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Subject: [Boost-commit] svn:boost r85008 - in trunk: boost/multiprecision boost/multiprecision/detail/functions libs/multiprecision/test
From: john_at_[hidden]
Date: 2013-07-12 12:13:34

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Author: johnmaddock
Date: 2013-07-12 12:13:34 EDT (Fri, 12 Jul 2013)
New Revision: 85008
URL: http://svn.boost.org/trac/boost/changeset/85008

Log:
Fix mpfi pow function to correctly handle negative base with integer power.
Fixed error handling to not return numeric_limits<>::quiet_NaN if there is no NaN supported.
Fixed default pow implementation to handle integer args up to numeric_limits<uintmax_t>::max().
Fixed error handling in default pow implementation to return NaN for too large exponents (can't tell if they're integers or even or odd) and negative bases.
Fixed array subscript bug in cpp_dec_float.
Greatly increased pow testing.
Fixes #8809.

Text files modified:
   trunk/boost/multiprecision/cpp_dec_float.hpp | 3
   trunk/boost/multiprecision/detail/functions/pow.hpp | 36
   trunk/boost/multiprecision/detail/functions/trig.hpp | 37
   trunk/boost/multiprecision/mpfi.hpp | 49 +
   trunk/libs/multiprecision/test/test_pow.cpp | 1202 +++++++++++++++++++++++----------------
   5 files changed, 816 insertions(+), 511 deletions(-)

Modified: trunk/boost/multiprecision/cpp_dec_float.hpp
==============================================================================
--- trunk/boost/multiprecision/cpp_dec_float.hpp Fri Jul 12 07:33:15 2013 (r85007)
+++ trunk/boost/multiprecision/cpp_dec_float.hpp 2013-07-12 12:13:34 EDT (Fri, 12 Jul 2013) (r85008)
@@ -1708,7 +1708,8 @@
    const size_t first_clear = (static_cast<size_t>(x.exp) / static_cast<size_t>(cpp_dec_float_elem_digits10)) + 1u;
    const size_t last_clear = static_cast<size_t>(cpp_dec_float_elem_number);

- std::fill(x.data.begin() + first_clear, x.data.begin() + last_clear, static_cast<boost::uint32_t>(0u));
+ if(first_clear < last_clear)
+ std::fill(x.data.begin() + first_clear, x.data.begin() + last_clear, static_cast<boost::uint32_t>(0u));

    return x;
}

Modified: trunk/boost/multiprecision/detail/functions/pow.hpp
==============================================================================
--- trunk/boost/multiprecision/detail/functions/pow.hpp Fri Jul 12 07:33:15 2013 (r85007)
+++ trunk/boost/multiprecision/detail/functions/pow.hpp 2013-07-12 12:13:34 EDT (Fri, 12 Jul 2013) (r85008)
@@ -202,7 +202,7 @@
    bool isneg = eval_get_sign(x) < 0;
    if(type == FP_NAN)
    {
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ result = x;
       return;
    }
    else if(type == FP_INFINITE)
@@ -446,13 +446,14 @@
    default: ;
    }

- if(eval_get_sign(a) == 0)
+ int s = eval_get_sign(a);
+ if(s == 0)
    {
       result = si_type(1);
       return;
    }

- if(a.compare(si_type(-1)) < 0)
+ if(s < 0)
    {
       T t, da;
       t = a;
@@ -462,7 +463,6 @@
       return;
    }

- bool bo_a_isint = false;
    typename boost::multiprecision::detail::canonical<boost::intmax_t, T>::type an;
    T fa;
    try
@@ -480,9 +480,33 @@
       an = (std::numeric_limits<boost::intmax_t>::max)();
    }

- if((eval_get_sign(x) < 0) && !bo_a_isint)
+ if((eval_get_sign(x) < 0))
    {
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ typename boost::multiprecision::detail::canonical<boost::uintmax_t, T>::type aun;
+ try
+ {
+ eval_convert_to(&aun, a);
+ if(a.compare(aun) == 0)
+ {
+ fa = x;
+ fa.negate();
+ eval_pow(result, fa, a);
+ if(aun & 1u)
+ result.negate();
+ return;
+ }
+ }
+ catch(const std::exception&)
+ {
+ // conversion failed, just fall through, value is not an integer.
+ }
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ {
+ BOOST_THROW_EXCEPTION(std::domain_error("Result of pow is undefined or non-real and there is no NaN for this number type."));
+ }
+ return;
    }

    T t, da;

Modified: trunk/boost/multiprecision/detail/functions/trig.hpp
==============================================================================
--- trunk/boost/multiprecision/detail/functions/trig.hpp Fri Jul 12 07:33:15 2013 (r85007)
+++ trunk/boost/multiprecision/detail/functions/trig.hpp 2013-07-12 12:13:34 EDT (Fri, 12 Jul 2013) (r85008)
@@ -85,7 +85,10 @@
    {
    case FP_INFINITE:
    case FP_NAN:
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ BOOST_THROW_EXCEPTION(std::domain_error("Result is undefined or complex and there is no NaN for this number type."));
       return;
    case FP_ZERO:
       result = ui_type(0);
@@ -229,7 +232,10 @@
    {
    case FP_INFINITE:
    case FP_NAN:
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ BOOST_THROW_EXCEPTION(std::domain_error("Result is undefined or complex and there is no NaN for this number type."));
       return;
    case FP_ZERO:
       result = ui_type(1);
@@ -446,7 +452,10 @@
    {
    case FP_NAN:
    case FP_INFINITE:
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ BOOST_THROW_EXCEPTION(std::domain_error("Result is undefined or complex and there is no NaN for this number type."));
       return;
    case FP_ZERO:
       result = ui_type(0);
@@ -463,7 +472,10 @@
    int c = xx.compare(ui_type(1));
    if(c > 0)
    {
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ BOOST_THROW_EXCEPTION(std::domain_error("Result is undefined or complex and there is no NaN for this number type."));
       return;
    }
    else if(c == 0)
@@ -545,7 +557,10 @@
    {
    case FP_NAN:
    case FP_INFINITE:
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ BOOST_THROW_EXCEPTION(std::domain_error("Result is undefined or complex and there is no NaN for this number type."));
       return;
    case FP_ZERO:
       result = get_constant_pi<T>();
@@ -558,7 +573,10 @@

    if(c > 0)
    {
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ BOOST_THROW_EXCEPTION(std::domain_error("Result is undefined or complex and there is no NaN for this number type."));
       return;
    }
    else if(c == 0)
@@ -588,7 +606,7 @@
    switch(eval_fpclassify(x))
    {
    case FP_NAN:
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ result = x;
       return;
    case FP_ZERO:
       result = ui_type(0);
@@ -703,7 +721,10 @@
       {
          if(eval_fpclassify(x) == FP_INFINITE)
          {
- result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ if(std::numeric_limits<number<T, et_on> >::has_quiet_NaN)
+ result = std::numeric_limits<number<T, et_on> >::quiet_NaN().backend();
+ else
+ BOOST_THROW_EXCEPTION(std::domain_error("Result is undefined or complex and there is no NaN for this number type."));
          }
          else
          {

Modified: trunk/boost/multiprecision/mpfi.hpp
==============================================================================
--- trunk/boost/multiprecision/mpfi.hpp Fri Jul 12 07:33:15 2013 (r85007)
+++ trunk/boost/multiprecision/mpfi.hpp 2013-07-12 12:13:34 EDT (Fri, 12 Jul 2013) (r85008)
@@ -834,6 +834,55 @@
template <unsigned Digits10>
inline void eval_pow(mpfi_float_backend<Digits10>& result, const mpfi_float_backend<Digits10>& b, const mpfi_float_backend<Digits10>& e)
{
+ typedef typename boost::multiprecision::detail::canonical<unsigned, mpfi_float_backend<Digits10> >::type ui_type;
+ using default_ops::eval_get_sign;
+ int s = eval_get_sign(b);
+ if(s == 0)
+ {
+ if(eval_get_sign(e) == 0)
+ {
+ result = ui_type(1);
+ }
+ else
+ {
+ result = ui_type(0);
+ }
+ return;
+ }
+ if(s < 0)
+ {
+ if(eval_get_sign(e) < 0)
+ {
+ mpfi_float_backend<Digits10> t1, t2;
+ t1 = e;
+ t1.negate();
+ eval_pow(t2, b, t1);
+ t1 = ui_type(1);
+ eval_divide(result, t1, t2);
+ return;
+ }
+ typename boost::multiprecision::detail::canonical<boost::uintmax_t, mpfi_float_backend<Digits10> >::type an;
+ try
+ {
+ using default_ops::eval_convert_to;
+ eval_convert_to(&an, e);
+ if(e.compare(an) == 0)
+ {
+ mpfi_float_backend<Digits10> pb(b);
+ pb.negate();
+ eval_pow(result, pb, e);
+ if(an & 1u)
+ result.negate();
+ return;
+ }
+ }
+ catch(const std::exception&)
+ {
+ // conversion failed, just fall through, value is not an integer.
+ }
+ result = std::numeric_limits<number<mpfi_float_backend<Digits10>, et_on> >::quiet_NaN().backend();
+ return;
+ }
    mpfi_log(result.data(), b.data());
    mpfi_mul(result.data(), result.data(), e.data());
    mpfi_exp(result.data(), result.data());

Modified: trunk/libs/multiprecision/test/test_pow.cpp
==============================================================================
--- trunk/libs/multiprecision/test/test_pow.cpp Fri Jul 12 07:33:15 2013 (r85007)
+++ trunk/libs/multiprecision/test/test_pow.cpp 2013-07-12 12:13:34 EDT (Fri, 12 Jul 2013) (r85008)
@@ -56,508 +56,711 @@
void test()
{
    std::cout << "Testing type: " << typeid(T).name() << std::endl;
- static const boost::array<boost::array<const char*, 3>, 500> data =
+ static const boost::array<boost::array<const char*, 3>, 702> data =
    {{
- {{ "9.85291419463953934609889984130859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e4", "8.41670862661703722551465034484863281250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e2", "8.66781019918879108354226292713799369912745098619466567318041467361236175866573114777000418440761829061824953361563557580935951901405814080757565313129904800947783606850513184296612628910656615168927761935861462770335134108408073175949783551491164949747086136599355880600420490275164555515512645668845e4202" }},
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+ {{ "2.155348014323840710737556491949362680315971374511718750e-2", "4.0581281467163221599037115083774551749229431152343750e-2", "8.55799445393602464144976083125961944702079982479924287374752573999342183140040918969698718557087349720031284500593972794455976395816766982409031253828819168807248785638632014800512514311905184872890032777260194266023572565329278809193542262172193713145497824126566400120337339261082686915643720103934e-1" }},
+ // Integer exponents:
+ {{ "1.250e-01", "0.0e+00", "1.0e+00" }},
+ {{ "-1.250e-01", "0.0e+00", "1.0e+00" }},
+ {{ "7.50e-01", "0.0e+00", "1.0e+00" }},
+ {{ "-7.50e-01", "0.0e+00", "1.0e+00" }},
+ {{ "1.0e+00", "0.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "0.0e+00", "1.0e+00" }},
+ {{ "1.250e+00", "0.0e+00", "1.0e+00" }},
+ {{ "-1.250e+00", "0.0e+00", "1.0e+00" }},
+ {{ "5.5250e+01", "0.0e+00", "1.0e+00" }},
+ {{ "-5.5250e+01", "0.0e+00", "1.0e+00" }},
+ {{ "1.250e-01", "1.0e+00", "1.250e-01" }},
+ {{ "-1.250e-01", "1.0e+00", "-1.250e-01" }},
+ {{ "7.50e-01", "1.0e+00", "7.50e-01" }},
+ {{ "-7.50e-01", "1.0e+00", "-7.50e-01" }},
+ {{ "1.0e+00", "1.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "1.0e+00", "-1.0e+00" }},
+ {{ "1.250e+00", "1.0e+00", "1.250e+00" }},
+ {{ "-1.250e+00", "1.0e+00", "-1.250e+00" }},
+ {{ "5.5250e+01", "1.0e+00", "5.5250e+01" }},
+ {{ "-5.5250e+01", "1.0e+00", "-5.5250e+01" }},
+ {{ "1.250e-01", "2.0e+00", "1.56250e-02" }},
+ {{ "-1.250e-01", "2.0e+00", "1.56250e-02" }},
+ {{ "7.50e-01", "2.0e+00", "5.6250e-01" }},
+ {{ "-7.50e-01", "2.0e+00", "5.6250e-01" }},
+ {{ "1.0e+00", "2.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "2.0e+00", "1.0e+00" }},
+ {{ "1.250e+00", "2.0e+00", "1.56250e+00" }},
+ {{ "-1.250e+00", "2.0e+00", "1.56250e+00" }},
+ {{ "5.5250e+01", "2.0e+00", "3.05256250e+03" }},
+ {{ "-5.5250e+01", "2.0e+00", "3.05256250e+03" }},
+ {{ "1.250e-01", "3.0e+00", "1.9531250e-03" }},
+ {{ "-1.250e-01", "3.0e+00", "-1.9531250e-03" }},
+ {{ "7.50e-01", "3.0e+00", "4.218750e-01" }},
+ {{ "-7.50e-01", "3.0e+00", "-4.218750e-01" }},
+ {{ "1.0e+00", "3.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "3.0e+00", "-1.0e+00" }},
+ {{ "1.250e+00", "3.0e+00", "1.9531250e+00" }},
+ {{ "-1.250e+00", "3.0e+00", "-1.9531250e+00" }},
+ {{ "5.5250e+01", "3.0e+00", "1.686540781250e+05" }},
+ {{ "-5.5250e+01", "3.0e+00", "-1.686540781250e+05" }},
+ {{ "1.250e-01", "4.0e+00", "2.441406250e-04" }},
+ {{ "-1.250e-01", "4.0e+00", "2.441406250e-04" }},
+ {{ "7.50e-01", "4.0e+00", "3.16406250e-01" }},
+ {{ "-7.50e-01", "4.0e+00", "3.16406250e-01" }},
+ {{ "1.0e+00", "4.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "4.0e+00", "1.0e+00" }},
+ {{ "1.250e+00", "4.0e+00", "2.441406250e+00" }},
+ {{ "-1.250e+00", "4.0e+00", "2.441406250e+00" }},
+ {{ "5.5250e+01", "4.0e+00", "9.318137816406250e+06" }},
+ {{ "-5.5250e+01", "4.0e+00", "9.318137816406250e+06" }},
+ {{ "1.250e-01", "5.0e+00", "3.05175781250e-05" }},
+ {{ "-1.250e-01", "5.0e+00", "-3.05175781250e-05" }},
+ {{ "7.50e-01", "5.0e+00", "2.3730468750e-01" }},
+ {{ "-7.50e-01", "5.0e+00", "-2.3730468750e-01" }},
+ {{ "1.0e+00", "5.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "5.0e+00", "-1.0e+00" }},
+ {{ "1.250e+00", "5.0e+00", "3.05175781250e+00" }},
+ {{ "-1.250e+00", "5.0e+00", "-3.05175781250e+00" }},
+ {{ "5.5250e+01", "5.0e+00", "5.1482711435644531250e+08" }},
+ {{ "-5.5250e+01", "5.0e+00", "-5.1482711435644531250e+08" }},
+ {{ "1.250e-01", "6.0e+00", "3.8146972656250e-06" }},
+ {{ "-1.250e-01", "6.0e+00", "3.8146972656250e-06" }},
+ {{ "7.50e-01", "6.0e+00", "1.779785156250e-01" }},
+ {{ "-7.50e-01", "6.0e+00", "1.779785156250e-01" }},
+ {{ "1.0e+00", "6.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "6.0e+00", "1.0e+00" }},
+ {{ "1.250e+00", "6.0e+00", "3.8146972656250e+00" }},
+ {{ "-1.250e+00", "6.0e+00", "3.8146972656250e+00" }},
+ {{ "5.5250e+01", "6.0e+00", "2.84441980681936035156250e+10" }},
+ {{ "-5.5250e+01", "6.0e+00", "2.84441980681936035156250e+10" }},
+ {{ "1.250e-01", "7.0e+00", "4.768371582031250e-07" }},
+ {{ "-1.250e-01", "7.0e+00", "-4.768371582031250e-07" }},
+ {{ "7.50e-01", "7.0e+00", "1.33483886718750e-01" }},
+ {{ "-7.50e-01", "7.0e+00", "-1.33483886718750e-01" }},
+ {{ "1.0e+00", "7.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "7.0e+00", "-1.0e+00" }},
+ {{ "1.250e+00", "7.0e+00", "4.768371582031250e+00" }},
+ {{ "-1.250e+00", "7.0e+00", "-4.768371582031250e+00" }},
+ {{ "5.5250e+01", "7.0e+00", "1.571541943267696594238281250e+12" }},
+ {{ "-5.5250e+01", "7.0e+00", "-1.571541943267696594238281250e+12" }},
+ {{ "1.250e-01", "8.0e+00", "5.96046447753906250e-08" }},
+ {{ "-1.250e-01", "8.0e+00", "5.96046447753906250e-08" }},
+ {{ "7.50e-01", "8.0e+00", "1.0011291503906250e-01" }},
+ {{ "-7.50e-01", "8.0e+00", "1.0011291503906250e-01" }},
+ {{ "1.0e+00", "8.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "8.0e+00", "1.0e+00" }},
+ {{ "1.250e+00", "8.0e+00", "5.96046447753906250e+00" }},
+ {{ "-1.250e+00", "8.0e+00", "5.96046447753906250e+00" }},
+ {{ "5.5250e+01", "8.0e+00", "8.682769236554023683166503906250e+13" }},
+ {{ "-5.5250e+01", "8.0e+00", "8.682769236554023683166503906250e+13" }},
+ {{ "1.250e-01", "9.0e+00", "7.4505805969238281250e-09" }},
+ {{ "-1.250e-01", "9.0e+00", "-7.4505805969238281250e-09" }},
+ {{ "7.50e-01", "9.0e+00", "7.50846862792968750e-02" }},
+ {{ "-7.50e-01", "9.0e+00", "-7.50846862792968750e-02" }},
+ {{ "1.0e+00", "9.0e+00", "1.0e+00" }},
+ {{ "-1.0e+00", "9.0e+00", "-1.0e+00" }},
+ {{ "1.250e+00", "9.0e+00", "7.4505805969238281250e+00" }},
+ {{ "-1.250e+00", "9.0e+00", "-7.4505805969238281250e+00" }},
+ {{ "5.5250e+01", "9.0e+00", "4.7972300031960980849494934082031250e+15" }},
+ {{ "-5.5250e+01", "9.0e+00", "-4.7972300031960980849494934082031250e+15" }},
+ {{ "1.250e-01", "1.0e+01", "9.313225746154785156250e-10" }},
+ {{ "-1.250e-01", "1.0e+01", "9.313225746154785156250e-10" }},
+ {{ "7.50e-01", "1.0e+01", "5.6313514709472656250e-02" }},
+ {{ "-7.50e-01", "1.0e+01", "5.6313514709472656250e-02" }},
+ {{ "1.0e+00", "1.0e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.0e+01", "1.0e+00" }},
+ {{ "1.250e+00", "1.0e+01", "9.313225746154785156250e+00" }},
+ {{ "-1.250e+00", "1.0e+01", "9.313225746154785156250e+00" }},
+ {{ "5.5250e+01", "1.0e+01", "2.65046957676584419193459510803222656250e+17" }},
+ {{ "-5.5250e+01", "1.0e+01", "2.65046957676584419193459510803222656250e+17" }},
+ {{ "1.250e-01", "1.10e+01", "1.164153218269348144531250e-10" }},
+ {{ "-1.250e-01", "1.10e+01", "-1.164153218269348144531250e-10" }},
+ {{ "7.50e-01", "1.10e+01", "4.223513603210449218750e-02" }},
+ {{ "-7.50e-01", "1.10e+01", "-4.223513603210449218750e-02" }},
+ {{ "1.0e+00", "1.10e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.10e+01", "-1.0e+00" }},
+ {{ "1.250e+00", "1.10e+01", "1.164153218269348144531250e+01" }},
+ {{ "-1.250e+00", "1.10e+01", "-1.164153218269348144531250e+01" }},
+ {{ "5.5250e+01", "1.10e+01", "1.464384441163128916043863797187805175781250e+19" }},
+ {{ "-5.5250e+01", "1.10e+01", "-1.464384441163128916043863797187805175781250e+19" }},
+ {{ "1.250e-01", "1.20e+01", "1.45519152283668518066406250e-11" }},
+ {{ "-1.250e-01", "1.20e+01", "1.45519152283668518066406250e-11" }},
+ {{ "7.50e-01", "1.20e+01", "3.16763520240783691406250e-02" }},
+ {{ "-7.50e-01", "1.20e+01", "3.16763520240783691406250e-02" }},
+ {{ "1.0e+00", "1.20e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.20e+01", "1.0e+00" }},
+ {{ "1.250e+00", "1.20e+01", "1.45519152283668518066406250e+01" }},
+ {{ "-1.250e+00", "1.20e+01", "1.45519152283668518066406250e+01" }},
+ {{ "5.5250e+01", "1.20e+01", "8.090724037426287261142347479462623596191406250e+20" }},
+ {{ "-5.5250e+01", "1.20e+01", "8.090724037426287261142347479462623596191406250e+20" }},
+ {{ "1.250e-01", "1.30e+01", "1.8189894035458564758300781250e-12" }},
+ {{ "-1.250e-01", "1.30e+01", "-1.8189894035458564758300781250e-12" }},
+ {{ "7.50e-01", "1.30e+01", "2.3757264018058776855468750e-02" }},
+ {{ "-7.50e-01", "1.30e+01", "-2.3757264018058776855468750e-02" }},
+ {{ "1.0e+00", "1.30e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.30e+01", "-1.0e+00" }},
+ {{ "1.250e+00", "1.30e+01", "1.8189894035458564758300781250e+01" }},
+ {{ "-1.250e+00", "1.30e+01", "-1.8189894035458564758300781250e+01" }},
+ {{ "5.5250e+01", "1.30e+01", "4.4701250306780237117811469824030995368957519531250e+22" }},
+ {{ "-5.5250e+01", "1.30e+01", "-4.4701250306780237117811469824030995368957519531250e+22" }},
+ {{ "1.250e-01", "1.40e+01", "2.273736754432320594787597656250e-13" }},
+ {{ "-1.250e-01", "1.40e+01", "2.273736754432320594787597656250e-13" }},
+ {{ "7.50e-01", "1.40e+01", "1.781794801354408264160156250e-02" }},
+ {{ "-7.50e-01", "1.40e+01", "1.781794801354408264160156250e-02" }},
+ {{ "1.0e+00", "1.40e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.40e+01", "1.0e+00" }},
+ {{ "1.250e+00", "1.40e+01", "2.273736754432320594787597656250e+01" }},
+ {{ "-1.250e+00", "1.40e+01", "2.273736754432320594787597656250e+01" }},
+ {{ "5.5250e+01", "1.40e+01", "2.46974407944960810075908370777771249413490295410156250e+24" }},
+ {{ "-5.5250e+01", "1.40e+01", "2.46974407944960810075908370777771249413490295410156250e+24" }},
+ {{ "1.250e-01", "1.50e+01", "2.84217094304040074348449707031250e-14" }},
+ {{ "-1.250e-01", "1.50e+01", "-2.84217094304040074348449707031250e-14" }},
+ {{ "7.50e-01", "1.50e+01", "1.33634610101580619812011718750e-02" }},
+ {{ "-7.50e-01", "1.50e+01", "-1.33634610101580619812011718750e-02" }},
+ {{ "1.0e+00", "1.50e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.50e+01", "-1.0e+00" }},
+ {{ "1.250e+00", "1.50e+01", "2.84217094304040074348449707031250e+01" }},
+ {{ "-1.250e+00", "1.50e+01", "-2.84217094304040074348449707031250e+01" }},
+ {{ "5.5250e+01", "1.50e+01", "1.364533603895908475669393748547186153009533882141113281250e+26" }},
+ {{ "-5.5250e+01", "1.50e+01", "-1.364533603895908475669393748547186153009533882141113281250e+26" }},
+ {{ "1.250e-01", "1.60e+01", "3.5527136788005009293556213378906250e-15" }},
+ {{ "-1.250e-01", "1.60e+01", "3.5527136788005009293556213378906250e-15" }},
+ {{ "7.50e-01", "1.60e+01", "1.0022595757618546485900878906250e-02" }},
+ {{ "-7.50e-01", "1.60e+01", "1.0022595757618546485900878906250e-02" }},
+ {{ "1.0e+00", "1.60e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.60e+01", "1.0e+00" }},
+ {{ "1.250e+00", "1.60e+01", "3.5527136788005009293556213378906250e+01" }},
+ {{ "-1.250e+00", "1.60e+01", "3.5527136788005009293556213378906250e+01" }},
+ {{ "5.5250e+01", "1.60e+01", "7.539048161524894328073400460723203495377674698829650878906250e+27" }},
+ {{ "-5.5250e+01", "1.60e+01", "7.539048161524894328073400460723203495377674698829650878906250e+27" }},
+ {{ "1.250e-01", "1.70e+01", "4.440892098500626161694526672363281250e-16" }},
+ {{ "-1.250e-01", "1.70e+01", "-4.440892098500626161694526672363281250e-16" }},
+ {{ "7.50e-01", "1.70e+01", "7.51694681821390986442565917968750e-03" }},
+ {{ "-7.50e-01", "1.70e+01", "-7.51694681821390986442565917968750e-03" }},
+ {{ "1.0e+00", "1.70e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.70e+01", "-1.0e+00" }},
+ {{ "1.250e+00", "1.70e+01", "4.440892098500626161694526672363281250e+01" }},
+ {{ "-1.250e+00", "1.70e+01", "-4.440892098500626161694526672363281250e+01" }},
+ {{ "5.5250e+01", "1.70e+01", "4.1653241092425041162605537545495699311961652711033821105957031250e+29" }},
+ {{ "-5.5250e+01", "1.70e+01", "-4.1653241092425041162605537545495699311961652711033821105957031250e+29" }},
+ {{ "1.250e-01", "1.80e+01", "5.55111512312578270211815834045410156250e-17" }},
+ {{ "-1.250e-01", "1.80e+01", "5.55111512312578270211815834045410156250e-17" }},
+ {{ "7.50e-01", "1.80e+01", "5.6377101136604323983192443847656250e-03" }},
+ {{ "-7.50e-01", "1.80e+01", "5.6377101136604323983192443847656250e-03" }},
+ {{ "1.0e+00", "1.80e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.80e+01", "1.0e+00" }},
+ {{ "1.250e+00", "1.80e+01", "5.55111512312578270211815834045410156250e+01" }},
+ {{ "-1.250e+00", "1.80e+01", "5.55111512312578270211815834045410156250e+01" }},
+ {{ "5.5250e+01", "1.80e+01", "2.30134157035648352423395594938863738698588131228461861610412597656250e+31" }},
+ {{ "-5.5250e+01", "1.80e+01", "2.30134157035648352423395594938863738698588131228461861610412597656250e+31" }},
+ {{ "1.250e-01", "1.90e+01", "6.9388939039072283776476979255676269531250e-18" }},
+ {{ "-1.250e-01", "1.90e+01", "-6.9388939039072283776476979255676269531250e-18" }},
+ {{ "7.50e-01", "1.90e+01", "4.228282585245324298739433288574218750e-03" }},
+ {{ "-7.50e-01", "1.90e+01", "-4.228282585245324298739433288574218750e-03" }},
+ {{ "1.0e+00", "1.90e+01", "1.0e+00" }},
+ {{ "-1.0e+00", "1.90e+01", "-1.0e+00" }},
+ {{ "1.250e+00", "1.90e+01", "6.9388939039072283776476979255676269531250e+01" }},
+ {{ "-1.250e+00", "1.90e+01", "-6.9388939039072283776476979255676269531250e+01" }},
+ {{ "5.5250e+01", "1.90e+01", "1.271491217621957147139260662037222156309699425037251785397529602050781250e+33" }},
+ {{ "-5.5250e+01", "1.90e+01", "-1.271491217621957147139260662037222156309699425037251785397529602050781250e+33" }},
+ {{ "-1", "18446744073709551615", "-1", }},
+ {{ "-1", "18446744073709551614", "1", }},
    }};

    unsigned max_err = 0;
@@ -570,6 +773,13 @@
       {
          max_err = err;
       }
+ val = pow(T(data[k][0]), -T(data[k][1]));
+ e = relative_error(val, T(1/T(data[k][2])));
+ err = e.template convert_to<unsigned>();
+ if(err > max_err)
+ {
+ max_err = err;
+ }
    }
    std::cout << "Max error was: " << max_err << std::endl;
    //

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