SC_(1.3544430704958754160329110925467712097727e-27), SC_(7.3531501518635018282964996258056557723449e+07) }, 
+      { SC_(1.3072762013065321869970924654425423073693e-31), SC_(1.0474774159069816685183096288804804343230e-24), SC_(7.0026227246694400000000000000000000000000e+14), SC_(1.3231234565101474309211209383641144294020e+07) }, 
+      { SC_(1.5315316062823944152448313658257311154534e-31), SC_(9.5040380859375000000000000000000000000000e+03), SC_(9.5736267076505744021913600000000000000000e+24), SC_(1.5470638890855941637197871641896601705605e+12) }, 
+      { SC_(1.5327201486205108301441385553385165280583e-31), SC_(4.6155710767934367334400000000000000000000e+20), SC_(2.1352810213901521335326796386653678292240e-31), SC_(1.0741940091055987561129885722102316987750e+10) }, 
+      { SC_(1.6065060465710608992480869446536106114795e-31), SC_(7.1216149750217466382777934371072532144966e-31), SC_(9.6591959061168128000000000000000000000000e+17), SC_(4.9140604153074911091529029581326298690454e+08) }, 
+      { SC_(1.6356578362737133005307084232821074153911e-31), SC_(6.2347960128050772254937328398227691650391e-11), SC_(6.1418953256620056890824344009160995483398e-10), SC_(1.3705042723669837995741417048401179452686e-05) }, 
+      { SC_(1.6545594327866304369725933161796799592168e-31), SC_(3.7602552003141868951566206824566052091541e-17), SC_(3.2196853114120540378939594461371598299593e-15), SC_(2.8888435982041098472921289400616714069851e-08) }, 
+      { SC_(1.6957931885259044737196190626850544486541e-31), SC_(3.3232738949529600000000000000000000000000e+14), SC_(6.1079510000000000000000000000000000000000e+06), SC_(9.1149252507395079616800489295510792730658e+06) }, 
+      { SC_(1.7894256628979977161931084121999940392014e-31), SC_(1.5522605162668597168404692992000000000000e+28), SC_(4.2132505768677219748497009277343750000000e-06), SC_(6.2294873710981622730062435379932536102132e+13) }, 
+      { SC_(1.8465154268366434246776228521086519561378e-31), SC_(3.1077640869625611230731010437011718750000e-06), SC_(7.8545227459538739789824000000000000000000e+23), SC_(4.4312872695058582657869328283480695382854e+11) }, 
+      { SC_(1.9189482132399619586311484287957495125593e-31), SC_(1.0864251720477113849483430385589599609375e-08), SC_(1.1709810400000000000000000000000000000000e+08), SC_(5.4105938675897724915484751254804069641660e+03) }, 
+      { SC_(1.9858359576915815979520838814894622916694e-31), SC_(1.3903024579418588289433600000000000000000e+23), SC_(6.4386802909720958210115782094362657517195e-15), SC_(1.8643379910452522536607881187404874632970e+11) }, 
+      { SC_(2.0520355677502298701658544358142851681597e-31), SC_(1.7880302788811987463998050323311383866471e-25), SC_(3.6161928125000000000000000000000000000000e+05), SC_(3.0067394352105072292298063245047898307305e+02) }, 
+      { SC_(2.1442279439931307282133312861974737855270e-31), SC_(1.1196104665942429036043144100842985921851e-21), SC_(3.7392591800688990133494371548295021057129e-10), SC_(9.6685820835158692581752661058205075641425e-06) }, 
+      { SC_(2.1527991786015865198064361255322835121114e-31), SC_(9.3067960000000000000000000000000000000000e+07), SC_(2.4057926567518230334668800000000000000000e+24), SC_(7.7553089183343059053973188039576677920862e+11) }, 
+      { SC_(2.4755530168147708496669009603262433967261e-31), SC_(9.8354606143244754986494923158003325038474e-29), SC_(8.5892461356706917285919189453125000000000e-05), SC_(4.6339092933695550836005464002239903350229e-03) }, 
+      { SC_(2.5647570513190112884116196886845056211314e-31), SC_(1.4231621436342100541944279265202388806699e-20), SC_(4.0793710977838219264000000000000000000000e+19), SC_(3.1934977288953181305032081496430362171269e+09) }, 
+      { SC_(2.5931673391851649907342144883053226324694e-31), SC_(6.1113262176513671875000000000000000000000e-01), SC_(4.0582235815936000000000000000000000000000e+13), SC_(3.1852094050449126962133486307591863981204e+06) }, 
+      { SC_(2.6335890634268909912707354316107839945926e-31), SC_(2.6911281250000000000000000000000000000000e+04), SC_(3.8621646817773580551147460937500000000000e-03), SC_(8.2023342867686179694280504362925823127915e+01) }, 
+      { SC_(2.6489106918943788511071015373842461892064e-31), SC_(8.0551827432259097763744826181664393516257e-16), SC_(4.1777858116084519927808000000000000000000e+22), SC_(1.0219816304132442664475432773915084258189e+11) }, 
+      { SC_(2.7445707764722054573030861605522404313233e-31), SC_(3.1075676987685026804701369278476032444522e-27), SC_(4.9994481250000000000000000000000000000000e+05), SC_(3.5353387832709894339037895716591998006687e+02) }, 
+      { SC_(2.7775022507104918418388303146425216439874e-31), SC_(9.0374893849707753871769600000000000000000e+23), SC_(6.0498291015625000000000000000000000000000e+01), SC_(4.7532855439608231543664250510122606127707e+11) }, 
+      { SC_(2.8172997874519312077086198588467179936557e-31), SC_(1.5985073089599609375000000000000000000000e+01), SC_(7.3721893729104294445964029591777944006026e-16), SC_(1.9990668504079362011507934860539472923511e+00) }, 
+      { SC_(2.9616859936623029467699213614610338747113e-31), SC_(2.1313052275218069553375244140625000000000e-04), SC_(2.7088466580948988848831504583358764648438e-08), SC_(7.3019870818831758639277737209045275643223e-03) }, 
+      { SC_(3.0731604739394821157256125847588938768302e-31), SC_(3.2121662109375000000000000000000000000000e+04), SC_(4.8758069657600000000000000000000000000000e+11), SC_(3.4913499918303049943350254956525440191602e+05) }, 
+      { SC_(3.1980753215250931555899167478760455915801e-31), SC_(6.8417852383779911040755332899593657321592e-28), SC_(7.1485778808593750000000000000000000000000e+02), SC_(1.3368412284990479564080855596060254240840e+01) }, 
+      { SC_(3.2490134884270156690877291957381120524353e-31), SC_(9.2654556250000000000000000000000000000000e+05), SC_(1.2626930345579098627112960000000000000000e+24), SC_(5.6184807433992106788256821821790655452023e+11) }, 
+      { SC_(3.2636721380806397587696009341045809004868e-31), SC_(5.3230639451840033871121704578399658203125e-08), SC_(4.7024658472727409730396175291389226913452e-12), SC_(1.1538712917549269468355832713675621743929e-04) }, 
+      { SC_(3.2651290457790489019069773861688141517799e-31), SC_(3.4247090572488620392841216000000000000000e+25), SC_(5.7053820000000000000000000000000000000000e+07), SC_(2.9260506904567042040185448642989912752022e+12) }, 
+      { SC_(3.3475236766078459935755348175142553514227e-31), SC_(2.2505682136397808790206909179687500000000e-04), SC_(3.0509169783500178038957539328000000000000e+28), SC_(8.7334371503292130291042093948938158751304e+13) }, 
+      { SC_(3.4275562690881007807255798696618021706004e-31), SC_(2.0853734016418457031250000000000000000000e-01), SC_(3.1394608675359619797284415558594565306559e-26), SC_(2.2832944409568850561596633404117802972264e-01) }, 
+      { SC_(3.6402532732111976203649637774217920813837e-31), SC_(3.1767941125814792892823319347200000000000e+29), SC_(1.8395241581117440000000000000000000000000e+15), SC_(2.8181528137158376575423094137864775200724e+14) }, 
+      { SC_(3.7351227202886611559830886283948506410577e-31), SC_(3.6404836000000000000000000000000000000000e+07), SC_(4.0963741692427605643441260174775209179643e-18), SC_(3.0168210089430231226881488411279288459396e+03) }, 
+      { SC_(3.8237874379847443292191513004298352991459e-31), SC_(2.5044700622558593750000000000000000000000e+01), SC_(3.1085563886773027487964160542333047487773e-16), SC_(2.5022340329472880900571074524753041716369e+00) }, 
+      { SC_(3.8931721675363806716645139432759155725249e-31), SC_(9.6632616553257039770670858240000000000000e+27), SC_(3.6605159175285071793231616160419882727295e-23), SC_(4.9150945197741884262499110284821651943878e+13) }, 
+      { SC_(3.9559094765341169782523133810040040465957e-31), SC_(1.9349204161638816496242461451249283754805e-18), SC_(3.1537805312000000000000000000000000000000e+10), SC_(8.8794432978650187447810976619034749449493e+04) }, 
+      { SC_(4.0112790220397693511976663718640909292072e-31), SC_(1.9320994796061222502400000000000000000000e+20), SC_(1.4155201171875000000000000000000000000000e+04), SC_(6.9499990640397301516820744459443485191564e+09) }, 
+      { SC_(4.1908550622352272535550215652039994013231e-31), SC_(3.5554803531040294912318744380286261730362e-16), SC_(2.8581839518878394371538944000000000000000e+25), SC_(2.6730993022556417166763719638079419102296e+12) }, 
+      { SC_(4.4825332966912034263973232871526445547498e-31), SC_(2.6210503074213251566796800000000000000000e+23), SC_(1.5801957031250000000000000000000000000000e+04), SC_(2.5598097133484967110266904954594078421446e+11) }, 
+      { SC_(4.5057229790464851854395273340643501285836e-31), SC_(3.9244537353515625000000000000000000000000e+02), SC_(4.2848571912834643171663628891110420227051e-10), SC_(9.9051170303716873860933111213826801792902e+00) }, 
+      { SC_(4.6524684024189572555293220909088710567146e-31), SC_(7.6109835100979239541629794985055923461914e-10), SC_(1.1959735956635398287634228144810100147311e-20), SC_(1.3794005502111690152201589537525522220301e-05) }, 
+      { SC_(4.7338770285862846124361953460468902366828e-31), SC_(1.4144875000000000000000000000000000000000e+07), SC_(3.2485068004461936652660369873046875000000e-06), SC_(1.8804836478982041685939852506020711437077e+03) }, 
+      { SC_(4.7952166748008932191770199560322214606427e-31), SC_(3.5345746596249227877706289291381835937500e-07), SC_(9.0911000879304941503478935255211368371420e-20), SC_(2.9726144467618507395475534907183240448326e-04) }, 
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+      { SC_(4.9458545545127036360780572262400000000000e+29), SC_(2.7141365625000000000000000000000000000000e+05), SC_(4.4577677606001416601600000000000000000000e+20), SC_(3.5163385093321632713983612487766257590468e+14) }, 
+      { SC_(5.0098010635305380758457575014400000000000e+29), SC_(5.2696953747176868598951771094363039082964e-17), SC_(1.9066817569246552466211142018437385559082e-11), SC_(3.5389974087057968895121954981034715836274e+14) }, 
+      { SC_(5.0708382170056061845902039449600000000000e+29), SC_(2.7103825049169459937280000000000000000000e+21), SC_(6.3251591464474898884873255155980587005615e-11), SC_(3.5604910121892499229001988542890620041456e+14) }, 
+      { SC_(5.1252489458319116071707921612800000000000e+29), SC_(3.2880468750000000000000000000000000000000e+02), SC_(1.1624201127145773081221448094768611269956e-19), SC_(3.5795422004188997992189481138182522138005e+14) }, 
+      { SC_(5.1649447806975952152655036416000000000000e+29), SC_(1.8844718750000000000000000000000000000000e+06), SC_(1.9200364736550010880000000000000000000000e+18), SC_(3.5933775132065062006725537135290045508021e+14) }, 
+      { SC_(5.1993632765713423374410055680000000000000e+29), SC_(1.5533021535674151891726069152355194091797e-09), SC_(4.7501338293973747964047776731359501098395e-24), SC_(3.6053305245744606825502399962766787357115e+14) }, 
+      { SC_(5.2859238764130243046364361523200000000000e+29), SC_(2.7404523437500000000000000000000000000000e+04), SC_(4.2394065856933593750000000000000000000000e+00), SC_(3.6352179702230457533666628424100998212166e+14) }, 
+      { SC_(5.3977634929321667974465899724800000000000e+29), SC_(3.2989887396787993271953205525696267708113e-21), SC_(1.8406060384263235174400000000000000000000e+20), SC_(3.6734736676017273230070152022923349834492e+14) }, 
+      { SC_(5.5826282735851309655548703539200000000000e+29), SC_(3.9608708679814189037282918400000000000000e+26), SC_(1.2976950243548390773185019497759640216827e-12), SC_(3.7418301876089086028912118512966904500332e+14) }, 
+      { SC_(5.6527629716421177884105978675200000000000e+29), SC_(7.4075253106489950241643078768548632504496e-26), SC_(1.8761479928710702037831202504403194097904e-19), SC_(3.7592429329727141845272373825958837478703e+14) }, 
+      { SC_(5.8771161808248379297958042009600000000000e+29), SC_(7.9383788108825683593750000000000000000000e+00), SC_(4.9537190719389696000000000000000000000000e+16), SC_(3.8331175891279194636503512003528415098819e+14) }, 
+      { SC_(5.9320138800828568701908287488000000000000e+29), SC_(6.2073680691200000000000000000000000000000e+11), SC_(1.2379397659033600000000000000000000000000e+14), SC_(3.8509784081720324661827506078658511696617e+14) }, 
+      { SC_(5.9899029151657847586500168908800000000000e+29), SC_(2.3406341219390323776343244800000000000000e+26), SC_(3.1977710602891479913997829775951231567888e-17), SC_(3.8733603317468571031793559554234512699388e+14) }, 
+      { SC_(6.0017930783910132661548692275200000000000e+29), SC_(4.0807976722717285156250000000000000000000e+00), SC_(3.1983745252743830960473850654493055335504e-28), SC_(3.8735620165394968367399589137575672776216e+14) }, 
+      { SC_(6.2236668562755675290170766131200000000000e+29), SC_(7.4398772014165427595835439520495155352187e-22), SC_(3.3207918032908541849763840000000000000000e+24), SC_(3.9445842242410915815576170496195185091788e+14) }, 
+      { SC_(6.2743854500909061481837887488000000000000e+29), SC_(5.9343701601028442382812500000000000000000e-01), SC_(1.1157997656250000000000000000000000000000e+05), SC_(3.9605509244582710415680469461042620627656e+14) }, 
+      { SC_(6.3138893679827259338970156236800000000000e+29), SC_(1.7144226680424323969187840000000000000000e+24), SC_(3.0351838096976280212402343750000000000000e-02), SC_(3.9730386446983295476218622568398180735713e+14) }, 
+      { SC_(6.6917081541791506575788290867200000000000e+29), SC_(1.0509630126953125000000000000000000000000e+03), SC_(1.5045630756896355428864353598328307271004e-12), SC_(4.0901430764030586224637753109422988280986e+14) }, 
+      { SC_(7.2389548716800166235227763507200000000000e+29), SC_(4.7695682286387200000000000000000000000000e+14), SC_(3.2996129544790343680000000000000000000000e+18), SC_(4.2541023942014377540467790231991032452031e+14) }, 
+      { SC_(7.4289488979120144854763647795200000000000e+29), SC_(5.8784427839152732793203453469901554271357e-27), SC_(3.8313216646201908588409423828125000000000e-04), SC_(4.3095675241003053824851556936696558170748e+14) }, 
+      { SC_(7.6043186996198616301321794355200000000000e+29), SC_(4.9640852917782942593794004437768307980150e-16), SC_(3.8229311037978164078066008064000000000000e+28), SC_(4.6249685742275247957374737845163157713012e+14) }, 
+      { SC_(7.9871719062763440251834099302400000000000e+29), SC_(1.1531139631221728870400000000000000000000e+20), SC_(1.8592231038142303604933688465693468941488e-29), SC_(4.4685489592154905424737073227041526984466e+14) }, 
+      { SC_(8.2779963904933000334533669683200000000000e+29), SC_(2.6841423181322987545627256622537970542908e-11), SC_(4.5726972392521851414418505550954496818861e-23), SC_(4.5491747577152111516609616179381038625079e+14) }, 
+      { SC_(8.3440543640129551489890149990400000000000e+29), SC_(6.0397285223007202148437500000000000000000e-01), SC_(2.8361295699141919612884521484375000000000e-04), SC_(4.5672897773222565555389642414788424120531e+14) }, 
+      { SC_(8.4095834324865288642607290777600000000000e+29), SC_(2.6701527485193417147443101233861284526938e-17), SC_(1.6771620059209934045184000000000000000000e+22), SC_(4.5851894911680662120136349372935189724839e+14) }, 
+      { SC_(8.8217636683695876448038630195200000000000e+29), SC_(2.6185059898953070705055964917384869750094e-18), SC_(9.0713019955978896509407594095364402164705e-17), SC_(4.6962122152777518101290181454001918281250e+14) }, 
+      { SC_(8.8747410645210124726691902259200000000000e+29), SC_(8.6629758299668468572067577841099293038588e-31), SC_(1.2913552112877368927001953125000000000000e-02), SC_(4.7102922055115148855623202347231328339915e+14) }, 
+      { SC_(9.1593849154851886892834619392000000000000e+29), SC_(4.5046290000000000000000000000000000000000e+06), SC_(2.7954134765625000000000000000000000000000e+04), SC_(4.7852337757640401118781327472419513363544e+14) }, 
+      { SC_(9.5019491580457390488011407360000000000000e+29), SC_(9.2086561984208574195850805248000000000000e+28), SC_(4.6058845174162062500167680000000000000000e+24), SC_(5.3722244538733513640482047544203049957513e+14) }, 
+      { SC_(9.5137860529770407867079825817600000000000e+29), SC_(1.5922748275443154852837324142456054687500e-07), SC_(1.7812658795315200000000000000000000000000e+14), SC_(4.8769319384673276930250587678631848138161e+14) }, 
+      { SC_(9.7399609622541927224308242841600000000000e+29), SC_(2.9092759451510019630404713097959756851196e-11), SC_(4.2995371226804603853599573426436109002680e-15), SC_(4.9345620277422272773597622647882377645694e+14) }, 
+      { SC_(9.8836863750549896892954705920000000000000e+29), SC_(3.7737750904335294493626150294644850789866e-30), SC_(2.0708064169677742327735359140206128358841e-12), SC_(4.9708365430415708071128329141677016556440e+14) }, 
+      { SC_(9.8845092001909648962775049830400000000000e+29), SC_(8.1725302022658190632550400000000000000000e+24), SC_(4.4612758789363786475110400000000000000000e+24), SC_(4.9712551124688390314301022411424719700068e+14) }, 
+      { SC_(1.0699668990891177870201024675840000000000e+30), SC_(5.6348618119955062866210937500000000000000e-02), SC_(1.1897118383785709738731384277343750000000e-05), SC_(5.1719602161296585785150353467712607093881e+14) }, 
+      { SC_(1.0792000700364245173419208867840000000000e+30), SC_(6.6901612656303783538056561609221051245555e-21), SC_(4.2723355823767544815325020160000000000000e+27), SC_(5.2318246175741793183287850243395421862180e+14) }, 
+      { SC_(1.0900022755818635845038610841600000000000e+30), SC_(6.2040995000000000000000000000000000000000e+06), SC_(3.9506387050636249114177189767360687255859e-10), SC_(5.2201587034827389060481384463357204715255e+14) }, 
+      { SC_(1.1094420294348579993761066516480000000000e+30), SC_(2.9333664315345231443643569946289062500000e-06), SC_(5.5360951974751562508245348889041829304469e-23), SC_(5.2665027044397736627659068811082358723206e+14) }, 
+      { SC_(1.1210961498938067505345976074240000000000e+30), SC_(2.4133712281600000000000000000000000000000e+11), SC_(3.9466905727502225259772179590868617559768e-29), SC_(5.2940913996025010918984072118956786497984e+14) }, 
+      { SC_(1.1241545055438405846036339752960000000000e+30), SC_(1.8608855775759103323707677191123366355896e-11), SC_(2.1568896031033585885489729967734451321348e-20), SC_(5.3013076347818199990239999408725232952142e+14) }, 
+      { SC_(1.1346970942695174101503060213760000000000e+30), SC_(8.2726808904913139636633600000000000000000e+23), SC_(1.2234718793635579459078144282102584838867e-09), SC_(5.3261235264364735855397248500842724881620e+14) }, 
+      { SC_(1.1707403108869628680222896291840000000000e+30), SC_(8.9865224609375000000000000000000000000000e+03), SC_(3.5724637508392333984375000000000000000000e+00), SC_(5.4100376867609777955230828387368018819567e+14) }, 
+      { SC_(1.1860917042916117847686491668480000000000e+30), SC_(4.3954396800000000000000000000000000000000e+08), SC_(1.5272757500000000000000000000000000000000e+06), SC_(5.4453918690292891187788664898383219636534e+14) }, 
+      { SC_(1.1862981283753109827002302464000000000000e+30), SC_(6.7803423965184000000000000000000000000000e+13), SC_(3.5269804800000000000000000000000000000000e+08), SC_(5.4458656988015053113899993763590158031893e+14) }, 
+      { SC_(1.2054018764083162565762309160960000000000e+30), SC_(3.8507751980878168489346108707693794315219e-19), SC_(4.0277950000000000000000000000000000000000e+06), SC_(5.4895397721674178990155019280870210760929e+14) }, 
+      { SC_(1.2201812967845600018943075942400000000000e+30), SC_(5.8934980814635322572800000000000000000000e+20), SC_(3.4797973757167849939173773156537994299953e-21), SC_(5.5230908548293160086118983393107718232206e+14) }, 
+      { SC_(1.2497233636913003395506619023360000000000e+30), SC_(1.6580990452902188089298095070143768689844e-24), SC_(1.1644522659480571746826171875000000000000e-02), SC_(5.5895513319301852967365926558789527259506e+14) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rg_00x.ipp b/libs/math/test/ellint_rg_00x.ipp
new file mode 100644
index 000000000..683ef899b
--- /dev/null
+++ b/libs/math/test/ellint_rg_00x.ipp
@@ -0,0 +1,670 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 663> ellint_rg_00x = {{
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8695000169531189693636701563837803699463e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.0913389407991590131117739644875098957769e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(3.8316687838956488016434687257271923313486e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(5.3172158517843024689477691002220959899307e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(5.8930427511845963170368827281430457466577e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.1015482067254804730500197721409557719541e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.5357141094428259087485341009850587033597e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.7349585963891261367539507231389649871186e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(2.8369263961695202702934514450953761444918e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(3.5915905052801518433569362444869627546944e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(4.6524367178817738822406615091874289995103e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(7.8119829470338423930192781664793621737565e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.0042694986341419504582649316904466296073e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(1.3692829082753103947758067732865084585846e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.2093203505333961026893840214478165808216e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(3.5463853651736465659350239323451562267196e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(4.9706345239029507266434873446587342440930e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(7.0991387432498912292619373853169078278675e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(9.9599960742576043212497479078858903147334e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(1.4095616199426038257903753238904109076566e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(1.5289801939020414609906770546277462295745e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.6401906826019526228015819090913075955906e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(3.9897768654231557860058176028361758280846e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(5.6574333504819360450100112265404995427795e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(7.9523245579735963214733273604345486304799e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(8.4689497721487256772525847403176899231508e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(1.3855694547098548554317861053030936606666e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(2.1559207634003282454531254669497672386290e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.0507753021192346839846744931085396804866e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(3.6620992141996808033471281550077436845216e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(4.8593882195716056509977625375072570125253e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(6.4464608291029104010136202972823608894938e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(1.0844598492317095988877630610447335661034e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(1.3566200698452596197711626216879321590467e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5176648333267374679682460563050603066757e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(3.2940922350680393113450713321419925149264e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(4.8702839070930842168909037214134643751813e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(7.0513571600661542320124270053683486242623e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(1.0185021044577462080450357978829247002679e-11) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(1.2617704585597710031792788671092631410921e-11) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.8724762729639497382499017608610594455516e-11) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0458090701845262557668142034197900080983e-21), SC_(2.7594424573564341023491743425095842340473e-11) }, 
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+      { SC_(4.1469385637888000000000000000000000000000e+14), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0182016700768075247775328261529706001093e+07) }, 
+      { SC_(1.1188403227852800000000000000000000000000e+15), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6724535290892838437103230254394442464446e+07) }, 
+      { SC_(1.5218330776371200000000000000000000000000e+15), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9505339510228474872108180987843137274909e+07) }, 
+      { SC_(2.4040102334300160000000000000000000000000e+15), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4515353522996644724522416766580487984110e+07) }, 
+      { SC_(8.2453193010708480000000000000000000000000e+15), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5401870283807824649657807791056690290121e+07) }, 
+      { SC_(1.6155287555670016000000000000000000000000e+16), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3551726089206294664933545566905994380513e+07) }, 
+      { SC_(2.8557572558553088000000000000000000000000e+16), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.4494929668224897576252690023602492132655e+07) }, 
+      { SC_(5.7448039442284544000000000000000000000000e+16), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1984160321262034919039170024351184395787e+08) }, 
+      { SC_(1.1166935585443020800000000000000000000000e+17), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6708482565334157836639198675795865446116e+08) }, 
+      { SC_(2.4972259272897331200000000000000000000000e+17), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4986125786572701075164434727674141320045e+08) }, 
+      { SC_(5.5259337852138291200000000000000000000000e+17), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7168312395149948212021552499299471349304e+08) }, 
+      { SC_(9.7723521452893798400000000000000000000000e+17), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9427603991315874424386279810234901058354e+08) }, 
+      { SC_(1.4824715277303808000000000000000000000000e+18), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0878393698634592012881375194929894030026e+08) }, 
+      { SC_(3.8734002442595205120000000000000000000000e+18), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8404779409583563579982758993454072232618e+08) }, 
+      { SC_(8.1036557834067640320000000000000000000000e+18), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4233460386890079823039026860738361513588e+09) }, 
+      { SC_(1.2841886794098147328000000000000000000000e+19), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7917789201027387999378418680657689911227e+09) }, 
+      { SC_(3.2350587576425381888000000000000000000000e+19), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8438788465942682404352406189686891898257e+09) }, 
+      { SC_(5.7611295478532538368000000000000000000000e+19), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7951052514565567173503873876938543014956e+09) }, 
+      { SC_(1.0185889793465699532800000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0462584638189361011659049123706356174830e+09) }, 
+      { SC_(1.7827935411160009932800000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.6760645988411484836933021261622953103093e+09) }, 
+      { SC_(4.6273923221278425088000000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0755687242254493089691089832607252513208e+10) }, 
+      { SC_(9.0160094215120355328000000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5013335256957425591744986482445062454814e+10) }, 
+      { SC_(1.2701445734077667737600000000000000000000e+21), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7819543859255816917399090807579476626570e+10) }, 
+      { SC_(3.3155928298666191749120000000000000000000e+21), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8790592343101501282248031194835323390544e+10) }, 
+      { SC_(4.9771373655898078576640000000000000000000e+21), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5274414827144219606999565899630180855368e+10) }, 
+      { SC_(1.2776477955669473886208000000000000000000e+22), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6516541728217664110503805226167841534809e+10) }, 
+      { SC_(2.8915946875483827732480000000000000000000e+22), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5023448053292668925164570124424962053192e+10) }, 
+      { SC_(6.0175170680284052979712000000000000000000e+22), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2265313966658584172310223391145047268394e+11) }, 
+      { SC_(1.3443007097640605397811200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8332353297954279141595395343201473415432e+11) }, 
+      { SC_(2.0496508805231257269043200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2636535073433421376849695081204659475155e+11) }, 
+      { SC_(5.8451880892949689322700800000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8226914894138949243758722522920147414055e+11) }, 
+      { SC_(1.1877492456483867611627520000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.4491954581579902279442000415645706970627e+11) }, 
+      { SC_(1.3659727517469077458124800000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8437418486508020664440939443696056584270e+11) }, 
+      { SC_(2.7912598561413239479992320000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3535319717789491860181472312941522985110e+11) }, 
+      { SC_(7.5863641567366151374110720000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3771677600002672820168139604721517325753e+12) }, 
+      { SC_(1.3490721907030264366759936000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8364859043176906702761865135501381291447e+12) }, 
+      { SC_(2.8422143749589281569505280000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6656211166250391167717711954276783595069e+12) }, 
+      { SC_(5.3668403805728358185041920000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6629361107494203121248065115411960579278e+12) }, 
+      { SC_(7.8292113919495847997865984000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.4241415528748582299770320591950009202687e+12) }, 
+      { SC_(2.6723325902934740461577830400000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1736353452632599784077638090281567199672e+12) }, 
+      { SC_(4.1381935158038852363563827200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0171275136141836317192779281982309228935e+13) }, 
+      { SC_(8.5948309609429296171135795200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4658471067051066783568147427705258231754e+13) }, 
+      { SC_(1.4387120406003935998650613760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8965178885264921222260202286143534060863e+13) }, 
+      { SC_(4.7722405758868522542091468800000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4540702713924525243639503557917572766697e+13) }, 
+      { SC_(8.8848657238129553346144501760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7129782844325082182310626238780470804039e+13) }, 
+      { SC_(1.4222615588981551190220210176000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9629304014430587663297316732825619498070e+13) }, 
+      { SC_(2.5971287269650318385179787264000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.0578047987107379395246253358866915814541e+13) }, 
+      { SC_(7.3788279667987478486078980096000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3581999085921361385489614154149704046472e+14) }, 
+      { SC_(1.2110285949621213703269305548800000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7399918067063716567060561978883081855268e+14) }, 
+      { SC_(2.5675627459944222489782622617600000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5335561696923270744676233140894501246453e+14) }, 
+      { SC_(3.6940874261654810399932311142400000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0389502406939312371731261423476572875272e+14) }, 
+      { SC_(7.0959714371010081353141059584000000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2118794608526631407393399696705143265567e+14) }, 
+      { SC_(2.0307529873257442803568470917120000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.1252245356299900262388215292670498952268e+14) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.6590031373679192010017178725311277183004e+14) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2653085988634809413230820274833081362941e+15) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8433285386346460518233700036843373483381e+15) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8960622831697886278887663202234470113675e+15) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9388373945892361714711325360660524509593e+15) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8533182821997908655188024659144315251737e+15) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3434593750369609507568693568489478189925e+15) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1909109246819302883781302864348400525701e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7961988092527235108682319995292332426926e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1696258396168112414049115446739966517574e+16) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rg_xxx.ipp b/libs/math/test/ellint_rg_xxx.ipp
new file mode 100644
index 000000000..70896abc1
--- /dev/null
+++ b/libs/math/test/ellint_rg_xxx.ipp
@@ -0,0 +1,670 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 663> ellint_rg_xxx = {{
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.9366037595729562344462924962175731194096e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.2850675262904487353938250899031082682224e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.0187712512379536673407044223999410043702e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3522631287583797670024193040135750338626e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(9.2567699072060558024969490712618189118285e-17) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.7303078769118901630981225560868245850791e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(2.4122940821198867982217508980542043434085e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.7252665903492689247397148938036378699118e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(4.4562335624905661150827292985428353635628e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.6416571730454892665777100989060794392367e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(7.3080305070943951348182761789841396678499e-16) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(1.2271034118185131062707668698236451086310e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.5775028395666626232037304447055895962141e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(2.1508645626618909191827230658228499084748e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(3.4703922913310720158451582695684174704763e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.5706491050139421150612202126909806462080e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(7.8078544519866547604555660361421178698590e-15) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(1.1151301061304267829287707330029776978044e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(1.5645125248335435252365433492757109853206e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(2.2141342149969061867156665385009433470888e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(2.4017164723234755178282112971381700594179e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(4.1472018262692579480491163274028454942961e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.2671268449379496857957869775423334277517e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(8.8866755260239701126933163035938883725648e-14) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(1.2491482205145775012940843901194642708150e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(1.3302995193901694961731116077806786980132e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(2.1764474099774478781645602785392607951471e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(3.3865124160100850013093267925336486187836e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(4.7921466384454848292238914229467528014957e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.7524119940233359209274034551784329634544e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(7.6331091657734707177781044918018356672035e-13) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.0126076991182035452880427943833301075917e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(1.7034655477297168284782266972329790926613e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(2.1309738225691699063540555812982976852896e-12) }, 
+      { SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(3.9547386722903248366200762137236112288968e-12) }, 
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+      { SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(2.4530627933317168344620446782290094536787e+11) }, 
+      { SC_(1.3443007097640605397811200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.8796393221932890650694507866475145694174e+11) }, 
+      { SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(3.6664706595908558283190790686402946830864e+11) }, 
+      { SC_(2.0496508805231257269043200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0496508805231257269043200000000000000000e+23), SC_(3.5557386144713063705348827447885882415037e+11) }, 
+      { SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(4.5273070146866842753699390162409318950310e+11) }, 
+      { SC_(5.8451880892949689322700800000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8451880892949689322700800000000000000000e+23), SC_(6.0046697500414585818591188059013865393139e+11) }, 
+      { SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(7.6453829788277898487517445045840294828110e+11) }, 
+      { SC_(1.1877492456483867611627520000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1877492456483867611627520000000000000000e+24), SC_(8.5595762096620048248191114697833155737359e+11) }, 
+      { SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.0898390916315980455888400083129141394125e+12) }, 
+      { SC_(1.3659727517469077458124800000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3659727517469077458124800000000000000000e+24), SC_(9.1793282305982985820767071764051604606661e+11) }, 
+      { SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.1687483697301604132888187888739211316854e+12) }, 
+      { SC_(2.7912598561413239479992320000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7912598561413239479992320000000000000000e+24), SC_(1.3121697337034103388545839510461208892061e+12) }, 
+      { SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(1.6707063943557898372036294462588304597022e+12) }, 
+      { SC_(7.5863641567366151374110720000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.5863641567366151374110720000000000000000e+24), SC_(2.1632500587887756021486019168216391337751e+12) }, 
+      { SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(2.7543355200005345640336279209443034651506e+12) }, 
+      { SC_(1.3490721907030264366759936000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.8847453127128324782824200225250175586316e+12) }, 
+      { SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(3.6729718086353813405523730271002762582894e+12) }, 
+      { SC_(2.8422143749589281569505280000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8422143749589281569505280000000000000000e+25), SC_(4.1871478586215221779882474449233994985923e+12) }, 
+      { SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(5.3312422332500782335435423908553567190138e+12) }, 
+      { SC_(5.3668403805728358185041920000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.7537265880495740638104596616146086105293e+12) }, 
+      { SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(7.3258722214988406242496130230823921158556e+12) }, 
+      { SC_(7.8292113919495847997865984000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.8292113919495847997865984000000000000000e+25), SC_(6.9494253004764972087998194681455182502770e+12) }, 
+      { SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(8.8482831057497164599540641183900018405375e+12) }, 
+      { SC_(2.6723325902934740461577830400000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6723325902934740461577830400000000000000e+26), SC_(1.2839116376900465379645156897764299799122e+13) }, 
+      { SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(1.6347270690526519956815527618056313439934e+13) }, 
+      { SC_(4.1381935158038852363563827200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.5977001622671858520930535293480353885335e+13) }, 
+      { SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(2.0342550272283672634385558563964618457870e+13) }, 
+      { SC_(8.5948309609429296171135795200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5948309609429296171135795200000000000000e+26), SC_(2.3025472508553084452308520760749900543533e+13) }, 
+      { SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(2.9316942134102133567136294855410516463509e+13) }, 
+      { SC_(1.4387120406003935998650613760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4387120406003935998650613760000000000000e+27), SC_(2.9790433329982270371620087227957023448592e+13) }, 
+      { SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(3.7930357770529842444520404572287068121726e+13) }, 
+      { SC_(4.7722405758868522542091468800000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7722405758868522542091468800000000000000e+27), SC_(5.4256408947947161107175930176800818943854e+13) }, 
+      { SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(6.9081405427849050487279007115835145533393e+13) }, 
+      { SC_(8.8848657238129553346144501760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8848657238129553346144501760000000000000e+27), SC_(7.4031289774506974089681946144414834969091e+13) }, 
+      { SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(9.4259565688650164364621252477560941608079e+13) }, 
+      { SC_(1.4222615588981551190220210176000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4222615588981551190220210176000000000000e+28), SC_(9.3665491715203750251715902989238059343902e+13) }, 
+      { SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.1925860802886117532659463346565123899614e+14) }, 
+      { SC_(2.5971287269650318385179787264000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5971287269650318385179787264000000000000e+28), SC_(1.2657170179845118485075177848201156995334e+14) }, 
+      { SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(1.6115609597421475879049250671773383162908e+14) }, 
+      { SC_(7.3788279667987478486078980096000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3788279667987478486078980096000000000000e+28), SC_(2.1334554274696917945047147294103689831446e+14) }, 
+      { SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(2.7163998171842722770979228308299408092943e+14) }, 
+      { SC_(1.2110285949621213703269305548800000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.7331727386275843637855005414321815043904e+14) }, 
+      { SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(3.4799836134127433134121123957766163710535e+14) }, 
+      { SC_(2.5675627459944222489782622617600000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5675627459944222489782622617600000000000e+29), SC_(3.9797007250812551528851586684976855502777e+14) }, 
+      { SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(5.0671123393846541489352466281789002492906e+14) }, 
+      { SC_(3.6940874261654810399932311142400000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.7735718753944941501879984350680081563380e+14) }, 
+      { SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(6.0779004813878624743462522846953145750545e+14) }, 
+      { SC_(7.0959714371010081353141059584000000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0959714371010081353141059584000000000000e+29), SC_(6.6160047860102328328306000176101801354634e+14) }, 
+      { SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(8.4237589217053262814786799393410286531134e+14) }, 
+      { SC_(2.0307529873257442803568470917120000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.1192276528156461323268927556498335683568e+15) }, 
+      { SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.4250449071259980052477643058534099790454e+15) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.5172326648677909730236842431091492235703e+15) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.9318006274735838402003435745062255436601e+15) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.9875420993567531657222203961314908274387e+15) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(2.5306171977269618826461640549666162725883e+15) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(2.8954936975635066980078481013868564183761e+15) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(3.6866570772692921036467400073686746966762e+15) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(4.5491239965723457288592628821698758881194e+15) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.7921245663395772557775326404468940227350e+15) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.1871113112631529859540522584168184572734e+15) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(7.8776747891784723429422650721321049019186e+15) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(9.1943708572408456033307961256304486661631e+15) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.1706636564399581731037604931828863050347e+16) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.3105875339070502025565113701553064275724e+16) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6686918750073921901513738713697895637985e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189963298841313e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.3818218493638605767562605728696801051402e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773847679055568e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(3.5923976185054470217364639990584664853853e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283326332711e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.3392516792336224828098230893479933035149e+16) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rg_xy0.ipp b/libs/math/test/ellint_rg_xy0.ipp
new file mode 100644
index 000000000..b1d6868fd
--- /dev/null
+++ b/libs/math/test/ellint_rg_xy0.ipp
@@ -0,0 +1,259 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 252> ellint_rg_xy0 = {{
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5773083207076490964863743728583347676603e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7960711391651270067331004172790937905753e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8543386056445638102390883382731952293521e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3623897355108417432714253062626016398084e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7859514698032361519097275514111191936555e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7070042752664199629816247605327492249422e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9838880072852843038915793550888957924643e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5202050894201170277529368379487266881179e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5759756306067477293878084820517125619437e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7654706374840355683930904036501232073455e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7853283259091174187960085217227858518750e+00) }, 
+      { SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9281924805093153786407449470999754362508e+00) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5806345626798833650574532648409670131868e+00) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7991158121674539503143813744460816347531e+00) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8573171561773112979414068637555918629621e+00) }, 
+      { SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3649047355381259634197092469688834331661e+00) }, 
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+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9860694548442189220490474319881899568695e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9865766937637155257898213019737887148474e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9915119681153550533431457187112008569357e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9962961612964938338061846188658197839612e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0086410266099772871179259739042669729882e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0128410324421292231782287099910845510172e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0215821897680873231454933851119447604251e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0225357914089057673503481098766051776660e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0258372359837439078448711416528867734587e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0261886465982118346629150993123761048085e+01) }, 
+      { SC_(3.2238710937500000000000000000000000000000e+04), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0287469636611002878196676894091461267880e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7444386785358161353879501957576954595174e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7461211690729274560240841285099091055654e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7465976359971771178277286432790722692618e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7512365297821185916338907968934707658879e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7557376905975087232692864904778368012665e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7673665865644620635855641993536656470122e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7713268108249962669828699643244896575331e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7795740483555776052944863171877131010676e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7804741510181673658996179228986147639076e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7835909217929228449259818117105822959973e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7839227240213837580774215032300187074292e+01) }, 
+      { SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7863385626763089478205960752617591749891e+01) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rg_xyy.ipp b/libs/math/test/ellint_rg_xyy.ipp
new file mode 100644
index 000000000..2ffa5262d
--- /dev/null
+++ b/libs/math/test/ellint_rg_xyy.ipp
@@ -0,0 +1,6637 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 6630> ellint_rg_xyy = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148566284241e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.6026620002037697365156285938167113855944e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3244098110854226669217201043773494498690e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.9253473601954463687210857075529959946329e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6229848006950593437062903414505592799414e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3824897600473574907856771295522229878549e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.4614570528707957976567012457474009791245e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.7297545688990165059457610610768639332956e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.7578689484636630529539692231780634314724e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.9601285830491756080964906621731853949620e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5197897608417201911304511214148566284241e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9580765006255651058145144123690888937593e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.6026620002037697365156285938167113855944e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0882519098087399784325434880122573322842e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.3244098110854226669217201043773494498690e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.2219707200138981171289989688823753783906e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.9253473601954463687210857075529959946329e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1659212147890511438450762374816127151189e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.6229848006950593437062903414505592799414e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.8325638705553330715074219699177009387259e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.3824897600473574907856771295522229878549e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0025591470888430265074894566000258812133e+01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.4614570528707957976567012457474009791245e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0149633004392424158290760725424032433406e+01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.7297545688990165059457610610768639332956e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0571073757057748147627327614212941718149e+01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.7578689484636630529539692231780634314724e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0615235721208012448424130985071863674768e+01) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.9601285830491756080964906621731853949620e+00) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0932944412273813602607862505109234576766e+01) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148580085170e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.6026620002037697365156285938167127228357e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3244098110854226669217201043773505032569e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.9253473601954463687210857075529968904755e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6229848006950593437062903414505599109361e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3824897600473574907856771295522235455065e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.4614570528707957976567012457474015301281e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.7297545688990165059457610610768644628633e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.7578689484636630529539692231780639588912e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.9601285830491756080964906621731859074264e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5197897608417201911304511214148580085170e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9580765006255651058145144123690889211467e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.6026620002037697365156285938167127228357e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0882519098087399784325434880122573587995e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.3244098110854226669217201043773505032569e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.2219707200138981171289989688823753991493e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.9253473601954463687210857075529968904755e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1659212147890511438450762374816127326996e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(5.6229848006950593437062903414505599109361e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.8325638705553330715074219699177009509988e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.3824897600473574907856771295522235455065e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0025591470888430265074894566000258822945e+01) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.4614570528707957976567012457474015301281e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0149633004392424158290760725424032444087e+01) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.7297545688990165059457610610768644628633e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0571073757057748147627327614212941728403e+01) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.7578689484636630529539692231780639588912e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0615235721208012448424130985071863684980e+01) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.9601285830491756080964906621731859074264e+00) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0932944412273813602607862505109234586682e+01) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148740285701e+00) }, 
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+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.1909109246819302883781302864443931507040e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189965384025493e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1909109246819302883781302864471048054751e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189965985366122e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.1909109246819302883781302864474058631394e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189966052255376e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1909109246819302883781302864484555907588e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189966285661336e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1909109246819302883781302864485679908751e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189966310669082e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1909109246819302883781302864493900326948e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189966493651996e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8706785060302898834078011189963717576268e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8706785060302898834078011189963745572369e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8706785060302898834078011189964027693922e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8706785060302898834078011189964315012299e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8706785060302898834078011189965384025493e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8706785060302898834078011189965985366122e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8706785060302898834078011189966052255376e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8706785060302898834078011189966285661336e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8706785060302898834078011189966310669082e+16) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8706785060302898834078011189966493651996e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.7961988092527235108682319995305480754547e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773847956684096e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7961988092527235108682319995306347632087e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773847975245996e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.7961988092527235108682319995315047980861e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773848162297473e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.7961988092527235108682319995323860058496e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773848352794533e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7961988092527235108682319995356394512858e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849061568799e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7961988092527235108682319995374581870339e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849460268053e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7961988092527235108682319995376601139971e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849504616787e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7961988092527235108682319995383641988941e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849659368981e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7961988092527235108682319995384395896850e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849675949550e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7961988092527235108682319995389909656803e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849797270392e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.8214624917675452573079554773847956684096e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.8214624917675452573079554773847975245996e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.8214624917675452573079554773848162297473e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.8214624917675452573079554773848352794533e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.8214624917675452573079554773849061568799e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.8214624917675452573079554773849460268053e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.8214624917675452573079554773849504616787e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.8214624917675452573079554773849659368981e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.8214624917675452573079554773849675949550e+16) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.8214624917675452573079554773849797270392e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.1696258396168112414049115446750907085131e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283556176965e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.1696258396168112414049115446751628454959e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283571544067e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.1696258396168112414049115446758868577546e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283726401017e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.1696258396168112414049115446766201884698e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283884110511e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.1696258396168112414049115446793277759952e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284470893480e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1696258396168112414049115446808414165515e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284800970267e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.1696258396168112414049115446810094716621e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284837685880e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.1696258396168112414049115446815954534874e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284965802767e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.1696258396168112414049115446816581984455e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284979529556e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.1696258396168112414049115446821170893771e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635285079969156e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.4080402993893805907426551635283556176965e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.4080402993893805907426551635283571544067e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4080402993893805907426551635283726401017e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.4080402993893805907426551635283884110511e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.4080402993893805907426551635284470893480e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.4080402993893805907426551635284800970267e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.4080402993893805907426551635284837685880e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.4080402993893805907426551635284965802767e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.4080402993893805907426551635284979529556e+16) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.4080402993893805907426551635285079969156e+16) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rj_e2.ipp b/libs/math/test/ellint_rj_e2.ipp
new file mode 100644
index 000000000..37c19f1d3
--- /dev/null
+++ b/libs/math/test/ellint_rj_e2.ipp
@@ -0,0 +1,2807 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 2800> ellint_rj_e2 = {{
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.8129868340976131828973869394111298217688e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.5137965761452783346643767774812644148279e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.5154899930654010329380039597788177727381e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.4105211972075747266826943342911867682287e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.6239743764192655049030411741414227319928e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1614192781794980624275319098919303370404e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.1205196106613013134745473581583105957367e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9899475028306767338256621240241429325178e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9769714636367608796702051722737518284070e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8872703186669270363513502724105402104408e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.6616576027347123660379973447738681471459e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.3693174428832726809594941668717443746012e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.4152293085682874725243717835276870751944e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.3333980816236946758017143264569331161798e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5817563474272779795634263295984967233756e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1276185337061246474062146998464182822378e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.0874485839707437687156454229521765810295e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9591893301781807575439366129991972499830e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9464417178884943289705014376845266839563e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8583124557997311768916536155257703497660e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.5479633841200162177976163516995355828255e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.3047673890711486037555014910967610561344e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.6700094534339885708329574164278858398200e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.7569714136751555867792263202841446883874e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.2628798658799863663412115701531021961986e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8715112699956942550556465969267915722175e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8367975854781532683689952573651760004058e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7258484632431141792288084480219075278230e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7148118485650301480358346176503316454884e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6384634254507179946255924457994506476583e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(5.8336993704612138202923627554118097515692e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.6208332446317534959141542768378236861203e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.1850338465977442786079662254965289630977e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.3787225978806407714298105753114380753208e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.0502526542149110341048314220367106076866e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6998984614912736753663876401191640276456e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6687646649662372896655247937260165218291e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.5691894076141687781967974564803171969141e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.5592784252379365182896064830683138653863e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.4906873919920498442860453104413419865321e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4437414129570184749351161690888178010731e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.2871928063830564959467613253915028354439e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.2247377223876618438241835417838514812134e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.6220731947251392831632440521300633238773e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6160584020740620856258587591077733657690e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.3471479012272709532595338254155274533680e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3231602493347514683283889118365894968108e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2463323546848671320694968895420800711360e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2386762346269738629905677285666696350898e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1856431055949317324033679918676421025010e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.0109813431874577070645279510749598694226e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.8712311017605435393500849168107941406496e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.9211287070699200918295458760819449309279e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3806298886799907868451183420888901207622e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4748202108436459246508504294962332334275e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2316757680348838790182396639828440087111e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2099599840374893136880136716061317996668e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1403766617844893474485324084744324434192e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1334397597857213317356330581844288113773e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0853745572409282244833142442346904283885e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9706428353630088972362251121270028487926e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.8324405331473590377097748003332016540283e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.8927140364024362914725857540223405112801e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3579769926072466161090201412269957606547e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4614980693856900831318306636393387598787e-03) }, 
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+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.1992614528071109538621993519467285225104e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1303571983753104847814589056797231002558e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1234877404046069349945004157916634771847e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0758885449453507287967321741577506122242e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.8392902085120965301797491108104305614654e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.7061072724684157257994907718061341987309e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.8000521018073112284034800583414392921849e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.2840369522527754416833384720049903848651e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4179278638881298680291887043133782509498e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1850545107485512341108533088683416639912e-03) }, 
+      { SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.1642459138211340186449331094171885638036e-03) }, 
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+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.3924070339941127019032289790804285874318e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.6506644600743197027122197436354054437692e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.5827368787141779897086197675825255316858e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.3630583069468768254638741423598336622475e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.3409848116685337186683617574970701296491e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.1871462256408543384577138518434144101834e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0853745572409282244833142442346904283885e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.0569936032067975134718671509826731790875e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.5451103310750085145508679300600151675699e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(7.3018402008199148794141897532652429974817e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.0050081303930369470454231272119879555995e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3263085786804095386199443204436663632478e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2640486894300213631196792521155520421755e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.0625712292610047624823886076498311591683e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.0423155749899749462426546996178174326147e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.9010890445079380465306169192615424266565e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0758885449453507287967321741577506122242e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.0478061315045885874859874013624749906186e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.4740547942576501372577857592445302552472e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(7.2430868778749542132958672145281990781667e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.9677594149773256946391208144402845284416e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.2950432521872853467312197902612817121545e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2333223295527956412000585719261969554943e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.0335769408233306691766724710620539157944e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.0134943840136898064136254653263009578410e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.8734693373716863784496258099181335038719e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0448295612971481183258186329990833679440e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.0177177559382571677326263068057487132226e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.2409365209146750923640073220151118632750e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(7.0500873357213859477307427940427288837675e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.8450644773053832990878022718373718576371e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1919596775024813063584261771748332280231e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.1320065714847795076535162233407953682447e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9379439230607189067257062038983908534777e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9184294109282531750493586044664684236543e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7823478799974317272111633276331743265269e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0416755936156874778287864920444060004626e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.0146617640724507391079401596475779225156e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.2172237139021220276263316363485278313087e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(7.0304346106233984023747334007366898899910e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.8325417378294046636821041350140901804231e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1814301233447506055092888863297093366136e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.1216567980356676286868139213012294175954e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9281721955082643851033114305185847314958e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9087154758622882245070014356872827256685e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7730352132920999647332567776412602330408e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0195198233587599243778531900497479043039e-03) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(9.9319120610858443503722160071862765457699e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0504388943047209218732607543933829564921e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.8920980661471248286324345142467723875190e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.7442415294667130231423392952328554908896e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1071398387256842865934836233744006647999e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.0486307503803639432424855726914494372786e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.8592117136015892245495036520122760194302e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.8401615240858628162308712164025395049690e-04) }, 
+      { SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7073042084293302829299809458292405793441e-04) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rj_e3.ipp b/libs/math/test/ellint_rj_e3.ipp
new file mode 100644
index 000000000..5690595e8
--- /dev/null
+++ b/libs/math/test/ellint_rj_e3.ipp
@@ -0,0 +1,2217 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 2210> ellint_rj_e3 = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(6.3184005715838649623578654586095480152918e-13) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.9224343414647430312433258854669870726182e-13) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(9.8481698870830089988969463050504592196018e-14) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(9.6089281806067606000817662782024227232938e-14) }, 
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(8.8580341885591274716342682325964382390155e-14) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(5.6481757907586426628962478337260164675584e-13) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.2942117060858409081054106653191869391825e-13) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(8.8035245802019375368401307301233077711685e-14) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(8.5896604544078048793184620187226129944948e-14) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(7.9184175948803982251783673244132690590808e-14) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(3.0827951584278495148641129118302961787193e-13) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.8896002567620689016137651229245636545848e-13) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(4.8049961542188162567582021383014665072683e-14) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(4.6882683263352931743957675552205541985626e-14) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(4.3219015002768547862791248072269674388520e-14) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.2215103364157740098561264865556331120953e-13) }, 
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+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(8.1472351959505954462009760153600000000000e+29), SC_(3.0723036124033694331629376848559409398283e-46) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(8.3500838815382831119978620518400000000000e+29), SC_(3.0385949794976510548116766277539548129986e-46) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.9284910261031976783175055507780177030324e-46) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.2698681479707212609747314278400000000000e+29), SC_(3.1636087446031273929137459928733371137676e-46) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.3547698749143007791994948812800000000000e+29), SC_(3.1088207045708831109706888362395211849149e-46) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.7172564621688615752143081567748343582770e-46) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.7004479887979056896454824122097210613052e-46) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.6453857716033654294607460968053411224172e-46) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.2338739505816513642973615799668723107053e-46) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.2154696338986762154735258361378469714566e-46) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(7.3270844452856836407413911854109798233182e-47) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(7.2660965928924908963627892534411724443472e-47) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(7.0656531015502443071727095099661202110186e-47) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(3.8543833603747367077751143264506124671185e-47) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(3.8056886123956611885625496785578068493820e-47) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(2.4959920579541072198920795135255143569045e-47) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(2.4788423455516835603522194510144867092450e-47) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.4223209103236261949259257319641126324717e-47) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.7170865028319826966237233253863667125819e-47) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.6975379702105909898237524980571441823928e-47) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.1660859285975575474945504117982223659692e-47) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.1590161167812941715628939804313659177184e-47) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.1356857658983980981556340601270684040531e-47) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(5.9647019510807712225971230425059800234255e-48) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.9046864750029203443842207412115483715888e-48) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(4.2588036231236855787244952483717401647401e-48) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(4.2366196631512055003090057549843827261180e-48) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(4.1633320045481990279241755417251929377308e-48) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.2869630483381444337862446629260753056078e-48) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.2661648145470904193975250273020275168699e-48) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.6931732686884129216391300898060038776338e-48) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.6853956799410394656981241623898384538555e-48) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.6596857351898397231469143629373415540994e-48) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(8.6516979939755994049538220415711954645746e-49) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(8.5800305648398144230766500883447530602905e-49) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(6.6002573633540705027658022864934776350157e-49) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(6.5732706794385645573670907634925619254571e-49) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(6.4840289058468934876042505541175325370369e-49) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.7870695688121189629444250088480351189652e-49) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.7661553223927966841871366057719924275814e-49) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(2.1874165412405911496421878949764975039195e-49) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(2.1795059759554870337885712312815313370225e-49) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.1533402051313588945684740905624564261047e-49) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.6507378118804737500150294412532914150181e-49) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.6388664964446100418862556062655646230303e-49) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.3102056623975094970040092779332695044680e-49) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.3057098322508975331550689745739048726777e-49) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.2908379243344765517293923319411374813457e-49) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rj_e4.ipp b/libs/math/test/ellint_rj_e4.ipp
new file mode 100644
index 000000000..51a87c3e8
--- /dev/null
+++ b/libs/math/test/ellint_rj_e4.ipp
@@ -0,0 +1,228 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 221> ellint_rj_e4 = {{
+      { SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9130820318496712875229216324832408264587e+49) }, 
+      { SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3665852869779972929460567093420455622924e+49) }, 
+      { SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.2220106206558165375569223515909546363392e+48) }, 
+      { SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3149021076451585903933915726002934423658e+47) }, 
+      { SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(6.1078904340891008746809572947309925671571e+47) }, 
+      { SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.3518921475599483128684188501191135541069e+46) }, 
+      { SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.4512696301971283630153140671266643699729e+46) }, 
+      { SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.3935509016064272675775978191165201415094e+46) }, 
+      { SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(5.4747691124683342305782589643022296522404e+45) }, 
+      { SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.6980473592334734518377012858136761011516e+45) }, 
+      { SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.2412766596483853421146471461184075439986e+45) }, 
+      { SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.6219605514593649777370199528413692533610e+44) }, 
+      { SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.2341251281163607811506584927348226764697e+44) }, 
+      { SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(4.8688954760627537245343296759816558179510e+43) }, 
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+      { SC_(5.3031193804800000000000000000000000000000e+11), SC_(5.3031193804800000000000000000000000000000e+11), SC_(5.3031193804800000000000000000000000000000e+11), SC_(5.3031193804800000000000000000000000000000e+11), SC_(2.5894223626257356725303264045152112780701e-18) }, 
+      { SC_(6.6918337740800000000000000000000000000000e+11), SC_(6.6918337740800000000000000000000000000000e+11), SC_(6.6918337740800000000000000000000000000000e+11), SC_(6.6918337740800000000000000000000000000000e+11), SC_(1.8267633222159750145975227766150226814194e-18) }, 
+      { SC_(1.4843227668480000000000000000000000000000e+12), SC_(1.4843227668480000000000000000000000000000e+12), SC_(1.4843227668480000000000000000000000000000e+12), SC_(1.4843227668480000000000000000000000000000e+12), SC_(5.5297752045493633450351111374745190404064e-19) }, 
+      { SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.1943386030080000000000000000000000000000e+12), SC_(1.1641388120218365909484803113445707423240e-19) }, 
+      { SC_(5.2626813091840000000000000000000000000000e+12), SC_(5.2626813091840000000000000000000000000000e+12), SC_(5.2626813091840000000000000000000000000000e+12), SC_(5.2626813091840000000000000000000000000000e+12), SC_(8.2830330258120669248992130289435089514198e-20) }, 
+      { SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.5252724844274283485711164097889669824333e-20) }, 
+      { SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(9.6848000513798749504636143135095697334396e-21) }, 
+      { SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(1.7528683384684325499585218233961702349754e-21) }, 
+      { SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(8.2461326616873027661690077467477239433592e-22) }, 
+      { SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5244037838561698009392599225865629558297e-22) }, 
+      { SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(1.1841551221219940330200526345856545652196e-22) }, 
+      { SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(2.6720700250191111905648529882401078381318e-23) }, 
+      { SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.6844164374828786804594696654750101196940e-23) }, 
+      { SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(8.4838998261101555237307946245990894127516e-24) }, 
+      { SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(1.3356380485337204170095416134901343825643e-24) }, 
+      { SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(4.8699887845136379116152767871343743126731e-25) }, 
+      { SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.0721350966735692041560346691659593278158e-25) }, 
+      { SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(7.2625173372709075817988731803585361348306e-26) }, 
+      { SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(2.6797790249889441376478657893074556432642e-26) }, 
+      { SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(8.0133340420992867452374294355367895337196e-27) }, 
+      { SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(2.4343974532736681000058069022355272982086e-27) }, 
+      { SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(1.0351453546602344224967003388756464660737e-27) }, 
+      { SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(5.5401364133438695077020587760081212866457e-28) }, 
+      { SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(1.3117813031241628231394820272642234623008e-28) }, 
+      { SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(4.3348943965238912629172876802061223034712e-29) }, 
+      { SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(2.1729850794578639427299792767817563216792e-29) }, 
+      { SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(5.4347145753145946959178277776169309459060e-30) }, 
+      { SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(2.2868545243036362403546021192045469279848e-30) }, 
+      { SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(9.7275067423393828543599556836992248128789e-31) }, 
+      { SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(4.2009587968471488750572362027061472656058e-31) }, 
+      { SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(1.0046054213931135883644470099263326087106e-31) }, 
+      { SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(3.6938432729639373749450863473476250731635e-32) }, 
+      { SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(2.2091248674270751061752260956354737147220e-32) }, 
+      { SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(5.2379121758362895910185848055946476645437e-33) }, 
+      { SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(2.8479381893321415974223960789148685276211e-33) }, 
+      { SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(6.9244179743696634091696789337235938404876e-34) }, 
+      { SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.0337327051277727008982819400180427993931e-34) }, 
+      { SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.7744494087600150203765673017484711578262e-35) }, 
+      { SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.0288753146104063272103101319477436751656e-35) }, 
+      { SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(1.0776560212334060415241952783961381215531e-35) }, 
+      { SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(2.2377020720091407413010659087995982032280e-36) }, 
+      { SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(7.7252555568665586603456786042795749256475e-37) }, 
+      { SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(6.2637864895364561301401520132953130469257e-37) }, 
+      { SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.1443693720668992815087263609302554517038e-37) }, 
+      { SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(4.7857440881650091612417628752981254574601e-38) }, 
+      { SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.0181210624874437322755542031848925852443e-38) }, 
+      { SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(6.5995565192110303816586016066095847879993e-39) }, 
+      { SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(2.5434428391334568706163940836113767799054e-39) }, 
+      { SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.4435205502650156869693831753504925796075e-39) }, 
+      { SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.2890972193469096777795156856123092483278e-40) }, 
+      { SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.1879107327559925906773287960526392067809e-40) }, 
+      { SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.9686608830175590814715691622534817404011e-41) }, 
+      { SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.8324797437566406076041039429974310120006e-41) }, 
+      { SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(3.0333079720467397282520192477118791550916e-42) }, 
+      { SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.1940532551473316279692357164340213043762e-42) }, 
+      { SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(5.8956377632246711579832955264973200436422e-43) }, 
+      { SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.3892400495228539274598050730404314792108e-43) }, 
+      { SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(4.9890622443442454143628998892754947824020e-44) }, 
+      { SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.3728397177512905263928217528665158827501e-44) }, 
+      { SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(7.6863189428009715118983101443511744090196e-45) }, 
+      { SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.4538875281292909532958673539665046029890e-45) }, 
+      { SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.6729471136328311706955118425734608582646e-45) }, 
+      { SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(3.4555274625386616585934609941429203994493e-46) }, 
+      { SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.3871169913566441993441180101040613652334e-46) }, 
+      { SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.1705039497420584674312487188888623304008e-47) }, 
+      { SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.9957299377906691708015705180778289952633e-47) }, 
+      { SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.1461959670542379650843010267432936776139e-48) }, 
+      { SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.0455300121306774873511328924430576723673e-48) }, 
+      { SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.2330927975790268155461535096378223350591e-49) }, 
+      { SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.1521450871007098580247264140643505142883e-49) }, 
+      { SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(7.4006893602204152108633305656949585309562e-50) }, 
+      { SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.1569833888237949750965877861010398088413e-50) }, 
+      { SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2239268982694768381667683394968955347577e-50) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/ellint_rj_zp.ipp b/libs/math/test/ellint_rj_zp.ipp
new file mode 100644
index 000000000..6a3d02762
--- /dev/null
+++ b/libs/math/test/ellint_rj_zp.ipp
@@ -0,0 +1,2007 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 2000> ellint_rj_zp = {{
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.4362180043152339637482461583308887968176e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.9501239776125767214996789661250527562833e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.0046632786842204680540980640364534822930e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.6048680649777725659801897110521123897589e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7086889781233703030371896877587213993468e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2984116210194706411391299652340714923736e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2638854007618123030324215106835908806669e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1556351191004319805996875347482576893372e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1450436240831572873316445720974561596967e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0726614626374240498642174005037821336747e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.2703859199545360909665676111593795397069e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.7955048242365123393101104236957639171426e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.9152501495337206225915273901670603519691e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.5443045148905128825389733780199654350646e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6837676984714023225606665378258084511735e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2804313753536873066675327954370571606668e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2464718378084965892740193825804206579239e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1399786941814259532119139785164510571844e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1295574717153909014297226404049077957790e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0583307176643139349377463181550524956806e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.0529880189948233630353259147793057471527e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.6584283216072493345447101498327651653736e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.2489902574289003713095822156745825644887e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.0890891501761759548907002396980435054764e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4931758319162522705570004306605787382378e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1421635447107497534724496483484416913854e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.1124927597048128914083483345943660150418e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0193163753241327313544253691098159702660e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0101871326408964240212983060751037046122e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(9.4773485385666997118246254768387178268270e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.2750221888047824208713604130242590625453e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.9299264052914018616403933578057922827841e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.8137719422156033969166648197688954822116e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7878550865568313472113693559054393018036e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3636823378774701731976759794539755406794e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0474161887611736298022367612575516253559e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0206106160473000090492132292617969328107e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.3634981841630333464155443649231760398231e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.2808714875971466993437944473314788295010e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7152804393215516355255339510065893843478e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.7673794506573968260563622192893784795816e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.5139157103969464281052135773500604108291e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.9480249350476094068685690395909183777491e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.1789746304512232039006749723165928200076e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.0928709117246039371818884529338179551628e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(8.4698300744331425111854244616651288262200e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(8.2602629593249993523221994350548913144010e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(7.6001604475716457973604987475466678157863e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(7.5353156605047207086339942503178268048037e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(7.0908642160228630789344678467090061208183e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.2996632472089004530759704544120959598697e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0734789559141333123459448234886752450430e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.6731700644906361935299956913026900592747e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9828536531327529897879973918871415840184e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.0028346887869952318181189335448788667858e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.7961085068837378894965171044710347772564e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(7.6055135217070126349542171349381032207407e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(7.0047661880670598244718326774133538153593e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.9457176387730079005198645797255321410604e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.5408188129874284027770905253158126924757e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.2561068848593554531657702163139561809032e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0324351689820956580395725849366352115418e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.6474178158211312918723186036843249161202e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9644064568247401691741835106764186575874e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(9.9429096155036376580015187197339406977169e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.7319771582281470095856329263178414418987e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(7.5431692629865207997946045419123219170914e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.9480170047777630913949450769689327095030e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.8895151798873731282017303672786158792430e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.4883488524927111204819401849115385866430e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.1143237711791330771362238683875266089613e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.8987980151904237725387089078391144907874e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.5634038657755987910657641251448298882829e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9041379872661629374256699705785796874859e-03) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(9.6628625827256744836940895755223904828969e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.5215188771059434843315174793476678968942e-04) }, 
+      { SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(7.3385522428290809519465671705384265970781e-04) }, 
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+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8882709452301686447372507140673469723521e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3139379427112612040973538266320268680572e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.0149483937306083284993194721791912263619e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6011132808647185655830122154790570759528e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4867018308302287600277493632469640606275e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.3895956931388929338070959058452501840113e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.0812416731091476656895337705778737831458e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.0507387983314501651849210461467643197487e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.8405943500207392170106390643814203360373e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9164363634567006224073434096379604391900e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8298325713130702836427542452011529735095e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2754673087168140300242556499143212423365e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.8647149927562637682551255965955664981902e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.4597832976710783766788597293024020160063e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3781309504110333732828074586935131326338e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2838176289096361865942372272578018232772e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9842587720064166742943883506005079834976e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9546196625707525065259036221051725152140e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7503939231247746832774973152291984195805e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9101940014404765451844395468677864342963e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8239118528227733230074757777570955996429e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2715617763587818742000305442472884078287e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.8357632126194273559026064726926590569009e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.4453672136147792150581920580911373717030e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3670433490769849765689040310487860234007e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2730140075268031962185107779810600578067e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9743497137919661265842777533389293649289e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9447984799521384499460878669335638174838e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7411749910575080979566480577859194332427e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8664255547145513931852525945202706461027e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7823908916101695280349329191633981014369e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2441322530131967860208743579878576232633e-03) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.6322087103673091416008415033078512390708e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.3437620493807148196268830657751056794131e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.2888287782045867101122272865886991493749e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.1967962069245236597936839573346916332978e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9044232348904597245151411008556735859689e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.8754901277022908937521279745835266901759e-04) }, 
+      { SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.6761034994021255491166326633354514818636e-04) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/float128/test_carlson.cpp b/libs/math/test/float128/test_carlson.cpp
index ec6699daa..145849373 100644
--- a/libs/math/test/float128/test_carlson.cpp
+++ b/libs/math/test/float128/test_carlson.cpp
@@ -10,6 +10,7 @@
 #include <boost/math/special_functions/ellint_rd.hpp>
 #include <boost/math/special_functions/ellint_rf.hpp>
 #include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
 #include "libs/math/test/test_carlson.hpp"
 
 void expected_results()
diff --git a/libs/math/test/float128/test_digamma.cpp b/libs/math/test/float128/test_digamma.cpp
index 7981c6367..9856223be 100644
--- a/libs/math/test/float128/test_digamma.cpp
+++ b/libs/math/test/float128/test_digamma.cpp
@@ -20,8 +20,15 @@ void expected_results()
       ".*",                          // stdlib
       ".*",                          // platform
       ".*",                          // test type(s)
+      ".*negative.*",                // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
       ".*",                          // test data group
-      ".*", 350, 100);                 // test function
+      ".*", 2, 2);                 // test function
    //
    // Finish off by printing out the compiler/stdlib/platform names,
    // we do this to make it easier to mark up expected error rates.
diff --git a/libs/math/test/float128/test_ellint_3.cpp b/libs/math/test/float128/test_ellint_3.cpp
index 2507ac694..e46268388 100644
--- a/libs/math/test/float128/test_ellint_3.cpp
+++ b/libs/math/test/float128/test_ellint_3.cpp
@@ -27,6 +27,13 @@ void expected_results()
       ".*",                          // stdlib
       ".*",                          // platform
       ".*",                          // test type(s)
+      ".*Mathworld.*",               // test data group
+      ".*", 600, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
       ".*",                          // test data group
       ".*", 60, 30);                 // test function
    //
diff --git a/libs/math/test/float128/test_polygamma.cpp b/libs/math/test/float128/test_polygamma.cpp
new file mode 100644
index 000000000..ebd897af1
--- /dev/null
+++ b/libs/math/test/float128/test_polygamma.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/polygamma.hpp>
+#include "libs/math/test/test_polygamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*bug cases.*",               // test data group
+      ".*", 100000, 40000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 500, 200);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_polygamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/libs/math/test/float128/test_trigamma.cpp b/libs/math/test/float128/test_trigamma.cpp
new file mode 100644
index 000000000..8862b53d0
--- /dev/null
+++ b/libs/math/test/float128/test_trigamma.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/trigamma.hpp>
+#include "libs/math/test/test_trigamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 2);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_trigamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/libs/math/test/heuman_lambda_data.ipp b/libs/math/test/heuman_lambda_data.ipp
new file mode 100644
index 000000000..c82b3a17e
--- /dev/null
+++ b/libs/math/test/heuman_lambda_data.ipp
@@ -0,0 +1,1083 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 1076> heuman_lambda_data = {{
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.2818678750410757913794876393180852564234e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.2818678686920981395211620493819441783972e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.2818678262147483408885272014604717950142e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.2818676273441119272757356679409827579912e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.2818675447220667527889979356907035957101e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.2818655648818352593674411860402038446249e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.2818507987757229791055027194834001281403e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-1.2818385366872922291755065634301775464772e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-1.2815702152773898445634354314743836776450e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.2809758423903909514038762578364688862940e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-1.2784224180229554914713033823346029800626e+01) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.2726524319280258411531927893277706975739e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.1725545183347730963643632803055191857441e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.1725545204632125473212641684977724911088e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.1725545347033906108186204087779810914740e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.1725546013735001094038616590776247649051e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.1725546290721983670733641977420160184252e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.1725552928380532291558721280705499925653e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.1725602453324205931917369957095612608367e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-1.1725643606357686857680510944343906534434e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-1.1726550123018380781158670535111725714355e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.1728598753101845121239173547254956943523e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-1.1738016878377463689258133408244604487494e+01) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.1762676372364995122369534103573686552922e+01) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.0380581818880663586226249510719943739212e+01) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.0380581789365956800186528563538346882658e+01) }, 
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+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.1974154643062911329013637006045049199419e+01) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.1974155268134088188913850140746389309934e+01) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.1974159931996554273628973628347774674744e+01) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.1974163807562999996761411828248122659602e+01) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.1974249202082775850908192886429428450216e+01) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.1974442351055607382019054413198208879590e+01) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.1975333213546421266285140740833697348871e+01) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.1977686753555748069425218606682657972967e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2384650184844668628199906444330895023961e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2384650155014453814040101279712900002943e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2384649955437459937116444959202694282535e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2384649021051923482099707739480082703416e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2384648632853148624915035764814947712296e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2384639330159902533207498464536297030480e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2384569922150093722469831229426930144283e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2384512248925580598337285435249893817587e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2383242229410175264006671845579463143249e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2380374935582109218860836700077338254592e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2367241491752546630991260864362645324306e+01) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2333189870611544054532127613133079829834e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2761544017543338121503905725452833472475e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2761543958484439244725768050241464020341e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2761543563355235918871920764465278221687e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2761541713434101644768391701312195895228e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2761540944871116103158240852982330242039e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2761522527790071224337553547594725311629e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2761385150643825801860642506375723551021e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2761271045243729014493602601631136887758e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2758768668584857271933341972164117030836e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2753189331023531831253705523258288612240e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2728722459777125739106447444886522947863e+01) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2671269581485092000197011722839561311439e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2846244064311653813320725358046862937430e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2846243998684151646665365089814021495030e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2846243559608491957923530826832797958635e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2846241503945177532277915015517391431480e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2846240649908483151130284385718120341657e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2846220185208979428257313895157755096596e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2846067570035466600746368160228287130478e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2845940855598831612881687549208528129993e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2843172619561956674050373200317977103446e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2837069841192149963858043614818354578765e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2811225848626158110286641796510837599690e+01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2754235235945252672131774219770120143321e+01) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/jacobi_zeta_big_phi.ipp b/libs/math/test/jacobi_zeta_big_phi.ipp
new file mode 100644
index 000000000..5433cf6de
--- /dev/null
+++ b/libs/math/test/jacobi_zeta_big_phi.ipp
@@ -0,0 +1,407 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 400> jacobi_zeta_big_phi = {{
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-7.3825645481551929800008174136652897980288e-07) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.1561209775097933264392436959257217711586e-06) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.3027582893266674103449235881933556827198e-05) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.8313470835090651446772916725049858900681e-05) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-7.2895837489838169130496172156124563857914e-05) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.9084205195227632605192122270278261406066e-04) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.3757790605181013833497220026980002969468e-03) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.5137798214012318909260137993475897820317e-03) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-4.1250321043759855294922649541168055522732e-02) }, 
+      { SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.1733255797841120012250450040720857074103e-01) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-5.5266548203382823600406049227956656227628e-07) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-8.6548245391853288934156341049653115519702e-07) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-9.7524998131479419925855284250102353982943e-06) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-3.6166941231403248935342336229365564744059e-05) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-5.4568285172556433761631957864213533099263e-05) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-6.6656066208912760581536889193679396575429e-04) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-2.5223679853255407639235566605367346721894e-03) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-4.1149286175074983572698310952196421578580e-03) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.0159952211617099245379571881616147524512e-02) }, 
+      { SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-8.1899293676737632246269682941088746684963e-02) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(1.5973163648710323074774814451342865125369e-07) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(2.5014212928599489131462724994073876508403e-07) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(2.8186671132408208175041202202807343397234e-06) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(1.0452915219897171354730817978288349142629e-05) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(1.5771188694325595931556880661299457131296e-05) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(1.9262517787431384651037157776540251106909e-04) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(7.2866495169096583957376280470403124650120e-04) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(1.1883642596249708013847732762833627490677e-03) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(8.6666014133269024670045985876541599794530e-03) }, 
+      { SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(2.3299219967082687923377637826878335739736e-02) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(3.1519672371413934349655494381723431598366e-07) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(4.9360278561651500608064392811039871665660e-07) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(5.5620478561755230968760666128351918003283e-06) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(2.0626658381774703746115937279123592027876e-05) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(3.1121192832422858336392967291653089249972e-05) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(3.8011656078691724454190554566622465515009e-04) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(1.4380294916846079165071480008125406120412e-03) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(2.3454194717665715952488483901839681854829e-03) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(1.7124821666514853683147045514724433308664e-02) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(4.6144409190515997604107395007888108540807e-02) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.8515925905417614886481997363437879581041e-07) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.2295713993476195713392453698708955078442e-06) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3855218979809475582150208486014816757890e-05) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(5.1382478083924861294538986348228961575117e-05) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.7526044689406911473303641980708168044738e-05) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.4728790122470215607693521810294815617892e-04) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.5880731468313491590912831273382977484816e-03) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.8582631670192132694364572495578762106541e-03) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.3532777337825399708180783078233454904328e-02) }, 
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.2182479899347910050822782077307712352330e-01) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(6.0889709758634444039428087496785227917237e-07) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(9.5354229356632071160876448731466377632924e-07) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.0744873871053962527195043432262973941807e-05) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(3.9848142845301837876455595103558062837508e-05) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(6.0123496453163411923929419944025649407995e-05) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(7.3484753741276268987258275628696464534000e-04) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(2.7857277075732601805282518600472812171839e-03) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(4.5515553371257778901597238362884087200453e-03) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.4255882110363891082675297540915431204227e-02) }, 
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(9.8953757984131404424212889472994604984062e-02) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(2.8740921915225955449772465203543517937606e-07) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(4.5008732236129619281508848286880847295192e-07) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(5.0717631286256830706014347576551544576023e-06) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(1.8809106465099641735229952231433189588661e-05) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(2.8379582836833401718847896512849799349551e-05) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(3.4690907912051900450965673416674729415985e-04) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(1.3156197709503805832621074472373983376348e-03) }, 
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+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-7.0868756295782218047798887587337326072590e-07) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.1098154473687638216871924459864676881227e-06) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.2505734823329621256718832322762856202080e-05) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.6377499095145430373586855961180714550054e-05) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.9974119108338568686782096247303112088450e-05) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.5484951856127357451048673788701098095852e-04) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.2360781810118665152196673873614120109801e-03) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.2809370993988956069080620498311337730782e-03) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.8911983550436534418935463158757100218878e-02) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.0684976463607399017628998580470925831147e-01) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-6.9923598331907420121669101764765860030737e-07) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.0950141247020105616515431327074803892459e-06) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.2338947161106645381210289979391948283759e-05) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.5758946362672831938401949701855128641748e-05) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.9040828096081896093891786820553323933088e-05) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.4343888046581426401958195772714106164283e-04) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.1927796662912764937366308224732653052911e-03) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.2101338638805587279548166099254870025738e-03) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.8372368871098958331518506514612022658855e-02) }, 
+      { SC_(1.8300270080566406250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.0526251745199890551380559137233978741051e-01) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-6.3393363728335693515868438926317869607519e-07) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-9.9274963340264571156632319782835264903847e-07) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.1186590696134153982443826627451056505334e-05) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.1485330865217687570447660026071784575363e-05) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.2592711681433336568927975148100308403399e-05) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-7.6462036445954881862935427301929066920493e-04) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-2.8939006381369426966229267179322061001050e-03) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-4.7216825936161276113239365786143660471531e-03) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.4685646049447924294956322879211351938375e-02) }, 
+      { SC_(1.8379699707031250000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-9.4632446121508004115537037470873531858911e-02) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-3.8195699261491170692676327463232682959994e-07) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-5.9815037125439036547598790978748962688525e-07) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-6.7401197340649000056965378216901316342532e-06) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-2.4995516192789006839067875780335427153563e-05) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-3.7712880774811964789340900166348015996944e-05) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-4.6063637477845307592199853273306944118502e-04) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.7427431523756136493544100241790952018383e-03) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-2.8425417189901450651067308771147171404653e-03) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-2.0770722278361962934927254189610711249449e-02) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-5.6055790288809758391593681849456903347901e-02) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-2.1964232407331888647189612233000224419393e-07) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-3.4396316262353060630721641035310995837612e-07) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-3.8758675868941069838855157709472948791766e-06) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-1.4373506382407195926528295471279695935819e-05) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-2.1686518346490792269402557511431697458042e-05) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-2.6487565763643006266914031474602212631898e-04) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.0020000793276745923380662012184989652429e-03) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-1.6341758535065545100332429704195238562139e-03) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-1.1922026658866265464823507687264415862545e-02) }, 
+      { SC_(1.8707794189453125000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-3.2073185786433286097072287755914575488638e-02) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-1.4805198345055803901444912229476011265284e-07) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-2.3185161797211895634475885112977300302529e-07) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-2.6125647859821800740452788661953199127237e-06) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-9.6885923713855576799548790500281140925245e-06) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-1.4617990227466100958577022663466586152788e-05) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-1.7854008236809372358436748497675269727297e-04) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-6.7538102894925470341109584192774172832573e-04) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-1.1014609360042665130148750635018843551473e-03) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-8.0323861611511727563454066929805675343470e-03) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-2.1591878223978969522951378957346090491617e-02) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-4.0572371695835515865746069231094962640648e-08) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-6.3536939990292502882151721805181413745899e-08) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-7.1595081406700046780706172430098762467278e-07) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-2.6550742288995583998251268590056576326500e-06) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-4.0059318444599950721945084742829245905701e-06) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-4.8926988518252424081638924613706610506908e-05) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.8507685565288326096009377264357589918432e-04) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-3.0183125351428361046104757166887750619531e-04) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-2.2004276785532427708302268423805763178854e-03) }, 
+      { SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-5.9114315381804436668752800592214188282258e-03) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(5.5755571495143187559388060687536611051761e-07) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(8.7314063339780103384691282354974427515825e-07) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(9.8387947210500395203451998154456226432979e-06) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(3.6486968352230094386519078425866927091651e-05) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(5.5051143071242795429337520244761299596489e-05) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(6.7246067225047808877486245678807548477558e-04) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(2.5447154456989507814754794101330708531109e-03) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(4.1514150335066659382719622110290568682431e-03) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.0430931771328451783480737415269051479250e-02) }, 
+      { SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(8.2654967310216556268536438131096611734492e-02) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.7506342706598044294884372611110599883645e-07) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.2137612141858116463748911378447249126880e-06) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3677078015858226205327041211913085601090e-05) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(5.0721985510788411658334965064783762138937e-05) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.6529647323826385635416690593223323474465e-05) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.3517640219707051160904460289107996235286e-04) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.5429306362486523099105635560098425599176e-03) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.7855929368055204741541142718239308990756e-03) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.3126403278908530102768512666901265265752e-02) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.2157791081762235127406370295460418934550e-01) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.0802326289388176773521183914932937419473e-07) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.1087753559792060226609318078416719485153e-06) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.2494082808940799095751418891272433782113e-05) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(4.6335037749336517994292945645480413634372e-05) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(6.9910842192533208090902114751695588611618e-05) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(8.5439732035333382371837329941755254527105e-04) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.2380697311425590090465673396025068459366e-03) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.2894136476213843818944198925375900602630e-03) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.9645926472048867377800212133347240803743e-02) }, 
+      { SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.1330317355442525269065390932948568676196e-01) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/jacobi_zeta_data.ipp b/libs/math/test/jacobi_zeta_data.ipp
new file mode 100644
index 000000000..530ea0991
--- /dev/null
+++ b/libs/math/test/jacobi_zeta_data.ipp
@@ -0,0 +1,2007 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 2000> jacobi_zeta_data = {{
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(-1.1006729089963583467907843098269572845356e-31) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(-1.7236698295970144145959016947731140698439e-31) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(-1.9422638498398617279117828177211244185296e-30) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(-7.2026704864637038803525644479822588024334e-30) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6015441468668345503800765072810463607311e-14), SC_(-1.0867127196089248926209692780356244144333e-29) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.5958587915315438632291034082300029695034e-14), SC_(-1.3266929299546417157411720131777779883915e-28) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0876282513505586280189163517206907272339e-13), SC_(-5.0118478836802929196178304494815262279807e-28) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.3881549989352981455681401712354272603989e-13), SC_(-8.1641851265188163378211459116554218225870e-28) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.7115547180804897564598832104820758104324e-13), SC_(-5.8364484818394107861858615908834331235591e-27) }, 
+      { SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.9488546901020900037337924004532396793365e-13), SC_(-1.4993521360317912418277150838139155073844e-26) }, 
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+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.5748627108821438014274463057518005371094e-10), SC_(8.4819793442370215555134672605748239909296e-21) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(9.1627927467641256953356787562370300292969e-10), SC_(3.4024895961349738501972490182158782184167e-20) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0781109338608985126484185457229614257812e-09), SC_(4.7105105441553335389722933524079579499678e-20) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.2146250106279694591648876667022705078125e-09), SC_(4.1879522161682169539419641957375135858207e-19) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(7.3410291179243358783423900604248046875000e-09), SC_(2.1840117601560482421267683927992215111753e-18) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.4760416888748295605182647705078125000000e-08), SC_(8.8295450484098262673994187518459406840730e-18) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.9164056059016729705035686492919921875000e-08), SC_(3.4469654305865705560936485077119259093991e-17) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.3076446470658993348479270935058593750000e-08), SC_(4.4338272696142257280320499993091644285567e-17) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.8535273334855446591973304748535156250000e-08), SC_(3.1766820134744916942538206200072536269880e-16) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.1435090502563980408012866973876953125000e-07), SC_(1.8620516450750453593013166543995122941271e-15) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.2922022203129017725586891174316406250000e-07), SC_(7.4662311094796806588554451059427531869255e-15) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.1847185861552134156227111816406250000000e-07), SC_(1.5501758469720922503254859304490771947741e-14) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(4.8060349814116616654266116690495883150565e-14) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(1.4884900430565558451231099450897449531155e-13) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(1.1921048401263483837835778334590017478702e-12) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(2.9193992523287708913179485317313684507412e-12) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(3.4629976479261021506315500958598675366562e-11) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(1.0148539891874561782969578188778077897121e-10) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(4.8492844289441349937637836404173346512801e-10) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(2.1308427499773881994294956118635216125026e-09) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(9.2748800435533112994988607391614703951393e-09) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(2.1846509083028390202428253673411740829528e-08) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.0595617170877165160537905984205118117264e-07) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(4.9974436931039086645367728090485005588175e-07) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(6.6334769140605733239391878317641631584070e-07) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(4.5839852181691608430084984019377503151536e-06) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(3.3841612832606061108936302315388259236264e-05) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(5.8160037131104125198800938791788097672479e-05) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(5.9538315051239716664555139028924118499417e-04) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.8205381107728354608191752622126544395889e-03) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(7.6712330926966075903637212057437228675226e-03) }, 
+      { SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(2.5381192295642353146321014687386230560055e-02) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/test_arcsine.cpp b/libs/math/test/test_arcsine.cpp
new file mode 100644
index 000000000..0038d21a2
--- /dev/null
+++ b/libs/math/test/test_arcsine.cpp
@@ -0,0 +1,626 @@
+// test_arcsine_dist.cpp
+
+// Copyright John Maddock 2014.
+// Copyright  Paul A. Bristow 2014.
+
+// 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)
+
+// Tests for the arcsine Distribution.
+
+#include <pch.hpp> // Must be 1st include, and include_directory /libs/math/src/tr1/ is needed.
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // Conditional expression is constant.
+#  pragma warning (disable : 4996) // POSIX name for this item is deprecated.
+#  pragma warning (disable : 4224) // Nonstandard extension used : formal parameter 'arg' was previously defined as a type.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept.
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/arcsine.hpp> // for arcsine_distribution.
+using boost::math::arcsine_distribution;
+
+#include <boost/math/constants/constants.hpp>
+using boost::math::constants::one_div_root_two;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+
+#include <cmath>
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+
+template <class RealType>
+void test_ignore_policy(RealType)
+{
+  // Check on returns when errors are ignored.
+  if ((typeid(RealType) != typeid(boost::math::concepts::real_concept))
+    && std::numeric_limits<RealType>::has_infinity
+    && std::numeric_limits<RealType>::has_quiet_NaN
+    )
+  { // Ordinary floats only.
+
+    using namespace boost::math;
+    //   RealType inf = std::numeric_limits<RealType>::infinity();
+    RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+    using boost::math::policies::policy;
+    // Types of error whose action can be altered by policies:.
+    //using boost::math::policies::evaluation_error;
+    //using boost::math::policies::domain_error;
+    //using boost::math::policies::overflow_error;
+    //using boost::math::policies::underflow_error;
+    //using boost::math::policies::domain_error;
+    //using boost::math::policies::pole_error;
+
+    //// Actions on error (in enum error_policy_type):
+    //using boost::math::policies::errno_on_error;
+    //using boost::math::policies::ignore_error;
+    //using boost::math::policies::throw_on_error;
+    //using boost::math::policies::denorm_error;
+    //using boost::math::policies::pole_error;
+    //using boost::math::policies::user_error;
+
+    typedef policy<
+      boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+      boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+      boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+      boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+    > ignore_all_policy;
+
+    typedef arcsine_distribution<RealType, ignore_all_policy> ignore_error_arcsine;
+
+    // Only test NaN and infinity if type has these features (realconcept returns zero).
+    // Integers are always converted to RealType,
+    // others requires static cast to RealType from long double.
+
+    if (std::numeric_limits<RealType>::has_quiet_NaN)
+    {
+      // Demonstrate output of PDF with infinity,
+      // but strin goutput from NaN is platform dependent, so can't use BOOST_CHECK.
+      if (std::numeric_limits<RealType>::has_infinity)
+      {
+        //std::cout << "pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) = " << pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) << std::endl;
+        //  Outputs:  pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) = 1.#QNAN
+      }
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), std::numeric_limits<RealType>::infinity()))); // x == infinity
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), std::numeric_limits<RealType>::infinity()))); // x == infinity
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), static_cast <RealType>(-2))));  // x < xmin
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), static_cast <RealType>(-2))));  // x < xmin
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), static_cast <RealType>(+2))));  // x > x_max
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), static_cast <RealType>(+2)))); // x > x_max
+
+      // Mean
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(-nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(+nan, 0))));
+
+      if (std::numeric_limits<RealType>::has_infinity)
+      {
+        //BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(-std::numeric_limits<RealType>::infinity(), 0))));
+        // std::cout << "arcsine(-inf,+1) mean " << mean(ignore_error_arcsine(-std::numeric_limits<RealType>::infinity())) << std::endl;
+        //BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(std::numeric_limits<RealType>::infinity(), 0))));
+      }
+      // Check error message is correct.
+      try
+      { 
+        typedef arcsine_distribution<RealType> signal_error_arcsine;
+        //std::cout << mean(signal_error_arcsine(-std::numeric_limits<RealType>::infinity())) << std::endl;
+        // Error in function boost::math::arcsine_distribution<float>::arcsine_distribution: x_min argument is -1.#INF, but must be finite !
+      }
+      catch (std::exception ex)
+      {
+        std::cout << ex.what() << std::endl;
+      }
+
+      // NaN constructors.
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(2, nan))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(nan, nan))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(nan, 2)))); 
+
+      // Variance
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(1, nan))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(2, nan))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(static_cast<RealType>(1.7L), 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(2, 0))));
+
+      // Skewness
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(3, 0))));
+
+      // Kurtosis 
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(3, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(4, 0))));
+
+      // Kurtosis excess
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(3, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(4, 0))));
+    } // has_quiet_NaN
+
+    // 
+    BOOST_CHECK(boost::math::isfinite(mean(ignore_error_arcsine(0, std::numeric_limits<RealType>::epsilon()))));
+
+    // Checks on error messages.
+    try
+    {
+      typedef arcsine_distribution<RealType> signal_error_arcsine;
+      //std::cout << "mean(ignore_error_arcsine(0, std::numeric_limits<RealType>::epsilon())) == "
+      //  << mean(ignore_error_arcsine(0, std::numeric_limits<RealType>::epsilon())) << std::endl;
+      //  mean(ignore_error_arcsine(0, std::numeric_limits<RealType>::epsilon())) == 5.96046e-008
+      //std::cout << "mean(ignore_error_arcsine(0, 0)) == "
+      //  << mean(ignore_error_arcsine(0, 0)) << std::endl;
+      // mean(ignore_error_arcsine(0, 0)) == 1.#QNAN
+    }
+    catch (std::exception ex)
+    {
+      std::cout << ex.what() << std::endl;
+    }
+
+    check_support<arcsine_distribution<RealType> >(arcsine_distribution<RealType>(0, 1));
+  } // ordinary floats.
+} // template <class RealType> void test_ignore_policy(RealType)
+
+
+template <class RealType>
+RealType informax()
+{ //! \return Infinity else max_value.
+  return ((std::numeric_limits<RealType>::has_infinity) ?
+     std::numeric_limits<RealType>::infinity() : boost::math::tools::max_value<RealType>());
+}
+
+template <class RealType>
+void test_spot(
+  RealType a,    // alpha a or lo or x_min
+  RealType b,    // arcsine b or hi or x_maz
+  RealType x,    // Probability
+  RealType P,    // CDF of arcsine(a, b)
+  RealType Q,    // Complement of CDF of arcsine (a, b)
+  RealType tol)  // Test tolerance.
+{
+  boost::math::arcsine_distribution<RealType> anarcsine(a, b);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(anarcsine, x), P, tol);
+  if ((P < 0.99) && (Q < 0.99))
+  { // We can only check this if P is not too close to 1,
+    // so that we can guarantee that Q is free of error,
+    // (and similarly for Q).
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(anarcsine, x)), Q, tol);
+    if (x != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(anarcsine, P), x, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if ((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(anarcsine, P) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    } // if k
+    if (x != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(quantile(complement(anarcsine, Q)), x, tol * 10);
+    }
+    else
+    {  // Just check quantile is very small:
+      if ((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+      { // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(complement(anarcsine, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    } // if x
+  }
+} // template <class RealType> void test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+    // Basic sanity checks with 'known good' values.
+    // so set tolerance to a few eps expressed as a fraction, or
+    // few eps of type double expressed as a fraction,
+    // whichever is the larger.
+
+    RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon())); // 0 if real_concept.
+
+    RealType max_value = boost::math::tools::max_value<RealType>();
+    RealType epsilon = boost::math::tools::epsilon<RealType>();
+
+    //cout << "Boost::math::tools::epsilon = " << boost::math::tools::epsilon<RealType>() << endl;
+    //cout << "std::numeric_limits::epsilon = " << std::numeric_limits<RealType>::epsilon() << endl;
+
+    tolerance *= 2; // Note: NO * 100 because tolerance is a fraction, NOT %.
+    cout << "tolerance = " << tolerance << endl;
+
+    using boost::math::arcsine_distribution;
+    using  ::boost::math::cdf;
+    using  ::boost::math::pdf;
+    using  ::boost::math::complement;
+    using  ::boost::math::quantile;
+
+    // Basic sanity-check spot values.
+
+    // Test values from Wolfram alpha, for example:
+    // http://www.wolframalpha.com/input/?i=+N%5BPDF%5Barcsinedistribution%5B0%2C+1%5D%2C+0.5%5D%2C+50%5D
+    // N[PDF[arcsinedistribution[0, 1], 0.5], 50]
+    // 0.63661977236758134307553505349005744813783858296183
+
+    arcsine_distribution<RealType> arcsine_01; // (Our) Standard arcsine.
+    // Member functions.
+    BOOST_CHECK_EQUAL(arcsine_01.x_min(), 0);
+    BOOST_CHECK_EQUAL(arcsine_01.x_max(), 1);
+
+    // Derived functions.
+    BOOST_CHECK_EQUAL(mean(arcsine_01), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(arcsine_01), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(arcsine_01), 0.125); // 1/8 = 0.125
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(arcsine_01), one_div_root_two<double>() / 2, tolerance); // 1/ sqrt(s) = 0.35355339059327379
+    BOOST_CHECK_EQUAL(skewness(arcsine_01), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(arcsine_01), -1.5); // 3/2
+    BOOST_CHECK_EQUAL(support(arcsine_01).first, 0); //
+    BOOST_CHECK_EQUAL(range(arcsine_01).first, 0); //
+    BOOST_CHECK_THROW(mode(arcsine_01), std::domain_error); //  Two modes at x_min and x_max, so throw instead.
+
+    // PDF
+    // pdf of x = 1/4 is same as reflected value at x = 3/4.
+    // N[PDF[arcsinedistribution[0, 1], 0.25], 50] 
+    // N[PDF[arcsinedistribution[0, 1], 0.75], 50]
+    // 0.73510519389572273268176866441729258852984864048885
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.000001), static_cast<RealType>(318.31004533885312973989414360099118178698415543136L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.000005), static_cast<RealType>(142.35286456604168061345817902422241622116338936911L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.05), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.5), static_cast<RealType>(0.63661977236758134307553505349005744813783858296183L), tolerance);
+    // Note loss of significance when x is near x_max.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.95), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 8 * tolerance); // Less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.999995), static_cast<RealType>(142.35286456604168061345817902422241622116338936911L), 50000 * tolerance); // Much less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.999999), static_cast<RealType>(318.31004533885312973989414360099118178698415543136L), 100000 * tolerance);// Even less accurate.
+
+    // Extreme x.
+    if (std::numeric_limits<RealType>::has_infinity)
+    { //
+      BOOST_CHECK_EQUAL(pdf(arcsine_01, 0), informax<RealType>()); //
+      BOOST_CHECK_EQUAL(pdf(arcsine_01, 1), informax<RealType>()); //
+    }
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, tolerance),
+      1 /(sqrt(tolerance) * boost::math::constants::pi<RealType>()), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, static_cast<RealType>(1) - tolerance),
+      1 /(sqrt(tolerance) * boost::math::constants::pi<RealType>()), 2 * tolerance); //
+
+    // CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.000001), static_cast<RealType>(0.00063661987847092448418377367957384866092127786060574L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.000005), static_cast<RealType>(0.0014235262731079289297302426454125318201831474507326L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.05), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.5), static_cast<RealType>(0.5L), tolerance); // Exact.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.95), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), 2 * tolerance);
+    // Values near unity should use the cdf complemented for better accuracy,
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.999995), static_cast<RealType>(0.99857647372689207107026975735458746817981685254927L), 100 * tolerance); // Less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.999999), static_cast<RealType>(0.99936338012152907551581622632042615133907872213939L), 1000 * tolerance); // Less accurate.
+
+    //  Complement CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.000001)), static_cast<RealType>(1 - 0.00063661987847092448418377367957384866092127786060574L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.000001)), static_cast<RealType>(0.99936338012152907551581622632043L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.05)), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.5)), static_cast<RealType>(0.5L), tolerance); // Exact.
+    // Some values near unity when complement is expected to be less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.95)), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), 8 * tolerance); // 2 for asin
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.999999)), static_cast<RealType>(1 - 0.99936338012152907551581622632042615133907872213939L), 1000000 * tolerance); // 10000 for asin, 1000000 for acos.
+
+    // Quantile.
+
+    // Check 1st, 2nd and 3rd quartiles.
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.25L)), static_cast<RealType>(0.14644660940672624L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.5L)), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.75L)), static_cast<RealType>(0.85355339059327373L), tolerance);
+    
+    // N[CDF[arcsinedistribution[0, 1], 0.05], 50]  == 0.14356629312870627075094188477505571882161519989741
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L)), 0.05, tolerance);
+
+    // Quantile of complement.
+    // N[1-CDF[arcsinedistribution[0, 1], 0.05], 50] == 0.85643370687129372924905811522494428117838480010259
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L))), 0.05, tolerance * 2);
+    // N[sin^2[0.75 * pi/2],50] == 0.85355339059327376220042218105242451964241796884424
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.25L))), static_cast<RealType>(0.85355339059327376220042218105242451964241796884424L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.5L))), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.75L))), static_cast<RealType>(0.14644660940672623779957781894757548035758203115576L), 2 * tolerance); // Less accurate.
+
+    // N[CDF[arcsinedistribution[0, 1], 0.25], 5
+    // 0.33333333333333333333333333333333333333333333333333
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(1) / 3), static_cast<RealType>(0.25L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.5L)), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(2) / 3), static_cast<RealType>(0.75L), tolerance);
+
+    // Arcsine(-1, +1)    xmin = -1, x_max = +1  symmetric about zero.
+    arcsine_distribution<RealType> as_m11(-1, +1);
+
+    BOOST_CHECK_EQUAL(as_m11.x_min(), -1); //
+    BOOST_CHECK_EQUAL(as_m11.x_max(), +1);
+    BOOST_CHECK_EQUAL(mean(as_m11), 0); //
+    BOOST_CHECK_EQUAL(median(as_m11), 0); //
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(as_m11), one_div_root_two<RealType>(),  tolerance * 2); //
+
+    BOOST_CHECK_EQUAL(variance(as_m11), 0.5); // 1 - (-1) = 2 ^ 2 = 4 /8 = 0.5
+    BOOST_CHECK_EQUAL(skewness(as_m11), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as_m11), -1.5); // 3/2
+
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.05), static_cast<RealType>(0.31870852113797122803869876869296281629727218095644L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.5), static_cast<RealType>(0.36755259694786136634088433220864629426492432024443L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.95), static_cast<RealType>(1.0194074882503562519812229448639426942621591013381L), 2 * tolerance); // Less accurate.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.05), static_cast<RealType>(0.51592213323666034437274347433261364289389772737836L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.5), static_cast<RealType>(0.66666666666666666666666666666666666666666666666667L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.95), static_cast<RealType>(0.89891737589574013042121018491729701360300248368629L), tolerance); //  Not less accurate.
+
+    // Quantile
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m11, static_cast<RealType>(1) / 3), -static_cast<RealType>(0.5L), 2 * tolerance); // p = 1/3 x = -0.5
+    BOOST_CHECK_SMALL(quantile(as_m11, static_cast<RealType>(0.5L)), 2 * tolerance);                             // p = 0.5, x = 0
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m11, static_cast<RealType>(2) / 3), +static_cast<RealType>(0.5L), 4 * tolerance);     // p = 2/3, x = +0.5
+
+    //  Loop back tests.
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(0.05), // Random variate  x
+      static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L),  // Complement of CDF Q = 1 - P
+      tolerance); // Test tolerance.
+
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(0.95), // Random variate  x
+      static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L),  // Complement of CDF Q = 1 - P
+      tolerance * 4); // Test tolerance (slightly inceased compared to x < 0.5 above).
+
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(static_cast<RealType>(0.5L)), // Random variate  x
+      static_cast<RealType>(static_cast<RealType>(0.5L)), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(static_cast<RealType>(0.5L)),  // Complement of CDF Q = 1 - P
+      tolerance * 4); // Test tolerance.
+
+    // Arcsine(-2, -1) xmin = -2, x_max = -1  - Asymmetric both negative.
+    arcsine_distribution<RealType> as_m2m1(-2, -1);
+
+    BOOST_CHECK_EQUAL(as_m2m1.x_min(), -2); //
+    BOOST_CHECK_EQUAL(as_m2m1.x_max(), -1);
+    BOOST_CHECK_EQUAL(mean(as_m2m1), -1.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(as_m2m1), -1.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(as_m2m1), 0.125);
+    BOOST_CHECK_EQUAL(skewness(as_m2m1), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as_m2m1), -1.5); // 3/2
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.95), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 4 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.5), static_cast<RealType>(0.63661977236758134307553505349005744813783858296183L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.05), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 4 * tolerance); // Less accurate.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.05), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.5), static_cast<RealType>(0.5L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.95), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), 8 * tolerance); //  Not much less accurate.
+
+    // Quantile
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L)), -static_cast<RealType>(1.05L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.5L)), -static_cast<RealType>(1.5L), 2 * tolerance);                             //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L)), -static_cast<RealType>(1.95L), 4 * tolerance);     //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(as_m2m1, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L))), -static_cast<RealType>(1.05L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.5L)), -static_cast<RealType>(1.5L), 2 * tolerance);                             //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(as_m2m1, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L))), -static_cast<RealType>(1.95L), 4 * tolerance);
+
+    // Tests that should throw:
+    BOOST_CHECK_THROW(mode(arcsine_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1))), std::domain_error);
+    // mode is undefined, and must throw domain_error!
+
+
+    BOOST_CHECK_THROW( // For various bad arguments.
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(+1), static_cast<RealType>(-1)), // min_x > max_x
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(0)), // bad constructor parameters.
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(-1)), // bad constructor parameters.
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)), // equal constructor parameters.
+      static_cast<RealType>(-1)), std::domain_error);
+
+    BOOST_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1)), // bad x > 1.
+      static_cast<RealType>(999)), std::domain_error);
+
+    // Checks on things that are errors.
+
+    // Construction with 'bad' parameters.
+    BOOST_CHECK_THROW(arcsine_distribution<RealType>(+1, -1), std::domain_error); // max < min.
+    BOOST_CHECK_THROW(arcsine_distribution<RealType>(+1, 0), std::domain_error);  // max < min.
+
+    arcsine_distribution<> dist;
+    BOOST_CHECK_THROW(pdf(dist, -1), std::domain_error);
+    BOOST_CHECK_THROW(cdf(dist, -1), std::domain_error);
+    BOOST_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+    BOOST_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+    BOOST_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+
+    // Various combinations of bad contructor and member function parameters.
+    BOOST_CHECK_THROW(pdf(boost::math::arcsine_distribution<RealType>(0, 1), -1), std::domain_error);
+    BOOST_CHECK_THROW(pdf(boost::math::arcsine_distribution<RealType>(-1, 1), +2), std::domain_error);
+    BOOST_CHECK_THROW(quantile(boost::math::arcsine_distribution<RealType>(1, 1), -1), std::domain_error);
+    BOOST_CHECK_THROW(quantile(boost::math::arcsine_distribution<RealType>(1, 1), 2), std::domain_error);
+
+    // No longer allow any parameter to be NaN or inf, so all these tests should throw.
+    if (std::numeric_limits<RealType>::has_quiet_NaN)
+    {
+      // Attempt to construct from non-finite parameters should throw.
+      RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+      BOOST_CHECK_THROW(arcsine_distribution<RealType> w(nan), std::domain_error);
+      BOOST_CHECK_THROW(arcsine_distribution<RealType> w(1, nan), std::domain_error);
+      BOOST_CHECK_THROW(arcsine_distribution<RealType> w(nan, 1), std::domain_error);
+
+      arcsine_distribution<RealType> w(RealType(-1), RealType(+1));
+      // NaN parameters to member functions should throw.
+      BOOST_CHECK_THROW(pdf(w, +nan), std::domain_error); // x = NaN
+      BOOST_CHECK_THROW(cdf(w, +nan), std::domain_error); // x = NaN
+      BOOST_CHECK_THROW(cdf(complement(w, +nan)), std::domain_error); // x = + nan
+      BOOST_CHECK_THROW(quantile(w, +nan), std::domain_error); // p = + nan
+      BOOST_CHECK_THROW(quantile(complement(w, +nan)), std::domain_error); // p = + nan
+    } // has_quiet_NaN
+
+    if (std::numeric_limits<RealType>::has_infinity)
+    {
+      // Attempt to construct from non-finite should throw.
+      RealType inf = std::numeric_limits<RealType>::infinity();
+
+      BOOST_CHECK_THROW(arcsine_distribution<RealType> w(inf), std::domain_error);
+      BOOST_CHECK_THROW(arcsine_distribution<RealType> w(1, inf), std::domain_error);
+
+      // Infinite parameters to member functions should throw.
+      arcsine_distribution<RealType> w(RealType(0), RealType(1));
+      BOOST_CHECK_THROW(arcsine_distribution<RealType> w(inf), std::domain_error);
+      BOOST_CHECK_THROW(arcsine_distribution<RealType> w(1, inf), std::domain_error);
+      BOOST_CHECK_THROW(pdf(w, +inf), std::domain_error); // x = inf
+      BOOST_CHECK_THROW(cdf(w, +inf), std::domain_error); // x = inf
+      BOOST_CHECK_THROW(cdf(complement(w, +inf)), std::domain_error); // x = + inf
+      BOOST_CHECK_THROW(quantile(w, +inf), std::domain_error); // p = + inf
+      BOOST_CHECK_THROW(quantile(complement(w, +inf)), std::domain_error); // p = + inf
+    } // has_infinity
+
+    // Error handling checks:
+    check_out_of_range<boost::math::arcsine_distribution<RealType> >(-1, +1); // (All) valid constructor parameter values.
+    // and range and non-finite.
+
+    test_ignore_policy(static_cast<RealType>(0));
+
+  } // template <class RealType>void test_spots(RealType)
+
+  BOOST_AUTO_TEST_CASE(test_main)
+  {
+    BOOST_MATH_CONTROL_FP;
+
+    // Check that can generate arcsine distribution using convenience method:
+    using boost::math::arcsine;
+
+    arcsine_distribution<> arcsine_01; // Using default RealType double.
+    // Note: NOT arcsine01() - or compiler will assume a function.
+
+    arcsine as; // Using typedef for default standard arcsine.
+
+    // 
+    BOOST_CHECK_EQUAL(as.x_min(), 0); //
+    BOOST_CHECK_EQUAL(as.x_max(), 1);
+    BOOST_CHECK_EQUAL(mean(as), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(as), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(as), 0.125); //0.125
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(as), one_div_root_two<double>() / 2, std::numeric_limits<double>::epsilon()); // 0.353553
+    BOOST_CHECK_EQUAL(skewness(as), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as), -1.5); // 3/2
+    BOOST_CHECK_EQUAL(support(as).first, 0); //
+    BOOST_CHECK_EQUAL(range(as).first, 0); //
+    BOOST_CHECK_THROW(mode(as), std::domain_error); //  Two modes at x_min and x_max, so throw instead.
+
+    // (Parameter value, arbitrarily zero, only communicates the floating point type).
+    test_spots(0.0F); // Test float.
+    test_spots(0.0); // Test double.
+    #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      test_spots(0.0L); // Test long double.
+      #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+        test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+      #endif
+    #endif
+  /*    */
+  } // BOOST_AUTO_TEST_CASE( test_main )
+
+  /*
+
+
+Microsoft Visual Studio Professional 2013
+Version 12.0.30110.00 Update 1
+
+  1>  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_arcsine.exe"
+  1>  Running 1 test case...
+  1>  Platform: Win32
+  1>  Compiler: Microsoft Visual C++ version 12.0  ???? MSVC says 2013 
+  1>  STL     : Dinkumware standard library version 610
+  1>  Boost   : 1.56.0
+
+  Sample Output is:
+
+  1>  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_arcsine.exe"
+  1>  Running 1 test case...
+  1>  Platform: Win32
+  1>  Compiler: Microsoft Visual C++ version 12.0
+  1>  STL     : Dinkumware standard library version 610
+  1>  Boost   : 1.56.0
+  1>  tolerance = 2.38419e-007
+  1>  tolerance = 4.44089e-016
+  1>  tolerance = 4.44089e-016
+  1>  tolerance = 4.44089e-016
+  1>
+  1>  *** No errors detected
+
+  GCC 4.9.1
+
+  Running 1 test case...
+  tolerance = 2.38419e-007
+  tolerance = 4.44089e-016
+  tolerance = 4.44089e-016
+  tolerance = 4.44089e-016
+
+  *** No errors detected
+
+  RUN SUCCESSFUL (total time: 141ms)
+
+  */
+
+
+
diff --git a/libs/math/test/test_bernoulli_constants.cpp b/libs/math/test/test_bernoulli_constants.cpp
index b41c2fdbf..82734b73c 100644
--- a/libs/math/test/test_bernoulli_constants.cpp
+++ b/libs/math/test/test_bernoulli_constants.cpp
@@ -223,9 +223,11 @@ BOOST_AUTO_TEST_CASE( test_main )
 {
    test<float>("float");
    test<double>("double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
    test<long double>("long double");
    test<boost::math::concepts::real_concept>("real_concept");
    test_real_concept_extra();
+#endif
 }
 
 
diff --git a/libs/math/test/test_bessel_airy_zeros.cpp b/libs/math/test/test_bessel_airy_zeros.cpp
index 77b9eefe1..a4f57558b 100644
--- a/libs/math/test/test_bessel_airy_zeros.cpp
+++ b/libs/math/test/test_bessel_airy_zeros.cpp
@@ -102,7 +102,7 @@ void test_bessel_zeros(RealType)
 
   // Parameter RealType is only used to communicate the RealType, float, double...
   // and is an arbitrary zero for all tests.
-   RealType tolerance = (std::max)(
+   RealType tolerance = 5 * (std::max)(
      static_cast<RealType>(boost::math::tools::epsilon<long double>()),
      boost::math::tools::epsilon<RealType>());
    std::cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << std::endl;
diff --git a/libs/math/test/test_carlson.cpp b/libs/math/test/test_carlson.cpp
index 1cf840883..9687fc2cc 100644
--- a/libs/math/test/test_carlson.cpp
+++ b/libs/math/test/test_carlson.cpp
@@ -81,28 +81,28 @@ void expected_results()
       ".*",                          // platform
       largest_type,                  // test type(s)
       ".*RJ.*",      // test data group
-      ".*", 180, 50);  // test function
+      ".*", 250, 50);  // test function
    add_expected_result(
       ".*",                          // compiler
       ".*",                          // stdlib
       ".*",                          // platform
       "real_concept",                  // test type(s)
       ".*RJ.*",      // test data group
-      ".*", 180, 50);  // test function
+      ".*", 250, 50);  // test function
    add_expected_result(
       ".*",                          // compiler
       ".*",                          // stdlib
       ".*",                          // platform
       largest_type,                  // test type(s)
       ".*",      // test data group
-      ".*", 15, 8);  // test function
+      ".*", 25, 8);  // test function
    add_expected_result(
       ".*",                          // compiler
       ".*",                          // stdlib
       ".*",                          // platform
       "real_concept",                  // test type(s)
       ".*",      // test data group
-      ".*", 15, 8);  // test function
+      ".*", 25, 8);  // test function
    //
    // Finish off by printing out the compiler/stdlib/platform names,
    // we do this to make it easier to mark up expected error rates.
diff --git a/libs/math/test/test_carlson.hpp b/libs/math/test/test_carlson.hpp
index 7f40a6098..5ef49ad70 100644
--- a/libs/math/test/test_carlson.hpp
+++ b/libs/math/test/test_carlson.hpp
@@ -90,7 +90,7 @@ void do_test_ellint_rj(T& data, const char* type_name, const char* test)
       bind_func<Real>(fp, 0, 1, 2, 3),
       extract_result<Real>(4));
       handle_test_result(result, data[result.worst()], result.worst(), 
-      type_name, "boost::math::ellint_rf", test);
+      type_name, "boost::math::ellint_rj", test);
 
    std::cout << std::endl;
 
@@ -121,6 +121,31 @@ void do_test_ellint_rd(T& data, const char* type_name, const char* test)
 
 }
 
+template <class Real, typename T>
+void do_test_ellint_rg(T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type(*fp)(value_type, value_type, value_type) = boost::math::ellint_rg<value_type, value_type, value_type>;
+#else
+   value_type(*fp)(value_type, value_type, value_type) = boost::math::ellint_rg;
+#endif
+   boost::math::tools::test_result<value_type> result;
+
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "boost::math::ellint_rg", test);
+
+   std::cout << std::endl;
+
+}
+
 template <typename T>
 void test_spots(T, const char* type_name)
 {
@@ -131,14 +156,14 @@ void test_spots(T, const char* type_name)
    // Elliptic Integrals, B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
    // RF:
    T tolerance = (std::max)(T(1e-13f), tools::epsilon<T>() * 5) * 100; // Note 5eps expressed as a persentage!!!
-   T eps2 = 2 * tools::epsilon<T>();
+   T eps2 = 5 * tools::epsilon<T>();
    BOOST_CHECK_CLOSE(ellint_rf(T(1), T(2), T(0)), T(1.3110287771461), tolerance);
    BOOST_CHECK_CLOSE(ellint_rf(T(0.5), T(1), T(0)), T(1.8540746773014), tolerance);
    BOOST_CHECK_CLOSE(ellint_rf(T(2), T(3), T(4)), T(0.58408284167715), tolerance);
    // RC:
    BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(0), T(1)/4), boost::math::constants::pi<T>(), eps2);
-   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(9)/4, T(2)), log(T(2)), eps2);
-   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(1)/4, T(-2)), log(T(2))/3, eps2);
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(9)/4, T(2)), boost::math::constants::ln_two<T>(), eps2);
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(1) / 4, T(-2)), boost::math::constants::ln_two<T>() / 3, eps2);
    // RJ:
    BOOST_CHECK_CLOSE(ellint_rj(T(0), T(1), T(2), T(3)), T(0.77688623778582), tolerance);
    BOOST_CHECK_CLOSE(ellint_rj(T(2), T(3), T(4), T(5)), T(0.14297579667157), tolerance);
@@ -202,6 +227,22 @@ void test_spots(T, const char* type_name)
 
    do_test_ellint_rf<T>(ellint_rf_data, type_name, "RF: Random data");
 
+#include "ellint_rf_xxx.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xxx, type_name, "RF: x = y = z");
+
+#include "ellint_rf_xyy.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xyy, type_name, "RF: x = y or y = z or x = z");
+
+#include "ellint_rf_0yy.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_0yy, type_name, "RF: x = 0, y = z");
+
+#include "ellint_rf_xy0.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xy0, type_name, "RF: z = 0");
+
 #include "ellint_rc_data.ipp"
 
    do_test_ellint_rc<T>(ellint_rc_data, type_name, "RC: Random data");
@@ -210,8 +251,64 @@ void test_spots(T, const char* type_name)
 
    do_test_ellint_rj<T>(ellint_rj_data, type_name, "RJ: Random data");
 
+#include "ellint_rj_e4.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e4, type_name, "RJ: 4 Equal Values");
+
+#include "ellint_rj_e3.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e3, type_name, "RJ: 3 Equal Values");
+
+#include "ellint_rj_e2.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e2, type_name, "RJ: 2 Equal Values");
+
+#include "ellint_rj_zp.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_zp, type_name, "RJ: Equal z and p");
+
 #include "ellint_rd_data.ipp"
 
    do_test_ellint_rd<T>(ellint_rd_data, type_name, "RD: Random data");
+
+#include "ellint_rd_xyy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xyy, type_name, "RD: y = z");
+
+#include "ellint_rd_xxz.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xxz, type_name, "RD: x = y");
+
+#include "ellint_rd_0yy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_0yy, type_name, "RD: x = 0, y = z");
+
+#include "ellint_rd_xxx.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xxx, type_name, "RD: x = y = z");
+
+#include "ellint_rd_0xy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_0xy, type_name, "RD: x = 0");
+
+#include "ellint_rg.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg, type_name, "RG: Random Data");
+
+#include "ellint_rg_00x.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_00x, type_name, "RG: two values 0");
+
+#include "ellint_rg_xxx.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xxx, type_name, "RG: All values the same or zero");
+
+#include "ellint_rg_xyy.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xyy, type_name, "RG: two values the same");
+
+#include "ellint_rg_xy0.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xy0, type_name, "RG: one value zero");
 }
 
diff --git a/libs/math/test/test_constants.cpp b/libs/math/test/test_constants.cpp
index e309cacb2..59eb008f6 100644
--- a/libs/math/test/test_constants.cpp
+++ b/libs/math/test/test_constants.cpp
@@ -58,6 +58,10 @@ constexpr float fval = boost::math::constants::pi<float>();
 constexpr double dval = boost::math::constants::pi<double>();
 constexpr long double ldval = boost::math::constants::pi<long double>();
 
+constexpr float fval2 = boost::math::float_constants::pi;
+constexpr double dval2 = boost::math::double_constants::pi;
+constexpr long double ldval2 = boost::math::long_double_constants::pi;
+
 #endif
 
 // We need to declare a conceptual type whose precision is unknown at
@@ -777,6 +781,7 @@ BOOST_AUTO_TEST_CASE( test_main )
 
    test_float_spots(); // Test float_constants, like boost::math::float_constants::pi;
    test_double_spots(); // Test double_constants.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
    test_long_double_spots(); // Test long_double_constants.
 #ifdef BOOST_MATH_USE_FLOAT128
    test_float128();
@@ -787,7 +792,7 @@ BOOST_AUTO_TEST_CASE( test_main )
    test_real_concept_policy(real_concept_policy_2()); // Increased precision forcing construction from string.
    test_real_concept_policy(real_concept_policy_3()); // Increased precision forcing caching of computed values.
    test_real_concept_policy(boost::math::policies::policy<>()); // Default.
-
+#endif
    // (Parameter value, arbitrarily zero, only communicates the floating-point type).
    test_spots(0.0F); // Test float.
    test_spots(0.0); // Test double.
diff --git a/libs/math/test/test_digamma.cpp b/libs/math/test/test_digamma.cpp
index 7926e7031..23ffc236a 100644
--- a/libs/math/test/test_digamma.cpp
+++ b/libs/math/test/test_digamma.cpp
@@ -43,6 +43,20 @@ void expected_results()
       ".*Negative.*",                    // test data group
       ".*", 300, 40);                // test function
    add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Near the Positive Root.*",  // test data group
+      ".*", 25000, 3000);            // test function
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Half.*",                    // test data group
+      ".*", 15, 10);                 // test function
+   add_expected_result(
       ".*",                          // compiler
       ".*",                          // stdlib
       ".*",                          // platform
@@ -72,8 +86,8 @@ void test_spots(T, const char* t)
    BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.125)), static_cast<T>(-8.3884926632958548678027429230863430000514460424495L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.5)), static_cast<T>(-1.9635100260214234794409763329987555671931596046604L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1)), static_cast<T>(-0.57721566490153286060651209008240243104215933593992L), tolerance);
-   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5)), static_cast<T>(0.036489973978576520559023667001244432806840395339566L), tolerance);
-   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5) - static_cast<T>(1)/32), static_cast<T>(0.00686541147073577672813890866512415766586241385896200579891429L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5)), static_cast<T>(0.036489973978576520559023667001244432806840395339566L), tolerance * 40);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5) - static_cast<T>(1)/32), static_cast<T>(0.00686541147073577672813890866512415766586241385896200579891429L), tolerance * 100);
    BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(2)), static_cast<T>(0.42278433509846713939348790991759756895784066406008L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(8)), static_cast<T>(2.0156414779556099965363450527747404261006978069172L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(12)), static_cast<T>(2.4426616799758120167383652547949424463027180089374L), tolerance);
diff --git a/libs/math/test/test_digamma.hpp b/libs/math/test/test_digamma.hpp
index 3653d1699..5d1de7cd7 100644
--- a/libs/math/test/test_digamma.hpp
+++ b/libs/math/test/test_digamma.hpp
@@ -82,6 +82,16 @@ void test_digamma(T, const char* name)
     }};
    do_test_digamma<T>(digamma_bugs, name, "Digamma Function: Values near 0");
 
+   static const boost::array<boost::array<T, 2>, 40> digamma_integers = { {
+      { 1, SC_(-0.57721566490153286060651209008240243) }, { 2, SC_(0.42278433509846713939348790991759757) }, { 3, SC_(0.92278433509846713939348790991759757) }, { 4, SC_(1.2561176684318004727268212432509309) }, { 5, SC_(1.5061176684318004727268212432509309) }, { 6, SC_(1.7061176684318004727268212432509309) }, { 7, SC_(1.8727843350984671393934879099175976) }, { 8, SC_(2.0156414779556099965363450527747404) }, { 9, SC_(2.1406414779556099965363450527747404) }, { SC_(10.0), SC_(2.2517525890667211076474561638858515) }, { SC_(11.0), SC_(2.3517525890667211076474561638858515) }, { SC_(12.0), SC_(2.4426616799758120167383652547949424) }, { SC_(13.0), SC_(2.5259950133091453500716985881282758) }, { SC_(14.0), SC_(2.6029180902322222731486216650513527) }, { SC_(15.0), SC_(2.6743466616607937017200502364799241) }, { SC_(16.0), SC_(2.7410133283274603683867169031465908) }, { SC_(17.0), SC_(2.8035133283274603683867169031465908) }, { SC_(18.0), SC_(2.8623368577392250742690698443230614) }, { SC_(19.0), SC_(2.9178924132947806298246253998786169) }, { SC_(20.0), SC_(2.9705239922421490508772569788259854) }, { SC_(21.0), SC_(3.0205239922421490508772569788259854) }, { SC_(22.0), SC_(3.0681430398611966699248760264450330) }, { SC_(23.0), SC_(3.1135975853157421244703305718995784) }, { SC_(24.0), SC_(3.1570758461853073418616349197256654) }, { SC_(25.0), SC_(3.1987425128519740085283015863923321) }, { SC_(26.0), SC_(3.2387425128519740085283015863923321) }, { SC_(27.0), SC_(3.2772040513135124700667631248538705) }, { SC_(28.0), SC_(3.3142410883505495071038001618909076) }, { SC_(29.0), SC_(3.3499553740648352213895144476051933) }, { SC_(30.0), SC_(3.3844381326855248765619282407086415) }, { SC_(31.0), SC_(3.4177714660188582098952615740419749) }, { SC_(32.0), SC_(3.4500295305349872421533260901710071) }, { SC_(33.0), SC_(3.4812795305349872421533260901710071) }, { SC_(34.0), SC_(3.5115825608380175451836291204740374) }, { SC_(35.0), SC_(3.5409943255438998981248055910622727) }, { SC_(36.0), SC_(3.5695657541153284695533770196337013) }, { SC_(37.0), SC_(3.5973435318931062473311547974114791) }, { SC_(38.0), SC_(3.6243705589201332743581818244385061) }, { SC_(39.0), SC_(3.6506863483938174848844976139121903) }, { SC_(40.0), SC_(3.6763273740348431259101386395532160) }
+   } };
+   do_test_digamma<T>(digamma_integers, name, "Digamma Function: Integer arguments");
+
+   static const boost::array<boost::array<T, 2>, 41> digamma_half_integers = { {
+      { SC_(0.5), SC_(-1.9635100260214234794409763329987556) }, { SC_(1.5), SC_(0.036489973978576520559023667001244433) }, { SC_(2.5), SC_(0.70315664064524318722569033366791110) }, { SC_(3.5), SC_(1.1031566406452431872256903336679111) }, { SC_(4.5), SC_(1.3888709263595289015114046193821968) }, { SC_(5.5), SC_(1.6110931485817511237336268416044190) }, { SC_(6.5), SC_(1.7929113303999329419154450234226009) }, { SC_(7.5), SC_(1.9467574842460867880692911772687547) }, { SC_(8.5), SC_(2.0800908175794201214026245106020880) }, { SC_(9.5), SC_(2.1977378764029495331673303929550292) }, { SC_(10.5), SC_(2.3030010342976863752725935508497661) }, { SC_(11.5), SC_(2.3982391295357816133678316460878613) }, { SC_(12.5), SC_(2.4851956512749120481504403417400352) }, { SC_(13.5), SC_(2.5651956512749120481504403417400352) }, { SC_(14.5), SC_(2.6392697253489861222245144158141093) }, { SC_(15.5), SC_(2.7082352425903654325693420020210058) }, { SC_(16.5), SC_(2.7727513716226234970854710342790703) }, { SC_(17.5), SC_(2.8333574322286841031460770948851310) }, { SC_(18.5), SC_(2.8905002893715412460032199520279881) }, { SC_(19.5), SC_(2.9445543434255953000572740060820421) }, { SC_(20.5), SC_(2.9958363947076465821085560573640934) }, { SC_(21.5), SC_(3.0446168825125246308890438622421422) }, { SC_(22.5), SC_(3.0911285104195013750750903738700492) }, { SC_(23.5), SC_(3.1355729548639458195195348183144936) }, { SC_(24.5), SC_(3.1781261463533075216471943927825787) }, { SC_(25.5), SC_(3.2189424728839197665451535764560481) }, { SC_(26.5), SC_(3.2581581591584295704667222039070285) }, { SC_(27.5), SC_(3.2958940082150333440516278642843870) }, { SC_(28.5), SC_(3.3322576445786697076879915006480234) }, { SC_(29.5), SC_(3.3673453638769153217230792199462690) }, { SC_(30.5), SC_(3.4012436689616610844349436267259300) }, { SC_(31.5), SC_(3.4340305542075627237792059218078972) }, { SC_(32.5), SC_(3.4657765859535944698109519535539290) }, { SC_(33.5), SC_(3.4965458167228252390417211843231597) }, { SC_(34.5), SC_(3.5263965629914819554596316320843538) }, { SC_(35.5), SC_(3.5553820702378587670538345306350784) }, { SC_(36.5), SC_(3.5835510843223658093073556573956418) }, { SC_(37.5), SC_(3.6109483445963384120470816847929021) }, { SC_(38.5), SC_(3.6376150112630050787137483514595687) }, { SC_(39.5), SC_(3.6635890372370310527397223774335947) }, { SC_(40.5), SC_(3.6889054929332335843852919976867593) }
+   } };
+   do_test_digamma<T>(digamma_half_integers, name, "Digamma Function: Half integer arguments");
+
    BOOST_CHECK_THROW(boost::math::digamma(T(0)), std::domain_error);
    BOOST_CHECK_THROW(boost::math::digamma(T(-1)), std::domain_error);
    BOOST_CHECK_THROW(boost::math::digamma(T(-2)), std::domain_error);
diff --git a/libs/math/test/test_ellint_3.cpp b/libs/math/test/test_ellint_3.cpp
index 892a3f938..9d4448eca 100644
--- a/libs/math/test/test_ellint_3.cpp
+++ b/libs/math/test/test_ellint_3.cpp
@@ -43,11 +43,11 @@ void expected_results()
 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
    if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
    {
-      largest_type = "(long\\s+)?double";
+      largest_type = "(long\\s+)?double|real_concept";
    }
    else
    {
-      largest_type = "long double";
+      largest_type = "long double|real_concept";
    }
 #else
    largest_type = "(long\\s+)?double";
@@ -67,21 +67,14 @@ void expected_results()
       ".*",                          // compiler
       ".*",                          // stdlib
       ".*",                          // platform
-      "real_concept",                  // test type(s)
-      ".*Large.*",      // test data group
-      ".*", 50, 20);  // test function
-   add_expected_result(
-      ".*",                          // compiler
-      ".*",                          // stdlib
-      ".*",                          // platform
       largest_type,                  // test type(s)
-      ".*",      // test data group
-      ".*", 15, 8);  // test function
+      ".*Mathworld.*",      // test data group
+      ".*", 600, 200);  // test function
    add_expected_result(
       ".*",                          // compiler
       ".*",                          // stdlib
       ".*",                          // platform
-      "real_concept",                  // test type(s)
+      largest_type,                  // test type(s)
       ".*",      // test data group
       ".*", 15, 8);  // test function
    //
diff --git a/libs/math/test/test_ellint_3.hpp b/libs/math/test/test_ellint_3.hpp
index 7c5893c75..29178d64b 100644
--- a/libs/math/test/test_ellint_3.hpp
+++ b/libs/math/test/test_ellint_3.hpp
@@ -14,6 +14,7 @@
 #include <boost/test/unit_test.hpp>
 #include <boost/test/floating_point_comparison.hpp>
 #include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
 #include <boost/array.hpp>
 #include "functor.hpp"
 
@@ -78,8 +79,9 @@ void do_test_ellint_pi2(T& data, const char* type_name, const char* test)
 template <typename T>
 void test_spots(T, const char* type_name)
 {
+    BOOST_MATH_STD_USING
     // function values calculated on http://functions.wolfram.com/
-    static const boost::array<boost::array<T, 4>, 25> data1 = {{
+    static const boost::array<boost::array<T, 4>, 65> data1 = {{
         {{ SC_(1.0), SC_(-1.0), SC_(0.0), SC_(-1.557407724654902230506974807458360173087) }},
         {{ SC_(0.0), SC_(-4.0), SC_(0.4), SC_(-4.153623371196831087495427530365430979011) }},
         {{ SC_(0.0), SC_(8.0), SC_(-0.6), SC_(8.935930619078575123490612395578518914416) }},
@@ -105,7 +107,55 @@ void test_spots(T, const char* type_name)
         {{ SC_(1.125), SC_(3.0), SC_(0.25), SC_(-0.142697285116693775525461312178015106079842313950476205580178) }},
         {{ T(257)/256, SC_(1.5), SC_(0.125), SC_(22.2699300473528164111357290313578126108398839810535700884237) }},
         {{ T(257)/256, SC_(21.5), SC_(0.125), SC_(-0.535406081652313940727588125663856894154526187713506526799429) }},
-    }};
+        // Bug cases from Rocco Romeo:
+        { { SC_(-1E-170), boost::math::constants::pi<T>() / 4, SC_(1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+        { { SC_(-1E-170), boost::math::constants::pi<T>() / 4, SC_(-1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+        { { -ldexp(T(1.0), -52), boost::math::constants::pi<T>() / 4, SC_(0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+        { { -ldexp(T(1.0), -52), boost::math::constants::pi<T>() / 4, SC_(-0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? -ldexp(T(1), 604) : T(0), -ldexp(T(1), -816), ldexp(T(1), -510), std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? -ldexp(T(1), 604) : T(0), -ldexp(T(1), -816), -ldexp(T(1), -510), std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+        { { -ldexp(T(1), -622), -ldexp(T(1), -800), ldexp(T(1), -132), SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+        { { -ldexp(T(1), -622), -ldexp(T(1), -800), -ldexp(T(1), -132), SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+        { { -ldexp(T(1), -562), ldexp(T(1), -140), ldexp(T(1), -256), SC_(7.174648137343063403129495466444370592154941142407760751e-43) } },
+        { { -ldexp(T(1), -562), -ldexp(T(1), -140), ldexp(T(1), -256), SC_(-7.17464813734306340312949546644437059215494114240776075e-43) } },
+        { { ldexp(T(1), -688), -ldexp(T(1), -243), ldexp(T(1), -193), SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+        { { -ldexp(T(1), -688), -ldexp(T(1), -243), ldexp(T(1), -193), SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+        // Special cases where k = 0:
+        { { SC_(0.5), SC_(1.0), SC_(0.0), SC_(1.17881507892743738986863357869566288974084658835353613038547) } },
+        { { SC_(-0.5), SC_(1.0), SC_(0.0), SC_(0.888286691263535380266337576823783210424994266596287990733270) } },
+        { { SC_(0.5), SC_(-1.0), SC_(0.0), SC_(-1.17881507892743738986863357869566288974084658835353613038547) } },
+        { { SC_(-0.5), SC_(-1.0), SC_(0.0), SC_(-0.888286691263535380266337576823783210424994266596287990733270) } },
+        // k == 0 and phi > pi/2:
+        { { SC_(0.5), SC_(2.0), SC_(0.0), SC_(3.03379730757207227653600089552126882582809860566558143254794) } },
+        { { SC_(-0.5), SC_(2.0), SC_(0.0), SC_(1.57453655812023739911111328195028658229986230310938753315640) } },
+        { { SC_(0.5), SC_(-2.0), SC_(0.0), SC_(-3.03379730757207227653600089552126882582809860566558143254794) } },
+        { { SC_(-0.5), SC_(-2.0), SC_(0.0), SC_(-1.57453655812023739911111328195028658229986230310938753315640) } },
+        // Special cases where k = 1:
+        { { SC_(0.5), SC_(1.0), SC_(1.0), SC_(1.4830998734200773326887632776553375078936815318419194718912351) } },
+        { { SC_(-0.5), SC_(1.0), SC_(1.0), SC_(1.07048347329000030842347009377117215811122412769516781788253) } },
+        { { SC_(0.5), SC_(-1.0), SC_(1.0), SC_(-1.4830998734200773326887632776553375078936815318419194718912) } },
+        { { SC_(-0.5), SC_(-1.0), SC_(1.0), SC_(-1.07048347329000030842347009377117215811122412769516781788253) } },
+        // special cases where v = 1:
+        { { SC_(1.0), SC_(0.5), SC_(0.5), SC_(0.55225234291197632914658859230278152249148960801635386133501) } },
+        { { SC_(1.0), SC_(-0.5), SC_(0.5), SC_(-0.55225234291197632914658859230278152249148960801635386133501) } },
+        { { SC_(1.0), SC_(2.0), SC_(0.5), SC_(-2.87534521505997989921579168327307068134740792740155171368532) } },
+        { { SC_(1.0), SC_(-2.0), SC_(0.5), SC_(2.87534521505997989921579168327307068134740792740155171368532) } },
+        { { SC_(1.0), SC_(2.0), ldexp(T(1), -200), SC_(-2.18503986326151899164330610231368254343201774622766316456295) } },
+        { { SC_(1.0), SC_(-2.0), ldexp(T(1), -200), SC_(2.18503986326151899164330610231368254343201774622766316456295) } },
+        { { SC_(1.0), ldexp(T(1.0), -150), ldexp(T(1), -200), SC_(7.006492321624085354618647916449580656401309709382578858e-46) } },
+        { { SC_(1.0), -ldexp(T(1.0), -150), ldexp(T(1), -200), SC_(-7.006492321624085354618647916449580656401309709382578858e-46) } },
+        // Previously unsupported region with v > 1 and |phi| > PI/2, this is the only region
+        // with high-ish error rates caused by argument reduction by Pi:
+        { { SC_(20.0), ldexp(T(1647611), -19), SC_(0.5), SC_(0.000975940902692994840122139131147517258405256880370413541280) } },
+        { { SC_(20.0), -ldexp(T(1647611), -19), SC_(0.5), SC_(-0.000975940902692994840122139131147517258405256880370413541280) } },
+        { { SC_(1.0) + ldexp(T(1), -6), ldexp(T(889085), -19), SC_(0.5), SC_(-27.1647225624906589308619292363045712770651414487085887109197) } },
+        { { SC_(1.0) + ldexp(T(1), -6), -ldexp(T(889085), -19), SC_(0.5), SC_(27.1647225624906589308619292363045712770651414487085887109197) } },
+        // Phi = 0:
+        { { SC_(1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(-1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(-100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+    } };
 
     do_test_ellint_pi3<T>(data1, type_name, "Elliptic Integral PI: Mathworld Data");
 
@@ -118,7 +168,7 @@ void test_spots(T, const char* type_name)
     do_test_ellint_pi3<T>(ellint_pi3_large_data, type_name, "Elliptic Integral PI: Large Random Data");
 
     // function values calculated on http://functions.wolfram.com/
-    static const boost::array<boost::array<T, 3>, 9> data2 = {{
+    static const boost::array<boost::array<T, 3>, 17> data2 = {{
         {{ SC_(0.0), SC_(0.2), SC_(1.586867847454166237308008033828114192951) }},
         {{ SC_(0.0), SC_(0.4), SC_(1.639999865864511206865258329748601457626) }},
         {{ SC_(0.0), SC_(0.0), SC_(1.57079632679489661923132169163975144209858469968755291048747) }},
@@ -128,7 +178,16 @@ void test_spots(T, const char* type_name)
         {{ SC_(-1e+10), SC_(-0.75), SC_(0.0000157080225184890546939710019277357161497407143903832703317801) }},
         {{ T(1) / 1024, SC_(-0.875), SC_(2.18674503176462374414944618968850352696579451638002110619287) }},
         {{ T(1023)/1024, SC_(-0.875), SC_(101.045289804941384100960063898569538919135722087486350366997) }},
-    }};
+        // Bug cases from Rocco Romeo:
+        { { SC_(1e-175), T(0), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(1e-170), SC_(1E-164), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(1e-170), SC_(-1E-164), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { -1.5f * ldexp(T(1), -52), SC_(-0.9375), SC_(2.48840049140103464299631535211815755485846563527849342319632) } },
+        { { -1.5f * ldexp(T(1), -52), SC_(0.9375), SC_(2.48840049140103464299631535211815755485846563527849342319632) } },
+        { { ldexp(T(1), -560), ldexp(T(1), -165), SC_(1.57079632679489661923132169163975144209858469968756130722545) } },
+        { { ldexp(T(1), -560), -ldexp(T(1), -165), SC_(1.57079632679489661923132169163975144209858469968754451374949) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? -ldexp(T(1), 600) : 0, SC_(0.5), std::numeric_limits<T>::max_exponent > 600 ? SC_(7.71118598318249916481121898327895181916104121635240801895419e-91) : SC_(1.68575035481259604287120365779907698950080089414108904411995) } },
+    } };
 
     do_test_ellint_pi2<T>(data2, type_name, "Complete Elliptic Integral PI: Mathworld Data");
 
@@ -142,4 +201,7 @@ void test_spots(T, const char* type_name)
     BOOST_CHECK_THROW(boost::math::ellint_3(T(1.0001), T(-1)), std::domain_error);
     BOOST_CHECK_THROW(boost::math::ellint_3(T(0.5), T(1)), std::domain_error);
     BOOST_CHECK_THROW(boost::math::ellint_3(T(0.5), T(2)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_3(T(1), T(0.5), T(2)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_3(T(1), T(-0.5), T(2)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_3(T(1), T(-0.5), T(-2)), std::domain_error);
 }
diff --git a/libs/math/test/test_ellint_d.cpp b/libs/math/test/test_ellint_d.cpp
new file mode 100644
index 000000000..628ae4535
--- /dev/null
+++ b/libs/math/test/test_ellint_d.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  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 <pch_light.hpp>
+#include "test_ellint_d.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::cout;
+#endif
+
+}
diff --git a/libs/math/test/test_ellint_d.hpp b/libs/math/test/test_ellint_d.hpp
new file mode 100644
index 000000000..88e7ac193
--- /dev/null
+++ b/libs/math/test/test_ellint_d.hpp
@@ -0,0 +1,110 @@
+// Copyright John Maddock 2015.
+//  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)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_d2(const T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "boost::math::ellint_d", test);
+
+   std::cout << std::endl;
+}
+
+template <class Real, typename T>
+void do_test_ellint_d1(T& data, const char* type_name, const char* test)
+{
+    typedef Real                   value_type;
+    boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type (*fp1)(value_type) = boost::math::ellint_d<value_type>;
+#else
+   value_type (*fp1)(value_type) = boost::math::ellint_d;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "boost::math::ellint_d", test);
+
+   std::cout << std::endl;
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 10> data1 = {{
+       { { SC_(0.5), SC_(0.5), SC_(0.040348098248931543984282958654503585) } },
+        {{ SC_(0), SC_(0.5), SC_(0) }},
+        { { SC_(1), SC_(0.5), SC_(0.28991866293419922467977188008516755) } },
+        { { SC_(1), T(1), SC_(0.38472018607562056416055864584160775) } },
+        { { SC_(-1), T(1), SC_(-0.38472018607562056416055864584160775) } },
+        { { SC_(-1), T(0.5), SC_(-0.28991866293419922467977188008516755) } },
+        { { SC_(-10), T(0.5), SC_(-5.2996914501577855803123384771117708) } },
+        { { SC_(10), SC_(-0.5), SC_(5.2996914501577855803123384771117708) } },
+    }};
+
+    do_test_ellint_d2<T>(data1, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_d2_data.ipp"
+
+    do_test_ellint_d2<T>(ellint_d2_data, type_name, "Elliptic Integral D: Random Data");
+
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 2>, 3> data2 = {{
+       { { SC_(0.5), SC_(0.87315258189267554964563356323264341) } },
+       { { SC_(1.0) / 1024, SC_(0.78539844427788694671464428063604776) } },
+       { { boost::math::tools::root_epsilon<T>(), SC_(0.78539816339744830961566084581987572) } }
+    }};
+
+    do_test_ellint_d1<T>(data2, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_d_data.ipp"
+
+    do_test_ellint_d1<T>(ellint_d_data, type_name, "Elliptic Integral D: Random Data");
+}
+
diff --git a/libs/math/test/test_extreme_value.cpp b/libs/math/test/test_extreme_value.cpp
index cb50b503e..93df67699 100644
--- a/libs/math/test/test_extreme_value.cpp
+++ b/libs/math/test/test_extreme_value.cpp
@@ -192,6 +192,17 @@ void test_spots(RealType)
       BOOST_CHECK_EQUAL(cdf(complement(extreme_value_distribution<RealType>(), -inf)), 1);
       BOOST_CHECK_EQUAL(cdf(complement(extreme_value_distribution<RealType>(), inf)), 0);
    }
+   //
+   // Bug reports:
+   //
+   // https://svn.boost.org/trac/boost/ticket/10938:
+   BOOST_CHECK_CLOSE(
+   ::boost::math::pdf(
+      extreme_value_distribution<RealType>(0, 1),
+      static_cast<RealType>(-1000)),              // x
+      static_cast<RealType>(0),                // probability.
+      tolerance); // %
+
 } // template <class RealType>void test_spots(RealType)
 
 BOOST_AUTO_TEST_CASE( test_main )
diff --git a/libs/math/test/test_gamma.hpp b/libs/math/test/test_gamma.hpp
index 3f0b9621e..fa2075cbb 100644
--- a/libs/math/test/test_gamma.hpp
+++ b/libs/math/test/test_gamma.hpp
@@ -188,7 +188,7 @@ void test_spots(T, const char* name)
 
    // Very small values, from a bug report by Rocco Romeo:
    BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -12)), static_cast<T>(4095.42302574977164107280305038926932586783813167844235368772L), tolerance);
-   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -14)), static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -14)), static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L), tolerance * 2);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -25)), static_cast<T>(3.35544314227843645746319656372890833248893111091576093784981e7L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -27)), static_cast<T>(1.34217727422784342467508497080056807355928046680073490038257e8L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -29)), static_cast<T>(5.36870911422784336940727488260481582524683632281496706906706e8L), tolerance);
@@ -199,7 +199,7 @@ void test_spots(T, const char* name)
    BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -33)), static_cast<T>(8.58993459142278433521360841138215453639282914047157884932317481977e9L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(4 / boost::math::tools::max_value<T>()), boost::math::tools::max_value<T>() / 4, tolerance);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -12)), static_cast<T>(-4096.57745718775464971331294488248972086965434176847741450728L), tolerance);
-   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -14)), static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -14)), static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L), tolerance * 2);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -25)), static_cast<T>(-3.35544325772156943776992988569766723938420508937071533029983e7L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -27)), static_cast<T>(-1.34217728577215672270574319043497450577151370942651414968627e8L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -29)), static_cast<T>(-5.36870912577215666743793215770406791630514293641886249382012e8L), tolerance);
@@ -223,7 +223,7 @@ void test_spots(T, const char* name)
    if (boost::math::tools::digits<T>() > 60)
    {
       BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -55)), static_cast<T>(-3.60287970189639684227843350984671785799289582631555600561524e16L), tolerance);
-      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -55)), static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -55)), static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L), tolerance * 2);
       BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -55)), static_cast<T>(1.50119987579016539608823618465835611632004877549994080474627e15L), tolerance * extra_tol);
       BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -55)), static_cast<T>(-1.50119987579016527057843048200831672241827850458884790004313e15L), tolerance * extra_tol);
    }
diff --git a/libs/math/test/test_heuman_lambda.cpp b/libs/math/test/test_heuman_lambda.cpp
new file mode 100644
index 000000000..8a0f1dffa
--- /dev/null
+++ b/libs/math/test/test_heuman_lambda.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  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 <pch_light.hpp>
+#include "test_heuman_lambda.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::cout;
+#endif
+
+}
diff --git a/libs/math/test/test_heuman_lambda.hpp b/libs/math/test/test_heuman_lambda.hpp
new file mode 100644
index 000000000..094a6a8d8
--- /dev/null
+++ b/libs/math/test/test_heuman_lambda.hpp
@@ -0,0 +1,71 @@
+// Copyright John Maddock 2015.
+//  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)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_heuman_lambda(const T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+   value_type(*fp2)(value_type, value_type) = boost::math::heuman_lambda;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "boost::math::heuman_lambda", test);
+
+   std::cout << std::endl;
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 5> data1 = {{
+       { { SC_(0.25), SC_(0.5), SC_(0.231195544262270355901990821099667428154924832224446817213200) } },
+       { { SC_(-0.25), SC_(0.5), SC_(-0.231195544262270355901990821099667428154924832224446817213200) } },
+        { { SC_(0), SC_(0.5), SC_(0) } },
+        { { SC_(1), T(0.5), SC_(0.792745183008071035953588061452801838417979005666066982987549) } },
+        { { SC_(1), T(0), SC_(0.841470984807896506652502321630298999622563060798371065672751) } },
+    }};
+
+    do_test_heuman_lambda<T>(data1, type_name, "Elliptic Integral Jacobi Zeta: Mathworld Data");
+
+#include "heuman_lambda_data.ipp"
+
+    do_test_heuman_lambda<T>(heuman_lambda_data, type_name, "Elliptic Integral Heuman Lambda: Random Data");
+}
+
diff --git a/libs/math/test/test_hyperexponential_dist.cpp b/libs/math/test/test_hyperexponential_dist.cpp
index eab0df251..975202fc4 100644
--- a/libs/math/test/test_hyperexponential_dist.cpp
+++ b/libs/math/test/test_hyperexponential_dist.cpp
@@ -68,7 +68,7 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(klass, RealT, test_types)
     BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_r.probabilities(), std::vector<RealT>(probs, probs+n), tol);
     BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_r.rates(), std::vector<RealT>(rates, rates+n), tol);
     
-#ifndef BOOST_NO_CXX11_HDR_INITIALIZER_LIST
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !(defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40500))
     boost::math::hyperexponential_distribution<RealT> dist_il = {{static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L)}, {static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L)}};
     BOOST_CHECK_EQUAL(dist_il.num_phases(), n);
     BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_il.probabilities(), std::vector<RealT>(probs, probs+n), tol);
@@ -321,7 +321,7 @@ BOOST_AUTO_TEST_CASE(construct)
    result_v = he2.probabilities();
    BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
 
-#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST)
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !(defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40500))
    std::initializer_list<double> il = { 0.25, 0.5, 0.25 };
    std::initializer_list<double> il2 = { 0.5, 1, 1.5 };
    boost::math::hyperexponential he3(il, il2);
diff --git a/libs/math/test/test_hypergeometric_dist.cpp b/libs/math/test/test_hypergeometric_dist.cpp
index 49491e49f..db926c78a 100644
--- a/libs/math/test/test_hypergeometric_dist.cpp
+++ b/libs/math/test/test_hypergeometric_dist.cpp
@@ -224,7 +224,7 @@ void do_test_hypergeometric_quantile(const T& data, const char* type_name, const
          value_type cp = data[i][5];
          value_type ccp = data[i][6];
          //
-         // A bit of warning supression:
+         // A bit of warning suppression:
          //
          (void)x;
          (void)n;
@@ -335,7 +335,7 @@ void test_spot(unsigned x, unsigned n, unsigned r, unsigned N,
                RealType p, RealType cp, RealType ccp, RealType tol)
 {
    //
-   // A bit of warning supression:
+   // A bit of warning suppression:
    //
    (void)x;
    (void)n;
diff --git a/libs/math/test/test_ibeta.hpp b/libs/math/test/test_ibeta.hpp
index 55bb9fe0c..a1606312f 100644
--- a/libs/math/test/test_ibeta.hpp
+++ b/libs/math/test/test_ibeta.hpp
@@ -362,5 +362,45 @@ void test_spots(T)
          static_cast<T>(1),
          static_cast<T>(0.825L)),
       static_cast<T>(0.996883849270604867987018345952777458206564642094991979259788L), tolerance);
+
+   //
+   // Bug cases from Rocco Romeo:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(2),
+      static_cast<T>(24),
+      ldexp(static_cast<T>(1), -52)),
+      static_cast<T>(2.46519032881565349871772482100516780410072110983579277754743e-32L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(2),
+      static_cast<T>(24),
+      ldexp(static_cast<T>(1), -52)),
+      static_cast<T>(1.47911419728939209923063489260310068246043266590147566652846e-29L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(3),
+      static_cast<T>(2),
+      ldexp(static_cast<T>(1), -270)),
+      static_cast<T>(4.88182556606650701438035298707052523938789614661168065734809e-245L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(2),
+      static_cast<T>(31),
+      ldexp(static_cast<T>(1), -373)),
+      static_cast<T>(1.35080680244581673116149460571129957689952846520037541640260e-225L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(3),
+      static_cast<T>(2),
+      ldexp(static_cast<T>(1), -270)),
+      static_cast<T>(5.85819067927980841725642358448463028726547537593401678881771e-244L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(2),
+      static_cast<T>(31),
+      ldexp(static_cast<T>(1), -373)),
+      static_cast<T>(1.34000034802625019731220264886560918028433223747877241307138e-222L), tolerance);
 }
 
diff --git a/libs/math/test/test_igamma.hpp b/libs/math/test/test_igamma.hpp
index 40b59d0d6..056bbc43e 100644
--- a/libs/math/test/test_igamma.hpp
+++ b/libs/math/test/test_igamma.hpp
@@ -208,6 +208,7 @@ void test_spots(T)
    BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(8.841761993739701954543616000000e30L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(3.943507283668378474979245322638092813837393749566146974e-273L), tolerance);
    BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(4.460092102072560946444018923090222645613009128135650652e-304L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p_derivative(static_cast<T>(2), ldexp(T(1), -575)), static_cast<T>(8.08634922390438981326119906687585206568664784377654648227177e-174L), tolerance);
 
    typedef boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::throw_on_error> > throw_policy;
 
@@ -215,6 +216,11 @@ void test_spots(T)
    {
       BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(176), static_cast<T>(100)), std::numeric_limits<T>::infinity());
       //BOOST_CHECK_THROW(::boost::math::tgamma(static_cast<T>(176), static_cast<T>(100), throw_policy()), std::overflow_error);
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(530), static_cast<T>(2000)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(740), static_cast<T>(2500)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(530.5), static_cast<T>(2000)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(740.5), static_cast<T>(2500)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(10000.0f), static_cast<T>(10000.0f / 4)), std::numeric_limits<T>::infinity());
    }
    if(std::numeric_limits<T>::max_exponent >= 1024)
    {
diff --git a/libs/math/test/test_instances/double_test_instances_4.cpp b/libs/math/test/test_instances/double_test_instances_4.cpp
index b0ae08221..b9f79942b 100644
--- a/libs/math/test/test_instances/double_test_instances_4.cpp
+++ b/libs/math/test/test_instances/double_test_instances_4.cpp
@@ -11,6 +11,14 @@
 #include <boost/math/special_functions/ellint_1.hpp>
 #include <boost/math/special_functions/ellint_2.hpp>
 #include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
 #endif
 
 #define BOOST_MATH_TEST_TYPE double
diff --git a/libs/math/test/test_instances/double_test_instances_5.cpp b/libs/math/test/test_instances/double_test_instances_5.cpp
index 3c4d0a336..62dbbe2f1 100644
--- a/libs/math/test/test_instances/double_test_instances_5.cpp
+++ b/libs/math/test/test_instances/double_test_instances_5.cpp
@@ -9,6 +9,7 @@
 #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
 #include <boost/math/special_functions/gamma.hpp>
 #include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
 #endif
 
 #define BOOST_MATH_TEST_TYPE double
diff --git a/libs/math/test/test_instances/double_test_instances_6.cpp b/libs/math/test/test_instances/double_test_instances_6.cpp
index 2edbc5d37..5fc890867 100644
--- a/libs/math/test/test_instances/double_test_instances_6.cpp
+++ b/libs/math/test/test_instances/double_test_instances_6.cpp
@@ -13,6 +13,8 @@
 #include <boost/math/special_functions/expm1.hpp>
 #include <boost/math/special_functions/powm1.hpp>
 #include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
 #endif
 
 #define BOOST_MATH_TEST_TYPE double
diff --git a/libs/math/test/test_instances/float_test_instances_4.cpp b/libs/math/test/test_instances/float_test_instances_4.cpp
index 7ade3cce0..344354be8 100644
--- a/libs/math/test/test_instances/float_test_instances_4.cpp
+++ b/libs/math/test/test_instances/float_test_instances_4.cpp
@@ -11,6 +11,14 @@
 #include <boost/math/special_functions/ellint_1.hpp>
 #include <boost/math/special_functions/ellint_2.hpp>
 #include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
 #endif
 
 #define BOOST_MATH_TEST_TYPE float
diff --git a/libs/math/test/test_instances/float_test_instances_5.cpp b/libs/math/test/test_instances/float_test_instances_5.cpp
index 13e9e34f3..4e2315c06 100644
--- a/libs/math/test/test_instances/float_test_instances_5.cpp
+++ b/libs/math/test/test_instances/float_test_instances_5.cpp
@@ -9,6 +9,7 @@
 #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
 #include <boost/math/special_functions/gamma.hpp>
 #include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
 #endif
 
 #define BOOST_MATH_TEST_TYPE float
diff --git a/libs/math/test/test_instances/float_test_instances_6.cpp b/libs/math/test/test_instances/float_test_instances_6.cpp
index 580a9adac..8d8400131 100644
--- a/libs/math/test/test_instances/float_test_instances_6.cpp
+++ b/libs/math/test/test_instances/float_test_instances_6.cpp
@@ -13,6 +13,8 @@
 #include <boost/math/special_functions/expm1.hpp>
 #include <boost/math/special_functions/powm1.hpp>
 #include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
 #endif
 
 #define BOOST_MATH_TEST_TYPE float
diff --git a/libs/math/test/test_instances/ldouble_test_instances_4.cpp b/libs/math/test/test_instances/ldouble_test_instances_4.cpp
index 8596661c6..f7ba9783c 100644
--- a/libs/math/test/test_instances/ldouble_test_instances_4.cpp
+++ b/libs/math/test/test_instances/ldouble_test_instances_4.cpp
@@ -11,6 +11,14 @@
 #include <boost/math/special_functions/ellint_1.hpp>
 #include <boost/math/special_functions/ellint_2.hpp>
 #include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
 #endif
 
 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
diff --git a/libs/math/test/test_instances/ldouble_test_instances_5.cpp b/libs/math/test/test_instances/ldouble_test_instances_5.cpp
index 5e0e04c23..6e4599b64 100644
--- a/libs/math/test/test_instances/ldouble_test_instances_5.cpp
+++ b/libs/math/test/test_instances/ldouble_test_instances_5.cpp
@@ -9,6 +9,7 @@
 #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
 #include <boost/math/special_functions/gamma.hpp>
 #include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
 #endif
 
 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
diff --git a/libs/math/test/test_instances/ldouble_test_instances_6.cpp b/libs/math/test/test_instances/ldouble_test_instances_6.cpp
index 5a03396b2..c56695fec 100644
--- a/libs/math/test/test_instances/ldouble_test_instances_6.cpp
+++ b/libs/math/test/test_instances/ldouble_test_instances_6.cpp
@@ -13,6 +13,8 @@
 #include <boost/math/special_functions/expm1.hpp>
 #include <boost/math/special_functions/powm1.hpp>
 #include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
 #endif
 
 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
diff --git a/libs/math/test/test_instances/real_concept_test_instances_4.cpp b/libs/math/test/test_instances/real_concept_test_instances_4.cpp
index 346975a6c..63c907e62 100644
--- a/libs/math/test/test_instances/real_concept_test_instances_4.cpp
+++ b/libs/math/test/test_instances/real_concept_test_instances_4.cpp
@@ -11,6 +11,14 @@
 #include <boost/math/special_functions/ellint_1.hpp>
 #include <boost/math/special_functions/ellint_2.hpp>
 #include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
 #endif
 
 #include <boost/math/tools/config.hpp>
diff --git a/libs/math/test/test_instances/real_concept_test_instances_5.cpp b/libs/math/test/test_instances/real_concept_test_instances_5.cpp
index 14fc0909b..6dd7d0433 100644
--- a/libs/math/test/test_instances/real_concept_test_instances_5.cpp
+++ b/libs/math/test/test_instances/real_concept_test_instances_5.cpp
@@ -9,6 +9,7 @@
 #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
 #include <boost/math/special_functions/gamma.hpp>
 #include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
 #endif
 
 #include <boost/math/tools/config.hpp>
diff --git a/libs/math/test/test_instances/real_concept_test_instances_6.cpp b/libs/math/test/test_instances/real_concept_test_instances_6.cpp
index 05ad5324b..18137510d 100644
--- a/libs/math/test/test_instances/real_concept_test_instances_6.cpp
+++ b/libs/math/test/test_instances/real_concept_test_instances_6.cpp
@@ -13,6 +13,8 @@
 #include <boost/math/special_functions/expm1.hpp>
 #include <boost/math/special_functions/powm1.hpp>
 #include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
 #endif
 
 #include <boost/math/tools/config.hpp>
diff --git a/libs/math/test/test_instances/test_instances.hpp b/libs/math/test/test_instances/test_instances.hpp
index 889e9b2f1..e9aef129f 100644
--- a/libs/math/test/test_instances/test_instances.hpp
+++ b/libs/math/test/test_instances/test_instances.hpp
@@ -206,12 +206,32 @@ namespace boost{ namespace math{
    template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
          ellint_rj(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE p, const policies::policy<>& pol);
 
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      ellint_rg(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      ellint_rg(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
    template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k);
 
    template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
 
    template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
 
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_zeta(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_zeta(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type heuman_lambda(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type heuman_lambda(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
    template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k);
 
    template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
@@ -287,8 +307,13 @@ namespace boost{ namespace math{
 
    // digamma:
    template tools::promote_args<BOOST_MATH_TEST_TYPE>::type digamma(BOOST_MATH_TEST_TYPE x);
-
    template tools::promote_args<BOOST_MATH_TEST_TYPE>::type digamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   // trigamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type trigamma(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type trigamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   // polygamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type polygamma(int, BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type polygamma(int, BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
 #endif
 #ifdef TEST_GROUP_6
    // Hypotenuse function sqrt(x ^ 2 + y ^ 2).
@@ -332,6 +357,12 @@ namespace boost{ namespace math{
    template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sqrt1pm1(const BOOST_MATH_TEST_TYPE& val);
 
    template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sqrt1pm1(const BOOST_MATH_TEST_TYPE& val, const policies::policy<>&);
+
+   // sin_pi, cos_pi
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sin_pi(const BOOST_MATH_TEST_TYPE val);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sin_pi(const BOOST_MATH_TEST_TYPE val, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cos_pi(const BOOST_MATH_TEST_TYPE val);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cos_pi(const BOOST_MATH_TEST_TYPE val, const policies::policy<>&);
 #endif
 #ifdef TEST_GROUP_7
    // Bessel functions:
diff --git a/libs/math/test/test_jacobi_zeta.cpp b/libs/math/test/test_jacobi_zeta.cpp
new file mode 100644
index 000000000..5fe7cc9be
--- /dev/null
+++ b/libs/math/test/test_jacobi_zeta.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  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 <pch_light.hpp>
+#include "test_jacobi_zeta.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::cout;
+#endif
+
+}
diff --git a/libs/math/test/test_jacobi_zeta.hpp b/libs/math/test/test_jacobi_zeta.hpp
new file mode 100644
index 000000000..67799c015
--- /dev/null
+++ b/libs/math/test/test_jacobi_zeta.hpp
@@ -0,0 +1,90 @@
+// Copyright John Maddock 2015.
+//  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)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+//#include <boost/math/special_functions/next.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_jacobi_zeta(const T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+   value_type(*fp2)(value_type, value_type) = boost::math::jacobi_zeta;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "boost::math::jacobi_zeta", test);
+
+   std::cout << std::endl;
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 18> data1 = {{
+       { { SC_(0.5), SC_(0.5), SC_(0.055317014255129651475392155709691519) } },
+       { { SC_(-0.5), SC_(0.5), SC_(-0.055317014255129651475392155709691519) } },
+        { { SC_(0), SC_(0.5), SC_(0) } },
+        { { SC_(1), T(0.5), SC_(0.061847782565098669252626761181452815) } },
+//        { { boost::math::float_prior(boost::math::constants::half_pi<T>()), T(0.5), SC_(0) } },
+        { { SC_(1), T(0), SC_(0) } },
+        { { SC_(1), T(1), SC_(0.84147098480789650665250232163029900) } },
+        { { SC_(2), T(0.5), SC_(-0.051942537457672732722176231281435254) } },
+        { { SC_(5), T(0.5), SC_(-0.037609329968145259476447488930872898) } },
+        { { SC_(0.5), SC_(1), SC_(0.479425538604203000273287935215571388081803367940600675188616) } },
+       { { boost::math::constants::half_pi<T>() - static_cast<T>(1) / 1024, SC_(1), SC_(0.999999523162879692486369202949889069215510235208243466564977) } },
+       { { boost::math::constants::half_pi<T>() + static_cast<T>(1) / 1024, SC_(1), SC_(-0.999999523162879692486369202949889069215510235208243466564977) } },
+       { { SC_(2), SC_(1), SC_(-0.90929742682568169539601986591174484270225497144789026837897) } },
+       { { SC_(3), SC_(1), SC_(-0.14112000805986722210074480280811027984693326425226558415188) } },
+       { { SC_(4), SC_(1), SC_(0.756802495307928251372639094511829094135912887336472571485416) } },
+        { { SC_(-0.5), SC_(1), SC_(-0.479425538604203000273287935215571388081803367940600675188616) } },
+       { { SC_(-2), SC_(1), SC_(0.90929742682568169539601986591174484270225497144789026837897) } },
+       { { SC_(-3), SC_(1), SC_(0.14112000805986722210074480280811027984693326425226558415188) } },
+       { { SC_(-4), SC_(1), SC_(-0.756802495307928251372639094511829094135912887336472571485416) } },
+    }};
+
+    do_test_jacobi_zeta<T>(data1, type_name, "Elliptic Integral Jacobi Zeta: Mathworld Data");
+
+#include "jacobi_zeta_data.ipp"
+
+    do_test_jacobi_zeta<T>(jacobi_zeta_data, type_name, "Elliptic Integral Jacobi Zeta: Random Data");
+
+#include "jacobi_zeta_big_phi.ipp"
+
+    do_test_jacobi_zeta<T>(jacobi_zeta_big_phi, type_name, "Elliptic Integral Jacobi Zeta: Large Phi Values");
+}
+
diff --git a/libs/math/test/test_long_double_support.cpp b/libs/math/test/test_long_double_support.cpp
index d48b52fdb..2830142b6 100644
--- a/libs/math/test/test_long_double_support.cpp
+++ b/libs/math/test/test_long_double_support.cpp
@@ -46,8 +46,19 @@ void expected_results()
       ".*", 50, 20);                 // test function
 }
 
-template <class A>
-void do_test_std_function(const A& data, const char* type_name, const char* function_name, const char* test_name, long double (*proc)(long double), const char* inv_function_name = 0, long double (*inv_proc)(long double) = 0)
+template <class R, class Proc, class Arg>
+struct simple_binder
+{
+   simple_binder(Proc p, Arg a) : m_proc(p), m_arg(a) {}
+   R operator()(R arg) { return m_proc(arg, m_arg); }
+   operator bool() { return m_proc ? true : false; }
+private:
+   Proc m_proc;
+   Arg m_arg;
+};
+
+template <class A, class Proc>
+void do_test_std_function(const A& data, const char* type_name, const char* function_name, const char* test_name, Proc proc, const char* inv_function_name = 0, Proc inv_proc = 0)
 {
    // warning suppression:
    (void)data;
@@ -76,6 +87,45 @@ void do_test_std_function(const A& data, const char* type_name, const char* func
    }
 }
 
+template <class A>
+void do_test_std_function_2(const A& data, const char* type_name, const char* function_name, const char* test_name, long double(*proc)(long double, long double), const char* inv_function_name = 0, long double(*inv_proc)(long double, long double) = 0)
+{
+   // warning suppression:
+   (void)data;
+   (void)type_name;
+   (void)test_name;
+   typedef typename A::value_type row_type;
+   typedef typename row_type::value_type value_type;
+
+   boost::math::tools::test_result<value_type> result;
+
+   //
+   // test against data:
+   //
+   result = boost::math::tools::test(
+      data,
+      bind_func<value_type>(proc, 0, 1),
+      extract_result<value_type>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, function_name, test_name);
+   if(inv_proc)
+   {
+      result = boost::math::tools::test(
+         data,
+         bind_func<value_type>(inv_proc, 2, 1),
+         extract_result<value_type>(0));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, inv_function_name, test_name);
+   }
+}
+
+long double std_inv_pow(long double a, long double b)
+{
+   return std::pow(a, 1 / b);
+}
+long double std_inv_powl(long double a, long double b)
+{
+   return ::powl(a, 1 / b);
+}
+
 
 void test_spots()
 {
@@ -83,6 +133,8 @@ void test_spots()
    // Test data taken from functions.wolfram.com
    long double (*unary_proc)(long double);
    long double (*inv_unary_proc)(long double);
+   long double(*binary_proc)(long double, long double);
+   long double(*inv_binary_proc)(long double, long double);
    //
    // COS:
    //
@@ -202,6 +254,94 @@ void test_spots()
    do_test_std_function(sqrt_test_data, "long double", "std::sqrt", "Mathematica data", unary_proc, "", inv_unary_proc);
    unary_proc = ::sqrtl;
    do_test_std_function(sqrt_test_data, "long double", "::sqrtl", "Mathematica data", unary_proc, "", inv_unary_proc);
+   //
+   // POW:
+   //
+   boost::array<boost::array<long double, 3>, 40> pow_test_data = { {
+      {{ 0.66666666666666666666666666666666667L, 10.5L, 0.014159299884333205600738476477156445L }}, {{ 0.40000000000000000000000000000000000L, 10.5L, 0.000066317769195774370528601435944941645L }}, {{ 0.28571428571428571428571428571428571L, 10.5L, 1.9376955162420093656912416026996235e-6L }}, {{ 0.22222222222222222222222222222222222L, 10.5L, 1.3844223610486906136767179806965939e-7L }}, {{ 0.18181818181818181818181818181818182L, 10.5L, 1.6834172004858801495594195366987548e-8L }}, {{ 0.15384615384615384615384615384615385L, 10.5L, 2.9134646649328940997378075111892189e-9L }}, {{ 0.13333333333333333333333333333333333L, 10.5L, 6.4842049648996264411393424327833257e-10L }}, {{ 0.11764705882352941176470588235294118L, 10.5L, 1.7422131202561313794251961087695707e-10L }}, {{ 0.10526315789473684210526315789473684L, 10.5L, 5.4187878014379968862785381990028068e-11L }}, {{ 0.095238095238095238095238095238095238L, 10.5L, 1.8945774321493250860060262734435905e-11L }}, {{ 0.086956521739130434782608695652173913L, 10.5L, 7.2890793204362496660639940633060965e-12L }}, {{ 0.080000000000000000000000000000000000L, 10.5L, 3.0370004999760496924513885300263083e-12L }}, {{ 0.074074074074074074074074074074074074L, 10.5L, 1.3536158492499429228631254734846878e-12L }}, {{ 0.068965517241379310344827586206896552L, 10.5L, 6.3919883760311690617057708564070401e-13L }}, {{ 0.064516129032258064516129032258064516L, 10.5L, 3.1733441149827305559623332316304054e-13L }}, {{ 0.060606060606060606060606060606060606L, 10.5L, 1.6459573809191842515197160159747426e-13L }}, {{ 0.057142857142857142857142857142857143L, 10.5L, 8.8736130949400182344750668262188042e-14L }}, {{ 0.054054054054054054054054054054054054L, 10.5L, 4.9510447505703867036532738058014010e-14L }}, {{ 0.051282051282051282051282051282051282L, 10.5L, 2.8486335222839832002073312496999392e-14L }}, {{ 0.048780487804878048780487804878048780L, 10.5L, 1.6849400716758403447644197639952420e-14L }},
+      {{ 1.5000000000000000000000000000000000L, 10.5L, 70.624960850392521250220423499662198L }}, {{ 2.5000000000000000000000000000000000L, 10.5L, 15078.914929239174518579929086841195L }}, {{ 3.5000000000000000000000000000000000L, 10.5L, 516076.95410237226543172579761452715L }}, {{ 4.5000000000000000000000000000000000L, 10.5L, 7.2232291830544165404082939248515132e6L }}, {{ 5.5000000000000000000000000000000000L, 10.5L, 5.9402981014532387277725120300837238e7L }}, {{ 6.5000000000000000000000000000000000L, 10.5L, 3.4323395510377093368928553895198363e8L }}, {{ 7.5000000000000000000000000000000000L, 10.5L, 1.5422091149388577381859115936567576e9L }}, {{ 8.5000000000000000000000000000000000L, 10.5L, 5.7398259051853831024096483301864439e9L }}, {{ 9.5000000000000000000000000000000000L, 10.5L, 1.8454311861679240697429074147628415e10L }}, {{ 10.500000000000000000000000000000000L, 10.5L, 5.2782218505872232242456985697751839e10L }}, {{ 11.500000000000000000000000000000000L, 10.5L, 1.3719153764678064136017469971586606e11L }}, {{ 12.500000000000000000000000000000000L, 10.5L, 3.2927225399135962333569506281281311e11L }}, {{ 13.500000000000000000000000000000000L, 10.5L, 7.3876203544315301346698877141070794e11L }}, {{ 14.500000000000000000000000000000000L, 10.5L, 1.5644584144580486482323422555543492e12L }}, {{ 15.500000000000000000000000000000000L, 10.5L, 3.1512497975828317415327223169183800e12L }}, {{ 16.500000000000000000000000000000000L, 10.5L, 6.0754914531356236794145301221027031e12L }}, {{ 17.500000000000000000000000000000000L, 10.5L, 1.1269366708925227994916228749680770e13L }}, {{ 18.500000000000000000000000000000000L, 10.5L, 2.0197757248806823614685377151546893e13L }}, {{ 19.500000000000000000000000000000000L, 10.5L, 3.5104550732037231618759085175272827e13L }}, {{ 20.500000000000000000000000000000000L, 10.5L, 5.9349291812224551314681152356459565e13L }},
+   } };
+   binary_proc = std::pow;
+   inv_binary_proc = std_inv_pow;
+   do_test_std_function_2(pow_test_data, "long double", "std::pow", "Mathematica data", binary_proc, "std::pow", inv_binary_proc);
+   binary_proc = ::powl;
+   inv_binary_proc = std_inv_powl;
+   do_test_std_function_2(pow_test_data, "long double", "::powl", "Mathematica data", binary_proc, "::pow", inv_binary_proc);
+   //
+   // LDEXP:
+   //
+   boost::array<boost::array<long double, 2>, 20> ld_data = { {
+      {{ 0.66666666666666666666666666666666667L, 8.4510040015215293433113547025066667e29L }}, {{ 0.40000000000000000000000000000000000L, 5.0706024009129176059868128215040000e29L }}, {{ 0.28571428571428571428571428571428571L, 3.6218588577949411471334377296457143e29L }}, {{ 0.22222222222222222222222222222222222L, 2.8170013338405097811037849008355556e29L }}, {{ 0.18181818181818181818181818181818182L, 2.3048192731422352754485512825018182e29L }}, {{ 0.15384615384615384615384615384615385L, 1.9502316926588144638410818544246154e29L }}, {{ 0.13333333333333333333333333333333333L, 1.6902008003043058686622709405013333e29L }}, {{ 0.11764705882352941176470588235294118L, 1.4913536473273287076431802416188235e29L }}, {{ 0.10526315789473684210526315789473684L, 1.3343690528718204226281086372378947e29L }}, {{ 0.095238095238095238095238095238095238L, 1.2072862859316470490444792432152381e29L }}, {{ 0.086956521739130434782608695652173913L, 1.1023048697636777404319158307617391e29L }}, {{ 0.080000000000000000000000000000000000L, 1.0141204801825835211973625643008000e29L }}, {{ 0.074074074074074074074074074074074074L, 9.3900044461350326036792830027851852e28L }}, {{ 0.068965517241379310344827586206896552L, 8.7424179326084786310117462439724138e28L }}, {{ 0.064516129032258064516129032258064516L, 8.1783909692143832354626013250064516e28L }}, {{ 0.060606060606060606060606060606060606L, 7.6827309104741175848285042750060606e28L }}, {{ 0.057142857142857142857142857142857143L, 7.2437177155898822942668754592914286e28L }}, {{ 0.054054054054054054054054054054054054L, 6.8521654066390778459281254344648649e28L }}, {{ 0.051282051282051282051282051282051282L, 6.5007723088627148794702728480820513e28L }}, {{ 0.048780487804878048780487804878048780L, 6.1836614645279482999839180750048780e28L }}
+   }};
+   using namespace boost;
+   long double(*pld)(long double, int) = std::ldexp;
+   do_test_std_function(ld_data, "long double", "std::ldexp", "Mathematica data", simple_binder<long double, long double(*)(long double, int), int>(pld, 100), "std::ldexp", simple_binder<long double, long double(*)(long double, int), int>(pld, -100));
+   pld = ::ldexpl;
+   do_test_std_function(ld_data, "long double", "::ldexp", "Mathematica data", simple_binder<long double, long double(*)(long double, int), int>(pld, 100), "::ldexp", simple_binder<long double, long double(*)(long double, int), int>(pld, -100));
+   //
+   // Sinh:
+   //
+   boost::array<boost::array<long double, 2>, 20> sinh_data = { {
+      {{ 1.0L, 1.1752011936438014568823818505956008L }}, {{ 2.0L, 3.6268604078470187676682139828012617L }}, {{ 3.0L, 10.017874927409901898974593619465828L }}, {{ 4.0L, 27.289917197127752448908271590793819L }}, {{ 5.0L, 74.203210577788758977009471996064566L }}, {{ 6.0L, 201.71315737027922812498206768797873L }}, {{ 7.0L, 548.31612327324652237375611757601851L }}, {{ 8.0L, 1490.4788257895501861158766390318814L }}, {{ 9.0L, 4051.5419020827899605152235958980346L }}, {{ 10.L, 11013.232874703393377236524554846364L }}, {{ 11.L, 29937.070849248058832540413239811132L }}, {{ 12.L, 81377.395706429854227338497569902237L }}, {{ 13.L, 221206.69600333008695956086081165150L }}, {{ 14.L, 601302.14208197262451506660144189773L }}, {{ 15.L, 1.6345086862359023684906766101516749e6L }}, {{ 16.L, 4.4430552602538800507941522408334683e6L }}, {{ 17.L, 1.2077476376787628407699123664359614e7L }}, {{ 18.L, 3.2829984568665247954403379273215799e7L }}, {{ 19.L, 8.9241150481593627621056798125727582e7L }}, {{ 20.L, 2.4258259770489513795397660405149137e8L }},
+   } };
+   unary_proc = &std::sinh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::asinh;
+#else
+   inv_unary_proc = 0;
+#endif
+   do_test_std_function(sinh_data, "long double", "std::sinh", "Mathematica data", unary_proc, "std::asinh", inv_unary_proc);
+   unary_proc = ::sinhl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::asinhl;
+#endif
+   do_test_std_function(sinh_data, "long double", "::sinhl", "Mathematica data", unary_proc, "::asinhl", inv_unary_proc);
+   //
+   // Cosh:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> cosh_data = { {
+      {{ 1.0L, 1.5430806348152437784779056207570617L }}, {{ 2.0L, 3.7621956910836314595622134777737461L }}, {{ 3.0L, 10.067661995777765841953936035115890L }}, {{ 4.0L, 27.308232836016486629201989612067060L }}, {{ 5.0L, 74.209948524787844444106108044487714L }}, {{ 6.0L, 201.71563612245589448340511285540955L }}, {{ 7.0L, 548.31703515521207688996412071210292L }}, {{ 8.0L, 1490.4791612521780886277154604210072L }}, {{ 9.0L, 4051.5420254925940471947730935347253L }}, {{ 10.L, 11013.232920103323139721376090437880L }}, {{ 11.L, 29937.070865949759622786072552446649L }}, {{ 12.L, 81377.395712574066580666707328584546L }}, {{ 13.L, 221206.69600559041636654191513743678L }}, {{ 14.L, 601302.14208280415323417016932596172L }}, {{ 15.L, 1.6345086862362082708111784359400464e6L }}, {{ 16.L, 4.4430552602539925859688714999479821e6L }}, {{ 17.L, 1.2077476376787669807076311516026210e7L }}, {{ 18.L, 3.2829984568665263184383123985844235e7L }}, {{ 19.L, 8.9241150481593633223853235662995122e7L }}, {{ 20.L, 2.4258259770489514001513022649004919e8L }},
+   } };
+   unary_proc = &std::cosh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::acosh;
+#endif
+   do_test_std_function(cosh_data, "long double", "std::cosh", "Mathematica data", unary_proc, "std::acosh", inv_unary_proc);
+   unary_proc = ::coshl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::acoshl;
+#endif
+   do_test_std_function(cosh_data, "long double", "::cosh", "Mathematica data", unary_proc, "::acosh", inv_unary_proc);
+   //
+   // Tanh:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> tanh_data = { {
+      {{ 2.0000000000000000000000000000000000L, 0.96402758007581688394641372410092315L }}, {{ 1.0000000000000000000000000000000000L, 0.76159415595576488811945828260479359L }}, {{ 0.66666666666666666666666666666666667L, 0.58278294534791012006763998724863620L }}, {{ 0.50000000000000000000000000000000000L, 0.46211715726000975850231848364367255L }}, {{ 0.40000000000000000000000000000000000L, 0.37994896225522488526774812389687331L }}, {{ 0.33333333333333333333333333333333333L, 0.32151273753163434471940622242520647L }}, {{ 0.28571428571428571428571428571428571L, 0.27818549032570244047180008724146611L }}, {{ 0.25000000000000000000000000000000000L, 0.24491866240370912927780113149101696L }}, {{ 0.22222222222222222222222222222222222L, 0.21863508368712133408473136585229335L }}, {{ 0.20000000000000000000000000000000000L, 0.19737532022490400073815731881101567L }}, {{ 0.18181818181818181818181818181818182L, 0.17984081852510791219962261245781186L }}, {{ 0.16666666666666666666666666666666667L, 0.16514041292462935373278922792245912L }}, {{ 0.15384615384615384615384615384615385L, 0.15264375981490485028417961210708858L }}, {{ 0.14285714285714285714285714285714286L, 0.14189319376693254602300070386766884L }}, {{ 0.13333333333333333333333333333333333L, 0.13254878839087838732054090217452509L }}, {{ 0.12500000000000000000000000000000000L, 0.12435300177159620805464727580589271L }}, {{ 0.11764705882352941176470588235294118L, 0.11710726941545656349019174731833940L }}, {{ 0.11111111111111111111111111111111111L, 0.11065611052473799138171921474515056L }}, {{ 0.10526315789473684210526315789473684L, 0.10487608974842188468874887218357955L }}, {{ 0.10000000000000000000000000000000000L, 0.099667994624955817118305083678352184L }}
+   } };
+   unary_proc = &std::tanh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::atanh;
+#endif
+   do_test_std_function(tanh_data, "long double", "std::tanh", "Mathematica data", unary_proc, "std::atanh", inv_unary_proc);
+   unary_proc = ::tanhl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::atanhl;
+#endif
+   do_test_std_function(tanh_data, "long double", "::tanh", "Mathematica data", unary_proc, "::atanh", inv_unary_proc);
+   //
+   // ABS, FABS:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> abs_data = { {
+      {{ -2.0000000000000000000000000000000000L, 2.0000000000000000000000000000000000L }}, {{ -1.0000000000000000000000000000000000L, 1.0000000000000000000000000000000000L }}, {{ -0.66666666666666666666666666666666667L, 0.66666666666666666666666666666666667L }}, {{ -0.50000000000000000000000000000000000L, 0.50000000000000000000000000000000000L }}, {{ -0.40000000000000000000000000000000000L, 0.40000000000000000000000000000000000L }}, {{ -0.33333333333333333333333333333333333L, 0.33333333333333333333333333333333333L }}, {{ -0.28571428571428571428571428571428571L, 0.28571428571428571428571428571428571L }}, {{ -0.25000000000000000000000000000000000L, 0.25000000000000000000000000000000000L }}, {{ -0.22222222222222222222222222222222222L, 0.22222222222222222222222222222222222L }}, {{ -0.20000000000000000000000000000000000L, 0.20000000000000000000000000000000000L }}, {{ -0.18181818181818181818181818181818182L, 0.18181818181818181818181818181818182L }}, {{ -0.16666666666666666666666666666666667L, 0.16666666666666666666666666666666667L }}, {{ -0.15384615384615384615384615384615385L, 0.15384615384615384615384615384615385L }}, {{ -0.14285714285714285714285714285714286L, 0.14285714285714285714285714285714286L }}, {{ -0.13333333333333333333333333333333333L, 0.13333333333333333333333333333333333L }}, {{ -0.12500000000000000000000000000000000L, 0.12500000000000000000000000000000000L }}, {{ -0.11764705882352941176470588235294118L, 0.11764705882352941176470588235294118L }}, {{ -0.11111111111111111111111111111111111L, 0.11111111111111111111111111111111111L }}, {{ -0.10526315789473684210526315789473684L, 0.10526315789473684210526315789473684L }}, {{ -0.10000000000000000000000000000000000L, 0.10000000000000000000000000000000000L }}
+   } };
+   unary_proc = &std::abs;
+   inv_unary_proc = 0;
+   do_test_std_function(abs_data, "long double", "std::abs", "Mathematica data", unary_proc, "std::abs", inv_unary_proc);
+   unary_proc = &std::fabs;
+   inv_unary_proc = 0;
+   do_test_std_function(abs_data, "long double", "std::fabs", "Mathematica data", unary_proc, "std::abs", inv_unary_proc);
+   unary_proc = ::fabsl;
+   do_test_std_function(abs_data, "long double", "::fabs", "Mathematica data", unary_proc, "::abs", inv_unary_proc);
 }
 
 
diff --git a/libs/math/test/test_nc_t.cpp b/libs/math/test/test_nc_t.cpp
index 371aaec78..15088d190 100644
--- a/libs/math/test/test_nc_t.cpp
+++ b/libs/math/test/test_nc_t.cpp
@@ -838,9 +838,12 @@ BOOST_AUTO_TEST_CASE( test_main )
   
 #ifdef TEST_FLOAT
    test_accuracy(0.0F, "float"); // Test float.
+   test_big_df(0.F); // float
 #endif
 #ifdef TEST_DOUBLE
    test_accuracy(0.0, "double"); // Test double.
+   test_big_df(0.); // double
+   test_ignore_policy(0.0);
 #endif
 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
 #ifdef TEST_LDOUBLE
@@ -853,9 +856,6 @@ BOOST_AUTO_TEST_CASE( test_main )
 #endif
 #endif
   /* */
-   test_ignore_policy(0.0);
-   test_big_df(0.F); // float
-   test_big_df(0.); // double
 
    
 } // BOOST_AUTO_TEST_CASE( test_main )
diff --git a/libs/math/test/test_polygamma.cpp b/libs/math/test/test_polygamma.cpp
new file mode 100644
index 000000000..a3c565ff6
--- /dev/null
+++ b/libs/math/test/test_polygamma.cpp
@@ -0,0 +1,96 @@
+//  (C) Copyright John Maddock 2014.
+//  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 <pch_light.hpp>
+#include "test_polygamma.hpp"
+//#include <boost/cstdfloat.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large arguments",           // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*negative.*",                // test data group
+      ".*", 800, 400);               // test function
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<long double>::digits > std::numeric_limits<double>::digits)
+      && (std::numeric_limits<long double>::digits - std::numeric_limits<double>::digits < 20))
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*bug cases.*",               // test data group
+         ".*", 100, 30);                // test function
+   }
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*bug cases.*",               // test data group
+      ".*", 100000, 50000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 10);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_polygamma(0.0F, "float");
+   test_polygamma(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_polygamma(0.0L, "long double");
+   test_polygamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#ifdef BOOST_FLOAT128_C
+   //test_polygamma(BOOST_FLOAT128_C(0.0), "float128_t");
+#endif
+}
+
+
+
diff --git a/libs/math/test/test_polygamma.hpp b/libs/math/test/test_polygamma.hpp
new file mode 100644
index 000000000..d33c80794
--- /dev/null
+++ b/libs/math/test/test_polygamma.hpp
@@ -0,0 +1,209 @@
+// Copyright John Maddock 20
+// Copyright Paul A. Bristow 2007, 2009
+//  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_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#ifndef BOOST_FLOAT128_C
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#else
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
+#endif
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4756) // overflow in constant arithmetic
+#endif
+
+template <class Real, class T>
+void do_test_polygamma(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(int, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::polygamma<value_type>;
+#else
+   pg funcp = boost::math::polygamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test polygamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int1<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::polygamma", test_name);
+   std::cout << std::endl;
+}
+
+template <class T>
+void test_polygamma(T, const char* name)
+{
+   typedef typename table_type<T>::type value_type;
+
+   boost::array<boost::array<value_type, 3>, 484> data =
+      { { 
+      {{ 1, SC_(0.1250000), SC_(65.388133444988034473142999334395961) }}, {{ 1, SC_(2.250000), SC_(0.55732915450711073927131911933522402) }}, {{ 1, SC_(4.375000), SC_(0.25666408805722660683906428275458774) }}, {{ 1, SC_(6.500000), SC_(0.16628453574995823763989666631218566) }}, {{ 1, SC_(8.625000), SC_(0.12292237374423990274075995315923687) }}, {{ 1, SC_(10.75000), SC_(0.097483848201852104395946001854344927) }}, {{ 1, SC_(12.87500), SC_(0.080764208092843621858393487209278638) }}, {{ 1, SC_(15.00000), SC_(0.068938227847683806226155216756371670) }}, {{ 1, SC_(17.12500), SC_(0.060132263162293455894576107399989891) }}, {{ 1, SC_(19.25000), SC_(0.053320703915617277211139745531295189) }}, {{ 1, SC_(21.37500), SC_(0.047895038036916716105500109226810942) }}, {{ 1, SC_(23.50000), SC_(0.043471416266946770249685779030294199) }}, {{ 1, SC_(25.62500), SC_(0.039795743807625238080963836217545550) }}, {{ 1, SC_(27.75000), SC_(0.036693131333593477569076090983653779) }}, {{ 1, SC_(29.87500), SC_(0.034039266877179098641898178094001935) }}, {{ 1, SC_(32.00000), SC_(0.031743366520302090126581680438741427) }}, {{ 1, SC_(34.12500), SC_(0.029737585673522726661363528635488348) }}, {{ 1, SC_(36.25000), SC_(0.027970204614894933106878169214392067) }}, {{ 1, SC_(38.37500), SC_(0.026401106865951764123858232364900665) }}, {{ 1, SC_(40.50000), SC_(0.024998698201356741322280011143883922) }}, {{ 1, SC_(42.62500), SC_(0.023737757818075642720991864115881164) }}, {{ 1, SC_(44.75000), SC_(0.022597908441287364284087900916682571) }}, {{ 1, SC_(46.87500), SC_(0.021562506914486557632388530071308920) }}, {{ 1, SC_(49.00000), SC_(0.020617826354560516060031453062401102) }}, {{ 1, SC_(51.12500), SC_(0.019752444228552790805040230288386135) }}, {{ 1, SC_(53.25000), SC_(0.018956778300513446216011889734099110) }}, {{ 1, SC_(55.37500), SC_(0.018222730375562878627773770314126276) }}, {{ 1, SC_(57.50000), SC_(0.017543409716574620734228673575882677) }}, {{ 1, SC_(59.62500), SC_(0.016912916093398919581541485278641593) }}, {{ 1, SC_(61.75000), SC_(0.016326167985389235938281994221076159) }}, {{ 1, SC_(63.87500), SC_(0.015778765341125640054231784371915358) }}, {{ 1, SC_(66.00000), SC_(0.015266879048806385777045778219279459) }}, {{ 1, SC_(68.12500), SC_(0.014787161242916062152535888615850260) }}, {{ 1, SC_(70.25000), SC_(0.014336672004276912093324664070489886) }}, {{ 1, SC_(72.37500), SC_(0.013912819061256593888508241399678441) }}, {{ 1, SC_(74.50000), SC_(0.013513307879079644573772830117155790) }}, {{ 1, SC_(76.62500), SC_(0.013136100107643257539226305043251166) }}, {{ 1, SC_(78.75000), SC_(0.012779378799112389298746113446648982) }}, {{ 1, SC_(80.87500), SC_(0.012441519142554280549428650598112729) }}, {{ 1, SC_(83.00000), SC_(0.012121063720980953787190412456820037) }}, {{ 1, SC_(85.12500), SC_(0.011816701495952671887865236708275449) }}, {{ 1, SC_(87.25000), SC_(0.011527249880640584213306489206202069) }}, {{ 1, SC_(89.37500), SC_(0.011251639384481213426240562514542477) }}, {{ 1, SC_(91.50000), SC_(0.010988900409103388104670465071922664) }}, {{ 1, SC_(93.62500), SC_(0.010738151851930343087942933225290955) }}, {{ 1, SC_(95.75000), SC_(0.010498591235178571927709342934117247) }}, {{ 1, SC_(97.87500), SC_(0.010269486127251686167359605922136260) }}, {{ 1, SC_(100.0000), SC_(0.010050166663333571395245668465701423) }},
+      {{ 2, SC_(0.1250000), -SC_(1025.7533381181356825956689300565174) }}, {{ 2, SC_(2.250000), -SC_(0.30373993753692033333796717884398989) }}, {{ 2, SC_(4.375000), -SC_(0.065528725397877855792664680804766330) }}, {{ 2, SC_(6.500000), -SC_(0.027587910706876798794117450572831562) }}, {{ 2, SC_(8.625000), -SC_(0.015091062676061564388822078971884395) }}, {{ 2, SC_(10.75000), -SC_(0.0094956196449265900776488965631791775) }}, {{ 2, SC_(12.87500), -SC_(0.0065193261909178260169885198194705291) }}, {{ 2, SC_(15.00000), -SC_(0.0047506027165515547467791223768191188) }}, {{ 2, SC_(17.12500), -SC_(0.0036148020016626802195565448384834283) }}, {{ 2, SC_(19.25000), -SC_(0.0028424250740909855631736845850335535) }}, {{ 2, SC_(21.37500), -SC_(0.0022934967923297751145806065882712900) }}, {{ 2, SC_(23.50000), -SC_(0.0018894667868625909895476094900477678) }}, {{ 2, SC_(25.62500), -SC_(0.0015834924252652953218803111387922996) }}, {{ 2, SC_(27.75000), -SC_(0.0013462349527320363170378913859580860) }}, {{ 2, SC_(29.87500), -SC_(0.0011585598948326545653381467670779893) }}, {{ 2, SC_(32.00000), -SC_(0.0010075567602140907392185110593117265) }}, {{ 2, SC_(34.12500), -SC_(0.00088425886906787461365402045268994574) }}, {{ 2, SC_(36.25000), -SC_(0.00078228136778540401396894643668418462) }}, {{ 2, SC_(38.37500), -SC_(0.00069697797537723210697105880606724159) }}, {{ 2, SC_(40.50000), -SC_(0.00062490237932923289658683588812998732) }}, {{ 2, SC_(42.62500), -SC_(0.00056345469641484389456121935536309197) }}, {{ 2, SC_(44.75000), -SC_(0.00051064374134295093656385520125286421) }}, {{ 2, SC_(46.87500), -SC_(0.00046492369550612086723038302919171885) }}, {{ 2, SC_(49.00000), -SC_(0.00042507970884222510504308867471824948) }}, {{ 2, SC_(51.12500), -SC_(0.00039014637079445100439645401142194535) }}, {{ 2, SC_(53.25000), -SC_(0.00035934868438211062777790080207505881) }}, {{ 2, SC_(55.37500), -SC_(0.00033205871518117505559928737076624192) }}, {{ 2, SC_(57.50000), -SC_(0.00030776333242771756953580263456220628) }}, {{ 2, SC_(59.62500), -SC_(0.00028603991345613245802207114123372414) }}, {{ 2, SC_(61.75000), -SC_(0.00026653784162151616772904552992231739) }}, {{ 2, SC_(63.87500), -SC_(0.00024896427102287300629668349085350311) }}, {{ 2, SC_(66.00000), -SC_(0.00023307306946180321476975587412226332) }}, {{ 2, SC_(68.12500), -SC_(0.00021865615382096049855997233359992101) }}, {{ 2, SC_(70.25000), -SC_(0.00020553664405312492990454318541834320) }}, {{ 2, SC_(72.37500), -SC_(0.00019356341228034103704385457246984425) }}, {{ 2, SC_(74.50000), -SC_(0.00018260671130395075946075978013398780) }}, {{ 2, SC_(76.62500), -SC_(0.00017255464497899193114313963889049197) }}, {{ 2, SC_(78.75000), -SC_(0.00016331030013937037094502788633900241) }}, {{ 2, SC_(80.87500), -SC_(0.00015478940207215993505449988937898640) }}, {{ 2, SC_(83.00000), -SC_(0.00014691838710034332570083901051760808) }}, {{ 2, SC_(85.12500), -SC_(0.00013963280957351165370765015817038278) }}, {{ 2, SC_(87.25000), -SC_(0.00013287601856558888563037791437997733) }}, {{ 2, SC_(89.37500), -SC_(0.00012659805332837531702241737466058293) }}, {{ 2, SC_(91.50000), -SC_(0.00012075471712784846612240303590084686) }}, {{ 2, SC_(93.62500), -SC_(0.00011530679728326736002584104318350829) }}, {{ 2, SC_(95.75000), -SC_(0.00011021940561565095981861374083495299) }}, {{ 2, SC_(97.87500), -SC_(0.00010546141852085692313553484671110170) }}, {{ 2, SC_(100.0000), -SC_(0.00010100499983334999700083300446059382) }},
+      {{ 3, SC_(0.1250000), SC_(24580.143419063566218511004446647010) }},
+      {{ 3, SC_(2.250000), SC_(0.32454400918839602279124382903505677) }},
+      {{ 3, SC_(4.375000), SC_(0.033289201205556512286673394063908247) }},
+      {{ 3, SC_(6.500000), SC_(0.0091336635043781405048050655353658508) }},
+      {{ 3, SC_(8.625000), SC_(0.0037008460120616755687668778806054328) }},
+      {{ 3, SC_(10.75000), SC_(0.0018484328773891268475922730275004208) }},
+      {{ 3, SC_(12.87500), SC_(0.0010519186241203463873018930415985105) }},
+      {{ 3, SC_(15.00000), SC_(0.00065447977828273734841733708901750530) }},
+      {{ 3, SC_(17.12500), SC_(0.00043447135395979214393136263736764201) }},
+      {{ 3, SC_(19.25000), SC_(0.00030297696415718385912539504824566570) }},
+      {{ 3, SC_(21.37500), SC_(0.00021961042047214603636739002880115737) }},
+      {{ 3, SC_(23.50000), SC_(0.00016422394665239820056068884910278128) }},
+      {{ 3, SC_(25.62500), SC_(0.00012599930135391694524067581601102767) }},
+      {{ 3, SC_(27.75000), SC_(0.000098773010741268191080883613389009048) }},
+      {{ 3, SC_(29.87500), SC_(0.000078857844307768334137453508928722671) }},
+      {{ 3, SC_(32.00000), SC_(0.000063955754777976299576673673574642423) }},
+      {{ 3, SC_(34.12500), SC_(0.000052583702941352521813139097855885393) }},
+      {{ 3, SC_(36.25000), SC_(0.000043755438122384003302367816109980192) }},
+      {{ 3, SC_(38.37500), SC_(0.000036797707573246758497786056137200200) }},
+      {{ 3, SC_(40.50000), SC_(0.000031240239710655936422248716017582946) }},
+      {{ 3, SC_(42.62500), SC_(0.000026747791378195202271687207455056302) }},
+      {{ 3, SC_(44.75000), SC_(0.000023076997706632396178157160717335565) }},
+      {{ 3, SC_(46.87500), SC_(0.000020048287815935784161580614536631137) }},
+      {{ 3, SC_(49.00000), SC_(0.000017527197874026635143654793647828466) }},
+      {{ 3, SC_(51.12500), SC_(0.000015411686998050652806770684541876757) }},
+      {{ 3, SC_(53.25000), SC_(0.000013623370966529973793708331754693666) }},
+      {{ 3, SC_(55.37500), SC_(0.000012101363299593660023105041673385376) }},
+      {{ 3, SC_(57.50000), SC_(0.000010797882726896889062768134787291884) }},
+      {{ 3, SC_(59.62500), SC_(9.6750769605707758334815857396558355e-6) }},
+      {{ 3, SC_(61.75000), SC_(8.7026966259856900409582330070865268e-6) }},
+      {{ 3, SC_(63.87500), SC_(7.8563716857343030149244371160376495e-6) }},
+      {{ 3, SC_(66.00000), SC_(7.1163203299934132027680033779014197e-6) }},
+      {{ 3, SC_(68.12500), SC_(6.4663719906627627544882175944382226e-6) }},
+      {{ 3, SC_(70.25000), SC_(5.8932210515208497328937862935232496e-6) }},
+      {{ 3, SC_(72.37500), SC_(5.3858517367657111634358444590928906e-6) }},
+      {{ 3, SC_(74.50000), SC_(4.9350912436686398240670814427342376e-6) }},
+      {{ 3, SC_(76.62500), SC_(4.5332598242018110991734569100539592e-6) }},
+      {{ 3, SC_(78.75000), SC_(4.1738947808706992483423293125251133e-6) }},
+      {{ 3, SC_(80.87500), SC_(3.8515312659502461861484363442184908e-6) }},
+      {{ 3, SC_(83.00000), SC_(3.5615270636518630626786644585266764e-6) }},
+      {{ 3, SC_(85.12500), SC_(3.2999216708248315372665461067377996e-6) }},
+      {{ 3, SC_(87.25000), SC_(3.0633223042636924720337703682152499e-6) }},
+      {{ 3, SC_(89.37500), SC_(2.8488111819903247190925375784544775e-6) }},
+      {{ 3, SC_(91.50000), SC_(2.6538697141941088454844912572034392e-6) }},
+      {{ 3, SC_(93.62500), SC_(2.4763162120667457234467192228222670e-6) }},
+      {{ 3, SC_(95.75000), SC_(2.3142544621402797124759791203351867e-6) }},
+      {{ 3, SC_(97.87500), SC_(2.1660310796121506708372890790676070e-6) }},
+      {{ 3, SC_(100.0000), SC_(2.0301999900013330334332872946449855e-6) }},
+
+      {{4, SC_(0.1250000), SC_(-786445.98543106378579320120709638297)}}, {{ 4, SC_(2.250000), SC_(-0.51106863793373355822715252195899576) }}, {{ 4, SC_(4.375000), SC_(-0.025241882074562753654505456518792508) }}, {{ 4, SC_(6.500000), SC_(-0.0045259302803220607103496010172883494) }}, {{ 4, SC_(8.625000), SC_(-0.0013596929106556359886012273921730071) }}, {{ 4, SC_(10.75000), SC_(-0.00053930828860547053427689740051604949) }}, {{ 4, SC_(12.87500), SC_(-0.00025445997266103206171225355293726865) }}, {{ 4, SC_(15.00000), SC_(-0.00013519619187519276575068431301221388) }}, {{ 4, SC_(17.12500), SC_(-0.000078306716822025065793290599586946118) }}, {{ 4, SC_(19.25000), SC_(-0.000048430513924395561509999792045098081) }}, {{ 4, SC_(21.37500), SC_(-0.000031536705873201397805285969259914559) }}, {{ 4, SC_(23.50000), SC_(-0.000021407049050977062373311093992814121) }}, {{ 4, SC_(25.62500), SC_(-0.000015036764178343754461565939319516893) }}, {{ 4, SC_(27.75000), SC_(-0.000010869219781124567432001391245344089) }}, {{ 4, SC_(29.87500), SC_(-8.0504604926168752698902834477348881e-6) }}, {{ 4, SC_(32.00000), SC_(-6.0889806370027137702207132674152980e-6) }}, {{ 4, SC_(34.12500), SC_(-4.6901011823268163094417546531023856e-6) }}, {{ 4, SC_(36.25000), SC_(-3.6708283086618325558290000911536581e-6) }}, {{ 4, SC_(38.37500), SC_(-2.9139932244650290336213711603586301e-6) }}, {{ 4, SC_(40.50000), SC_(-2.3425302303691304543510535971847968e-6) }}, {{ 4, SC_(42.62500), SC_(-1.9045296486050512642801504306671373e-6) }}, {{ 4, SC_(44.75000), SC_(-1.5642760453399369047824852836708697e-6) }}, {{ 4, SC_(46.87500), SC_(-1.2967233822729326645555539185332769e-6) }}, {{ 4, SC_(49.00000), SC_(-1.0840030171141394983603065427611252e-6) }}, {{ 4, SC_(51.12500), SC_(-9.1316643010960703020517255319750485e-7) }}, {{ 4, SC_(53.25000), SC_(-7.7469609700462921021995856208285815e-7) }}, {{ 4, SC_(55.37500), SC_(-6.6150474476547305805911346012045165e-7) }}, {{ 4, SC_(57.50000), SC_(-5.6825133351570053043820949353677183e-7) }}, {{ 4, SC_(59.62500), SC_(-4.9086620236193161135912086142572580e-7) }}, {{ 4, SC_(61.75000), SC_(-4.2621666772058776224801114961267801e-7) }}, {{ 4, SC_(63.87500), SC_(-3.7186839586672891333608898041067112e-7) }}, {{ 4, SC_(66.00000), SC_(-3.2591301914111222705427951896642626e-7) }}, {{ 4, SC_(68.12500), SC_(-2.8684217920848561693233665614958777e-7) }}, {{ 4, SC_(70.25000), SC_(-2.5345451083204479337777798526354757e-7) }}, {{ 4, SC_(72.37500), SC_(-2.2478626654835416271537021644553013e-7) }}, {{ 4, SC_(74.50000), SC_(-2.0005909073946645851596541397664333e-7) }}, {{ 4, SC_(76.62500), SC_(-1.7864035957298817513241281766878220e-7) }}, {{ 4, SC_(78.75000), SC_(-1.6001281551287093216803849072235519e-7) }}, {{ 4, SC_(80.87500), SC_(-1.4375113796429048125939526070340983e-7) }}, {{ 4, SC_(83.00000), SC_(-1.2950373350296884735201964028079076e-7) }}, {{ 4, SC_(85.12500), SC_(-1.1697848507486443027254417751822546e-7) }}, {{ 4, SC_(87.25000), SC_(-1.0593152651055065213702117539700727e-7) }}, {{ 4, SC_(89.37500), SC_(-9.6158345290200883062520858433963680e-8) }}, {{ 4, SC_(91.50000), SC_(-8.7486689164653963817234101603388082e-8) }}, {{ 4, SC_(93.62500), SC_(-7.9770879280803145900384972987304463e-8) }}, {{ 4, SC_(95.75000), SC_(-7.2887226653828502529665531368895369e-8) }}, {{ 4, SC_(97.87500), SC_(-6.6730319180606630829991063550458595e-8) }}, {{ 4, SC_(100.0000), SC_(-6.1209999300119967012993094755881001e-8) }},
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+      {{ SC_(30.0), SC_(0.1250000), SC_(-2.6269370855717061268373196091559060e60) }}, {{ SC_(30.0), SC_(2.250000), SC_(-3.2063201132225624894497621128724710e21) }}, {{ SC_(30.0), SC_(4.375000), SC_(-3.5816122065666942298125086110013811e12) }}, {{ SC_(30.0), SC_(6.500000), SC_(-1.6926495147567915305098150929608351e7) }}, {{ SC_(30.0), SC_(8.625000), SC_(-2691.9893080722988179729741180559768) }}, {{ SC_(30.0), SC_(10.75000), SC_(-3.0129827880548721952335149662772758) }}, {{ SC_(30.0), SC_(12.87500), SC_(-0.011679541591944513522798667560485778) }}, {{ SC_(30.0), SC_(15.00000), SC_(-0.00010699799160744992062995477402482814) }}, {{ SC_(30.0), SC_(17.12500), SC_(-1.8412916811312822615145612742242341e-6) }}, {{ SC_(30.0), SC_(19.25000), SC_(-5.1296809753659048984675389168991678e-8) }}, {{ SC_(30.0), SC_(21.37500), SC_(-2.0897092756900426602247473552496515e-9) }}, {{ SC_(30.0), SC_(23.50000), SC_(-1.1575741931670926101304469613657363e-10) }}, {{ SC_(30.0), SC_(25.62500), SC_(-8.2634766034599236789755939810493909e-12) }}, {{ SC_(30.0), SC_(27.75000), SC_(-7.2982420192371959627923444899651880e-13) }}, {{ SC_(30.0), SC_(29.87500), SC_(-7.7259330615365968247618603604357394e-14) }}, {{ SC_(30.0), SC_(32.00000), SC_(-9.5598830564651701596127591449043084e-15) }}, {{ SC_(30.0), SC_(34.12500), SC_(-1.3549801683291963236022185422404195e-15) }}, {{ SC_(30.0), SC_(36.25000), SC_(-2.1637420158752325246771018243486794e-16) }}, {{ SC_(30.0), SC_(38.37500), SC_(-3.8399012944498044530335003629202925e-17) }}, {{ SC_(30.0), SC_(40.50000), SC_(-7.4867790463777103523228388855693400e-18) }}, {{ SC_(30.0), SC_(42.62500), SC_(-1.5882468053156791511681017429675896e-18) }}, {{ SC_(30.0), SC_(44.75000), SC_(-3.6357619494056634364065401737558109e-19) }}, {{ SC_(30.0), SC_(46.87500), SC_(-8.9173782150303341835362824820507660e-20) }}, {{ SC_(30.0), SC_(49.00000), SC_(-2.3289849068324860513642836089935388e-20) }}, {{ SC_(30.0), SC_(51.12500), SC_(-6.4424396179339080523684393804219419e-21) }}, {{ SC_(30.0), SC_(53.25000), SC_(-1.8786312072016996388558435362347671e-21) }}, {{ SC_(30.0), SC_(55.37500), SC_(-5.7508919690939180263189604207862429e-22) }}, {{ SC_(30.0), SC_(57.50000), SC_(-1.8413295011736722141223685570224223e-22) }}, {{ SC_(30.0), SC_(59.62500), SC_(-6.1461867250080302453576793713083061e-23) }}, {{ SC_(30.0), SC_(61.75000), SC_(-2.1324740914631425269500808021967305e-23) }}, {{ SC_(30.0), SC_(63.87500), SC_(-7.6704605421877601246419439338550908e-24) }}, {{ SC_(30.0), SC_(66.00000), SC_(-2.8535639781622817027659809125071790e-24) }}, {{ SC_(30.0), SC_(68.12500), SC_(-1.0955940788660649214956488504913491e-24) }}, {{ SC_(30.0), SC_(70.25000), SC_(-4.3327278415671627426087404900842932e-25) }}, {{ SC_(30.0), SC_(72.37500), SC_(-1.7617839186667213519985857533371320e-25) }}, {{ SC_(30.0), SC_(74.50000), SC_(-7.3539453800410337613851853725254145e-26) }}, {{ SC_(30.0), SC_(76.62500), SC_(-3.1464535209737263958150922875079198e-26) }}, {{ SC_(30.0), SC_(78.75000), SC_(-1.3780503803711969857070836997294630e-26) }}, {{ SC_(30.0), SC_(80.87500), SC_(-6.1703357256500029511495096803651889e-27) }}, {{ SC_(30.0), SC_(83.00000), SC_(-2.8213173028841107933813502855693772e-27) }}, {{ SC_(30.0), SC_(85.12500), SC_(-1.3159280846978733546278731706334709e-27) }}, {{ SC_(30.0), SC_(87.25000), SC_(-6.2549157954995389707945629132366569e-28) }}, {{ SC_(30.0), SC_(89.37500), SC_(-3.0270730786291364371674711274018267e-28) }}, {{ SC_(30.0), SC_(91.50000), SC_(-1.4902791126813033033236323354658204e-28) }}, {{ SC_(30.0), SC_(93.62500), SC_(-7.4578261147126651898615763642561310e-29) }}, {{ SC_(30.0), SC_(95.75000), SC_(-3.7908508349033587121694154134344755e-29) }}, {{ SC_(30.0), SC_(97.87500), SC_(-1.9558790071355202604313002586790408e-29) }}, {{ SC_(30.0), SC_(100.0000), SC_(-1.0236429687189538253202730650097974e-29) }},
+      {{ SC_(1.0), SC_(1.0), SC_(1.6449340668482264364724151666460252) }}, {{ SC_(2.0), SC_(1.0), SC_(-2.4041138063191885707994763230229000) }}, {{ SC_(3.0), SC_(1.0), SC_(6.4939394022668291490960221792470074) }}, {{ SC_(4.0), SC_(1.0), SC_(-24.886266123440878231952771674968820) }}, {{ SC_(5.0), SC_(1.0), SC_(122.08116743813389676574215157491046) }}, {{ SC_(6.0), SC_(1.0), SC_(-726.01147971498443532465423589185367) }}, {{ SC_(7.0), SC_(1.0), SC_(5060.5498752376394704685736020836084) }}, {{ SC_(8.0), SC_(1.0), SC_(-40400.978398747634885327823655450854) }}, {{ SC_(9.0), SC_(1.0), SC_(363240.91142238262680714352556574776) }}, {{ SC_(10.0), SC_(1.0), SC_(-3.6305933116066287129906188428320541e6) }}, {{ SC_(11.0), SC_(1.0), SC_(3.9926622987731086702327073240472015e7) }}, {{ SC_(12.0), SC_(1.0), SC_(-4.7906037988983145242687676449906363e8) }}, {{ SC_(13.0), SC_(1.0), SC_(6.2274021934109717641928534089474159e9) }}, {{ SC_(14.0), SC_(1.0), SC_(-8.7180957830172067845191220310364358e10) }}, {{ SC_(15.0), SC_(1.0), SC_(1.3076943522189138208900999074851102e12) }}, {{ SC_(16.0), SC_(1.0), SC_(-2.0922949679481510906631655688111514e13) }}, {{ SC_(17.0), SC_(1.0), SC_(3.5568878585922371597561239671618245e14) }}, {{ SC_(18.0), SC_(1.0), SC_(-6.4023859228189214007356494533239755e15) }}, {{ SC_(19.0), SC_(1.0), SC_(1.2164521645363939666987669627404138e17) }}, {{ SC_(20.0), SC_(1.0), SC_(-2.4329031685078613217372568182431975e18) }}, {{ SC_(21.0), SC_(1.0), SC_(5.1090954354370285677650274860473481e19) }}, {{ SC_(22.0), SC_(1.0), SC_(-1.1240008617808912306021529490019443e21) }}, {{ SC_(23.0), SC_(1.0), SC_(2.5852018279876877767780261785042411e22) }}, {{ SC_(24.0), SC_(1.0), SC_(-6.2044842022477556107699152049463576e23) }}, {{ SC_(25.0), SC_(1.0), SC_(1.5511210274472132898983174657140502e25) }}, {{ SC_(26.0), SC_(1.0), SC_(-4.0329146413141407973995741108882374e26) }}, {{ SC_(27.0), SC_(1.0), SC_(1.0888869490983028015891074275710607e28) }}, {{ SC_(28.0), SC_(1.0), SC_(-3.0488834517961710017831014422416477e29) }}, {{ SC_(29.0), SC_(1.0), SC_(8.8417620019742774502390188870678590e30) }}, {{ SC_(30.0), SC_(1.0), SC_(-2.6525285993570947629478654469554513e32) }}, {{ SC_(31.0), SC_(1.0), SC_(8.2228386560924560722190676893264356e33) }}, {{ SC_(32.0), SC_(1.0), SC_(-2.6313083696432603856870073439642460e35) }}, {{ SC_(33.0), SC_(1.0), SC_(8.6833176193173226237779341368101141e36) }}, {{ SC_(34.0), SC_(1.0), SC_(-2.9523279904819655207731742551529264e38) }}, {{ SC_(35.0), SC_(1.0), SC_(1.0333147966536512091762081841406431e40) }}, {{ SC_(36.0), SC_(1.0), SC_(-3.7199332679260782597263218144656884e41) }}, {{ SC_(37.0), SC_(1.0), SC_(1.3763753091276417298557030711497089e43) }}, {{ SC_(38.0), SC_(1.0), SC_(-5.2302261746755248448805548317868492e44) }}, {{ SC_(39.0), SC_(1.0), SC_(2.0397882081215995125998316157358476e46) }}, {{ SC_(40.0), SC_(1.0), SC_(-8.1591528324826876968158659241126765e47) }}, {{ SC_(41.0), SC_(1.0), SC_(3.3452526613171413332404690085486207e49) }}, {{ SC_(42.0), SC_(1.0), SC_(-1.4050061177530396292499296757724836e51) }}, {{ SC_(43.0), SC_(1.0), SC_(6.0415263063377269847520379087368697e52) }}, {{ SC_(44.0), SC_(1.0), SC_(-2.6582715747885243206668113464973395e54) }}, {{ SC_(45.0), SC_(1.0), SC_(1.1962222086548189449597808756809115e56) }}, {{ SC_(46.0), SC_(1.0), SC_(-5.5026221598121280483325452519279417e57) }}, {{ SC_(47.0), SC_(1.0), SC_(2.5862324151116909945729536986576770e59) }}, {{ SC_(48.0), SC_(1.0), SC_(-1.2413915592536094722406207462376651e61) }}, {{ SC_(49.0), SC_(1.0), SC_(6.0828186403426810113507774083359074e62) }}, {{ SC_(50.0), SC_(1.0), SC_(-3.0414093201713391550183240542952737e64) }},
+      {{ SC_(1.0), SC_(0.5), SC_(4.9348022005446793094172454999380756) }}, {{ SC_(2.0), SC_(0.5), SC_(-16.828796644234319995596334261160300) }}, {{ SC_(3.0), SC_(0.5), SC_(97.409091034002437236440332688705111) }}, {{ SC_(4.0), SC_(0.5), SC_(-771.47424982666722519053592192403342) }}, {{ SC_(5.0), SC_(0.5), SC_(7691.1135486024354962417555492193592) }}, {{ SC_(6.0), SC_(0.5), SC_(-92203.457923803023286231087958265416) }}, {{ SC_(7.0), SC_(0.5), SC_(1.2904402181855980649694862685313201e6) }}, {{ SC_(8.0), SC_(0.5), SC_(-2.0644899961760041426402517887935387e7) }}, {{ SC_(9.0), SC_(0.5), SC_(3.7159545238509742722370782665375996e8) }}, {{ SC_(10.0), SC_(0.5), SC_(-7.4318245088587689754917967712772148e9) }}, {{ SC_(11.0), SC_(0.5), SC_(1.6349952113475880004602936491973290e11) }}, {{ SC_(12.0), SC_(0.5), SC_(-3.9239835716776094268285475780118302e12) }}, {{ SC_(13.0), SC_(0.5), SC_(1.0202353013465195041277151739878551e14) }}, {{ SC_(14.0), SC_(0.5), SC_(-2.8566584452212481470833807159097089e15) }}, {{ SC_(15.0), SC_(0.5), SC_(8.5699749372666517252032697437036695e16) }}, {{ SC_(16.0), SC_(0.5), SC_(-2.7423919374393211160431177426964643e18) }}, {{ SC_(17.0), SC_(0.5), SC_(9.3241325391494482576994960512370215e19) }}, {{ SC_(18.0), SC_(0.5), SC_(-3.3566877083169638444274914449348672e21) }}, {{ SC_(19.0), SC_(0.5), SC_(1.2755413284287493036311595679555294e23) }}, {{ SC_(20.0), SC_(0.5), SC_(-5.1021653127394298787426098736355399e24) }}, {{ SC_(21.0), SC_(0.5), SC_(2.1429094312139835232862558079810850e26) }}, {{ SC_(22.0), SC_(0.5), SC_(-9.4288014971412166432678344430683531e27) }}, {{ SC_(23.0), SC_(0.5), SC_(4.3372486886542455183876952472394031e29) }}, {{ SC_(24.0), SC_(0.5), SC_(-2.0818793705491236054644197662022342e31) }}, {{ SC_(25.0), SC_(0.5), SC_(1.0409396852737427640356547073711139e33) }}, {{ SC_(26.0), SC_(0.5), SC_(-5.4128863634220427078493834793146517e34) }}, {{ SC_(27.0), SC_(0.5), SC_(2.9229586362476475227234677536391722e36) }}, {{ SC_(28.0), SC_(0.5), SC_(-1.6368568362986349120390762957016873e38) }}, {{ SC_(29.0), SC_(0.5), SC_(9.4937696505319902685274359255316741e39) }}, {{ SC_(30.0), SC_(0.5), SC_(-5.6962617903191757168598825608931775e41) }}, {{ SC_(31.0), SC_(0.5), SC_(3.5316823099978851326405053801048261e43) }}, {{ SC_(32.0), SC_(0.5), SC_(-2.2602766783986456717032825683189511e45) }}, {{ SC_(33.0), SC_(0.5), SC_(1.4917826077431059644231123371238779e47) }}, {{ SC_(34.0), SC_(0.5), SC_(-1.0144121732653120152568117095915465e49) }}, {{ SC_(35.0), SC_(0.5), SC_(7.1008852128571840121789056825569522e50) }}, {{ SC_(36.0), SC_(0.5), SC_(-5.1126373532571724660603059705232204e52) }}, {{ SC_(37.0), SC_(0.5), SC_(3.7833516414103076192831949360932899e54) }}, {{ SC_(38.0), SC_(0.5), SC_(-2.8753472474718337892361988468491097e56) }}, {{ SC_(39.0), SC_(0.5), SC_(2.2427708530280303552352874820086301e58) }}, {{ SC_(40.0), SC_(0.5), SC_(-1.7942166824224242840898439541031383e60) }}, {{ SC_(41.0), SC_(0.5), SC_(1.4712576795863879129267798604374659e62) }}, {{ SC_(42.0), SC_(0.5), SC_(-1.2358564508525658468509652718307801e64) }}, {{ SC_(43.0), SC_(0.5), SC_(1.0628365477332066282896715879731180e66) }}, {{ SC_(44.0), SC_(0.5), SC_(-9.3529616200522183289427782398136808e67) }}, {{ SC_(45.0), SC_(0.5), SC_(8.4176654580469964960466008955275434e69) }}, {{ SC_(46.0), SC_(0.5), SC_(-7.7442522214032367763622903043252397e71) }}, {{ SC_(47.0), SC_(0.5), SC_(7.2795970881190425697803703632702328e73) }}, {{ SC_(48.0), SC_(0.5), SC_(-6.9884132045942808669890971414448669e75) }}, {{ SC_(49.0), SC_(0.5), SC_(6.8486449405023952496492961188997479e77) }}, {{ SC_(50.0), SC_(0.5), SC_(-6.8486449405023952496492897589943408e79) }},
+   }};
+
+   do_test_polygamma<T>(data, name, "Mathematica Data");
+
+   boost::array<boost::array<value_type, 3>, 284> big_data =
+   { {
+      {{ 1, SC_(2.0000000000000000000000000000000000), SC_(0.64493406684822643647241516664602519) }}, {{ 1, SC_(4.0000000000000000000000000000000000), SC_(0.28382295573711532536130405553491408) }}, {{ 1, SC_(8.0000000000000000000000000000000000), SC_(0.13313701469403142513454668592040161) }}, {{ 1, SC_(16.000000000000000000000000000000000), SC_(0.064493783403239361781710772311927225) }}, {{ 1, SC_(32.000000000000000000000000000000000), SC_(0.031743366520302090126581680438741427) }}, {{ 1, SC_(64.000000000000000000000000000000000), SC_(0.015747706064338930155744003071350465) }}, {{ 1, SC_(128.00000000000000000000000000000000), SC_(0.0078430970500146151295391657680446584) }}, {{ 1, SC_(256.00000000000000000000000000000000), SC_(0.0039138893286083964054615299292933721) }}, {{ 1, SC_(512.00000000000000000000000000000000), SC_(0.0019550335903952979329050939908745913) }}, {{ 1, SC_(1024.0000000000000000000000000000000), SC_(0.00097703949237860262165259669085763056) }},
+      {{ 1, SC_(2048.0000000000000000000000000000000), SC_(0.00048840047869210349388677277938304048) }}, {{ 1, SC_(4096.0000000000000000000000000000000), SC_(0.00024417042974770687112825193241674713) }}, {{ 1, SC_(8192.0000000000000000000000000000000), SC_(0.00012207776338376182351559927851701587) }}, {{ 1, SC_(16384.000000000000000000000000000000), SC_(0.000061037018933044843502668828413112893) }}, {{ 1, SC_(32768.000000000000000000000000000000), SC_(0.000030518043791024259310109487753004549) }},
+      {{ 2, SC_(2.0000000000000000000000000000000000), SC_(-0.40411380631918857079947632302289998) }}, {{ 2, SC_(4.0000000000000000000000000000000000), SC_(-0.080039732245114496725402248948825907) }}, {{ 2, SC_(8.0000000000000000000000000000000000), SC_(-0.017699569195767773909291677736213879) }}, {{ 2, SC_(16.000000000000000000000000000000000), SC_(-0.0041580101239589621541865297842265262) }}, {{ 2, SC_(32.000000000000000000000000000000000), SC_(-0.0010075567602140907392185110593117265) }}, {{ 2, SC_(64.000000000000000000000000000000000), SC_(-0.00024798512216328534949893202341675581) }}, {{ 2, SC_(128.00000000000000000000000000000000), SC_(-0.000061513856015459056093727063597403146) }}, {{ 2, SC_(256.00000000000000000000000000000000), SC_(-0.000015318510122005107648117663349723503) }}, {{ 2, SC_(512.00000000000000000000000000000000), SC_(-3.8221551221702861883051574825692679e-6) }}, {{ 2, SC_(1024.0000000000000000000000000000000), SC_(-9.5460609372807180482794242236285690e-7) }}, {{ 2, SC_(2048.0000000000000000000000000000000), SC_(-2.3853502284509660646447307719091929e-7) }}, {{ 2, SC_(4096.0000000000000000000000000000000), SC_(-5.9619198466975795959019740002484769e-8) }}, {{ 2, SC_(8192.0000000000000000000000000000000), SC_(-1.4902980294273504017537750635770593e-8) }}, {{ 2, SC_(16384.000000000000000000000000000000), SC_(-3.7255176790762511898502424554181168e-9) }}, {{ 2, SC_(32768.000000000000000000000000000000), SC_(-9.3135099675858978849200435754135096e-10) }}, {{ 2, SC_(65536.000000000000000000000000000000), SC_(-2.3283419639465348371721333739142464e-10) }}, {{ 2, SC_(131072.00000000000000000000000000000), SC_(-5.8208105004371323183654400926421586e-11) }}, {{ 2, SC_(262144.00000000000000000000000000000), SC_(-1.4551970739623962182873920142648449e-11) }}, {{ 2, SC_(524288.00000000000000000000000000000), SC_(-3.6379857459922343037889500943887953e-12) }}, {{ 2, SC_(1.0485760000000000000000000000000000e6), SC_(-9.0949556913507981662486265691361231e-13) }}, {{ 2, SC_(2.0971520000000000000000000000000000e6), SC_(-2.2737378386347515742334544652596257e-13) }}, {{ 2, SC_(4.1943040000000000000000000000000000e6), SC_(-5.6843432413336786525629259100975662e-14) }}, {{ 2, SC_(8.3886080000000000000000000000000000e6), SC_(-1.4210856409267999200219031777240284e-14) }}, {{ 2, SC_(1.6777216000000000000000000000000000e7), SC_(-3.5527138905587440538179478730582199e-15) }}, {{ 2, SC_(3.3554432000000000000000000000000000e7), SC_(-8.8817844616990522846624354086352033e-16) }}, {{ 2, SC_(6.7108864000000000000000000000000000e7), SC_(-2.2204460823375378294874032126041593e-16) }}, {{ 2, SC_(1.3421772800000000000000000000000000e8), SC_(-5.5511151644848134838439376350034016e-17) }}, {{ 2, SC_(2.6843545600000000000000000000000000e8), SC_(-1.3877787859513245136156122749960089e-17) }}, {{ 2, SC_(5.3687091200000000000000000000000000e8), SC_(-3.4694469584159627304129087489268059e-18) }}, {{ 2, SC_(1.0737418240000000000000000000000000e9), 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}}, {{ SC_(30.0),  SC_(1.8014398509481984000000000000000000e16), SC_(-1.8964694214383340521722742474983073e-457) }}, {{ SC_(30.0),  SC_(3.6028797018963968000000000000000000e16), SC_(-1.7662247842534755008372178353398608e-466) }}, {{ SC_(30.0),  SC_(7.2057594037927936000000000000000000e16), SC_(-1.6449250134206145379392674041454779e-475) }}, {{ SC_(30.0),  SC_(1.4411518807585587200000000000000000e17), SC_(-1.5319557985482871222587909400586267e-484) }}, {{ SC_(30.0),  SC_(2.8823037615171174400000000000000000e17), SC_(-1.4267450185011020326364788255126534e-493) }}, {{ SC_(30.0),  SC_(5.7646075230342348800000000000000000e17), SC_(-1.3287598439502548384585954790099239e-502) }}, {{ SC_(30.0),  SC_(1.1529215046068469760000000000000000e18), SC_(-1.2375040389134127843853680088571555e-511) }}, {{ SC_(30.0),  SC_(2.3058430092136939520000000000000000e18), SC_(-1.1525154476178928989312989675999669e-520) }}, {{ SC_(30.0),  SC_(4.6116860184273879040000000000000000e18), SC_(-1.0733636539596066765325327508232535e-529) }}, {{ SC_(30.0),  SC_(9.2233720368547758080000000000000000e18), SC_(-9.9964780170433844885501818972479211e-539) }}, {{ SC_(30.0),  SC_(1.8446744073709551616000000000000000e19), SC_(-9.3099456439198781553856371993072353e-548) }}, {{ SC_(30.0),  SC_(3.6893488147419103232000000000000000e19), SC_(-8.6705625466256198953841239814504762e-557) }}, {{ SC_(30.0),  SC_(7.3786976294838206464000000000000000e19), SC_(-8.0750906342879122995040411743125170e-566) }}, {{ SC_(30.0),  SC_(1.4757395258967641292800000000000000e20), SC_(-7.5205141997783559362248117439409145e-575) }}, {{ SC_(30.0),  SC_(2.9514790517935282585600000000000000e20), SC_(-7.0040246469698435960734303533011581e-584) }}, {{ SC_(30.0),  SC_(5.9029581035870565171200000000000000e20), SC_(-6.5230062668862227312246814035998837e-593) }}, {{ SC_(30.0),  SC_(1.1805916207174113034240000000000000e21), SC_(-6.0750229907093781336599992450810038e-602) }}, {{ SC_(30.0),  SC_(2.3611832414348226068480000000000000e21), SC_(-5.6578060525556822620531601462211155e-611) }}, {{ SC_(30.0),  SC_(4.7223664828696452136960000000000000e21), SC_(-5.2692424995411953535258666060047970e-620) }}, {{ SC_(30.0),  SC_(9.4447329657392904273920000000000000e21), SC_(-4.9073644909460054277605359114212468e-629) }}, {{ SC_(30.0),  SC_(1.8889465931478580854784000000000000e22), SC_(-4.5703393322844108825145652571006034e-638) }}, {{ SC_(30.0),  SC_(3.7778931862957161709568000000000000e22), SC_(-4.2564601938095045113123493445833636e-647) }}, {{ SC_(30.0),  SC_(7.5557863725914323419136000000000000e22), SC_(-3.9641374664469664090420159863859993e-656) }}, {{ SC_(30.0),  SC_(1.5111572745182864683827200000000000e23), SC_(-3.6918907113810688341424078675611601e-665) }}, {{ SC_(30.0),  SC_(3.0223145490365729367654400000000000e23), SC_(-3.4383411625223875363750612697898904e-674) }}, {{ SC_(30.0),  SC_(6.0446290980731458735308800000000000e23), SC_(-3.2022047438867274079238771888571055e-683) }}, {{ SC_(30.0),  SC_(1.2089258196146291747061760000000000e24), SC_(-2.9822855665224859564787125744222496e-692) }}, {{ SC_(30.0),  SC_(2.4178516392292583494123520000000000e24), SC_(-2.7774698720523025435197111896762965e-701) }}, {{ SC_(30.0),  SC_(4.8357032784585166988247040000000000e24), SC_(-2.5867203921566741015014262629362602e-710) }}, {{ SC_(30.0),  SC_(9.6714065569170333976494080000000000e24), SC_(-2.4090710954337139627909495039162813e-719) }}, {{ SC_(30.0),  SC_(1.9342813113834066795298816000000000e25), SC_(-2.2436222950310576360588405614024340e-728) }}, {{ SC_(30.0),  SC_(3.8685626227668133590597632000000000e25), SC_(-2.0895360922730133273255449640176061e-737) }}, {{ SC_(30.0),  SC_(7.7371252455336267181195264000000000e25), SC_(-1.9460321332076688551581879695116458e-746) }}, {{ SC_(30.0),  SC_(1.5474250491067253436239052800000000e26), SC_(-1.8123836565834180034307649180969011e-755) }}, {{ SC_(30.0),  SC_(3.0948500982134506872478105600000000e26), SC_(-1.6879138132402841033700526042422183e-764) }}, {{ SC_(30.0),  SC_(6.1897001964269013744956211200000000e26), SC_(-1.5719922382759713599179429591983936e-773) }}, {{ SC_(30.0),  SC_(1.2379400392853802748991242240000000e27), SC_(-1.4640318586267264186571752095136003e-782) }}, {{ SC_(30.0),  SC_(2.4758800785707605497982484480000000e27), SC_(-1.3634859198953271085928894585406723e-791) }}, {{ SC_(30.0),  SC_(4.9517601571415210995964968960000000e27), SC_(-1.2698452173688701433994709089494920e-800) }}, {{ SC_(30.0),  SC_(9.9035203142830421991929937920000000e27), SC_(-1.1826355172031280988822420193126128e-809) }}, {{ SC_(30.0),  SC_(1.9807040628566084398385987584000000e28), SC_(-1.1014151547133252945563215933898419e-818) }}, {{ SC_(30.0),  SC_(3.9614081257132168796771975168000000e28), SC_(-1.0257727976081197099353387886404875e-827) }}, {{ SC_(30.0),  SC_(7.9228162514264337593543950336000000e28), SC_(-9.5532536283891621039746216353614015e-837) }}, {{ SC_(30.0),  SC_(1.5845632502852867518708790067200000e29), SC_(-8.8971607651460562869670071028704372e-846) }}, {{ SC_(30.0),  SC_(3.1691265005705735037417580134400000e29), SC_(-8.2861266705636459281360796675545348e-855) }}, {{ SC_(30.0),  SC_(6.3382530011411470074835160268800000e29), SC_(-7.7170568244193177000955489160105929e-864) }}, {{ SC_(30.0),  SC_(1.2676506002282294014967032053760000e30), SC_(-7.1870692301721476950641245729469486e-873) }},
+      {{ SC_(31.0), SC_(2.0000000000000000000000000000000000), SC_(1.9145332544935048093264355986676073e24) }}, {{ SC_(31.0), SC_(4.0000000000000000000000000000000000), SC_(4.4611518561919816922776795853710092e14) }}, {{ SC_(31.0), SC_(8.0000000000000000000000000000000000), SC_(106267.95619808419253963903669279065) }}, {{ SC_(31.0), SC_(16.000000000000000000000000000000000), SC_(0.000028318136062027075392587779376335821) }}, {{ SC_(31.0), SC_(32.000000000000000000000000000000000), SC_(9.0814734303237413772295578988209818e-15) }}
+   } };
+   do_test_polygamma<T>(big_data, name, "Mathematica Data - large arguments");
+
+   boost::array<boost::array<value_type, 3>, 654> neg_data =
+   { {
+      {{ SC_(1.0), SC_(-12.750), SC_(19.663772856722737612034697464751605) }}, {{ SC_(1.0), SC_(-12.250), SC_(19.660817549236368273654684043826967) }}, {{ SC_(1.0), SC_(-11.750), SC_(19.657621376522814505537196503582823) }}, {{ SC_(1.0), SC_(-11.250), SC_(19.654153659190554029589711115880278) }}, {{ SC_(1.0), SC_(-10.750), SC_(19.650378280099093364749509767503149) }}, {{ SC_(1.0), SC_(-10.250), SC_(19.646252424622652795021809881312377) }}, {{ SC_(1.0), SC_(-9.7500), SC_(19.641724953976865133273035997897957) }}, {{ SC_(1.0), SC_(-9.2500), SC_(19.636734280660725370869519577921538) }}, {{ SC_(1.0), SC_(-8.7500), SC_(19.631205558842085383108670448917024) }}, {{ SC_(1.0), SC_(-8.2500), SC_(19.625046917622010980803778160828770) }}, {{ SC_(1.0), SC_(-7.7500), SC_(19.618144334352289464741323510141514) }}, {{ SC_(1.0), SC_(-7.2500), SC_(19.610354539293269015698176691590937) }}, {{ SC_(1.0), SC_(-6.7500), SC_(19.601495010731061577124257953429755) }}, {{ SC_(1.0), SC_(-6.2500), SC_(19.591329569019785068016844943671793) }}, {{ SC_(1.0), SC_(-5.7500), SC_(19.579547136931335925546754524074474) }}, {{ SC_(1.0), SC_(-5.2500), SC_(19.565729569019785068016844943671793) }}, {{ SC_(1.0), SC_(-4.7500), SC_(19.549301390239464469970194977760674) }}, {{ SC_(1.0), SC_(-4.2500), SC_(19.529448389881463072551992335962043) }}, {{ SC_(1.0), SC_(-3.7500), SC_(19.504980060599575273294294700752364) }}, {{ SC_(1.0), SC_(-3.2500), SC_(19.474085068082155114074483685443011) }}, {{ SC_(1.0), SC_(-2.7500), SC_(19.433868949488464162183183589641253) }}, {{ SC_(1.0), SC_(-2.2500), SC_(19.379410511869137362595193744614609) }}, {{ SC_(1.0), SC_(-1.7500), SC_(19.301637544529786476232770366500757) }}, {{ SC_(1.0), SC_(-1.2500), SC_(19.181879647671606498397662880417078) }}, {{ SC_(1.0), SC_(-0.75000), SC_(18.975106932284888517049096897113002) }}, {{ SC_(1.0), SC_(-0.25000), SC_(18.541879647671606498397662880417078) }},
+      {{ SC_(2.0), SC_(-12.750), SC_(-124.03079461415823384604153251543681) }}, {{ SC_(2.0), SC_(-12.250), SC_(124.01896466745858356132308878716344) }}, {{ SC_(2.0), SC_(-11.750), SC_(-124.03175955222881001960976796032603) }}, {{ SC_(2.0), SC_(-11.250), SC_(124.01787668541028735821044014586602) }}, {{ SC_(2.0), SC_(-10.750), SC_(-124.03299241970518808612682102178640) }}, {{ SC_(2.0), SC_(-10.250), SC_(124.01647202148710491650947992638728) }}, {{ SC_(2.0), SC_(-9.7500), SC_(-124.03460234084420729198290916496876) }}, {{ SC_(2.0), SC_(-9.2500), SC_(124.01461482266526541911391108670126) }}, {{ SC_(2.0), SC_(-8.7500), SC_(-124.03676016548723903560636876475972) }}, {{ SC_(2.0), SC_(-8.2500), SC_(124.01208782525148933477537240192445) }}, {{ SC_(2.0), SC_(-7.7500), SC_(-124.03974558822776381694747663647984) }}, {{ SC_(2.0), SC_(-7.2500), SC_(124.00852603656573370687098416695770) }}, {{ SC_(2.0), SC_(-6.7500), SC_(-124.04404218787195165891317097369578) }}, {{ SC_(2.0), SC_(-6.2500), SC_(124.00327776890408296268303058132483) }}, {{ SC_(2.0), SC_(-5.7500), SC_(-124.05054526159038888901020902683808) }}, {{ SC_(2.0), SC_(-5.2500), SC_(123.99508576890408296268303058132483) }}, {{ SC_(2.0), SC_(-4.7500), SC_(-124.06106552130930069964553408642549) }}, {{ SC_(2.0), SC_(-4.2500), SC_(123.98126436732757934536308673076874) }}, {{ SC_(2.0), SC_(-3.7500), SC_(-124.07972713378925404561433420306057) }}, {{ SC_(2.0), SC_(-3.2500), SC_(123.95521103942202265902072971875978) }}, {{ SC_(2.0), SC_(-2.7500), SC_(-124.11765305971517997154026012898649) }}, {{ SC_(2.0), SC_(-2.2500), SC_(123.89694977406016558118732052440384) }}, {{ SC_(2.0), SC_(-1.7500), SC_(-124.21382135423058192495874247308867) }}, {{ SC_(2.0), SC_(-1.2500), SC_(123.72136678366236036856729308956159) }}, {{ SC_(2.0), SC_(-0.75000), SC_(-124.58699919679617959259722643810325) }}, {{ SC_(2.0), SC_(-0.25000), SC_(122.69736678366236036856729308956159) }},
+      {{ SC_(3.0), SC_(-12.750), SC_(1558.5445992104061926890981987122713) }}, {{ SC_(3.0), SC_(-12.250), SC_(1558.5444945580353369268010524200916) }}, {{ SC_(3.0), SC_(-11.750), SC_(1558.5443721661542924129644962546503) }}, {{ SC_(3.0), SC_(-11.250), SC_(1558.5442281134520807137938731609983) }}, {{ SC_(3.0), SC_(-10.750), SC_(1558.5440573914794724810878018559796) }}, {{ SC_(3.0), SC_(-10.250), SC_(1558.5438535364058987293402837691373) }}, {{ SC_(3.0), SC_(-9.7500), SC_(1558.5436081111616066561977307462543) }}, {{ SC_(3.0), SC_(-9.2500), SC_(1558.5433099660190188764440197184975) }}, {{ SC_(3.0), SC_(-8.7500), SC_(1558.5429441651175968889289739463186) }}, {{ SC_(3.0), SC_(-8.2500), SC_(1558.5424903992902266328747639288402) }}, {{ SC_(3.0), SC_(-7.7500), SC_(1558.5419205916065598210405941045860) }}, {{ SC_(3.0), SC_(-7.2500), SC_(1558.5411952034044973136368045706704) }}, {{ SC_(3.0), SC_(-6.7500), SC_(1558.5402573917442935596345188772766) }}, {{ SC_(3.0), SC_(-6.2500), SC_(1558.5390235064410556263866168800637) }}, {{ SC_(3.0), SC_(-5.7500), SC_(1558.5373671367583214573691686314356) }}, {{ SC_(3.0), SC_(-5.2500), SC_(1558.5350913464410556263866168800637) }}, {{ SC_(3.0), SC_(-4.7500), SC_(1558.5318783056006283387768251220856) }}, {{ SC_(3.0), SC_(-4.2500), SC_(1558.5271934026830535593466489654603) }}, {{ SC_(3.0), SC_(-3.7500), SC_(1558.5200920240343420150070566273687) }}, {{ SC_(3.0), SC_(-3.2500), SC_(1558.5088028182791311925167498981598) }}, {{ SC_(3.0), SC_(-2.7500), SC_(1558.4897512832936012742663158866280) }}, {{ SC_(3.0), SC_(-2.2500), SC_(1558.4550231887143400437474491033697) }}, {{ SC_(3.0), SC_(-1.7500), SC_(1558.3848404165495264159916078748802) }}, {{ SC_(3.0), SC_(-1.2500), SC_(1558.2209125348505997602540791902467) }}, {{ SC_(3.0), SC_(-0.75000), SC_(1557.7451069721513589857542067919980) }}, {{ SC_(3.0), SC_(-0.25000), SC_(1555.7633125348505997602540791902467) }},
+      {{ SC_(4.0), SC_(-12.750), SC_(-24481.574976569827769932951761311307) }}, {{ SC_(4.0), SC_(-12.250), SC_(24481.574556933476371183897773040987) }}, {{ SC_(4.0), SC_(-11.750), SC_(-24481.575047799396993548993707180364) }}, {{ SC_(4.0), SC_(-11.250), SC_(24481.574469931163471195977061446181) }}, {{ SC_(4.0), SC_(-10.750), SC_(-24481.575154956733102461973007401188) }}, {{ SC_(4.0), SC_(-10.250), SC_(24481.574336748213717601504674106852) }}, {{ SC_(4.0), SC_(-9.7500), SC_(-24481.575322130804866489839080372249) }}, {{ SC_(4.0), SC_(-9.2500), SC_(24481.574124623184691317447595452944) }}, {{ SC_(4.0), SC_(-8.7500), SC_(-24481.575594518925485881539083161966) }}, {{ SC_(4.0), SC_(-8.2500), SC_(24481.573770215950618995904133489849) }}, {{ SC_(4.0), SC_(-7.7500), SC_(-24481.576062438244817112573771089615) }}, {{ SC_(4.0), SC_(-7.2500), SC_(24481.573142242187841144152395619221) }}, {{ SC_(4.0), SC_(-6.7500), SC_(-24481.576920863980180344267229271453) }}, {{ SC_(4.0), SC_(-6.2500), SC_(24481.571944064552838833945395514059) }}, {{ SC_(4.0), SC_(-5.7500), SC_(-24481.578633607675571219683733120840) }}, {{ SC_(4.0), SC_(-5.2500), SC_(24481.569427482152838833945395514059) }}, {{ SC_(4.0), SC_(-4.7500), SC_(-24481.582451925002662084791450344735) }}, {{ SC_(4.0), SC_(-4.2500), SC_(24481.563410001194361068581610436266) }}, {{ SC_(4.0), SC_(-3.7500), SC_(-24481.592377214742692673229150129760) }}, {{ SC_(4.0), SC_(-3.2500), SC_(24481.546101215873022370388764255277) }}, {{ SC_(4.0), SC_(-2.7500), SC_(-24481.624740671532816130019273586550) }}, {{ SC_(4.0), SC_(-2.2500), SC_(24481.479910902562510187288086353997) }}, {{ SC_(4.0), SC_(-1.7500), SC_(-24481.777338295887834105691576149093) }}, {{ SC_(4.0), SC_(-1.2500), SC_(24481.063714184582527461077650952890) }}, {{ SC_(4.0), SC_(-0.75000), SC_(-24483.239586168797931089091350052823) }}, {{ SC_(4.0), SC_(-0.25000), SC_(24473.199394184582527461077650952890) }},
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+      {{ SC_(125.0), SC_(-1.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-2.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-3.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-4.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-5.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-6.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-7.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-8.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-9.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-10.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-11.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-12.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-13.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-14.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-15.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-16.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-17.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-18.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-19.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-20.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }},
+      {{ SC_(124.0), SC_(-1.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-2.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-3.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-4.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-5.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-6.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-7.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-8.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-9.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-10.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-11.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-12.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-13.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-14.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-15.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-16.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-17.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-18.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-19.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-20.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) }},
+      {{ SC_(124.0), SC_(-1.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-2.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-3.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-4.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-5.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-6.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-7.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-8.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-9.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-10.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-11.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-12.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-13.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-14.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-15.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-16.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-17.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-18.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-19.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }}, {{ SC_(124.0), SC_(-20.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) }},
+      {{ SC_(1.0), SC_(-0.500), SC_(8.9348022005446793094172454999380756) }}, {{ SC_(2.0), SC_(-0.500), SC_(-0.82879664423431999559633426116029987) }}, {{ SC_(3.0), SC_(-0.500), SC_(193.40909103400243723644033268870511) }}, {{ SC_(4.0), SC_(-0.500), SC_(-3.4742498266672251905359219240334210) }}, {{ SC_(5.0), SC_(-0.500), SC_(15371.113548602435496241755549219359) }}, {{ SC_(6.0), SC_(-0.500), SC_(-43.457923803023286231087958265415698) }}, {{ SC_(7.0), SC_(-0.500), SC_(2.5806802181855980649694862685313201e6) }}, {{ SC_(8.0), SC_(-0.500), SC_(-1059.9617600414264025178879353865365) }}, {{ SC_(9.0), SC_(-0.500), SC_(7.4318457238509742722370782665375996e8) }}, {{ SC_(10.), SC_(-0.500), SC_(-42108.858768975491796771277214753871) }}, {{ SC_(11.), SC_(-0.500), SC_(3.2699873393475880004602936491973290e11) }}, {{ SC_(12.), SC_(-0.500), SC_(-2.4644776094268285475780118302319831e6) }}, {{ SC_(13.), SC_(-0.500), SC_(2.0404703892185195041277151739878551e14) }}, {{ SC_(14.), SC_(-0.500), SC_(-1.9917964814708338071590970890436861e8) }}, {{ SC_(15.), SC_(-0.500), SC_(1.7139949675391451725203269743703670e17) }}, {{ SC_(16.), SC_(-0.500), SC_(-2.1239385116043117742696464301184360e10) }}, {{ SC_(17.), SC_(-0.500), SC_(1.8648265054229230657699496051237022e20) }}, {{ SC_(18.), SC_(-0.500), SC_(-2.8882421804274914449348671586694211e12) }}, {{ SC_(19.), SC_(-0.500), SC_(2.5510826564916635359511595679555294e23) }}, {{ SC_(20.), SC_(-0.500), SC_(-4.8777294946260987363553987421237456e14) }}, {{ SC_(21.), SC_(-0.500), SC_(4.2858188623596794335838558079810850e26) }},
+      {{ SC_(1.0), SC_(-0.50000023841857910156250000000000000), SC_(8.9348023981506946089014375825505155) }}, {{ SC_(2.0), SC_(-0.50000023841857910156250000000000000), SC_(-0.82884275655508842604754532179574729) }}, {{ SC_(3.0), SC_(-0.50000023841857910156250000000000000), SC_(193.40909186276501767728859938348815) }}, {{ SC_(4.0), SC_(-0.50000023841857910156250000000000000), SC_(-3.4779145857199327369685563062655118) }}, {{ SC_(5.0), SC_(-0.50000023841857910156250000000000000), SC_(15371.113559036959283359095676640936) }}, {{ SC_(6.0), SC_(-0.50000023841857910156250000000000000), SC_(-44.073205913790411411330389206216025) }}, {{ SC_(7.0), SC_(-0.50000023841857910156250000000000000), SC_(2.5806802184594352176701819301926979e6) }}, {{ SC_(8.0), SC_(-0.50000023841857910156250000000000000), SC_(-1237.1507698016190706446362670415721) }}, {{ SC_(9.0), SC_(-0.50000023841857910156250000000000000), SC_(7.4318457240443082449903207673842183e8) }}, {{ SC_(10.), SC_(-0.50000023841857910156250000000000000), SC_(-120071.43228224150936593763797588950) }}, {{ SC_(11.), SC_(-0.50000023841857910156250000000000000), SC_(3.2699873394114574294629126382636465e11) }}, {{ SC_(12.), SC_(-0.50000023841857910156250000000000000), SC_(-5.1113082699448800419004327980237078e7) }}, {{ SC_(13.), SC_(-0.50000023841857910156250000000000000), SC_(2.0404703892677090523475108203530504e14) }}, {{ SC_(14.), SC_(-0.50000023841857910156250000000000000), SC_(-4.1064004123360078851054877806228941e10) }}, {{ SC_(15.), SC_(-0.50000023841857910156250000000000000), SC_(1.7139949675921973682361201187974158e17) }}, {{ SC_(16.), SC_(-0.50000023841857910156250000000000000), SC_(-4.4482167955078907488604509935932075e13) }}, {{ SC_(17.), SC_(-0.50000023841857910156250000000000000), SC_(1.8648265054954360818722434334340996e20) }}, {{ SC_(18.), SC_(-0.50000023841857910156250000000000000), SC_(-6.0825438456286690418846111378451293e16) }}, {{ SC_(19.), SC_(-0.50000023841857910156250000000000000), SC_(2.5510826566134749972709942636451521e23) }}, {{ SC_(20.), SC_(-0.50000023841857910156250000000000000), SC_(-1.0218237211995580504353583819436291e20) }}, {{ SC_(21.), SC_(-0.50000023841857910156250000000000000), SC_(4.2858188626062237162861505116019247e26) }},
+      {{ SC_(1.0), SC_(-0.49999976158142089843750000000000000), SC_(8.9348020029496580439061915046847633) }}, {{ SC_(2.0), SC_(-0.49999976158142089843750000000000000), SC_(-0.82875053191374905338324754695139008) }}, {{ SC_(3.0), SC_(-0.49999976158142089843750000000000000), SC_(193.40909020611360344139301017638823) }}, {{ SC_(4.0), SC_(-0.49999976158142089843750000000000000), SC_(-3.4705850676169879410688441586536334) }}, {{ SC_(5.0), SC_(-0.49999976158142089843750000000000000), SC_(15371.113538314606395712740903053532) }}, {{ SC_(6.0), SC_(-0.49999976158142089843750000000000000), SC_(-42.842641692316412901148012739850716) }}, {{ SC_(7.0), SC_(-0.49999976158142089843750000000000000), SC_(2.5806802179540060642078552424908302e6) }}, {{ SC_(8.0), SC_(-0.49999976158142089843750000000000000), SC_(-882.77275028362734588789574976519641) }}, {{ SC_(9.0), SC_(-0.49999976158142089843750000000000000), SC_(7.4318457238435175594844592942103986e8) }}, {{ SC_(10.), SC_(-0.49999976158142089843750000000000000), SC_(35853.714744150436439369297880163123) }}, {{ SC_(11.), SC_(-0.49999976158142089843750000000000000), SC_(3.2699873393997058844655604408250598e11) }}, {{ SC_(12.), SC_(-0.49999976158142089843750000000000000), SC_(4.6184127480583821271680125577145403e7) }}, {{ SC_(13.), SC_(-0.49999976158142089843750000000000000), SC_(2.0404703892667592897735663251491103e14) }}, {{ SC_(14.), SC_(-0.49999976158142089843750000000000000), SC_(4.0665644827064704770358560360332387e10) }}, {{ SC_(15.), SC_(-0.49999976158142089843750000000000000), SC_(1.7139949675920960909557128308150980e17) }}, {{ SC_(16.), SC_(-0.49999976158142089843750000000000000), SC_(4.4439689184846657075559083382657063e13) }}, {{ SC_(17.), SC_(-0.49999976158142089843750000000000000), SC_(1.8648265054954223096603082369745267e20) }}, {{ SC_(18.), SC_(-0.49999976158142089843750000000000000), SC_(6.0819661971925807709274166342293111e16) }}, {{ SC_(19.), SC_(-0.49999976158142089843750000000000000), SC_(2.5510826566134726713883235580466596e23) }}, {{ SC_(20.), SC_(-0.49999976158142089843750000000000000), SC_(1.0218139657405687413065653078640133e20) }}, {{ SC_(21.), SC_(-0.49999976158142089843750000000000000), SC_(4.2858188626062232387116210610555278e26) }},
+   } };
+   do_test_polygamma<T>(neg_data, name, "Mathematica Data - negative arguments");
+
+   boost::array<boost::array<value_type, 3>, 90> small_data = 
+   { {
+      {{ SC_(0.0), SC_(0.12500000000000000000), SC_(-8.3884926632958548678027429230863430) }}, {{ SC_(0.0), SC_(0.062500000000000000000), SC_(-16.478853490060104366505723782801995) }}, {{ SC_(0.0), SC_(0.031250000000000000000), SC_(-32.526953288606118111369026129964135) }}, {{ SC_(0.0), SC_(0.015625000000000000000), SC_(-64.551802973167856670965920212624596) }}, {{ SC_(0.0), SC_(0.0078125000000000000000), SC_(-128.56443747297672763722041223143322) }}, {{ SC_(0.0), SC_(0.0039062500000000000000), SC_(-256.57080841886464838984737508407824) }}, {{ SC_(0.0), SC_(0.0019531250000000000000), SC_(-512.57400748048652546824732749592750) }}, {{ SC_(0.0), SC_(0.00097656250000000000000), SC_(-1024.5756104293406219086220979096446) }}, {{ SC_(0.0), SC_(0.00048828125000000000000), SC_(-2048.5764127609059633822989920937770) }}, {{ SC_(0.0), SC_(0.00024414062500000000000), SC_(-4096.5768141413027972625364884707221) }}, {{ SC_(0.0), SC_(0.00012207031250000000000), SC_(-8192.5770148851960259755970875167303) }}, {{ SC_(0.0), SC_(0.000061035156250000000000), SC_(-16384.577115270571506673278270921248) }}, {{ SC_(0.0), SC_(0.000030517578125000000000), SC_(-32768.577165466617109315191527852551) }}, {{ SC_(0.0), SC_(0.000015258789062500000000), SC_(-65536.577190565479456940587995127301) }}, {{ SC_(0.0), SC_(7.6293945312500000000e-6), SC_(-131072.57720311512052742189906385878) }}, {{ SC_(0.0), SC_(3.8146972656250000000e-6), SC_(-262144.57720938999353809133982546559) }}, {{ SC_(0.0), SC_(1.9073486328125000000e-6), SC_(-524288.57721252744316244096483807868) }}, {{ SC_(0.0), SC_(9.5367431640625000000e-7), SC_(-1.0485765772140961712543892173131386e6) }},
+      {{ SC_(1.0), SC_(0.1250000000), SC_(65.388133444988034473142999334395961) }}, {{ SC_(1.0), SC_(0.06250000000), SC_(257.50642004291541426394984152786018) }}, {{ SC_(1.0), SC_(0.03125000000), SC_(1025.5728544782377088851896549789956) }}, {{ SC_(1.0), SC_(0.01562500000), SC_(4097.6081469812325471140472931934309) }}, {{ SC_(1.0), SC_(0.007812500000), SC_(16385.626348148031663597978251925972) }}, {{ SC_(1.0), SC_(0.003906250000), SC_(65537.635592296074077546680509110271) }}, {{ SC_(1.0), SC_(0.001953125000), SC_(262145.64025088744769438583827382756) }}, {{ SC_(1.0), SC_(0.0009765625000), SC_(1.0485776425893921526170408061678298e6) }},
+      {{ SC_(2.0), SC_(0.1250000000), SC_(-1025.7533381181356825956689300565174) }}, {{ SC_(2.0), SC_(0.06250000000), SC_(-8194.0423055503627202407284588855458) }}, {{ SC_(2.0), SC_(0.03125000000), SC_(-65538.212736402744663973874571262931) }}, {{ SC_(2.0), SC_(0.01562500000), SC_(-524290.30560802491992997062359624105) }}, {{ SC_(2.0), SC_(0.007812500000), SC_(-4.1943063541297826472489756741474152e6) }}, {{ SC_(2.0), SC_(0.003906250000), SC_(-3.3554434378935516909394862712904232e7) }}, {{ SC_(2.0), SC_(0.001953125000), SC_(-2.6843545839147764655287988662280398e8) }}, {{ SC_(2.0), SC_(0.0009765625000), SC_(-2.1474836503977839163960630063909364e9) }},
+      {{ SC_(3.0), SC_(0.1250000000), SC_(24580.143419063566218511004446647010) }}, {{ SC_(3.0), SC_(0.06250000000), SC_(393221.15036999967974263906424748910) }}, {{ SC_(3.0), SC_(0.03125000000), SC_(6.2914617723523498519444110540563165e6) }}, {{ SC_(3.0), SC_(0.01562500000), SC_(1.0066330211954465631968224525194028e8) }}, {{ SC_(3.0), SC_(0.007812500000), SC_(1.6106127423031841473495039368910042e9) }}, {{ SC_(3.0), SC_(0.003906250000), SC_(2.5769803782397651667126674423858834e10) }}, {{ SC_(3.0), SC_(0.001953125000), SC_(4.1231686042244556536661660289768233e11) }}, {{ SC_(3.0), SC_(0.0009765625000), SC_(6.5970697666624696945083422683684831e12) }},
+      {{ SC_(4.0), SC_(0.1250000000), SC_(-786445.98543106378579320120709638297) }}, {{ SC_(4.0), SC_(0.06250000000), SC_(-2.5165842491343080297812493001330106e7) }}, {{ SC_(4.0), SC_(0.03125000000), SC_(-8.0530638940150780088628643019449463e8) }}, {{ SC_(4.0), SC_(0.01562500000), SC_(-2.5769803799064252508878172105001377e10) }}, {{ SC_(4.0), SC_(0.007812500000), SC_(-8.2463372085595426712260437166652246e11) }}, {{ SC_(4.0), SC_(0.003906250000), SC_(-2.6388279066648414875708308182697262e13) }}, {{ SC_(4.0), SC_(0.001953125000), SC_(-8.4442493013199264920484069629201316e14) }}, {{ SC_(4.0), SC_(0.0009765625000), SC_(-2.7021597764223000767391638642998277e16) }},
+      {{ SC_(5.0), SC_(0.1250000000), SC_(3.1457340659602645662942019557433307e7) }}, {{ SC_(5.0), SC_(0.06250000000), SC_(2.0132660051504893647288429933363318e9) }}, {{ SC_(5.0), SC_(0.03125000000), SC_(1.2884901898167237155557768979087387e11) }}, {{ SC_(5.0), SC_(0.01562500000), SC_(8.2463372084313301694493047619778287e12) }}, {{ SC_(5.0), SC_(0.007812500000), SC_(5.2776558133259656048321206289799569e14) }}, {{ SC_(5.0), SC_(0.003906250000), SC_(3.3776997205278839283396175959111085e16) }}, {{ SC_(5.0), SC_(0.001953125000), SC_(2.1617278211378382006727785506307164e18) }}, {{ SC_(5.0), SC_(0.0009765625000), SC_(1.3835058055282163724137457865337740e20) }},
+      {{ SC_(8.0), SC_(0.1250000000), SC_(-5.4116588069756277838328695722389595e12) }}, {{ SC_(8.0), SC_(0.06250000000), SC_(-2.7707693020189462516270216110672946e15) }}, {{ SC_(8.0), SC_(0.03125000000), SC_(-1.4186338826217368769684713903764732e18) }}, {{ SC_(8.0), SC_(0.01562500000), SC_(-7.2634054790231363002428528775599797e20) }}, {{ SC_(8.0), SC_(0.007812500000), SC_(-3.7188636052598456061623085548707189e23) }}, {{ SC_(8.0), SC_(0.003906250000), SC_(-1.9040581658930409501626172937578262e26) }}, {{ SC_(8.0), SC_(0.001953125000), SC_(-9.7487778093723696648306072338399010e28) }}, {{ SC_(8.0), SC_(0.0009765625000), SC_(-4.9913742383986532683932688751727976e31) }},
+      {{ SC_(15.0), SC_(0.1250000000), SC_(3.6807761227792200230957850246407904e26) }}, {{ SC_(15.0), SC_(0.06250000000), SC_(2.4122334398245883325511911077327284e31) }}, {{ SC_(15.0), SC_(0.03125000000), SC_(1.5808813071234422095882610857505513e36) }}, {{ SC_(15.0), SC_(0.01562500000), SC_(1.0360463734364190864757622613687259e41) }}, {{ SC_(15.0), SC_(0.007812500000), SC_(6.7898335129529161251275555560392101e45) }}, {{ SC_(15.0), SC_(0.003906250000), SC_(4.4497852910488231117635948092058560e50) }}, {{ SC_(15.0), SC_(0.001953125000), SC_(2.9162112883417567145253894941611498e55) }}, {{ SC_(15.0), SC_(0.0009765625000), SC_(1.9111682299276536804313592588934511e60) }},
+      {{ SC_(22.0), SC_(0.1250000000), SC_(-6.6349292044725783891012472579673570e41) }}, {{ SC_(22.0), SC_(0.06250000000), SC_(-5.5657820204072306855435555719642654e48) }}, {{ SC_(22.0), SC_(0.03125000000), SC_(-4.6689163582644258586596154617085763e55) }}, {{ SC_(22.0), SC_(0.01562500000), SC_(-3.9165709114267828873358919539012256e62) }}, {{ SC_(22.0), SC_(0.007812500000), SC_(-3.2854578080162002342968961931631453e69) }}, {{ SC_(22.0), SC_(0.003906250000), SC_(-2.7560417651987161415024817781137906e76) }}, {{ SC_(22.0), SC_(0.001953125000), SC_(-2.3119353999880071814336850663739568e83) }}, {{ SC_(22.0), SC_(0.0009765625000), SC_(-1.9393919791822596946232062017265105e90) }},
+      {{ SC_(35.0), SC_(0.1250000000), SC_(3.3532982327901451846973629635910627e72) }}, {{ SC_(35.0), SC_(0.06250000000), SC_(2.3043689989709229438987285737704404e83) }}, {{ SC_(35.0), SC_(0.03125000000), SC_(1.5835503181594194718369731136519624e94) }}, {{ SC_(35.0), SC_(0.01562500000), SC_(1.0882074924904162473416628106826351e105) }}, {{ SC_(35.0), SC_(0.007812500000), SC_(7.4781049464136054012151819362261716e115) }}, {{ SC_(35.0), SC_(0.003906250000), SC_(5.1389145889443628300269064119650184e126) }}, {{ SC_(35.0), SC_(0.001953125000), SC_(3.5314352154325314429637711743107931e137) }}, {{ SC_(35.0), SC_(0.0009765625000), SC_(2.4267838013160699267233738410387795e148) }}
+   } };
+   do_test_polygamma<T>(small_data, name, "Mathematica Data - small arguments");
+
+   using std::ldexp;
+
+   boost::array<boost::array<value_type, 3>, 23> bug_cases = 
+   { {
+      {{ SC_(171.0), SC_(2.0), SC_(2.073093314165313149880140394410e257) }}, {{ SC_(171.0), SC_(5.0), SC_(7.42911976071332889749264626321716781e188) }},
+      {{ SC_(166.0), SC_(2.0), SC_(-4.8129498903508823293044351695484095e247) }}, {{ SC_(166.0), SC_(3.0), SC_(-1.8843912448604502196243093626013895e218) }},
+      {{ SC_(171.0), SC_(23.0), SC_(7.53143916217078889612817829861181739e74) }}, {{ SC_(168.0), SC_(150.0), SC_(-6.5266062780306068333215312257902920e-66) }},
+      {{ SC_(169.0), SC_(202.0), SC_(9.2734049986021958613510169328055599e-88) }},
+      {{ SC_(20.0), SC_(-9.5), SC_(-0.0010307637762451416598018081796345932)}}, {{ SC_(21.0), SC_(-9.5), SC_(4.2858188624279670465725116159418790e26) }}, {{ SC_(22.0), SC_(-9.5), SC_(-0.0041914420015886426448664611125724338) }}, {{ SC_(23.0), SC_(-9.5), SC_(8.6744973773084910367753904944787155e29) }}, {{ SC_(24.0), SC_(-9.5), SC_(-0.020482527998674199369359987617445420) }}, {{ SC_(25.0), SC_(-9.5), SC_(2.0818793705474855280713094147422278e33) }}, {{ SC_(26.0), SC_(-9.5), SC_(-0.11840299831136879082790399023048278) }}, {{ SC_(27.0), SC_(-9.5), SC_(5.8459172724952950454469355072783445e36) }}, {{ SC_(28.0), SC_(-9.5), SC_(-0.79896867888629450211348696225656872) }}, {{ SC_(29.0), SC_(-9.5), SC_(1.8987539301063980537054871851063348e40) }}, {{ SC_(30.0), SC_(-9.5), SC_(-6.2224465669723272001827279817965087) }},
+      {{ SC_(1.0), ldexp(value_type(1), 120), SC_(7.5231638452626400509999138382223723e-37) }}, {{ SC_(2.0), ldexp(value_type(1), 120), SC_(-5.6597994242666952296931995568048699e-73) }}, {{ SC_(3.0), ldexp(value_type(1), 120), SC_(8.5159196800163014398201074324946177e-109) }}, {{ SC_(10.0), ldexp(value_type(1), 120), SC_(-2.1075031678562075551498983356333178e-356) }}, {{ SC_(15.0), ldexp(value_type(1), 120), SC_(1.2201582392961399809842378412624410e-531) }},
+   } };
+   do_test_polygamma<T>(bug_cases, name, "Mathematica Data - Large orders and other bug cases");
+}
+
diff --git a/libs/math/test/test_skew_normal.cpp b/libs/math/test/test_skew_normal.cpp
index c23a252b9..97d5d05a8 100644
--- a/libs/math/test/test_skew_normal.cpp
+++ b/libs/math/test/test_skew_normal.cpp
@@ -279,7 +279,7 @@ void test_spots(RealType)
        coefficient_of_variation(dist)
        , standard_deviation(dist) / mean(dist), tol5);
     // mode: 
-    BOOST_CHECK_CLOSE_FRACTION(mode(dist), static_cast<RealType>(8), 0.001);
+    BOOST_CHECK_CLOSE_FRACTION(mode(dist), static_cast<RealType>(8), 0.001f);
 
     BOOST_CHECK_CLOSE(
        median(dist)
@@ -324,9 +324,9 @@ void test_spots(RealType)
 
     // Skew_normal tests with shape != 0.
     {
-      //RealType tol5 = boost::math::tools::epsilon<RealType>() * 5;
-      RealType tol100 = boost::math::tools::epsilon<RealType>() * 100;
-      RealType tol1000 = boost::math::tools::epsilon<RealType>() * 1000;
+      // Note these tolerances are expressed as percentages, hence the extra * 100 on the end:
+      RealType tol10 = boost::math::tools::epsilon<RealType>() * 10 * 100;
+      RealType tol100 = boost::math::tools::epsilon<RealType>() * 100 * 100;
 
       //skew_normal_distribution<RealType> dist(1.1, 0.02, 0.03);
 
@@ -334,109 +334,111 @@ void test_spots(RealType)
 
       // Test values from R = see skew_normal_drv.cpp which included the R code used.
       {
-        skew_normal_distribution<RealType> dist(static_cast<RealType>(1.1l), static_cast<RealType>(2.2l), static_cast<RealType>(-3.3l));
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(2.2l), static_cast<RealType>(-3.3l));
 
         BOOST_CHECK_CLOSE(      // mean:
            mean(dist)
-           , static_cast<RealType>(-0.579908992539856825862549L), tol100 * 2);
-         BOOST_CHECK_CLOSE(      // variance:
+           , static_cast<RealType>(-0.579908992539856825862549L), tol10 * 2);
+
+        std::cout << std::setprecision(17) << "Variance = " << variance(dist) << std::endl;
+         BOOST_CHECK_CLOSE(      // variance: N[variance[skewnormaldistribution[1.1, 2.2, -3.3]], 50]
           variance(dist)
-          , static_cast<RealType>(2.0179057767837232633904L), tol100);
+          , static_cast<RealType>(2.0179057767837232633904061072049998357047989154484L), tol10);
 
         BOOST_CHECK_CLOSE(      // skewness:
            skewness(dist)
-           , static_cast<RealType>(-0.709854548171537509192897824663L), tol1000);
+           , static_cast<RealType>(-0.709854548171537509192897824663L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis:
            kurtosis(dist)
-           , static_cast<RealType>(3.5538752625241790601377L), tol1000);
+           , static_cast<RealType>(3.5538752625241790601377L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis excess:
            kurtosis_excess(dist)
-           , static_cast<RealType>(0.5538752625241790601377L), tol1000);
+           , static_cast<RealType>(0.5538752625241790601377L), tol100);
 
         BOOST_CHECK_CLOSE(
           pdf(dist, static_cast<RealType>(0.4L)),
           static_cast<RealType>(0.294140110156599539564571L),
-          tol100);
+          tol10);
 
         BOOST_CHECK_CLOSE(
           cdf(dist, static_cast<RealType>(0.4L)),
           static_cast<RealType>(0.7339186189278737976326676452L),
-          tol1000);
+          tol100);
 
         BOOST_CHECK_CLOSE(
           quantile(dist, static_cast<RealType>(0.3L)),
           static_cast<RealType>(-1.180104068086875314419247L),
-          tol1000);
+          tol100);
 
 
       { // mode tests
 
-        skew_normal_distribution<RealType> dist(static_cast<RealType>(0.l), static_cast<RealType>(1.l), static_cast<RealType>(4.l));
+           dist = skew_normal_distribution<RealType>(static_cast<RealType>(0.l), static_cast<RealType>(1.l), static_cast<RealType>(4.l));
 
        // cout << "pdf(dist, 0) = " << pdf(dist, 0) <<  ", pdf(dist, 0.45) = " << pdf(dist, 0.45) << endl;
        // BOOST_CHECK_CLOSE(mode(dist), boost::math::constants::root_two<RealType>() / 2, tol5);
-        BOOST_CHECK_CLOSE(mode(dist), static_cast<RealType>(0.41697299497388863932L), tol1000);
+        BOOST_CHECK_CLOSE(mode(dist), static_cast<RealType>(0.41697299497388863932L), tol100);
       }
 
 
       }
       {
-        skew_normal_distribution<RealType> dist(static_cast<RealType>(1.1l), static_cast<RealType>(0.02l), static_cast<RealType>(0.03l));
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(0.02l), static_cast<RealType>(0.03l));
 
         BOOST_CHECK_CLOSE(      // mean:
            mean(dist)
-           , static_cast<RealType>(1.1004785154529557886162L), tol100);
+           , static_cast<RealType>(1.1004785154529557886162L), tol10);
         BOOST_CHECK_CLOSE(      // variance:
           variance(dist)
-           , static_cast<RealType>(0.00039977102296128251645L), tol100);
+           , static_cast<RealType>(0.00039977102296128251645L), tol10);
 
         BOOST_CHECK_CLOSE(      // skewness:
            skewness(dist)
-           , static_cast<RealType>(5.8834811259890359782e-006L), tol1000);
+           , static_cast<RealType>(5.8834811259890359782e-006L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis:
            kurtosis(dist)
-           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol1000);
+           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis excess:
            kurtosis_excess(dist)
-           , static_cast<RealType>(9.2903475812137800239002e-008L), tol1000);
+           , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
       }
       {
-        skew_normal_distribution<RealType> dist(static_cast<RealType>(10.1l), static_cast<RealType>(5.l), static_cast<RealType>(-0.03l));
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(10.1l), static_cast<RealType>(5.l), static_cast<RealType>(-0.03l));
         BOOST_CHECK_CLOSE(      // mean:
            mean(dist)
-           , static_cast<RealType>(9.9803711367610528459485937L), tol100);
+           , static_cast<RealType>(9.9803711367610528459485937L), tol10);
         BOOST_CHECK_CLOSE(      // variance:
           variance(dist)
-           , static_cast<RealType>(24.98568893508015727823L), tol100);
+           , static_cast<RealType>(24.98568893508015727823L), tol10);
 
         BOOST_CHECK_CLOSE(      // skewness:
            skewness(dist)
-           , static_cast<RealType>(-5.8834811259890359782085e-006L), tol1000);
+           , static_cast<RealType>(-5.8834811259890359782085e-006L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis:
            kurtosis(dist)
-           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol1000);
+           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis excess:
            kurtosis_excess(dist)
-           , static_cast<RealType>(9.2903475812137800239002e-008L), tol1000);
+           , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
       }
       {
-        skew_normal_distribution<RealType> dist(static_cast<RealType>(-10.1l), static_cast<RealType>(5.l), static_cast<RealType>(30.l));
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(-10.1l), static_cast<RealType>(5.l), static_cast<RealType>(30.l));
         BOOST_CHECK_CLOSE(      // mean:
            mean(dist)
-           , static_cast<RealType>(-6.11279169674138408531365L), 2 * tol100);
+           , static_cast<RealType>(-6.11279169674138408531365L), 2 * tol10);
         BOOST_CHECK_CLOSE(      // variance:
           variance(dist)
-          , static_cast<RealType>(9.10216994642554914628242L), tol100 * 2);
+          , static_cast<RealType>(9.10216994642554914628242L), tol10 * 2);
 
         BOOST_CHECK_CLOSE(      // skewness:
            skewness(dist)
-           , static_cast<RealType>(0.99072425443686904424L), tol1000);
+           , static_cast<RealType>(0.99072425443686904424L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis:
            kurtosis(dist)
-           , static_cast<RealType>(3.L + 0.8638862008406084244563L), tol1000);
+           , static_cast<RealType>(3.L + 0.8638862008406084244563L), tol100);
         BOOST_CHECK_CLOSE(      // kurtosis excess:
            kurtosis_excess(dist)
-           , static_cast<RealType>(0.8638862008406084244563L), tol1000);
+           , static_cast<RealType>(0.8638862008406084244563L), tol100);
       }
 
       BOOST_CHECK_THROW(cdf(skew_normal_distribution<RealType>(0, 0, 0), 0), std::domain_error);
diff --git a/libs/math/test/test_trig.cpp b/libs/math/test/test_trig.cpp
new file mode 100644
index 000000000..142910c81
--- /dev/null
+++ b/libs/math/test/test_trig.cpp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2014.
+//  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 <pch_light.hpp>
+#include "test_trig.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions sin_pi, cos_pi, with test data
+// generated at high precision naively using sin(pi*x) rather than
+// our routines.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 1);                   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   expected_results();
+
+   test_trig(0.1F, "float");
+   test_trig(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_trig(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_trig(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::cout;
+#endif
+}
+
diff --git a/libs/math/test/test_trig.hpp b/libs/math/test/test_trig.hpp
new file mode 100644
index 000000000..c3b1887ca
--- /dev/null
+++ b/libs/math/test/test_trig.hpp
@@ -0,0 +1,81 @@
+// Copyright John Maddock 2014.
+//  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 <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_trig(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sin_pi<value_type>;
+#else
+   pg funcp = boost::math::sin_pi;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sin_pi against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::sin_pi", test_name);
+   //
+   // test cos_pi against data:
+   //
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::cos_pi<value_type>;
+#else
+   funcp = boost::math::cos_pi;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::cos_pi", test_name);
+   std::cout << std::endl;
+}
+
+template <class T>
+void test_trig(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "trig_data.ipp"
+
+   do_test_trig<T>(trig_data, name, "sin_pi and cos_pi");
+
+#  include "trig_data2.ipp"
+
+   do_test_trig<T>(trig_data2, name, "sin_pi and cos_pi near integers and half integers");
+}
+
diff --git a/libs/math/test/test_trigamma.cpp b/libs/math/test/test_trigamma.cpp
new file mode 100644
index 000000000..9e471dc1c
--- /dev/null
+++ b/libs/math/test/test_trigamma.cpp
@@ -0,0 +1,56 @@
+//  (C) Copyright John Maddock 2014.
+//  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 <pch_light.hpp>
+#include "test_trigamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 20, 10);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_trigamma(0.0F, "float");
+   test_trigamma(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_trigamma(0.0L, "long double");
+   test_trigamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+}
+
diff --git a/libs/math/test/test_trigamma.hpp b/libs/math/test/test_trigamma.hpp
new file mode 100644
index 000000000..9535bbba8
--- /dev/null
+++ b/libs/math/test/test_trigamma.hpp
@@ -0,0 +1,74 @@
+// Copyright John Maddock 2014
+//  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_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#ifndef BOOST_FLOAT128_C
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#else
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
+#endif
+#endif
+
+template <class Real, class T>
+void do_test_trigamma(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::trigamma<value_type>;
+#else
+   pg funcp = boost::math::trigamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test trigamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::trigamma", test_name);
+   std::cout << std::endl;
+}
+
+template <class T>
+void test_trigamma(T, const char* name)
+{
+   typedef typename table_type<T>::type value_type;
+
+   boost::array<boost::array<value_type, 3>, 659> data =
+   { { 
+      { SC_(1.0), SC_(1.6449340668482264364724151666460252) }, { SC_(2.0), SC_(0.64493406684822643647241516664602519) }, { SC_(3.0), SC_(0.39493406684822643647241516664602519) }, { SC_(4.0), SC_(0.28382295573711532536130405553491408) }, { SC_(5.0), SC_(0.22132295573711532536130405553491408) }, { SC_(6.0), SC_(0.18132295573711532536130405553491408) }, { SC_(7.0), SC_(0.15354517795933754758352627775713630) }, { SC_(8.0), SC_(0.13313701469403142513454668592040161) }, { SC_(9.0), SC_(0.11751201469403142513454668592040161) }, { SC_(10.0), SC_(0.10516633568168574612220100690805593) }, { SC_(11.0), SC_(0.095166335681685746122201006908055927) }, { SC_(12.0), SC_(0.086901872871768390750300180461774936) }, { SC_(13.0), SC_(0.079957428427323946305855736017330491) }, { SC_(14.0), SC_(0.074040268664010336838400114715555343) }, { SC_(15.0), SC_(0.068938227847683806226155216756371670) }, { SC_(16.0), SC_(0.064493783403239361781710772311927225) }, { SC_(17.0), SC_(0.060587533403239361781710772311927225) }, { SC_(18.0), SC_(0.057127325790782614376866481654487779) }, { SC_(19.0), SC_(0.054040906037696194623780061901401359) }, { SC_(20.0), SC_(0.051270822935203119831536294588381969) }, { SC_(21.0), SC_(0.048770822935203119831536294588381969) }, { SC_(22.0), SC_(0.046503249239057995114983006606522558) }, { SC_(23.0), SC_(0.044437133536578656272007799994952310) }, { SC_(24.0), SC_(0.042546774368336690298472828350339834) }, { SC_(25.0), SC_(0.040810663257225579187361717239228723) }, { SC_(26.0), SC_(0.039210663257225579187361717239228723) }, { SC_(27.0), SC_(0.037731373316397176820497811913784936) }, { SC_(28.0), SC_(0.036359631203914323596903847579079860) }, { SC_(29.0), SC_(0.035084120999832690943842623089283942) }, { SC_(30.0), SC_(0.033895060357739944213759388844337450) }, { SC_(31.0), SC_(0.032783949246628833102648277733226339) }, { SC_(32.0), SC_(0.031743366520302090126581680438741427) }, { SC_(33.0), SC_(0.030766804020302090126581680438741427) }, { SC_(34.0), SC_(0.029848530374755717307481588611376873) }, { SC_(35.0), SC_(0.028983478471641530456270515947017011) }, { SC_(36.0), SC_(0.028167151941029285558311332273547623) }, { SC_(37.0), SC_(0.027395547002757680620039727335276018) }, { SC_(38.0), SC_(0.026665086812838031240930888766977990) }, { SC_(39.0), SC_(0.025972566037214762542869946938723143) }, { SC_(40.0), SC_(0.025315103841291028157597100127414793) }, { SC_(41.0), SC_(0.024690103841291028157597100127414793) }, { SC_(42.0), SC_(0.024095219843670564148078956165487369) }, { SC_(43.0), SC_(0.023528326419634282968940634170022516) }, { SC_(44.0), SC_(0.022987493536995018501661023569698017) }, { SC_(45.0), SC_(0.022470964611375183790917221916805455) }, { SC_(46.0), SC_(0.021977137450881356630423394756311627) }, { SC_(47.0), SC_(0.021504547658820865137039651845158508) }, { SC_(48.0), SC_(0.021051854132338293837809230840178880) }, { SC_(49.0), SC_(0.020617826354560516060031453062401102) }, { SC_(50.0), SC_(0.020201333226697125805970645065733047) }, { SC_(51.0), SC_(0.019801333226697125805970645065733047) }, { SC_(52.0), SC_(0.019416865714201931649876834992684219) }, { SC_(53.0), SC_(0.019047043228994831058160858661323273) }, { SC_(54.0), SC_(0.018691044652989135080944767525687815) }, { SC_(55.0), SC_(0.018348109124868421775046276442011546) }, { SC_(56.0), SC_(0.018017530612471727560170243384160307) }, { SC_(57.0), SC_(0.017698653061451319396904937261711327) }, { SC_(58.0), SC_(0.017390866050063199975544518671375839) }, { SC_(59.0), SC_(0.017093600889540013293023710110139216) }, { SC_(60.0), SC_(0.016806327117635388185296045645904801) }, { SC_(61.0), SC_(0.016528549339857610407518267868127023) }, { SC_(62.0), SC_(0.016259804378825629757155462170733849) }, { SC_(63.0), SC_(0.015999658697243944013138812847112621) }, { SC_(64.0), SC_(0.015747706064338930155744003071350465) }, { SC_(65.0), SC_(0.015503565439338930155744003071350465) }, { SC_(66.0), SC_(0.015266879048806385777045778219279459) }, { SC_(67.0), SC_(0.015037310637419792572270755262438320) }, { SC_(68.0), SC_(0.014814543874220861852734110129892096) }, { SC_(69.0), SC_(0.014598280898442315139931341963802130) }, { SC_(70.0), SC_(0.014388240990859874476205234003289633) }, { SC_(71.0), SC_(0.014184159358206813251715438084922286) }, { SC_(72.0), SC_(0.013985786019583524221761063952805643) }, { SC_(73.0), SC_(0.013792884785015622987193162718237741) }, { SC_(74.0), SC_(0.013605232317385673653359422804557876) }, { SC_(75.0), SC_(0.013422617269905761308582213162483370) }, { SC_(76.0), SC_(0.013244839492127983530804435384705592) }, { SC_(77.0), SC_(0.013071709298222166356289199927641880) }, { SC_(78.0), SC_(0.012903046791897322369107550408330023) }, { SC_(79.0), SC_(0.012738681242916388772789338705502935) }, { SC_(80.0), SC_(0.012578450510661942369969277817824679) }, { SC_(81.0), SC_(0.012422200510661942369969277817824679) }, { SC_(82.0), SC_(0.012269784720386069789569948447301893) }, { SC_(83.0), SC_(0.012121063720980953787190412456820037) }, { SC_(84.0), SC_(0.011975904771931744903462730645236352) }, { SC_(85.0), SC_(0.011834181415922674608678150146370139) }, { SC_(86.0), SC_(0.011695773111424404712484378520072561) }, { SC_(87.0), SC_(0.011560564890764588595664475869991436) }, { SC_(88.0), SC_(0.011428447041643172292321894287219604) }, { SC_(89.0), SC_(0.011299314810238213614635943873996463) }, { SC_(90.0), SC_(0.011173068124213721757547192453721246) }, { SC_(91.0), SC_(0.011049611334090264967423735663597789) }, { SC_(92.0), SC_(0.010928852971573660692577702575806459) }, { SC_(93.0), SC_(0.010810705523558537819231766848018180) }, { SC_(94.0), SC_(0.010695085220633344155224367148630967) }, { SC_(95.0), SC_(0.010581911839012701330416761897386060) }, { SC_(96.0), SC_(0.010471108514912978338727011204865284) }, { SC_(97.0), SC_(0.010362601570468533894282566760420840) }, { SC_(98.0), SC_(0.010256320350360127049771991779020053) }, { SC_(99.0), SC_(0.010152197068394279486256789779853040) }, { SC_(100.0), SC_(0.010050166663333571395245668465701423) }, { SC_(101.0), SC_(0.0099501666633335713952456684657014225) }, { SC_(102.0), SC_(0.0098521370583928793062347871795530057) }, { SC_(103.0), SC_(0.0097560201802690807672113346612907989) }, { SC_(104.0), SC_(0.0096617605893557053312607266869294076) }, { SC_(105.0), SC_(0.0095693049680539301833317326040891709) }, { SC_(106.0), SC_(0.0094786020202081251946696010848147945) }, { SC_(107.0), SC_(0.0093896023762067012003655783009059301) }, { SC_(108.0), SC_(0.0093022585033793800369451922409880334) }, { SC_(109.0), SC_(0.0092165246213492017104705694700689662) }, { SC_(110.0), SC_(0.0091323566220225457050838175131629818) }, { SC_(111.0), SC_(0.0090497119939233721513648092487001719) }, { SC_(112.0), SC_(0.0089685497505989666647971605188892799) }, { SC_(113.0), SC_(0.0088888303628438646239808339882770350) }, { SC_(114.0), SC_(0.0088105156945064850327834027093985011) }, { SC_(115.0), SC_(0.0087335689416594551774432980618146291) }, { SC_(116.0), SC_(0.0086579545749297765385018991960301301) }, { SC_(117.0), SC_(0.0085836382847989798678716970557209743) }, { SC_(118.0), SC_(0.0085105869296963427139524918544644910) }, { SC_(119.0), SC_(0.0084387684867201864370205757384058871) }, { SC_(120.0), SC_(0.0083681520048333140410033453168254903) }, { SC_(121.0), SC_(0.0082987075603888695965589008723810458) }, { SC_(122.0), SC_(0.0082304062148523625273696378438993847) }, { SC_(123.0), SC_(0.0081632199745943673647789364195510913) }, { SC_(124.0), SC_(0.0080971217526365380303880315348924886) }, { SC_(125.0), SC_(0.0080320853322411165943838692039871816) }, { SC_(126.0), SC_(0.0079680853322411165943838692039871816) }, { SC_(127.0), SC_(0.0079050971740148631300351667600466424) }, { SC_(128.0), SC_(0.0078430970500146151295391657680446584) }, { SC_(129.0), SC_(0.0077820618937646151295391657680446584) }, { SC_(130.0), SC_(0.0077219693512491412998414312568974918) }, { SC_(131.0), SC_(0.0076627977536160052051668750438797403) }, { SC_(132.0), SC_(0.0076045260911254743503215863077920997) }, { SC_(133.0), SC_(0.0075471339882788260491278305685818151) }, { SC_(134.0), SC_(0.0074906016800646816656126516438263173) }, { SC_(135.0), SC_(0.0074349099892649489857284903606897613) }, { SC_(136.0), SC_(0.0073800403047656348567847317873015583) }, { SC_(137.0), SC_(0.0073259745608209981785840397457790669) }, { SC_(138.0), SC_(0.0072726952172225113119422367727916941) }, { SC_(139.0), SC_(0.0072201852403269011460107097826635698) }, { SC_(140.0), SC_(0.0071684280849001633995172570628250521) }, { SC_(141.0), SC_(0.0071174076767368980933948080832332154) }, { SC_(142.0), SC_(0.0070671083960166123934803168604577010) }, { SC_(143.0), SC_(0.0070175150613607901359917233274285402) }, { SC_(144.0), SC_(0.0069686129145565454296491148869180018) }, { SC_(145.0), SC_(0.0069203876059145701210071395782760264) }, { SC_(146.0), SC_(0.0068728251802308602518038102084781668) }, { SC_(147.0), SC_(0.0068259120633233729183453752300582005) }, { SC_(148.0), SC_(0.0067796350491163295567830632304284166) }, { SC_(149.0), SC_(0.0067339812872463514705887608199097899) }, { SC_(150.0), SC_(0.0066889382711659947299014043945235460) }, { SC_(151.0), SC_(0.0066444938267215502854569599500791016) }, { SC_(152.0), SC_(0.0066006361011831967044736697435092143) }, { SC_(153.0), SC_(0.0065573535527067424108448608792432863) }, { SC_(154.0), SC_(0.0065146349402072763935011042044600833) }, { SC_(155.0), SC_(0.0064724693136260653967056918246321191) }, { SC_(156.0), SC_(0.0064308460045729956776630279328527226) }, { SC_(157.0), SC_(0.0063897546173277622785834750071459507) }, { SC_(158.0), SC_(0.0063491850201838619175140604264327372) }, { SC_(159.0), SC_(0.0063091273371202503168090452045131730) }, { SC_(160.0), SC_(0.0062695719397862840971183684116647889) }, { SC_(161.0), SC_(0.0062305094397862840971183684116647889) }, { SC_(162.0), SC_(0.0061919306812507337711278587862645343) }, { SC_(163.0), SC_(0.0061538267336817656260280264436338377) }, { SC_(164.0), SC_(0.0061161888850611927779720213248864253) }, { SC_(165.0), SC_(0.0060790086352099137773771373272659613) }, { SC_(166.0), SC_(0.0060422776893880588646131336541713791) }, { SC_(167.0), SC_(0.0060059879521257566436812132012754581) }, { SC_(168.0), SC_(0.0059701315212748835395899944411908369) }, { SC_(169.0), SC_(0.0059347006822726159658938493164742836) }, { SC_(170.0), SC_(0.0058996879026080383950805024448661467) }, { SC_(171.0), SC_(0.0058650858264834709210320595382917522) }, { SC_(172.0), SC_(0.0058308872696625687631031241393655869) }, { SC_(173.0), SC_(0.0057970852144976147338981484768453056) }, { SC_(174.0), SC_(0.0057636728051287751468755282757026012) }, { SC_(175.0), SC_(0.0057306433428484210710398828800096431) }, { SC_(176.0), SC_(0.0056979902816239312751215155330708676) }, { SC_(177.0), 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+      { SC_(-0.5000000000), SC_(8.9348022005446793094172454999380756) }, { SC_(-1.500000000), SC_(9.3792466449891237538616899443825200) }, { SC_(-2.500000000), SC_(9.5392466449891237538616899443825200) }, { SC_(-3.500000000), SC_(9.6208792980503482436576083117294588) }, { SC_(-4.500000000), SC_(9.6702620140997309597069910277788415) }, { SC_(-5.500000000), SC_(9.7033198653394003811945943335639655) }, { SC_(-6.500000000), SC_(9.7269885043926548190644168187710661) }, { SC_(-7.500000000), SC_(9.7447662821704325968421945965488438) }, { SC_(-8.500000000), SC_(9.7586071126202595864615717591786016) }, { SC_(-9.500000000), SC_(9.7696874450302318856305468284306792) }, { SC_(-10.50000000), SC_(9.7787577398148123844967599803581168) }, { SC_(-11.50000000), SC_(9.7863191764877802483908998669365667) }, { SC_(-12.50000000), SC_(9.7927191764877802483908998669365667) }, { SC_(-13.50000000), SC_(9.7982061449377116612852757242753870) }, { SC_(-14.50000000), SC_(9.8029623875060826482056086612551730) }, { SC_(-15.50000000), SC_(9.8071247184113896201098750504331127) }, { SC_(-16.50000000), SC_(9.8107978129935751113862754177425709) }, { SC_(-17.50000000), SC_(9.8140631191160240909781121524364484) }, { SC_(-18.50000000), SC_(9.8169849598757026884945475067096405) }, { SC_(-19.50000000), SC_(9.8196148086593976260356388939548739) },
+      { SC_(-0.99902343750000000000000000000000000), SC_(1.0485786445453819054093666757806164e6) }, { SC_(-1.9990234375000000000000000000000000), SC_(1.0485788947897014608301106052600290e6) }, { SC_(-2.9990234375000000000000000000000000), SC_(1.0485790059731858715118158380121717e6) }, { SC_(-3.9990234375000000000000000000000000), SC_(1.0485790685037146291468005792240191e6) }, { SC_(-4.9990234375000000000000000000000000), SC_(1.0485791085193442079759033312640482e6) }, { SC_(-5.9990234375000000000000000000000000), SC_(1.0485791363061664391826604906353499e6) }, { SC_(-6.9990234375000000000000000000000000), SC_(1.0485791567200251382893770121774963e6) }, { SC_(-7.9990234375000000000000000000000000), SC_(1.0485791723488405341606371612842196e6) }, { SC_(-8.9990234375000000000000000000000000), SC_(1.0485791846971991664479297252200281e6) }, { SC_(-9.9990234375000000000000000000000000), SC_(1.0485791946991525775874820980861239e6) }, { SC_(-10.999023437500000000000000000000000), SC_(1.0485792029650829946601990955306663e6) }, { SC_(-11.999023437500000000000000000000000), SC_(1.0485792099106578577646272234105154e6) }, { SC_(-12.999023437500000000000000000000000), SC_(1.0485792158287067176193079741367670e6) }, { SC_(-13.999023437500000000000000000000000), SC_(1.0485792209314593886753540118883170e6) }, { SC_(-14.999023437500000000000000000000000), SC_(1.0485792253764825933424418561922499e6) }, { SC_(-15.999023437500000000000000000000000), SC_(1.0485792292832094741599436510420027e6) }, { SC_(-16.999023437500000000000000000000000), SC_(1.0485792327438146631093348182751076e6) }, { SC_(-17.999023437500000000000000000000000), SC_(1.0485792358305693414284737055180265e6) }, { SC_(-18.999023437500000000000000000000000), SC_(1.0485792386009372194851110066962854e6) }, { SC_(-19.999023437500000000000000000000000), SC_(1.0485792411011813779926686635901794e6) },
+      { SC_(-1.0009765625000000000000000000000000), SC_(1.0485786453346669585098368000725210e6)}, { SC_(-2.0009765625000000000000000000000000), SC_(1.0485788950907050310998538089289880e6) }, { SC_(-3.0009765625000000000000000000000000), SC_(1.0485790061295134851948027406034007e6) }, { SC_(-4.0009765625000000000000000000000000), SC_(1.0485790685990070793038292171104670e6) }, { SC_(-5.0009765625000000000000000000000000), SC_(1.0485791085833866557487460417106589e6) }, { SC_(-6.0009765625000000000000000000000000), SC_(1.0485791363521243952566116253382220e6) }, { SC_(-7.0009765625000000000000000000000000), SC_(1.0485791567545946099550113256489222e6) }, { SC_(-8.0009765625000000000000000000000000), SC_(1.0485791723757806110676477942302156e6) }, { SC_(-9.0009765625000000000000000000000000), SC_(1.0485791847187808756018779739003157e6) }, { SC_(-10.000976562500000000000000000000000), SC_(1.0485791947168280366669245397313590e6) }, { SC_(-11.000976562500000000000000000000000), SC_(1.0485792029798236302523575048817360e6) }, { SC_(-12.000976562500000000000000000000000), SC_(1.0485792099231379319842508274674963e6) }, { SC_(-13.000976562500000000000000000000000), SC_(1.0485792158394087991015231685011609e6) }, { SC_(-14.000976562500000000000000000000000), SC_(1.0485792209407379096480891892744762e6) }, { SC_(-15.000976562500000000000000000000000), SC_(1.0485792253846037068979581619480639e6) }, { SC_(-16.000976562500000000000000000000000), SC_(1.0485792292903769133919482794005111e6) }, { SC_(-17.000976562500000000000000000000000), SC_(1.0485792327501870178663179616292787e6) }, { SC_(-18.000976562500000000000000000000000), SC_(1.0485792358362719002281530732844340e6) }, { SC_(-19.000976562500000000000000000000000), SC_(1.0485792386060702710649859237414384e6) }, { SC_(-20.000976562500000000000000000000000), SC_(1.0485792411058261483202152741904670e6) },
+   } };
+   do_test_trigamma<T>(data, name, "Mathematica Data");
+}
+
diff --git a/libs/math/test/test_zeta.cpp b/libs/math/test/test_zeta.cpp
index bd8713d4f..8683b7c78 100644
--- a/libs/math/test/test_zeta.cpp
+++ b/libs/math/test/test_zeta.cpp
@@ -67,8 +67,15 @@ void expected_results()
       ".*",                          // stdlib
       ".*",                          // platform
       largest_type,                  // test type(s)
+      ".*Integer.*",                 // test data group
+      ".*", 30, 15);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
       ".*",                          // test data group
-      ".*", 3, 1);                   // test function
+      ".*", 3, 3);                   // test function
    add_expected_result(
       ".*",                          // compiler
       ".*",                          // stdlib
diff --git a/libs/math/test/test_zeta.hpp b/libs/math/test/test_zeta.hpp
index d70abd442..a93bfd09d 100644
--- a/libs/math/test/test_zeta.hpp
+++ b/libs/math/test/test_zeta.hpp
@@ -79,6 +79,12 @@ void test_zeta(T, const char* name)
    do_test_zeta<T>(zeta_1_up_data, name, "Zeta: Values close to and greater than 1");
 #include "zeta_1_below_data.ipp"
    do_test_zeta<T>(zeta_1_below_data, name, "Zeta: Values close to and less than 1");
+
+   boost::array<boost::array<T, 2>, 90> integer_data = { {
+      { 2, SC_(1.6449340668482264364724151666460252) }, { 3, SC_(1.2020569031595942853997381615114500) }, { 4, SC_(1.0823232337111381915160036965411679) }, { 5, SC_(1.0369277551433699263313654864570342) }, { 6, SC_(1.0173430619844491397145179297909205) }, { 7, SC_(1.0083492773819228268397975498497968) }, { 8, SC_(1.0040773561979443393786852385086525) }, { 9, SC_(1.0020083928260822144178527692324121) }, { SC_(10.0), SC_(1.0009945751278180853371459589003190) }, { SC_(11.0), SC_(1.0004941886041194645587022825264699) }, { SC_(12.0), SC_(1.0002460865533080482986379980477397) }, { SC_(13.0), SC_(1.0001227133475784891467518365263574) }, { SC_(14.0), SC_(1.0000612481350587048292585451051353) }, { SC_(15.0), SC_(1.0000305882363070204935517285106451) }, { SC_(16.0), SC_(1.0000152822594086518717325714876367) }, { SC_(17.0), SC_(1.0000076371976378997622736002935630) }, { SC_(18.0), SC_(1.0000038172932649998398564616446219) }, { SC_(19.0), SC_(1.0000019082127165539389256569577951) }, { SC_(20.0), SC_(1.0000009539620338727961131520386834) }, { SC_(21.0), SC_(1.0000004769329867878064631167196044) }, { SC_(22.0), SC_(1.0000002384505027277329900036481868) }, { SC_(23.0), SC_(1.0000001192199259653110730677887189) }, { SC_(24.0), SC_(1.0000000596081890512594796124402079) }, { SC_(25.0), SC_(1.0000000298035035146522801860637051) }, { SC_(26.0), SC_(1.0000000149015548283650412346585066) }, { SC_(27.0), SC_(1.0000000074507117898354294919810042) }, { SC_(28.0), SC_(1.0000000037253340247884570548192040) }, { SC_(29.0), SC_(1.0000000018626597235130490064039099) }, { SC_(30.0), SC_(1.0000000009313274324196681828717647) }, { SC_(31.0), SC_(1.0000000004656629065033784072989233) }, { SC_(32.0), SC_(1.0000000002328311833676505492001456) }, { SC_(33.0), SC_(1.0000000001164155017270051977592974) }, { SC_(34.0), SC_(1.0000000000582077208790270088924369) }, { SC_(35.0), SC_(1.0000000000291038504449709968692943) }, { SC_(36.0), SC_(1.0000000000145519218910419842359296) }, { SC_(37.0), SC_(1.0000000000072759598350574810145209) }, { SC_(38.0), SC_(1.0000000000036379795473786511902372) }, { SC_(39.0), SC_(1.0000000000018189896503070659475848) }, { SC_(40.0), SC_(1.0000000000009094947840263889282533) }, { SC_(41.0), SC_(1.0000000000004547473783042154026799) }, { SC_(42.0), SC_(1.0000000000002273736845824652515227) }, { SC_(43.0), SC_(1.0000000000001136868407680227849349) }, { SC_(44.0), SC_(1.0000000000000568434198762758560928) }, { SC_(45.0), SC_(1.0000000000000284217097688930185546) }, { SC_(46.0), SC_(1.0000000000000142108548280316067698) }, { SC_(47.0), SC_(1.0000000000000071054273952108527129) }, { SC_(48.0), SC_(1.0000000000000035527136913371136733) }, { SC_(49.0), SC_(1.0000000000000017763568435791203275) }, { SC_(50.0), SC_(1.0000000000000008881784210930815903) }, { SC_(51.0), SC_(1.0000000000000004440892103143813364) }, { SC_(52.0), SC_(1.0000000000000002220446050798041984) }, { SC_(53.0), SC_(1.0000000000000001110223025141066134) }, { SC_(54.0), SC_(1.0000000000000000555111512484548124) }, { SC_(55.0), SC_(1.0000000000000000277555756213612417) }, { SC_(56.0), SC_(1.0000000000000000138777878097252328) }, { SC_(57.0), SC_(1.0000000000000000069388939045441537) }, { SC_(58.0), SC_(1.0000000000000000034694469521659226) }, { SC_(59.0), SC_(1.0000000000000000017347234760475766) }, { SC_(60.0), SC_(1.0000000000000000008673617380119934) },
+      { SC_(-61.0), SC_(-3.3066089876577576725680214670439210e34) }, { SC_(-59.0), SC_(3.5666582095375556109684574608651829e32) }, { SC_(-57.0), SC_(-4.1147288792557978697665486067619336e30) }, { SC_(-55.0), SC_(5.0890659468662289689766332915911925e28) }, { SC_(-53.0), SC_(-6.7645882379292820990945242301798478e26) }, { SC_(-51.0), SC_(9.6899578874635940656497942894654088e24) }, { SC_(-49.0), SC_(-1.5001733492153928733711440151515152e23) }, { SC_(-47.0), SC_(2.5180471921451095697089023320225526e21) }, { SC_(-45.0), SC_(-4.5979888343656503490437943262411348e19) }, { SC_(-43.0), SC_(9.1677436031953307756992753623188406e17) }, { SC_(-41.0), SC_(-2.0040310656516252738108421663238939e16) }, { SC_(-39.0), SC_(4.8241448354850170371581670362158167e14) }, { SC_(-37.0), SC_(-1.2850850499305083333333333333333333e13) }, { SC_(-35.0), SC_(3.8087931125245368811553022079337869e11) }, { SC_(-33.0), SC_(-1.2635724795916666666666666666666667e10) }, { SC_(-31.0), SC_(4.7238486772162990196078431372549020e8) }, { SC_(-29.0), SC_(-2.0052695796688078946143462272494531e7) }, { SC_(-27.0), SC_(974936.82385057471264367816091954023) }, { SC_(-25.0), SC_(-54827.583333333333333333333333333333) }, { SC_(-23.0), SC_(3607.5105463980463980463980463980464) }, { SC_(-21.0), SC_(-281.46014492753623188405797101449275) }, { SC_(-19.0), SC_(26.456212121212121212121212121212121) }, { SC_(-17.0), SC_(-3.0539543302701197438039543302701197) }, { SC_(-15.0), SC_(0.44325980392156862745098039215686275) }, { SC_(-13.0), SC_(-0.083333333333333333333333333333333333) }, { SC_(-11.0), SC_(0.021092796092796092796092796092796093) }, { -9, SC_(-0.0075757575757575757575757575757575758) }, { -7, SC_(0.0041666666666666666666666666666666667) }, { -5, SC_(-0.0039682539682539682539682539682539683) }, { -3, SC_(0.0083333333333333333333333333333333333) }, { -1, SC_(-0.083333333333333333333333333333333333) }
+   } };
+   do_test_zeta<T>(integer_data, name, "Zeta: Integer arguments");
 }
 
 extern "C" double zetac(double);
diff --git a/libs/math/test/trig_data.ipp b/libs/math/test/trig_data.ipp
new file mode 100644
index 000000000..406fde947
--- /dev/null
+++ b/libs/math/test/trig_data.ipp
@@ -0,0 +1,421 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 414> trig_data = {{
+      { SC_(-3.9774532318115234375000000000000000000000e+00), SC_(7.0773544860026243860279929113278325110375e-02), SC_(9.9749240866682582129171337066426038082437e-01) }, 
+      { SC_(-3.9617328643798828125000000000000000000000e+00), SC_(1.1993037621708977961146677085715171980751e-01), SC_(9.9278230486870952597534166945986069243176e-01) }, 
+      { SC_(-3.9047842025756835937500000000000000000000e+00), SC_(2.9468823519354637105911947101495882286179e-01), SC_(9.5559345123253806128916838776381320091963e-01) }, 
+      { SC_(-3.8916873931884765625000000000000000000000e+00), SC_(3.3374547909601862041893513083013201963857e-01), SC_(9.4266322469001038147288152092736823391568e-01) }, 
+      { SC_(-3.8578090667724609375000000000000000000000e+00), SC_(4.3199709903403737307912472091970588030864e-01), SC_(9.0187499490016691899377344383391047319671e-01) }, 
+      { SC_(-3.7453374862670898437500000000000000000000e+00), SC_(7.1738805664233213419617848590715510878805e-01), SC_(6.9667379467505311174160335392136633824863e-01) }, 
+      { SC_(-3.7244319915771484375000000000000000000000e+00), SC_(7.6156366259470177260070281063647817588426e-01), SC_(6.4809010779006898537856851402643268133964e-01) }, 
+      { SC_(-3.7143068313598632812500000000000000000000e+00), SC_(7.8179011765786965192070724412252980346206e-01), SC_(6.2354166816059239705031197761170482474277e-01) }, 
+      { SC_(-3.7084703445434570312500000000000000000000e+00), SC_(7.9309123554739645631663479916579239803262e-01), SC_(6.0910285838920844088315459958697481264632e-01) }, 
+      { SC_(-3.6306295394897460937500000000000000000000e+00), SC_(9.1696736941200755880066612020982424508209e-01), SC_(3.9896220802680404308672276469459511697767e-01) }, 
+      { SC_(-3.5902690887451171875000000000000000000000e+00), SC_(9.6005749263309399424762040094854912358485e-01), SC_(2.7980280706071672819250833169767675946625e-01) }, 
+      { SC_(-3.5683994293212890625000000000000000000000e+00), SC_(9.7700131832151631709443635682201094394830e-01), SC_(2.1323326194104695723693260957232796074504e-01) }, 
+      { SC_(-3.4592370986938476562500000000000000000000e+00), SC_(9.9181146279384676289373069342215326327259e-01), SC_(-1.2771069755791767012021871220455601680871e-01) }, 
+      { SC_(-3.3931655883789062500000000000000000000000e+00), SC_(9.4420293088917725164777488803566691613860e-01), SC_(-3.2936427447476383305860665908806457784788e-01) }, 
+      { SC_(-3.2229461669921875000000000000000000000000e+00), SC_(6.4452819092715720460681805414890459455338e-01), SC_(-7.6458054585515448444199304174329276576484e-01) }, 
+      { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(6.3664172619341055705211898635086791126371e-01), SC_(-7.7115971916943020671267760720429588807288e-01) }, 
+      { SC_(-3.1211061477661132812500000000000000000000e+00), SC_(3.7135335780369037404310918499389657193681e-01), SC_(-9.2849161743546414936854741692037249771494e-01) }, 
+      { SC_(-3.1002845764160156250000000000000000000000e+00), SC_(3.0986713733563102476788873073830476308206e-01), SC_(-9.5077986789762286248285770175256182955887e-01) }, 
+      { SC_(-3.0480184555053710937500000000000000000000e+00), SC_(1.5028291058010493207025880578034599707430e-01), SC_(-9.8864303304457275939138181401436526701454e-01) }, 
+      { SC_(-2.9985380172729492187500000000000000000000e+00), SC_(-4.5929380467587678038943727972886926572694e-03), SC_(-9.9998945240442343165400505621385600628710e-01) }, 
+      { SC_(-2.9928274154663085937500000000000000000000e+00), SC_(-2.2531432037793477675469226940100283743575e-02), SC_(-9.9974613506145963677579891828378701312519e-01) }, 
+      { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-4.9911526865301578262897706703502998396013e-02), SC_(-9.9875364304015145795419227904280421041712e-01) }, 
+      { SC_(-2.9607505798339843750000000000000000000000e+00), SC_(-1.2299346485981660064237020203833067995992e-01), SC_(-9.9240748062566369342250467688663564344568e-01) }, 
+      { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-2.6028213071204756629425186005846465917215e-01), SC_(-9.6553260557683736103737209395477391945707e-01) }, 
+      { SC_(-2.8910045623779296875000000000000000000000e+00), SC_(-3.3576688840249427771925848349727492747208e-01), SC_(-9.4194511339701049149409128507465051072874e-01) }, 
+      { SC_(-2.8649091720581054687500000000000000000000e+00), SC_(-4.1177440566510667850464728538235996067571e-01), SC_(-9.1128581621747419851467502037941438628419e-01) }, 
+      { SC_(-2.8070888519287109375000000000000000000000e+00), SC_(-5.6962394780317258349095500647963019767726e-01), SC_(-8.2190544352080338079904161219679275645723e-01) }, 
+      { SC_(-2.8056478500366210937500000000000000000000e+00), SC_(-5.7333889774547421097781817548901513478394e-01), SC_(-8.1931831929476876961507584991747574097795e-01) }, 
+      { SC_(-2.7644929885864257812500000000000000000000e+00), SC_(-6.7418976093170810969556332422484681604555e-01), SC_(-7.3855816714382508099719065401369284800331e-01) }, 
+      { SC_(-2.7390956878662109375000000000000000000000e+00), SC_(-7.3091046787338668451145170450133524796388e-01), SC_(-6.8247336061791230280379473053114594954268e-01) }, 
+      { SC_(-2.7355394363403320312500000000000000000000e+00), SC_(-7.3848948635740579707953709312462199704324e-01), SC_(-6.7426499133469398680589790058582600474355e-01) }, 
+      { SC_(-2.6991062164306640625000000000000000000000e+00), SC_(-8.1066424743162907541066892533920219267801e-01), SC_(-5.8551129616439550978746461056239261291598e-01) }, 
+      { SC_(-2.6305065155029296875000000000000000000000e+00), SC_(-9.1712149632570388738239981145670570715552e-01), SC_(-3.9860777837029461434452340017415559695465e-01) }, 
+      { SC_(-2.6090793609619140625000000000000000000000e+00), SC_(-9.4185655472943839830579836290050447836428e-01), SC_(-3.3601522333547986304807314632542163159655e-01) }, 
+      { SC_(-2.5050191879272460937500000000000000000000e+00), SC_(-9.9987568381768953436701127766269045040788e-01), SC_(-1.5767590497845478262656414731631988934965e-02) }, 
+      { SC_(-2.4929447174072265625000000000000000000000e+00), SC_(-9.9975437034566987067580804393808517747219e-01), SC_(2.2163009153388271557271132253243652915113e-02) }, 
+      { SC_(-2.4272384643554687500000000000000000000000e+00), SC_(-9.7398753115843827533170990651639503684643e-01), SC_(2.2660160888195438795075340941984049712659e-01) }, 
+      { SC_(-2.3354558944702148437500000000000000000000e+00), SC_(-8.6934023639191873450982490002851733105284e-01), SC_(4.9421407647905260119880040102899169441924e-01) }, 
+      { SC_(-2.3183279037475585937500000000000000000000e+00), SC_(-8.4150156664834359869540818771524073982051e-01), SC_(5.4025467450859075039160413881361295523246e-01) }, 
+      { SC_(-2.3046054840087890625000000000000000000000e+00), SC_(-8.1743642279419458878430396216469861867532e-01), SC_(5.7601883188783919247059390170720375367970e-01) }, 
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+      { SC_(2.1241340637207031250000000000000000000000e+00), SC_(3.8016867992385600615924107152723370088748e-01), SC_(9.2491717186186608460538995036149309316917e-01) }, 
+      { SC_(2.1913366317749023437500000000000000000000e+00), SC_(5.6555144959238575986298051424240553269548e-01), SC_(8.2471301545686251460782779794050924721187e-01) }, 
+      { SC_(2.2311811447143554687500000000000000000000e+00), SC_(6.6409072491386110431221716662816882524076e-01), SC_(7.4765199731117047178284416396271497606128e-01) }, 
+      { SC_(2.2333374023437500000000000000000000000000e+00), SC_(6.6914010605322762479513348096476764142743e-01), SC_(7.4313627180421982616113592960004612209391e-01) }, 
+      { SC_(2.3376579284667968750000000000000000000000e+00), SC_(8.7273832759493568470846274321787972310865e-01), SC_(4.8818829517594409686222473986620551444155e-01) }, 
+      { SC_(2.3487806320190429687500000000000000000000e+00), SC_(8.8926086331413399471006293915063362270572e-01), SC_(4.5740039022480194691544525128597463590371e-01) }, 
+      { SC_(2.3517999649047851562500000000000000000000e+00), SC_(8.9355947075069965065490920875297802645467e-01), SC_(4.4894484319538579092387834408066355537480e-01) }, 
+      { SC_(2.3615989685058593750000000000000000000000e+00), SC_(9.0695444786248140377665977375260325926430e-01), SC_(4.2122871400518448160209063533603877707564e-01) }, 
+      { SC_(2.3782386779785156250000000000000000000000e+00), SC_(9.2772529803464095872112040596631014126442e-01), SC_(3.7326367541797662646784647430196344006644e-01) }, 
+      { SC_(2.3834285736083984375000000000000000000000e+00), SC_(9.3368761060044476921711548941438701101882e-01), SC_(3.5808860050444529143114408314332600529137e-01) }, 
+      { SC_(2.3848466873168945312500000000000000000000e+00), SC_(9.3527367258872278243326920322096935824487e-01), SC_(3.5392535563647114688274932903268095238901e-01) }, 
+      { SC_(2.4022436141967773437500000000000000000000e+00), SC_(9.5321098636962397016546799166066099108051e-01), SC_(3.0230583101264941654714139135400476632369e-01) }, 
+      { SC_(2.4602479934692382812500000000000000000000e+00), SC_(9.9221204663172793548513469089523554880392e-01), SC_(1.2456024453603865992531044703030770606574e-01) }, 
+      { SC_(2.4654035568237304687500000000000000000000e+00), SC_(9.9409927898231117057693037228057679279072e-01), SC_(1.0847406845347446518601579735745017867104e-01) }, 
+      { SC_(2.4778757095336914062500000000000000000000e+00), SC_(9.9758546444116512850079355986107988926734e-01), SC_(6.9449558211012868711701254228877324083109e-02) }, 
+      { SC_(2.5142784118652343750000000000000000000000e+00), SC_(9.9899409553284540256810561838332194308754e-01), SC_(-4.4841912208470250395938017310281418704264e-02) }, 
+      { SC_(2.5177888870239257812500000000000000000000e+00), SC_(9.9843881536284522828028348393187866490264e-01), SC_(-5.5856351266783040410469084720035114498915e-02) }, 
+      { SC_(2.5667257308959960937500000000000000000000e+00), SC_(9.7810900468525295373101076810092704203059e-01), SC_(-2.0809318814805979949884912276499020086767e-01) }, 
+      { SC_(2.5699672698974609375000000000000000000000e+00), SC_(9.7593918728194691849177504208954489276700e-01), SC_(-2.1804289194434414788759075840709254785401e-01) }, 
+      { SC_(2.5752258300781250000000000000000000000000e+00), SC_(9.7220405411897038987674094446364189936340e-01), SC_(-2.3413516855576842900574271401719103593906e-01) }, 
+      { SC_(2.5876626968383789062500000000000000000000e+00), SC_(9.6231637014349867626162609217881995793322e-01), SC_(-2.7193235142924949432619478747905995121995e-01) }, 
+      { SC_(2.6466283798217773437500000000000000000000e+00), SC_(8.9576523522202297669181665064798731910975e-01), SC_(-4.4452743826183985868905617130138276115396e-01) }, 
+      { SC_(2.6800680160522460937500000000000000000000e+00), SC_(8.4421341143838647980035969183880613057605e-01), SC_(-5.3600719766395076638299146307861267938126e-01) }, 
+      { SC_(2.7257375717163085937500000000000000000000e+00), SC_(7.5889905709718526647373257399273129873174e-01), SC_(-6.5120827784742043835386853758773237310974e-01) }, 
+      { SC_(2.7877416610717773437500000000000000000000e+00), SC_(6.1849755782607421827792609946160229156438e-01), SC_(-7.8578672104024637717491890266603742140897e-01) }, 
+      { SC_(2.7930345535278320312500000000000000000000e+00), SC_(6.0534650679100039131411264058534198908238e-01), SC_(-7.9596206361605784580057896592926540608297e-01) }, 
+      { SC_(2.9794301986694335937500000000000000000000e+00), SC_(6.4576969325134380719184170853709332046455e-02), SC_(-9.9791272916662439637917978556650177608583e-01) }, 
+      { SC_(3.0140590667724609375000000000000000000000e+00), SC_(-4.4153501845982175189175058527762162423716e-02), SC_(-9.9902475858946401221242382128074456077456e-01) }, 
+      { SC_(3.0274448394775390625000000000000000000000e+00), SC_(-8.6113718924577264256191741572510303127778e-02), SC_(-9.9628531426142125159845398506889259793638e-01) }, 
+      { SC_(3.1272258758544921875000000000000000000000e+00), SC_(-3.8913452368727790960356345180278976524450e-01), SC_(-9.2118093905305886299976636088054353344837e-01) }, 
+      { SC_(3.2463350296020507812500000000000000000000e+00), SC_(-6.9891857428318090957573573027947012586588e-01), SC_(-7.1520124896560809131726883061795792563693e-01) }, 
+      { SC_(3.2589178085327148437500000000000000000000e+00), SC_(-7.2663709244263817401414242437628248351839e-01), SC_(-6.8702149594209125055751180411261051580649e-01) }, 
+      { SC_(3.3070068359375000000000000000000000000000e+00), SC_(-8.2175864645735172534612332054328975554008e-01), SC_(-5.6983570173566802821049780901183552862792e-01) }, 
+      { SC_(3.3258838653564453125000000000000000000000e+00), SC_(-8.5408772066117639250002441486943704634544e-01), SC_(-5.2012898920921176087604522292013122428088e-01) }, 
+      { SC_(3.3375492095947265625000000000000000000000e+00), SC_(-8.7257153578052091358315534289731125877922e-01), SC_(-4.8848635082837587004720613584405617142606e-01) }, 
+      { SC_(3.3669977188110351562500000000000000000000e+00), SC_(-9.1396798220297561033487383312195293377728e-01), SC_(-4.0578630768893774739693190146836884794326e-01) }, 
+      { SC_(3.4341087341308593750000000000000000000000e+00), SC_(-9.7865116955588442390300932302401182353872e-01), SC_(-2.0552831514635533577558252681957801819126e-01) }, 
+      { SC_(3.4719457626342773437500000000000000000000e+00), SC_(-9.9611862556712482137384040772481006307913e-01), SC_(-8.8020928183371141600457936465291857450722e-02) }, 
+      { SC_(3.4720849990844726562500000000000000000000e+00), SC_(-9.9615703275215020366558951270835450836767e-01), SC_(-8.7585193374402881607363783226196334139273e-02) }, 
+      { SC_(3.5205917358398437500000000000000000000000e+00), SC_(-9.9790827684402469941929089861198503088668e-01), SC_(6.4645734632606333231408358461321085923473e-02) }, 
+      { SC_(3.6017761230468750000000000000000000000000e+00), SC_(-9.4931744975485974001547195314422483338195e-01), SC_(3.1431891382945658324672056757940637855560e-01) }, 
+      { SC_(3.6401405334472656250000000000000000000000e+00), SC_(-9.0463898322145714242894381928150807960181e-01), SC_(4.2617873015443671099809962769068440492845e-01) }, 
+      { SC_(3.6573352813720703125000000000000000000000e+00), SC_(-8.8030890857630174758369213697721090228597e-01), SC_(4.7440091218419933754908503670548458480608e-01) }, 
+      { SC_(3.6600542068481445312500000000000000000000e+00), SC_(-8.7622462669288746421939513920418821059507e-01), SC_(4.8190289849399121987063030800400737550306e-01) }, 
+      { SC_(3.6743307113647460937500000000000000000000e+00), SC_(-8.5373690109536976936966210865941858472063e-01), SC_(5.2070462232255516658865250812898441468120e-01) }, 
+      { SC_(3.6759395599365234375000000000000000000000e+00), SC_(-8.5109418559293582989264089230338154739944e-01), SC_(5.2501303531426465035302709741556823160457e-01) }, 
+      { SC_(3.6779518127441406250000000000000000000000e+00), SC_(-8.4775823766338649388282137669646806530795e-01), SC_(5.3038285273363532972430422102518080779833e-01) }, 
+      { SC_(3.7191076278686523437500000000000000000000e+00), SC_(-7.7229721139647358113807359437680820809513e-01), SC_(6.3526137712695126271658979722161374772548e-01) }, 
+      { SC_(3.7197303771972656250000000000000000000000e+00), SC_(-7.7105289310908725572881798363458383569997e-01), SC_(6.3677110175329601145198110228336758429305e-01) }, 
+      { SC_(3.7415590286254882812500000000000000000000e+00), SC_(-7.2560709999357252492032097752516068559035e-01), SC_(6.8810924745923713178558423965711944178988e-01) }, 
+      { SC_(3.7509422302246093750000000000000000000000e+00), SC_(-7.0501057704102466691892843105783269928843e-01), SC_(7.0919678951633828078444575818375506502661e-01) }, 
+      { SC_(3.7647418975830078125000000000000000000000e+00), SC_(-6.7361202403588387903950332613071875859902e-01), SC_(7.3908513790650654594303944610931020837681e-01) }, 
+      { SC_(3.8488769531250000000000000000000000000000e+00), SC_(-4.5713127745715697303348813361224351474208e-01), SC_(8.8939923272419555705330444258023019744461e-01) }, 
+      { SC_(3.8996763229370117187500000000000000000000e+00), SC_(-3.0998392718517287188809579093624249170750e-01), SC_(9.5074179717042915066727903436561012864445e-01) }, 
+      { SC_(3.9081726074218750000000000000000000000000e+00), SC_(-2.8449945044851010534076472484154609631230e-01), SC_(9.5867620325868929081685950779266605717363e-01) }, 
+      { SC_(3.9430503845214843750000000000000000000000e+00), SC_(-1.7795953146963244992533370940904044176079e-01), SC_(9.8403780677325040351109357253557270668483e-01) }, 
+      { SC_(3.9525480270385742187500000000000000000000e+00), SC_(-1.4852322763418675969604894254451481003482e-01), SC_(9.8890891939203558912519717829149622171011e-01) }, 
+      { SC_(3.9716901779174804687500000000000000000000e+00), SC_(-8.8820726269070577371479191303757464259147e-02), SC_(9.9604762867296402989876530880328911976327e-01) }
+   }};
+//#undef SC_
+
diff --git a/libs/math/test/trig_data2.ipp b/libs/math/test/trig_data2.ipp
new file mode 100644
index 000000000..8f9953f4c
--- /dev/null
+++ b/libs/math/test/trig_data2.ipp
@@ -0,0 +1,155 @@
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 148> trig_data2 = {{
+      { SC_(-1.9999995231628417968750000000000000000000e+00), SC_(1.4980281131690112288542788461553611206918e-06), SC_(9.9999999999887795588607701655175253650385e-01) }, 
+      { SC_(-1.9999985694885253906250000000000000000000e+00), SC_(4.4940843394935868575478645466191072371308e-06), SC_(9.9999999998990160297470825676169589344081e-01) }, 
+      { SC_(-1.9999966621398925781250000000000000000000e+00), SC_(1.0486196791994822995771188961609302512444e-05), SC_(9.9999999994501983841826733236935959894956e-01) }, 
+      { SC_(-1.9999957084655761718750000000000000000000e+00), SC_(1.3482253018117696189242608854023945230621e-05), SC_(9.9999999990911442677359804232502397526992e-01) }, 
+      { SC_(-1.9999852180480957031250000000000000000000e+00), SC_(4.6438871491565280117698474932339407631997e-05), SC_(9.9999999892171560671359413131460719431659e-01) }, 
+      { SC_(-1.9999709129333496093750000000000000000000e+00), SC_(9.1379714776169916676504893028080336305096e-05), SC_(9.9999999582487385499707753413380040254131e-01) }, 
+      { SC_(-1.9999628067016601562500000000000000000000e+00), SC_(1.1684619256134242811309917534624539649780e-04), SC_(9.9999999317348361865817975703384517397171e-01) }, 
+      { SC_(-1.9999003410339355468750000000000000000000e+00), SC_(3.1308787053741855117950880780497680759570e-04), SC_(9.9999995098799146008382980990445170109932e-01) }, 
+      { SC_(-1.9998402595520019531250000000000000000000e+00), SC_(5.0183939684769924809171253847476904900975e-04), SC_(9.9999987407860195766947052118236852970333e-01) }, 
+      { SC_(-1.9997320175170898437500000000000000000000e+00), SC_(8.4189170014837154687588880235168421682168e-04), SC_(9.9999964560911981419424672295679903989178e-01) }, 
+      { SC_(-1.9992446899414062500000000000000000000000e+00), SC_(2.3728743044973247838253172935228172467424e-03), SC_(9.9999718472980465503219274828524949063826e-01) }, 
+      { SC_(-1.9987516403198242187500000000000000000000e+00), SC_(3.9218275467790664715140272043149223642317e-03), SC_(9.9999230960477557309064944107279076437187e-01) }, 
+      { SC_(-1.9976792335510253906250000000000000000000e+00), SC_(7.2908382328935566307435101112900335063237e-03), SC_(9.9997342148572217817205233668312377823042e-01) }, 
+      { SC_(-1.9939575195312500000000000000000000000000e+00), SC_(1.8981872167508178357172130364879478736824e-02), SC_(9.9981982803353944005287225251112677857740e-01) }, 
+      { SC_(-1.9844307899475097656250000000000000000000e+00), SC_(4.8892615404945346627001407931204211546893e-02), SC_(9.9880404092037197813676426019506317879923e-01) }, 
+      { SC_(-1.9694142341613769531250000000000000000000e+00), SC_(9.5940223552297220176859818946140456738044e-02), SC_(9.9538709731678521178505835566419054715492e-01) }, 
+      { SC_(-1.9376106262207031250000000000000000000000e+00), SC_(1.9474944565077729586702134297397558908793e-01), SC_(9.8085302335197751084221022090414475952815e-01) }, 
+      { SC_(-1.8771944046020507812500000000000000000000e+00), SC_(3.7630523255097276560855730503841419331357e-01), SC_(9.2649574848175008067512810410200333264846e-01) }, 
+      { SC_(-1.7540383338928222656250000000000000000000e+00), SC_(6.9807919407529171997035782798891723621393e-01), SC_(7.1602055752554423261801142921491759740208e-01) }, 
+      { SC_(-1.7105970382690429687500000000000000000000e+00), SC_(7.8900402338852276350219626277702904546800e-01), SC_(6.1438802973098639626496377371872238232214e-01) }, 
+      { SC_(-1.4999995231628417968750000000000000000000e+00), SC_(9.9999999999887795588607701655175253650385e-01), SC_(-1.4980281131690112288542788461553611206918e-06) }, 
+      { SC_(-1.4999985694885253906250000000000000000000e+00), SC_(9.9999999998990160297470825676169589344081e-01), SC_(-4.4940843394935868575478645466191072371308e-06) }, 
+      { SC_(-1.4999966621398925781250000000000000000000e+00), SC_(9.9999999994501983841826733236935959894956e-01), SC_(-1.0486196791994822995771188961609302512444e-05) }, 
+      { SC_(-1.4999957084655761718750000000000000000000e+00), SC_(9.9999999990911442677359804232502397526992e-01), SC_(-1.3482253018117696189242608854023945230621e-05) }, 
+      { SC_(-1.4999852180480957031250000000000000000000e+00), SC_(9.9999999892171560671359413131460719431659e-01), SC_(-4.6438871491565280117698474932339407631997e-05) }, 
+      { SC_(-1.4999709129333496093750000000000000000000e+00), SC_(9.9999999582487385499707753413380040254131e-01), SC_(-9.1379714776169916676504893028080336305096e-05) }, 
+      { SC_(-1.4999628067016601562500000000000000000000e+00), SC_(9.9999999317348361865817975703384517397171e-01), SC_(-1.1684619256134242811309917534624539649780e-04) }, 
+      { SC_(-1.4999003410339355468750000000000000000000e+00), SC_(9.9999995098799146008382980990445170109932e-01), SC_(-3.1308787053741855117950880780497680759570e-04) }, 
+      { SC_(-1.4998402595520019531250000000000000000000e+00), SC_(9.9999987407860195766947052118236852970333e-01), SC_(-5.0183939684769924809171253847476904900975e-04) }, 
+      { SC_(-1.4997320175170898437500000000000000000000e+00), SC_(9.9999964560911981419424672295679903989178e-01), SC_(-8.4189170014837154687588880235168421682168e-04) }, 
+      { SC_(-1.4992446899414062500000000000000000000000e+00), SC_(9.9999718472980465503219274828524949063826e-01), SC_(-2.3728743044973247838253172935228172467424e-03) }, 
+      { SC_(-1.4987516403198242187500000000000000000000e+00), SC_(9.9999230960477557309064944107279076437187e-01), SC_(-3.9218275467790664715140272043149223642317e-03) }, 
+      { SC_(-1.4976792335510253906250000000000000000000e+00), SC_(9.9997342148572217817205233668312377823042e-01), SC_(-7.2908382328935566307435101112900335063237e-03) }, 
+      { SC_(-1.4939575195312500000000000000000000000000e+00), SC_(9.9981982803353944005287225251112677857740e-01), SC_(-1.8981872167508178357172130364879478736824e-02) }, 
+      { SC_(-1.4844307899475097656250000000000000000000e+00), SC_(9.9880404092037197813676426019506317879923e-01), SC_(-4.8892615404945346627001407931204211546893e-02) }, 
+      { SC_(-1.4694142341613769531250000000000000000000e+00), SC_(9.9538709731678521178505835566419054715492e-01), SC_(-9.5940223552297220176859818946140456738044e-02) }, 
+      { SC_(-1.4376106262207031250000000000000000000000e+00), SC_(9.8085302335197751084221022090414475952815e-01), SC_(-1.9474944565077729586702134297397558908793e-01) }, 
+      { SC_(-1.3771944046020507812500000000000000000000e+00), SC_(9.2649574848175008067512810410200333264846e-01), SC_(-3.7630523255097276560855730503841419331357e-01) }, 
+      { SC_(-1.2540383338928222656250000000000000000000e+00), SC_(7.1602055752554423261801142921491759740208e-01), SC_(-6.9807919407529171997035782798891723621393e-01) }, 
+      { SC_(-1.2105970382690429687500000000000000000000e+00), SC_(6.1438802973098639626496377371872238232214e-01), SC_(-7.8900402338852276350219626277702904546800e-01) }, 
+      { SC_(-1.1370806694030761718750000000000000000000e+00), SC_(4.1746301773122492119427397853204125415748e-01), SC_(-9.0869391371723129146579397894656016506109e-01) }, 
+      { SC_(-9.9999976158142089843750000000000000000000e-01), SC_(-7.4901405658471572113049856673065563715596e-07), SC_(-9.9999999999971948897151921479471958445202e-01) }, 
+      { SC_(-9.9999952316284179687500000000000000000000e-01), SC_(-1.4980281131690112288542788461553611206918e-06), SC_(-9.9999999999887795588607701655175253650385e-01) }, 
+      { SC_(-9.9999833106994628906250000000000000000000e-01), SC_(-5.2430983960694780971372955823540956317309e-06), SC_(-9.9999999998625495960447237002460255656405e-01) }, 
+      { SC_(-9.9999666213989257812500000000000000000000e-01), SC_(-1.0486196791994822995771188961609302512444e-05), SC_(-9.9999999994501983841826733236935959894956e-01) }, 
+      { SC_(-9.9999570846557617187500000000000000000000e-01), SC_(-1.3482253018117696189242608854023945230621e-05), SC_(-9.9999999990911442677359804232502397526992e-01) }, 
+      { SC_(-9.9998497962951660156250000000000000000000e-01), SC_(-4.7187885547329319055657947640681604270190e-05), SC_(-9.9999999888665172816630219829107169151373e-01) }, 
+      { SC_(-9.9997091293334960937500000000000000000000e-01), SC_(-9.1379714776169916676504893028080336305096e-05), SC_(-9.9999999582487385499707753413380040254131e-01) }, 
+      { SC_(-9.9996280670166015625000000000000000000000e-01), SC_(-1.1684619256134242811309917534624539649780e-04), SC_(-9.9999999317348361865817975703384517397171e-01) }, 
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+      { SC_(-9.9875164031982421875000000000000000000000e-01), SC_(-3.9218275467790664715140272043149223642317e-03), SC_(-9.9999230960477557309064944107279076437187e-01) }, 
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+      { SC_(-9.8443078994750976562500000000000000000000e-01), SC_(-4.8892615404945346627001407931204211546893e-02), SC_(-9.9880404092037197813676426019506317879923e-01) }, 
+      { SC_(-9.6941399574279785156250000000000000000000e-01), SC_(-9.5940969111197941216571259124451089062976e-02), SC_(-9.9538702545592996217602751881533829549808e-01) }, 
+      { SC_(-9.3761062622070312500000000000000000000000e-01), SC_(-1.9474944565077729586702134297397558908793e-01), SC_(-9.8085302335197751084221022090414475952815e-01) }, 
+      { SC_(-8.7719464302062988281250000000000000000000e-01), SC_(-3.7630453859252822903265212796461262419442e-01), SC_(-9.2649603033939893545876174372382758963708e-01) }, 
+      { SC_(-7.5403809547424316406250000000000000000000e-01), SC_(-6.9807973038455829131535264868499063685839e-01), SC_(-7.1602003465421440923170662542985439906727e-01) }, 
+      { SC_(-7.1059679985046386718750000000000000000000e-01), SC_(-7.8900448357357190506916947609555659455861e-01), SC_(-6.1438743875570983374750220189262336594174e-01) }, 
+      { SC_(-6.3708066940307617187500000000000000000000e-01), SC_(-9.0869391371723129146579397894656016506109e-01), SC_(-4.1746301773122492119427397853204125415748e-01) }, 
+      { SC_(-1.3708055019378662109375000000000000000000e-01), SC_(-4.1746267741893839183276264415132105419314e-01), SC_(9.0869407006000175929162295142108224164498e-01) }, 
+      { SC_(1.0000004768371582031250000000000000000000e+00), SC_(-1.4980281131690112288542788461553611206918e-06), SC_(-9.9999999999887795588607701655175253650385e-01) }, 
+      { SC_(1.0000014305114746093750000000000000000000e+00), SC_(-4.4940843394935868575478645466191072371308e-06), SC_(-9.9999999998990160297470825676169589344081e-01) }, 
+      { SC_(1.0000033378601074218750000000000000000000e+00), SC_(-1.0486196791994822995771188961609302512444e-05), SC_(-9.9999999994501983841826733236935959894956e-01) }, 
+      { SC_(1.0000042915344238281250000000000000000000e+00), SC_(-1.3482253018117696189242608854023945230621e-05), SC_(-9.9999999990911442677359804232502397526992e-01) }, 
+      { SC_(1.0000147819519042968750000000000000000000e+00), SC_(-4.6438871491565280117698474932339407631997e-05), SC_(-9.9999999892171560671359413131460719431659e-01) }, 
+      { SC_(1.0000290870666503906250000000000000000000e+00), SC_(-9.1379714776169916676504893028080336305096e-05), SC_(-9.9999999582487385499707753413380040254131e-01) }, 
+      { SC_(1.0000371932983398437500000000000000000000e+00), SC_(-1.1684619256134242811309917534624539649780e-04), SC_(-9.9999999317348361865817975703384517397171e-01) }, 
+      { SC_(1.0000996589660644531250000000000000000000e+00), SC_(-3.1308787053741855117950880780497680759570e-04), SC_(-9.9999995098799146008382980990445170109932e-01) }, 
+      { SC_(1.0001597404479980468750000000000000000000e+00), SC_(-5.0183939684769924809171253847476904900975e-04), SC_(-9.9999987407860195766947052118236852970333e-01) }, 
+      { SC_(1.0002679824829101562500000000000000000000e+00), SC_(-8.4189170014837154687588880235168421682168e-04), SC_(-9.9999964560911981419424672295679903989178e-01) }, 
+      { SC_(1.0007553100585937500000000000000000000000e+00), SC_(-2.3728743044973247838253172935228172467424e-03), SC_(-9.9999718472980465503219274828524949063826e-01) }, 
+      { SC_(1.0012483596801757812500000000000000000000e+00), SC_(-3.9218275467790664715140272043149223642317e-03), SC_(-9.9999230960477557309064944107279076437187e-01) }, 
+      { SC_(1.0023207664489746093750000000000000000000e+00), SC_(-7.2908382328935566307435101112900335063237e-03), SC_(-9.9997342148572217817205233668312377823042e-01) }, 
+      { SC_(1.0060424804687500000000000000000000000000e+00), SC_(-1.8981872167508178357172130364879478736824e-02), SC_(-9.9981982803353944005287225251112677857740e-01) }, 
+      { SC_(1.0155692100524902343750000000000000000000e+00), SC_(-4.8892615404945346627001407931204211546893e-02), SC_(-9.9880404092037197813676426019506317879923e-01) }, 
+      { SC_(1.0305857658386230468750000000000000000000e+00), SC_(-9.5940223552297220176859818946140456738044e-02), SC_(-9.9538709731678521178505835566419054715492e-01) }, 
+      { SC_(1.0623893737792968750000000000000000000000e+00), SC_(-1.9474944565077729586702134297397558908793e-01), SC_(-9.8085302335197751084221022090414475952815e-01) }, 
+      { SC_(1.1228055953979492187500000000000000000000e+00), SC_(-3.7630523255097276560855730503841419331357e-01), SC_(-9.2649574848175008067512810410200333264846e-01) }, 
+      { SC_(1.2459616661071777343750000000000000000000e+00), SC_(-6.9807919407529171997035782798891723621393e-01), SC_(-7.1602055752554423261801142921491759740208e-01) }, 
+      { SC_(1.2894029617309570312500000000000000000000e+00), SC_(-7.8900402338852276350219626277702904546800e-01), SC_(-6.1438802973098639626496377371872238232214e-01) }, 
+      { SC_(1.5000004768371582031250000000000000000000e+00), SC_(-9.9999999999887795588607701655175253650385e-01), SC_(1.4980281131690112288542788461553611206918e-06) }, 
+      { SC_(1.5000014305114746093750000000000000000000e+00), SC_(-9.9999999998990160297470825676169589344081e-01), SC_(4.4940843394935868575478645466191072371308e-06) }, 
+      { SC_(1.5000033378601074218750000000000000000000e+00), SC_(-9.9999999994501983841826733236935959894956e-01), SC_(1.0486196791994822995771188961609302512444e-05) }, 
+      { SC_(1.5000042915344238281250000000000000000000e+00), SC_(-9.9999999990911442677359804232502397526992e-01), SC_(1.3482253018117696189242608854023945230621e-05) }, 
+      { SC_(1.5000147819519042968750000000000000000000e+00), SC_(-9.9999999892171560671359413131460719431659e-01), SC_(4.6438871491565280117698474932339407631997e-05) }, 
+      { SC_(1.5000290870666503906250000000000000000000e+00), SC_(-9.9999999582487385499707753413380040254131e-01), SC_(9.1379714776169916676504893028080336305096e-05) }, 
+      { SC_(1.5000371932983398437500000000000000000000e+00), SC_(-9.9999999317348361865817975703384517397171e-01), SC_(1.1684619256134242811309917534624539649780e-04) }, 
+      { SC_(1.5000996589660644531250000000000000000000e+00), SC_(-9.9999995098799146008382980990445170109932e-01), SC_(3.1308787053741855117950880780497680759570e-04) }, 
+      { SC_(1.5001597404479980468750000000000000000000e+00), SC_(-9.9999987407860195766947052118236852970333e-01), SC_(5.0183939684769924809171253847476904900975e-04) }, 
+      { SC_(1.5002679824829101562500000000000000000000e+00), SC_(-9.9999964560911981419424672295679903989178e-01), SC_(8.4189170014837154687588880235168421682168e-04) }, 
+      { SC_(1.5007553100585937500000000000000000000000e+00), SC_(-9.9999718472980465503219274828524949063826e-01), SC_(2.3728743044973247838253172935228172467424e-03) }, 
+      { SC_(1.5012483596801757812500000000000000000000e+00), SC_(-9.9999230960477557309064944107279076437187e-01), SC_(3.9218275467790664715140272043149223642317e-03) }, 
+      { SC_(1.5023207664489746093750000000000000000000e+00), SC_(-9.9997342148572217817205233668312377823042e-01), SC_(7.2908382328935566307435101112900335063237e-03) }, 
+      { SC_(1.5060424804687500000000000000000000000000e+00), SC_(-9.9981982803353944005287225251112677857740e-01), SC_(1.8981872167508178357172130364879478736824e-02) }, 
+      { SC_(1.5155692100524902343750000000000000000000e+00), SC_(-9.9880404092037197813676426019506317879923e-01), SC_(4.8892615404945346627001407931204211546893e-02) }, 
+      { SC_(1.5305857658386230468750000000000000000000e+00), SC_(-9.9538709731678521178505835566419054715492e-01), SC_(9.5940223552297220176859818946140456738044e-02) }, 
+      { SC_(1.5623893737792968750000000000000000000000e+00), SC_(-9.8085302335197751084221022090414475952815e-01), SC_(1.9474944565077729586702134297397558908793e-01) }, 
+      { SC_(1.6228055953979492187500000000000000000000e+00), SC_(-9.2649574848175008067512810410200333264846e-01), SC_(3.7630523255097276560855730503841419331357e-01) }, 
+      { SC_(1.7459616661071777343750000000000000000000e+00), SC_(-7.1602055752554423261801142921491759740208e-01), SC_(6.9807919407529171997035782798891723621393e-01) }, 
+      { SC_(1.7894029617309570312500000000000000000000e+00), SC_(-6.1438802973098639626496377371872238232214e-01), SC_(7.8900402338852276350219626277702904546800e-01) }, 
+      { SC_(1.8629193305969238281250000000000000000000e+00), SC_(-4.1746301773122492119427397853204125415748e-01), SC_(9.0869391371723129146579397894656016506109e-01) }, 
+      { SC_(2.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) }, 
+      { SC_(2.0000019073486328125000000000000000000000e+00), SC_(5.9921124526424278428797118088908617299872e-06), SC_(9.9999999998204729417728262414778410737964e-01) }, 
+      { SC_(2.0000028610229492187500000000000000000000e+00), SC_(8.9881686788964076192450246007437023043257e-06), SC_(9.9999999995960641189903698229174441602069e-01) }, 
+      { SC_(2.0000038146972656250000000000000000000000e+00), SC_(1.1984224905069706421521561596988984804732e-05), SC_(9.9999999992818917670977509588385049026048e-01) }, 
+      { SC_(2.0000143051147460937500000000000000000000e+00), SC_(4.4940843379959462761564286047113411974000e-05), SC_(9.9999999899016029763908875325140940739113e-01) }, 
+      { SC_(2.0000286102294921875000000000000000000000e+00), SC_(8.9881686669152829717795387171401845170856e-05), SC_(9.9999999596064119259590746193438526128523e-01) }, 
+      { SC_(2.0000371932983398437500000000000000000000e+00), SC_(1.1684619256134242811309917534624539649780e-04), SC_(9.9999999317348361865817975703384517397171e-01) }, 
+      { SC_(2.0000991821289062500000000000000000000000e+00), SC_(3.1158984249731960822405142280490373395657e-04), SC_(9.9999995145588384798217323600349215222192e-01) }, 
+      { SC_(2.0001592636108398437500000000000000000000e+00), SC_(5.0034136892260094523844706589235605397421e-04), SC_(9.9999987482924943847047044738353787252112e-01) }, 
+      { SC_(2.0002679824829101562500000000000000000000e+00), SC_(8.4189170014837154687588880235168421682168e-04), SC_(9.9999964560911981419424672295679903989178e-01) }, 
+      { SC_(2.0007553100585937500000000000000000000000e+00), SC_(2.3728743044973247838253172935228172467424e-03), SC_(9.9999718472980465503219274828524949063826e-01) }, 
+      { SC_(2.0012483596801757812500000000000000000000e+00), SC_(3.9218275467790664715140272043149223642317e-03), SC_(9.9999230960477557309064944107279076437187e-01) }, 
+      { SC_(2.0023202896118164062500000000000000000000e+00), SC_(7.2893402445875685718309310011223138924629e-03), SC_(9.9997343240648080532241755401327069531063e-01) }, 
+      { SC_(2.0060424804687500000000000000000000000000e+00), SC_(1.8981872167508178357172130364879478736824e-02), SC_(9.9981982803353944005287225251112677857740e-01) }, 
+      { SC_(2.0155687332153320312500000000000000000000e+00), SC_(4.8891119168357641426955981953471866397804e-02), SC_(9.9880411416176367891009655338470382368524e-01) }, 
+      { SC_(2.0305852890014648437500000000000000000000e+00), SC_(9.5938732434334304771023968784410054299194e-02), SC_(9.9538724103682040861237580872061890490118e-01) }, 
+      { SC_(2.0623893737792968750000000000000000000000e+00), SC_(1.9474944565077729586702134297397558908793e-01), SC_(9.8085302335197751084221022090414475952815e-01) }, 
+      { SC_(2.1228055953979492187500000000000000000000e+00), SC_(3.7630523255097276560855730503841419331357e-01), SC_(9.2649574848175008067512810410200333264846e-01) }, 
+      { SC_(2.2459611892700195312500000000000000000000e+00), SC_(6.9807812145558366410510314778327047985312e-01), SC_(7.1602160326699876911924965932760594412897e-01) }, 
+      { SC_(2.2894029617309570312500000000000000000000e+00), SC_(7.8900402338852276350219626277702904546800e-01), SC_(6.1438802973098639626496377371872238232214e-01) }, 
+      { SC_(2.3629188537597656250000000000000000000000e+00), SC_(9.0869328834487492706020241698554993000928e-01), SC_(4.1746437897978552326073028034696674963028e-01) }, 
+      { SC_(2.5000000000000000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00) }, 
+      { SC_(2.5000019073486328125000000000000000000000e+00), SC_(9.9999999998204729417728262414778410737964e-01), SC_(-5.9921124526424278428797118088908617299872e-06) }, 
+      { SC_(2.5000028610229492187500000000000000000000e+00), SC_(9.9999999995960641189903698229174441602069e-01), SC_(-8.9881686788964076192450246007437023043257e-06) }, 
+      { SC_(2.5000038146972656250000000000000000000000e+00), SC_(9.9999999992818917670977509588385049026048e-01), SC_(-1.1984224905069706421521561596988984804732e-05) }, 
+      { SC_(2.5000143051147460937500000000000000000000e+00), SC_(9.9999999899016029763908875325140940739113e-01), SC_(-4.4940843379959462761564286047113411974000e-05) }, 
+      { SC_(2.5000286102294921875000000000000000000000e+00), SC_(9.9999999596064119259590746193438526128523e-01), SC_(-8.9881686669152829717795387171401845170856e-05) }, 
+      { SC_(2.5000371932983398437500000000000000000000e+00), SC_(9.9999999317348361865817975703384517397171e-01), SC_(-1.1684619256134242811309917534624539649780e-04) }, 
+      { SC_(2.5000991821289062500000000000000000000000e+00), SC_(9.9999995145588384798217323600349215222192e-01), SC_(-3.1158984249731960822405142280490373395657e-04) }, 
+      { SC_(2.5001592636108398437500000000000000000000e+00), SC_(9.9999987482924943847047044738353787252112e-01), SC_(-5.0034136892260094523844706589235605397421e-04) }, 
+      { SC_(2.5002679824829101562500000000000000000000e+00), SC_(9.9999964560911981419424672295679903989178e-01), SC_(-8.4189170014837154687588880235168421682168e-04) }, 
+      { SC_(2.5007553100585937500000000000000000000000e+00), SC_(9.9999718472980465503219274828524949063826e-01), SC_(-2.3728743044973247838253172935228172467424e-03) }, 
+      { SC_(2.5012483596801757812500000000000000000000e+00), SC_(9.9999230960477557309064944107279076437187e-01), SC_(-3.9218275467790664715140272043149223642317e-03) }, 
+      { SC_(2.5023202896118164062500000000000000000000e+00), SC_(9.9997343240648080532241755401327069531063e-01), SC_(-7.2893402445875685718309310011223138924629e-03) }, 
+      { SC_(2.5060424804687500000000000000000000000000e+00), SC_(9.9981982803353944005287225251112677857740e-01), SC_(-1.8981872167508178357172130364879478736824e-02) }, 
+      { SC_(2.5155687332153320312500000000000000000000e+00), SC_(9.9880411416176367891009655338470382368524e-01), SC_(-4.8891119168357641426955981953471866397804e-02) }, 
+      { SC_(2.5305852890014648437500000000000000000000e+00), SC_(9.9538724103682040861237580872061890490118e-01), SC_(-9.5938732434334304771023968784410054299194e-02) }, 
+      { SC_(2.5623893737792968750000000000000000000000e+00), SC_(9.8085302335197751084221022090414475952815e-01), SC_(-1.9474944565077729586702134297397558908793e-01) }, 
+      { SC_(2.6228055953979492187500000000000000000000e+00), SC_(9.2649574848175008067512810410200333264846e-01), SC_(-3.7630523255097276560855730503841419331357e-01) }, 
+      { SC_(2.7459611892700195312500000000000000000000e+00), SC_(7.1602160326699876911924965932760594412897e-01), SC_(-6.9807812145558366410510314778327047985312e-01) }, 
+      { SC_(2.7894029617309570312500000000000000000000e+00), SC_(6.1438802973098639626496377371872238232214e-01), SC_(-7.8900402338852276350219626277702904546800e-01) }, 
+      { SC_(2.8629188537597656250000000000000000000000e+00), SC_(4.1746437897978552326073028034696674963028e-01), SC_(-9.0869328834487492706020241698554993000928e-01) }, 
+      { SC_(3.3629188537597656250000000000000000000000e+00), SC_(-9.0869328834487492706020241698554993000928e-01), SC_(-4.1746437897978552326073028034696674963028e-01) }
+   }};
+//#undef SC_
+