Enable one more noexcept test

* Make functions constexpr.
* Make functions noexcept where appropriate.
* Add test case for the above.

doc/Jamfile.v2

@@ -53,4 +53,8 @@ boostbook standalone
 install pdfinstall : standalone/<format>pdf : <location>. <install-type>PDF ;
 explicit pdfinstall ;
 
-
+###############################################################################
+alias boostdoc ;
+explicit boostdoc ;
+alias boostrelease : standalone ;
+explicit boostrelease ;

doc/gcd/math-gcd.qbk

@@ -24,9 +24,9 @@ programming problems.
       class lcm_evaluator;
 
    template < typename IntegerType >
-      IntegerType  gcd( IntegerType const &a, IntegerType const &b );
+      constexpr IntegerType  gcd( IntegerType const &a, IntegerType const &b );
    template < typename IntegerType >
-      IntegerType  lcm( IntegerType const &a, IntegerType const &b );
+      constexpr IntegerType  lcm( IntegerType const &a, IntegerType const &b );
 
    typedef ``['see-below]`` static_gcd_type;
 
@@ -54,8 +54,9 @@ programming problems.
       typedef IntegerType  second_argument_type;
 
       // Function object interface
-      result_type  operator ()( first_argument_type const &a,
+      constexpr result_type  operator ()( 
-      second_argument_type const &b ) const;
+	     first_argument_type const &a,
+         second_argument_type const &b ) const;
    };
 
 The boost::math::gcd_evaluator class template defines a function object
@@ -70,6 +71,9 @@ the GCD function template. If a numeric type wants to customize evaluations
 of its greatest common divisors, then the type should specialize on the
 gcd_evaluator class template.
 
+Note that these function objects are `constexpr` in C++14 and later only.  
+They are also declared `noexcept` when appropriate.
+
 [endsect]
 
 [section LCM Function Object]
@@ -86,8 +90,9 @@ gcd_evaluator class template.
       typedef IntegerType  second_argument_type;
 
       // Function object interface
-      result_type  operator ()( first_argument_type const &a,
+      constexpr result_type  operator ()( 
-      second_argument_type const &b ) const;
+		first_argument_type const &a,
+		second_argument_type const &b ) const;
    };
 
 The boost::math::lcm_evaluator class template defines a function object
@@ -103,6 +108,9 @@ of the LCM function template. If a numeric type wants to customize
 evaluations of its least common multiples, then the type should
 specialize on the lcm_evaluator class template.
 
+Note that these function objects are constexpr in C++14 and later only.
+They are also declared `noexcept` when appropriate.
+
 [endsect]
 
 [section:run_time Run-time GCD & LCM Determination]
@@ -110,10 +118,10 @@ specialize on the lcm_evaluator class template.
 [*Header: ] [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>]
 
    template < typename IntegerType >
-   IntegerType  boost::math::gcd( IntegerType const &a, IntegerType const &b );
+   constexpr IntegerType  boost::math::gcd( IntegerType const &a, IntegerType const &b );
 
    template < typename IntegerType >
-   IntegerType  boost::math::lcm( IntegerType const &a, IntegerType const &b );
+   constexpr IntegerType  boost::math::lcm( IntegerType const &a, IntegerType const &b );
 
 The boost::math::gcd function template returns the greatest common
 (nonnegative) divisor of the two integers passed to it.
@@ -124,6 +132,9 @@ IntegerType, which is also the return type. Internally, these function
 templates use an object of the corresponding version of the
 gcd_evaluator and lcm_evaluator class templates, respectively.
 
+Note that these functions are constexpr in C++14 and later only.
+They are also declared `noexcept` when appropriate.
+
 [endsect]
 
 [section:compile_time Compile time GCD and LCM determination]

doc/html/boost_integer/cstdint.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>Removed from library: Standard Integer Types</title>
 <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
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 <link rel="up" href="../index.html" title="Boost.Integer">
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doc/html/boost_integer/history.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>History</title>
 <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
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 <link rel="up" href="../index.html" title="Boost.Integer">
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doc/html/boost_integer/integer.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>Integer Type Selection</title>
 <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
 <link rel="home" href="../index.html" title="Boost.Integer">
 <link rel="up" href="../index.html" title="Boost.Integer">
 <link rel="prev" href="traits.html" title="Integer Traits">
@@ -26,7 +26,7 @@
 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
 <a name="boost_integer.integer"></a><a class="link" href="integer.html" title="Integer Type Selection">Integer Type Selection</a>
 </h2></div></div></div>
-<div class="toc"><dl class="toc">
+<div class="toc"><dl>
 <dt><span class="section"><a href="integer.html#boost_integer.integer.synopsis">Synopsis</a></span></dt>
 <dt><span class="section"><a href="integer.html#boost_integer.integer.easiest">Easiest-to-Manipulate
       Types</a></span></dt>

doc/html/boost_integer/log2.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>Compile Time log2 Calculation</title>
 <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
 <link rel="home" href="../index.html" title="Boost.Integer">
 <link rel="up" href="../index.html" title="Boost.Integer">
 <link rel="prev" href="mask.html" title="Integer Masks">
@@ -26,7 +26,7 @@
 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
 <a name="boost_integer.log2"></a><a class="link" href="log2.html" title="Compile Time log2 Calculation">Compile Time log2 Calculation</a>
 </h2></div></div></div>
-<div class="toc"><dl class="toc">
+<div class="toc"><dl>
 <dt><span class="section"><a href="log2.html#boost_integer.log2.synopsis">Synopsis</a></span></dt>
 <dt><span class="section"><a href="log2.html#boost_integer.log2.usage">Usage</a></span></dt>
 <dt><span class="section"><a href="log2.html#boost_integer.log2.demonstration_program">Demonstration

doc/html/boost_integer/mask.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>Integer Masks</title>
 <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
 <link rel="home" href="../index.html" title="Boost.Integer">
 <link rel="up" href="../index.html" title="Boost.Integer">
 <link rel="prev" href="integer.html" title="Integer Type Selection">
@@ -26,7 +26,7 @@
 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
 <a name="boost_integer.mask"></a><a class="link" href="mask.html" title="Integer Masks">Integer Masks</a>
 </h2></div></div></div>
-<div class="toc"><dl class="toc">
+<div class="toc"><dl>
 <dt><span class="section"><a href="mask.html#boost_integer.mask.overview">Overview</a></span></dt>
 <dt><span class="section"><a href="mask.html#boost_integer.mask.synopsis">Synopsis</a></span></dt>
 <dt><span class="section"><a href="mask.html#boost_integer.mask.single_bit_mask_class_template">Single

doc/html/boost_integer/minmax.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>Compile time min/max calculation</title>
 <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
 <link rel="home" href="../index.html" title="Boost.Integer">
 <link rel="up" href="../index.html" title="Boost.Integer">
 <link rel="prev" href="log2.html" title="Compile Time log2 Calculation">
@@ -26,7 +26,7 @@
 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
 <a name="boost_integer.minmax"></a><a class="link" href="minmax.html" title="Compile time min/max calculation">Compile time min/max calculation</a>
 </h2></div></div></div>
-<div class="toc"><dl class="toc">
+<div class="toc"><dl>
 <dt><span class="section"><a href="minmax.html#boost_integer.minmax.synopsis">Synopsis</a></span></dt>
 <dt><span class="section"><a href="minmax.html#boost_integer.minmax.usage">Usage</a></span></dt>
 <dt><span class="section"><a href="minmax.html#boost_integer.minmax.example">Example</a></span></dt>

doc/html/boost_integer/traits.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>Integer Traits</title>
 <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
 <link rel="home" href="../index.html" title="Boost.Integer">
 <link rel="up" href="../index.html" title="Boost.Integer">
 <link rel="prev" href="../index.html" title="Boost.Integer">
@@ -26,7 +26,7 @@
 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
 <a name="boost_integer.traits"></a><a class="link" href="traits.html" title="Integer Traits">Integer Traits</a>
 </h2></div></div></div>
-<div class="toc"><dl class="toc">
+<div class="toc"><dl>
 <dt><span class="section"><a href="traits.html#boost_integer.traits.motivation">Motivation</a></span></dt>
 <dt><span class="section"><a href="traits.html#boost_integer.traits.synopsis">Synopsis</a></span></dt>
 <dt><span class="section"><a href="traits.html#boost_integer.traits.description">Description</a></span></dt>

doc/html/index.html

@@ -3,7 +3,7 @@
 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
 <title>Boost.Integer</title>
 <link rel="stylesheet" href="../../../../doc/src/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
 <link rel="home" href="index.html" title="Boost.Integer">
 <link rel="next" href="boost_integer/traits.html" title="Integer Traits">
 </head>
@@ -50,7 +50,7 @@
 </div>
 <div class="toc">
 <p><b>Table of Contents</b></p>
-<dl class="toc">
+<dl>
 <dt><span class="section"><a href="index.html#boost_integer.overview">Overview</a></span></dt>
 <dt><span class="section"><a href="boost_integer/traits.html">Integer Traits</a></span></dt>
 <dt><span class="section"><a href="boost_integer/integer.html">Integer Type Selection</a></span></dt>
@@ -219,7 +219,7 @@
 </div>
 </div>
 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left"><p><small>Last revised: June 01, 2014 at 19:57:36 GMT</small></p></td>
+<td align="left"><p><small>Last revised: March 28, 2017 at 17:56:42 GMT</small></p></td>
 <td align="right"><div class="copyright-footer"></div></td>
 </tr></table>
 <hr>

include/boost/integer.hpp

@@ -91,7 +91,8 @@ namespace boost
   template <> struct exact_signed_base_helper<sizeof(int)* CHAR_BIT> { typedef int exact; };
   template <> struct exact_unsigned_base_helper<sizeof(unsigned int)* CHAR_BIT> { typedef unsigned int exact; };
 #endif
-#if ULONG_MAX != UINT_MAX
+#if ULONG_MAX != UINT_MAX && ( !defined __TI_COMPILER_VERSION__ || \
+    ( __TI_COMPILER_VERSION__ >= 7000000 && !defined __TI_40BIT_LONG__ ) )
   template <> struct exact_signed_base_helper<sizeof(long)* CHAR_BIT> { typedef long exact; };
   template <> struct exact_unsigned_base_helper<sizeof(unsigned long)* CHAR_BIT> { typedef unsigned long exact; };
 #endif
@@ -166,7 +167,7 @@ namespace boost
   //  integer templates specifying extreme value  ----------------------------//
 
   //  signed
-#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
+#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
   template< boost::long_long_type MaxValue >   // maximum value to require support
 #else
   template< long MaxValue >   // maximum value to require support
@@ -175,7 +176,7 @@ namespace boost
   {
       typedef typename boost::detail::int_least_helper
         <
-#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
+#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
           (MaxValue <= ::boost::integer_traits<boost::long_long_type>::const_max) +
 #else
            1 +
@@ -188,7 +189,7 @@ namespace boost
       typedef typename int_fast_t<least>::type  fast;
   };
 
-#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
+#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
   template< boost::long_long_type MinValue >   // minimum value to require support
 #else
   template< long MinValue >   // minimum value to require support
@@ -197,7 +198,7 @@ namespace boost
   {
       typedef typename boost::detail::int_least_helper
         <
-#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
+#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
           (MinValue >= ::boost::integer_traits<boost::long_long_type>::const_min) +
 #else
            1 +

include/boost/integer/common_factor_rt.hpp

@@ -22,6 +22,10 @@
 #include <climits>           // for CHAR_MIN
 #include <boost/detail/workaround.hpp>
 
+#ifndef  BOOST_NO_CXX11_NOEXCEPT
+#include <boost/type_traits/is_arithmetic.hpp>
+#endif
+
 #ifdef BOOST_MSVC
 #pragma warning(push)
 #pragma warning(disable:4127 4244)  // Conditional expression is constant
@@ -32,14 +36,15 @@ namespace boost
 namespace integer
 {
 
+#define BOOST_INT_NOEXCEPT(T) BOOST_NOEXCEPT_IF(boost::is_arithmetic<T>::value)
 
 //  Forward declarations for function templates  -----------------------------//
 
 template < typename IntegerType >
-    IntegerType  gcd( IntegerType const &a, IntegerType const &b );
+BOOST_CXX14_CONSTEXPR IntegerType  gcd( IntegerType const &a, IntegerType const &b )BOOST_INT_NOEXCEPT(IntegerType);
 
 template < typename IntegerType >
-    IntegerType  lcm( IntegerType const &a, IntegerType const &b );
+BOOST_CXX14_CONSTEXPR IntegerType  lcm( IntegerType const &a, IntegerType const &b )BOOST_INT_NOEXCEPT(IntegerType);
 
 
 //  Greatest common divisor evaluator class declaration  ---------------------//
@@ -52,8 +57,8 @@ public:
     typedef IntegerType  result_type, first_argument_type, second_argument_type;
 
     // Function object interface
-    result_type  operator ()( first_argument_type const &a,
+    BOOST_CXX14_CONSTEXPR result_type  operator ()( first_argument_type const &a,
-     second_argument_type const &b ) const;
+     second_argument_type const &b )const BOOST_INT_NOEXCEPT(IntegerType) ;
 
 };  // boost::integer::gcd_evaluator
 
@@ -68,8 +73,8 @@ public:
     typedef IntegerType  result_type, first_argument_type, second_argument_type;
 
     // Function object interface
-    result_type  operator ()( first_argument_type const &a,
+    BOOST_CXX14_CONSTEXPR result_type  operator ()( first_argument_type const &a,
-     second_argument_type const &b ) const;
+     second_argument_type const &b )const BOOST_INT_NOEXCEPT(IntegerType) ;
 
 };  // boost::integer::lcm_evaluator
 
@@ -80,12 +85,12 @@ namespace detail
 {
     // Greatest common divisor for rings (including unsigned integers)
     template < typename RingType >
-    RingType
+    BOOST_CXX14_CONSTEXPR RingType
     gcd_euclidean
     (
         RingType a,
         RingType b
-    )
+    )BOOST_INT_NOEXCEPT(RingType)
     {
         // Avoid repeated construction
         #ifndef __BORLANDC__
@@ -110,12 +115,12 @@ namespace detail
     // Greatest common divisor for (signed) integers
     template < typename IntegerType >
     inline
-    IntegerType
+    BOOST_CXX14_CONSTEXPR IntegerType
     gcd_integer
     (
         IntegerType const &  a,
         IntegerType const &  b
-    )
+    )BOOST_INT_NOEXCEPT(IntegerType)
     {
         // Avoid repeated construction
         IntegerType const  zero = static_cast<IntegerType>( 0 );
@@ -126,12 +131,12 @@ namespace detail
 
     // Greatest common divisor for unsigned binary integers
     template < typename BuiltInUnsigned >
-    BuiltInUnsigned
+    BOOST_CXX14_CONSTEXPR BuiltInUnsigned
     gcd_binary
     (
         BuiltInUnsigned  u,
         BuiltInUnsigned  v
-    )
+    )BOOST_INT_NOEXCEPT(BuiltInUnsigned)
     {
         if ( u && v )
         {
@@ -190,12 +195,12 @@ namespace detail
     // Least common multiple for rings (including unsigned integers)
     template < typename RingType >
     inline
-    RingType
+    BOOST_CXX14_CONSTEXPR RingType
     lcm_euclidean
     (
         RingType const &  a,
         RingType const &  b
-    )
+    )BOOST_INT_NOEXCEPT(RingType)
     {
         RingType const  zero = static_cast<RingType>( 0 );
         RingType const  temp = gcd_euclidean( a, b );
@@ -205,13 +210,13 @@ namespace detail
 
     // Least common multiple for (signed) integers
     template < typename IntegerType >
-    inline
+    inline BOOST_CXX14_CONSTEXPR
     IntegerType
     lcm_integer
     (
         IntegerType const &  a,
         IntegerType const &  b
-    )
+    )BOOST_INT_NOEXCEPT(IntegerType)
     {
         // Avoid repeated construction
         IntegerType const  zero = static_cast<IntegerType>( 0 );
@@ -225,7 +230,7 @@ namespace detail
     template < typename T, bool IsSpecialized, bool IsSigned >
     struct gcd_optimal_evaluator_helper_t
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             return gcd_euclidean( a, b );
         }
@@ -234,7 +239,7 @@ namespace detail
     template < typename T >
     struct gcd_optimal_evaluator_helper_t< T, true, true >
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             return gcd_integer( a, b );
         }
@@ -243,7 +248,7 @@ namespace detail
     template < typename T >
     struct gcd_optimal_evaluator
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             typedef ::std::numeric_limits<T>  limits_type;
 
@@ -259,7 +264,7 @@ namespace detail
     template < typename T >
     struct gcd_optimal_evaluator
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             return gcd_integer( a, b );
         }
@@ -269,7 +274,7 @@ namespace detail
     // Specialize for the built-in integers
 #define BOOST_PRIVATE_GCD_UF( Ut )                  \
     template < >  struct gcd_optimal_evaluator<Ut>  \
-    {  Ut  operator ()( Ut a, Ut b ) const  { return gcd_binary( a, b ); }  }
+    {  BOOST_CXX14_CONSTEXPR Ut  operator ()( Ut a, Ut b ) const BOOST_INT_NOEXCEPT(Ut)   { return gcd_binary( a, b ); }  }
 
     BOOST_PRIVATE_GCD_UF( unsigned char );
     BOOST_PRIVATE_GCD_UF( unsigned short );
@@ -290,7 +295,7 @@ namespace detail
 
 #define BOOST_PRIVATE_GCD_SF( St, Ut )                            \
     template < >  struct gcd_optimal_evaluator<St>                \
-    {  St  operator ()( St a, St b ) const  { Ut const  a_abs =   \
+    {  BOOST_CXX14_CONSTEXPR St  operator ()( St a, St b ) const BOOST_INT_NOEXCEPT(St)   { Ut const  a_abs =   \
     static_cast<Ut>( a < 0 ? -a : +a ), b_abs = static_cast<Ut>(  \
     b < 0 ? -b : +b ); return static_cast<St>(                    \
     gcd_optimal_evaluator<Ut>()(a_abs, b_abs) ); }  }
@@ -316,7 +321,7 @@ namespace detail
     template < typename T, bool IsSpecialized, bool IsSigned >
     struct lcm_optimal_evaluator_helper_t
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             return lcm_euclidean( a, b );
         }
@@ -325,7 +330,7 @@ namespace detail
     template < typename T >
     struct lcm_optimal_evaluator_helper_t< T, true, true >
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             return lcm_integer( a, b );
         }
@@ -334,7 +339,7 @@ namespace detail
     template < typename T >
     struct lcm_optimal_evaluator
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             typedef ::std::numeric_limits<T>  limits_type;
 
@@ -350,7 +355,7 @@ namespace detail
     template < typename T >
     struct lcm_optimal_evaluator
     {
-        T  operator ()( T const &a, T const &b )
+        BOOST_CXX14_CONSTEXPR T  operator ()( T const &a, T const &b )BOOST_INT_NOEXCEPT(T)
         {
             return lcm_integer( a, b );
         }
@@ -359,13 +364,13 @@ namespace detail
 
     // Functions to find the GCD or LCM in the best way
     template < typename T >
-    inline
+    inline BOOST_CXX14_CONSTEXPR
     T
     gcd_optimal
     (
         T const &  a,
         T const &  b
-    )
+    )BOOST_INT_NOEXCEPT(T)
     {
         gcd_optimal_evaluator<T>  solver;
 
@@ -373,13 +378,13 @@ namespace detail
     }
 
     template < typename T >
-    inline
+    inline BOOST_CXX14_CONSTEXPR
     T
     lcm_optimal
     (
         T const &  a,
         T const &  b
-    )
+    )BOOST_INT_NOEXCEPT(T)
     {
         lcm_optimal_evaluator<T>  solver;
 
@@ -392,13 +397,13 @@ namespace detail
 //  Greatest common divisor evaluator member function definition  ------------//
 
 template < typename IntegerType >
-inline
+inline BOOST_CXX14_CONSTEXPR
 typename gcd_evaluator<IntegerType>::result_type
 gcd_evaluator<IntegerType>::operator ()
 (
     first_argument_type const &   a,
     second_argument_type const &  b
-) const
+) const BOOST_INT_NOEXCEPT(IntegerType) 
 {
     return detail::gcd_optimal( a, b );
 }
@@ -407,13 +412,13 @@ gcd_evaluator<IntegerType>::operator ()
 //  Least common multiple evaluator member function definition  --------------//
 
 template < typename IntegerType >
-inline
+inline BOOST_CXX14_CONSTEXPR
 typename lcm_evaluator<IntegerType>::result_type
 lcm_evaluator<IntegerType>::operator ()
 (
     first_argument_type const &   a,
     second_argument_type const &  b
-) const
+) const BOOST_INT_NOEXCEPT(IntegerType) 
 {
     return detail::lcm_optimal( a, b );
 }
@@ -422,13 +427,13 @@ lcm_evaluator<IntegerType>::operator ()
 //  Greatest common divisor and least common multiple function definitions  --//
 
 template < typename IntegerType >
-inline
+inline BOOST_CXX14_CONSTEXPR
 IntegerType
 gcd
 (
     IntegerType const &  a,
     IntegerType const &  b
-)
+) BOOST_INT_NOEXCEPT(IntegerType)
 {
     gcd_evaluator<IntegerType>  solver;
 
@@ -436,13 +441,13 @@ gcd
 }
 
 template < typename IntegerType >
-inline
+inline BOOST_CXX14_CONSTEXPR
 IntegerType
 lcm
 (
     IntegerType const &  a,
     IntegerType const &  b
-)
+) BOOST_INT_NOEXCEPT(IntegerType)
 {
     lcm_evaluator<IntegerType>  solver;
 

include/boost/integer/integer_mask.hpp

@@ -63,7 +63,7 @@ struct low_bits_mask_t
     typedef typename uint_t<Bits>::least  least;
     typedef typename uint_t<Bits>::fast   fast;
 
-    BOOST_STATIC_CONSTANT( least, sig_bits = (~( ~(least( 0u )) << Bits )) );
+    BOOST_STATIC_CONSTANT( least, sig_bits = (~(least(~(least( 0u ))) << Bits )) );
     BOOST_STATIC_CONSTANT( fast, sig_bits_fast = fast(sig_bits) );
 
     BOOST_STATIC_CONSTANT( std::size_t, bit_count = Bits );

include/boost/integer_fwd.hpp

@@ -159,6 +159,8 @@ template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Valu
     struct static_unsigned_max;
 
 
+namespace integer
+{
 //  From <boost/integer/common_factor_ct.hpp>
 
 #ifdef BOOST_NO_INTEGRAL_INT64_T
@@ -180,6 +182,7 @@ template < typename IntegerType >
 template < typename IntegerType >
     class lcm_evaluator;
 
+} // namespace integer
 
 }  // namespace boost
 

test/Jamfile.v2

@@ -19,11 +19,13 @@ test-suite integer
         [ compile static_log2_include_test.cpp ]
         [ compile static_min_max_include_test.cpp ]
         [ compile integer_fwd_include_test.cpp ]
+		[ compile gcd_constexpr14_test.cpp ]
         [ compile-fail fail_int_exact.cpp ]
         [ compile-fail fail_int_fast.cpp ]
         [ compile-fail fail_int_least.cpp ]
         [ compile-fail fail_uint_exact.cpp ]
         [ compile-fail fail_uint_fast.cpp ]
         [ compile-fail fail_uint_least.cpp ]
+        [ compile-fail fail_uint_65.cpp ]
         [ run common_factor_test.cpp ]
     ;

test/fail_uint_65.cpp

@@ -0,0 +1,13 @@
+//  Copyright John Maddock 2012.
+//  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_0.txt)
+
+#include <boost/integer.hpp>
+#include <iostream>
+
+int main()
+{
+ std::cout << std::numeric_limits<boost::uint_t<65>::least>::digits;
+ return 0;
+}

test/gcd_constexpr14_test.cpp

@@ -0,0 +1,42 @@
+
+//  (C) Copyright John Maddock 2017.
+//  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_0.txt)
+
+#include <boost/integer/common_factor.hpp>
+
+#ifndef BOOST_NO_CXX14_CONSTEXPR
+
+void test_constexpr()
+{
+   constexpr const boost::int64_t i = 347 * 463 * 727;
+   constexpr const boost::int64_t j = 191 * 347 * 281;
+
+   constexpr const boost::int64_t k = boost::integer::gcd(i, j);
+   constexpr const boost::int64_t l = boost::integer::lcm(i, j);
+
+   static_assert(k == 347, "Expected result not found in constexpr gcd.");
+   static_assert(l == 6268802158037, "Expected result not found in constexpr lcm.");
+}
+
+#endif
+
+#ifndef BOOST_NO_CXX11_NOEXCEPT
+
+void test_noexcept()
+{
+   static_assert(noexcept(boost::integer::gcd(static_cast<unsigned char>(2), static_cast<unsigned char>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<char>(2), static_cast<char>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<signed char>(2), static_cast<signed char>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<short>(2), static_cast<short>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<unsigned short>(2), static_cast<unsigned short>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<int>(2), static_cast<int>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<unsigned int>(2), static_cast<unsigned int>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<long>(2), static_cast<long>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<unsigned long>(2), static_cast<unsigned long>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<long long>(2), static_cast<long long>(4))), "Expected a noexcept function.");
+   static_assert(noexcept(boost::integer::gcd(static_cast<unsigned long long>(2), static_cast<unsigned long long>(4))), "Expected a noexcept function.");
+}
+
+#endif

test/integer_test.cpp

@@ -18,6 +18,7 @@
 #include <boost/detail/lightweight_test.hpp>  // for main, BOOST_TEST
 #include <boost/integer.hpp>  // for boost::int_t, boost::uint_t
 #include <boost/type_traits/is_same.hpp>
+#include <boost/mpl/bool.hpp> // for mpl::true_ and false_
 
 #include <climits>   // for ULONG_MAX, LONG_MAX, LONG_MIN
 #include <iostream>  // for std::cout (std::endl indirectly)