ratio: New, per N2661.

2008-07-04  Chris Fairles  <chris.fairles@gmail.com>

	* include/std/ratio: New, per N2661.
	* include/Makefile.am: Update.
	* include/Makefile.in: Regenerate.
	* testsuite/20_util/ratio/cons/cons1.cc: New.
	* testsuite/20_util/ratio/cons/cons_overflow.cc: Likewise.
	* testsuite/20_util/ratio/operations/ops1.cc: Likewise.
	* testsuite/20_util/ratio/operations/ops2.cc: Likewise.
	* testsuite/20_util/ratio/operations/ops3.cc: Likewise.
	* testsuite/20_util/ratio/operations/ops_overflow.cc: Likewise.
	* testsuite/20_util/ratio/comparisons/comp1.cc: Likewise.

From-SVN: r137482

libstdc++-v3/ChangeLog

+2008-07-04  Chris Fairles  <chris.fairles@gmail.com>
+
+	* include/std/ratio: New, per N2661.
+	* include/Makefile.am: Update.
+	* include/Makefile.in: Regenerate.
+	* testsuite/20_util/ratio/cons/cons1.cc: New.
+	* testsuite/20_util/ratio/cons/cons_overflow.cc: Likewise.
+	* testsuite/20_util/ratio/operations/ops1.cc: Likewise.
+	* testsuite/20_util/ratio/operations/ops2.cc: Likewise.
+	* testsuite/20_util/ratio/operations/ops3.cc: Likewise.
+	* testsuite/20_util/ratio/operations/ops_overflow.cc: Likewise.
+	* testsuite/20_util/ratio/comparisons/comp1.cc: Likewise.
+
 2008-07-04  Paolo Carlini  <paolo.carlini@oracle.com>
 
 	PR libstdc++/36616

libstdc++-v3/include/Makefile.am

@@ -55,6 +55,7 @@ std_headers = \
 	${std_srcdir}/queue \
 	${std_srcdir}/random \
 	${std_srcdir}/regex \
+	${std_srcdir}/ratio \
 	${std_srcdir}/set \
 	${std_srcdir}/sstream \
 	${std_srcdir}/stack \

libstdc++-v3/include/Makefile.in

@@ -307,6 +307,7 @@ std_headers = \
 	${std_srcdir}/ostream \
 	${std_srcdir}/queue \
 	${std_srcdir}/random \
+	${std_srcdir}/ratio \
 	${std_srcdir}/regex \
 	${std_srcdir}/set \
 	${std_srcdir}/sstream \

libstdc++-v3/include/std/ratio

+// <ratio> -*- C++ -*-
+
+// Copyright (C) 2008 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the 
+// terms of the GNU General Public License as published by the 
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the 
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+// As a special exception, you may use this file as part of a free software
+// library without restriction.  Specifically, if other files instantiate
+// templates or use macros or inline functions from this file, or you compile
+// this file and link it with other files to produce an executable, this
+// file does not by itself cause the resulting executable to be covered by
+// the GNU General Public License.  This exception does not however
+// invalidate any other reasons why the executable file might be covered by
+// the GNU General Public License.
+
+/** @file ratio
+ *  This is a Standard C++ Library header.
+ */
+
+#ifndef _GLIBCXX_RATIO
+#define _GLIBCXX_RATIO 1
+
+#pragma GCC system_header
+
+#ifndef __GXX_EXPERIMENTAL_CXX0X__
+# include <c++0x_warning.h>
+#else
+
+#include <type_traits>
+#include <cstdint>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+namespace std
+{
+  template<intmax_t _Pn>
+    struct __static_sign
+    : integral_constant<intmax_t, (_Pn < 0) ? -1 : 1>
+    { };
+
+  template<intmax_t _Pn>
+    struct __static_abs
+    : integral_constant<intmax_t, _Pn * __static_sign<_Pn>::value>
+    { };
+
+  template<intmax_t _Pn, intmax_t _Qn>
+    struct __static_gcd;
+ 
+  template<intmax_t _Pn, intmax_t _Qn>
+    struct __static_gcd
+    : __static_gcd<_Qn, (_Pn % _Qn)>
+    { };
+
+  template<intmax_t _Pn>
+    struct __static_gcd<_Pn, 0>
+    : integral_constant<intmax_t, __static_abs<_Pn>::value>
+    { };
+
+  template<intmax_t _Qn>
+    struct __static_gcd<0, _Qn>
+    : integral_constant<intmax_t, __static_abs<_Qn>::value>
+    { };
+
+  // Let c = 2^(half # of bits in an intmax_t)
+  // then we find a1, a0, b1, b0 s.t. N = a1*c + a0, M = b1*c + b0
+  // The multiplication of N and M becomes,
+  // N * M = (a1 * b1)c^2 + (a0 * b1 + b0 * a1)c + a0 * b0
+  // Multiplication is safe if each term and the sum of the terms
+  // is representable by intmax_t.
+  template<intmax_t _Pn, intmax_t _Qn>
+    struct __safe_multiply
+    {
+    private:
+      static const uintmax_t __c = uintmax_t(1) << (sizeof(intmax_t) * 4);
+
+      static const uintmax_t __a0 = __static_abs<_Pn>::value % __c;
+      static const uintmax_t __a1 = __static_abs<_Pn>::value / __c;
+      static const uintmax_t __b0 = __static_abs<_Qn>::value % __c;
+      static const uintmax_t __b1 = __static_abs<_Qn>::value / __c;
+
+      static_assert(__a1 == 0 || __b1 == 0, 
+        "overflow in multiplication");
+      static_assert(__a0 * __b1 + __b0 * __a1 < (__c >> 1), 
+        "overflow in multiplication");
+      static_assert(__b0 * __a0 <= INTMAX_MAX, 
+        "overflow in multiplication");
+      static_assert((__a0 * __b1 + __b0 * __a1) * __c <= 
+        INTMAX_MAX -  __b0 * __a0, "overflow in multiplication");
+
+    public:
+      static const intmax_t value = _Pn * _Qn;
+    };
+
+  // Helpers for __safe_add
+  template<intmax_t _Pn, intmax_t _Qn, bool>
+    struct __add_overflow_check_impl
+    : integral_constant<bool, (_Pn <= INTMAX_MAX - _Qn)>
+    { };
+
+  template<intmax_t _Pn, intmax_t _Qn>
+    struct __add_overflow_check_impl<_Pn, _Qn, false>
+    : integral_constant<bool, (_Pn >= -INTMAX_MAX - _Qn)>
+    { };
+
+  template<intmax_t _Pn, intmax_t _Qn>
+    struct __add_overflow_check
+    : __add_overflow_check_impl<_Pn, _Qn, (_Qn >= 0)>
+    { };
+
+  template<intmax_t _Pn, intmax_t _Qn>
+    struct __safe_add
+    {
+      static_assert(__add_overflow_check<_Pn, _Qn>::value != 0, 
+        "overflow in addition");
+
+      static const intmax_t value = _Pn + _Qn;
+    };
+
+  template<intmax_t _Num, intmax_t _Den = 1>
+    struct ratio
+    {
+      static_assert(_Den != 0, "denominator cannot be zero");
+      static_assert(_Num > INTMAX_MIN && _Den > INTMAX_MIN, "out of range");
+      
+      // Note: sign(N) * abs(N) == N
+      static const intmax_t num =
+        _Num * __static_sign<_Den>::value / __static_gcd<_Num, _Den>::value;
+
+      static const intmax_t den =
+        __static_abs<_Den>::value / __static_gcd<_Num, _Den>::value;
+    };
+
+  template<intmax_t _Num, intmax_t _Den>
+    const intmax_t ratio<_Num, _Den>::num;
+
+  template<intmax_t _Num, intmax_t _Den>
+    const intmax_t ratio<_Num, _Den>::den;
+
+  template<typename _R1, typename _R2>
+    struct ratio_add
+    {
+    private:
+      static const intmax_t __gcd =
+        __static_gcd<_R1::den, _R2::den>::value;
+      
+    public:
+      typedef ratio<
+        __safe_add<
+          __safe_multiply<_R1::num, (_R2::den / __gcd)>::value,
+          __safe_multiply<_R2::num, (_R1::den / __gcd)>::value>::value,
+        __safe_multiply<_R1::den, (_R2::den / __gcd)>::value> type;
+    };
+
+  template<typename _R1, typename _R2>
+    struct ratio_subtract
+    {
+      typedef typename ratio_add<
+        _R1,
+        ratio<-_R2::num, _R2::den>>::type type;
+    };
+
+  template<typename _R1, typename _R2>
+    struct ratio_multiply
+    {
+    private:
+      static const intmax_t __gcd1 =
+        __static_gcd<_R1::num, _R2::den>::value;
+      static const intmax_t __gcd2 =
+        __static_gcd<_R2::num, _R1::den>::value;
+
+    public:
+      typedef ratio<
+        __safe_multiply<(_R1::num / __gcd1),
+                        (_R2::num / __gcd2)>::value,
+        __safe_multiply<(_R1::den / __gcd2),
+                        (_R2::den / __gcd1)>::value> type;
+    };
+
+  template<typename _R1, typename _R2>
+    struct ratio_divide
+    {
+      static_assert(_R2::num != 0, "division by 0");
+
+      typedef typename ratio_multiply<
+        _R1,
+        ratio<_R2::den, _R2::num>>::type type;
+    };
+
+  template<typename _R1, typename _R2>
+    struct ratio_equal
+    : integral_constant<bool, _R1::num == _R2::num && _R1::den == _R2::den>
+    { };
+  
+  template<typename _R1, typename _R2>
+    struct ratio_not_equal
+    : integral_constant<bool, !ratio_equal<_R1, _R2>::value>
+    { };
+  
+  template<typename _R1, typename _R2>
+    struct ratio_less
+    : integral_constant<bool,
+        (__safe_multiply<_R1::num, _R2::den>::value < 
+         __safe_multiply<_R2::num, _R1::den>::value)>        
+    { };
+    
+  template<typename _R1, typename _R2>
+    struct ratio_less_equal
+    : integral_constant<bool, !ratio_less<_R2, _R1>::value>
+    { };
+  
+  template<typename _R1, typename _R2>
+    struct ratio_greater
+    : integral_constant<bool, ratio_less<_R2, _R1>::value>
+    { };
+
+  template<typename _R1, typename _R2>
+    struct ratio_greater_equal
+    : integral_constant<bool, !ratio_less<_R1, _R2>::value>
+    { };
+
+  typedef ratio<1,       1000000000000000000> atto;
+  typedef ratio<1,          1000000000000000> femto;
+  typedef ratio<1,             1000000000000> pico;
+  typedef ratio<1,                1000000000> nano;
+  typedef ratio<1,                   1000000> micro;
+  typedef ratio<1,                      1000> milli;
+  typedef ratio<1,                       100> centi;
+  typedef ratio<1,                        10> deci;
+  typedef ratio<                       10, 1> deca;
+  typedef ratio<                      100, 1> hecto;
+  typedef ratio<                     1000, 1> kilo;
+  typedef ratio<                  1000000, 1> mega;
+  typedef ratio<               1000000000, 1> giga;
+  typedef ratio<            1000000000000, 1> tera;
+  typedef ratio<         1000000000000000, 1> peta;
+  typedef ratio<      1000000000000000000, 1> exa;
+}
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+
+#endif //__GXX_EXPERIMENTAL_CXX0X__
+
+#endif //_GLIBCXX_RATIO

libstdc++-v3/testsuite/20_util/ratio/comparisons/comp1.cc

+// { dg-options "-std=gnu++0x" }
+
+// Copyright (C) 2008 Free Software Foundation
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+#include <ratio>
+#include <testsuite_hooks.h>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+ 
+  VERIFY(( std::ratio_equal<std::ratio<2,6>, std::ratio<1,3>>::value == 1 ));
+  VERIFY(( std::ratio_equal<std::ratio<2,6>, std::ratio<1,4>>::value == 0 ));
+  
+  VERIFY(( std::ratio_not_equal<std::ratio<2,6>, 
+           std::ratio<1,3>>::value == 0 ));
+  VERIFY(( std::ratio_not_equal<std::ratio<2,6>, 
+           std::ratio<1,4>>::value == 1 ));
+}
+
+void
+test02()
+{
+  bool test __attribute__((unused)) = true;
+ 
+  VERIFY(( std::ratio_less<std::ratio<1,4>, std::ratio<1,3>>::value == 1 ));
+  VERIFY(( std::ratio_less<std::ratio<-1,3>, std::ratio<1,3>>::value == 1 ));
+  
+  VERIFY(( std::ratio_less<std::ratio<1,3>, std::ratio<1,4>>::value == 0 ));
+  VERIFY(( std::ratio_less<std::ratio<1,3>, std::ratio<-1,3>>::value == 0 ));
+      
+  VERIFY(( std::ratio_less_equal<std::ratio<-1,3>, 
+           std::ratio<-1,3>>::value == 1 ));
+  VERIFY(( std::ratio_less_equal<std::ratio<1,4>, 
+           std::ratio<1,3>>::value == 1 ));
+  
+  VERIFY(( std::ratio_less_equal<std::ratio<1,4>, 
+           std::ratio<-1,3>>::value == 0 ));
+  VERIFY(( std::ratio_less_equal<std::ratio<1,3>, 
+           std::ratio<-1,3>>::value == 0 ));
+  
+  VERIFY(( std::ratio_greater<std::ratio<1,3>, std::ratio<1,4>>::value == 1 ));
+  VERIFY(( std::ratio_greater<std::ratio<1,3>, std::ratio<-1,3>>::value == 1 ));
+  
+  VERIFY(( std::ratio_greater<std::ratio<1,4>, std::ratio<1,3>>::value == 0 ));
+  VERIFY(( std::ratio_greater<std::ratio<-1,3>, std::ratio<1,3>>::value == 0 ));
+
+  VERIFY(( std::ratio_greater_equal<std::ratio<1,3>, 
+           std::ratio<1,3>>::value == 1 ));
+  VERIFY(( std::ratio_greater_equal<std::ratio<1,3>, 
+           std::ratio<-1,3>>::value == 1 ));
+  
+  VERIFY(( std::ratio_greater_equal<std::ratio<-1,3>, 
+           std::ratio<1,3>>::value == 0 ));
+  VERIFY(( std::ratio_greater_equal<std::ratio<1,4>, 
+           std::ratio<1,3>>::value == 0 ));
+}
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+
+int main()
+{
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+  test01();
+  test02();
+#endif
+  return 0;
+}

libstdc++-v3/testsuite/20_util/ratio/cons/cons1.cc

+// { dg-options "-std=gnu++0x" }
+
+// 2008-07-03 Chris Fairles <chris.fairles@gmail.com>
+
+// Copyright (C) 2008 Free Software Foundation
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+#include <ratio>
+#include <testsuite_hooks.h>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  std::ratio<1,3> r0;
+  std::ratio<2,6> r1;  
+  std::ratio<2,-6> r2;
+  std::ratio<-2,6> r3;
+
+  VERIFY( r0.num == 1 );
+  VERIFY( r0.den == 3 );
+
+  VERIFY( r1.num == r0.num );
+  VERIFY( r1.den == r0.den );  
+  VERIFY( r2.num == -r0.num );
+  VERIFY( r2.den == r0.den ); 
+  VERIFY( r3.num == -r0.num );
+  VERIFY( r3.den == r0.den );  
+}
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+
+int main()
+{
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+  test01();
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+  return 0;
+}

libstdc++-v3/testsuite/20_util/ratio/cons/cons_overflow.cc

+// { dg-options "-std=gnu++0x" }
+// { dg-do compile }
+
+// Copyright (C) 2008 Free Software Foundation
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+#include <ratio>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+void
+test01()
+{
+  std::ratio<INTMAX_MAX, INTMAX_MAX> r1;
+  std::ratio<-INTMAX_MAX, INTMAX_MAX> r2;
+}
+
+void
+test02()
+{
+  std::ratio<INTMAX_MIN, 1> r1;
+}
+
+void
+test03()
+{
+  std::ratio<1, INTMAX_MIN> r1;
+}
+
+void
+test04()
+{
+  std::ratio<1,0> r1;
+}
+
+// { dg-error "instantiated from here" "" { target *-*-* } 36 }
+// { dg-error "instantiated from here" "" { target *-*-* } 42 }
+// { dg-error "instantiated from here" "" { target *-*-* } 48 }
+// { dg-error "denominator cannot be zero" "" { target *-*-* } 136 }
+// { dg-error "out of range" "" { target *-*-* } 137 }
+// { dg-excess-errors "In instantiation of" }
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1

libstdc++-v3/testsuite/20_util/ratio/operations/ops1.cc

+// { dg-options "-std=gnu++0x" }
+
+// 2008-07-03 Chris Fairles <chris.fairles@gmail.com>
+
+// Copyright (C) 2008 Free Software Foundation
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+#include <ratio>
+#include <testsuite_hooks.h>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  std::ratio_add<std::ratio<3,8>, std::ratio<5,12>>::type r;
+
+  VERIFY( r.num == 19);
+  VERIFY( r.den == 24);
+}
+
+void
+test02()
+{  
+  bool test __attribute__((unused)) = true;
+  std::ratio_subtract<std::ratio<3,8>, std::ratio<5,12>>::type r;
+
+  VERIFY( r.num == -1);
+  VERIFY( r.den == 24);
+}
+
+void
+test03()
+{
+  bool test __attribute__((unused)) = true;
+  std::ratio_multiply<std::ratio<3,8>, std::ratio<5,12>>::type r;
+
+  VERIFY( r.num == 5);
+  VERIFY( r.den == 32);
+}
+
+void
+test04()
+{
+  bool test __attribute__((unused)) = true;
+  std::ratio_divide<std::ratio<3,8>, std::ratio<5,12>>::type r;
+
+  VERIFY( r.num == 9);
+  VERIFY( r.den == 10);
+}
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+
+int main()
+{
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+  test01();
+  test02();
+  test03();
+  test04();
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+  return 0;
+}

libstdc++-v3/testsuite/20_util/ratio/operations/ops2.cc

+// { dg-options "-std=gnu++0x" }
+
+// 2008-07-03 Chris Fairles <chris.fairles@gmail.com>
+
+// Copyright (C) 2008 Free Software Foundation
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+#include <ratio>
+#include <testsuite_hooks.h>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+typedef std::ratio<1, INTMAX_MAX> one_over_max;
+typedef std::ratio<2, INTMAX_MAX> two_over_max;
+typedef std::ratio<INTMAX_MAX, 1> max_over_one;
+typedef std::ratio<INTMAX_MAX, 2> max_over_two;
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  std::ratio_add<one_over_max, one_over_max>::type r1;
+
+  VERIFY( r1.num == two_over_max::num);
+  VERIFY( r1.den == two_over_max::den);
+
+  std::ratio_add<
+    std::ratio<INTMAX_MAX / 2, INTMAX_MAX / 2>,
+    std::ratio<INTMAX_MAX / 2 , INTMAX_MAX / 2 + 1>>::type r2;
+  
+  VERIFY( r2.num == INTMAX_MAX);
+  VERIFY( r2.den == (INTMAX_MAX / 2) + 1);
+}
+
+void
+test02()
+{  
+  bool test __attribute__((unused)) = true;
+  
+  std::ratio_subtract<one_over_max, one_over_max>::type r1;
+
+  VERIFY( r1.num == 0);
+  VERIFY( r1.den == 1);
+
+  std::ratio_subtract<
+    std::ratio<INTMAX_MAX / 2, INTMAX_MAX / 2>,
+    std::ratio<INTMAX_MAX / 2 , INTMAX_MAX / 2 + 1>>::type r2;
+  
+  VERIFY( r2.num == 1);
+  VERIFY( r2.den == (INTMAX_MAX / 2) + 1);
+}
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+
+int main()
+{
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+  test01();
+  test02();
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+  return 0;
+}

libstdc++-v3/testsuite/20_util/ratio/operations/ops3.cc

+// { dg-options "-std=gnu++0x" }
+
+// 2008-07-03 Chris Fairles <chris.fairles@gmail.com>
+
+// Copyright (C) 2008 Free Software Foundation
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+#include <ratio>
+#include <testsuite_hooks.h>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  std::ratio_multiply<
+    std::ratio<2, INTMAX_MAX>,
+    std::ratio<INTMAX_MAX, 2>>::type r1;
+
+  VERIFY( r1.num == 1);
+  VERIFY( r1.den == 1);
+
+  std::ratio_multiply<
+    std::ratio<INTMAX_MAX, 2>,
+    std::ratio<2 , INTMAX_MAX - 1>>::type r2;
+  
+  VERIFY( r2.num == INTMAX_MAX);
+  VERIFY( r2.den == INTMAX_MAX - 1);
+}
+
+void
+test02()
+{  
+  bool test __attribute__((unused)) = true;
+  
+  std::ratio_divide<
+    std::ratio<INTMAX_MAX, 2>,
+    std::ratio<INTMAX_MAX, 2>>::type r1;
+
+  VERIFY( r1.num == 1);
+  VERIFY( r1.den == 1);
+
+  std::ratio_divide<
+    std::ratio<INTMAX_MAX-1, 2>,
+    std::ratio<INTMAX_MAX, 2>>::type r2;
+  
+  VERIFY( r2.num == INTMAX_MAX - 1);
+  VERIFY( r2.den == INTMAX_MAX);
+}
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+
+int main()
+{
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+  test01();
+  test02();
+#endif //_GLIBCXX_USE_C99_STDINT_TR1
+  return 0;
+}

libstdc++-v3/testsuite/20_util/ratio/operations/ops_overflow.cc

+// { dg-options "-std=gnu++0x" }
+// { dg-do compile }
+
+// 2008-07-03 Chris Fairles <chris.fairles@gmail.com>
+
+// Copyright (C) 2008 Free Software Foundation
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this library; see the file COPYING.  If not, write to
+// the Free Software Foundation, 51 Franklin Street, Fifth Floor,
+// Boston, MA 02110-1301, USA.
+
+#include <ratio>
+
+#ifdef _GLIBCXX_USE_C99_STDINT_TR1
+
+void
+test01()
+{
+  std::ratio_add<std::ratio<INTMAX_MAX, 1>, std::ratio<1>>::type r1;
+}
+
+void
+test02()
+{  
+  std::ratio_multiply<std::ratio<-INTMAX_MAX, 2>, std::ratio<3, 2>>::type r1;
+  std::ratio_multiply<std::ratio<INTMAX_MAX>, std::ratio<INTMAX_MAX>>::type r2;
+}
+
+// { dg-error "instantiated from here" "" { target *-*-* } 31 }
+// { dg-error "instantiated from here" "" { target *-*-* } 37 }
+// { dg-error "instantiated from here" "" { target *-*-* } 38 }
+// { dg-error "overflow in addition" "" { target *-*-* } 127 }
+// { dg-error "overflow in multiplication" "" { target *-*-* } 95 }
+// { dg-error "overflow in multiplication" "" { target *-*-* } 97 }
+// { dg-error "overflow in multiplication" "" { target *-*-* } 99 }
+// { dg-excess-errors "In instantiation of" }
+// { dg-excess-errors "out of range" }
+
+#endif //_GLIBCXX_USE_C99_STDINT_TR1