[ceph.git] / ceph / src / boost / libs / multiprecision / test / test_rat_float_interconv.cpp

// Copyright John Maddock 2013.

// 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
#define _SCL_SECURE_NO_WARNINGS
#endif

#if defined(TEST1) || defined(TEST2) || defined(TEST3) || defined(TEST4)
#include <boost/multiprecision/cpp_bin_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
#else
#include <boost/multiprecision/mpfr.hpp>
#endif
#include <boost/math/special_functions/next.hpp>

#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_int.hpp>
#include <boost/chrono.hpp>
#include "test.hpp"
#include <boost/array.hpp>
#include <iostream>
#include <iomanip>

#ifdef BOOST_MSVC
#pragma warning(disable : 4127)
#endif

template <class Clock>
struct stopwatch
{
   typedef typename Clock::duration duration;
   stopwatch()
   {
      m_start = Clock::now();
   }
   duration elapsed()
   {
      return Clock::now() - m_start;
   }
   void reset()
   {
      m_start = Clock::now();
   }

 private:
   typename Clock::time_point m_start;
};

template <class T>
struct exponent_type
{
   typedef int type;
};
template <class T, boost::multiprecision::expression_template_option ET>
struct exponent_type<boost::multiprecision::number<T, ET> >
{
   typedef typename T::exponent_type type;
};

template <class T>
T generate_random_float()
{
   BOOST_MATH_STD_USING
   typedef typename exponent_type<T>::type e_type;
   static boost::random::mt19937           gen;
   T                                       val      = gen();
   T                                       prev_val = -1;
   while (val != prev_val)
   {
      val *= (gen.max)();
      prev_val = val;
      val += gen();
   }
   e_type e;
   val = frexp(val, &e);

   static const int                                       max_exponent_value = (std::min)(static_cast<int>(std::numeric_limits<T>::max_exponent - std::numeric_limits<T>::digits - 20), 2000);
   static boost::random::uniform_int_distribution<e_type> ui(0, max_exponent_value);
   return ldexp(val, ui(gen));
}

template <class Float, class Rat>
void do_round_trip(const Float& val)
{
   BOOST_MATH_STD_USING
   Rat   rat(val);
   Float new_f(rat);
   BOOST_CHECK_EQUAL(val, new_f);
   //
   // Try adding or subtracting an insignificant amount
   // (0.25ulp) from rat and check that it rounds to the same value:
   //
   typename exponent_type<Float>::type e;
   Float                               t = frexp(val, &e);
   (void)t; // warning suppression
   e -= std::numeric_limits<Float>::digits + 2;
   BOOST_MP_ASSERT(val == (val + ldexp(Float(1), e)));
   Rat                                                               delta, rounded;
   typedef typename boost::multiprecision::component_type<Rat>::type i_type;
   i_type                                                            i(1);
   i <<= (e < 0 ? -e : e);
   if (e > 0)
      delta.assign(i);
   else
      delta = Rat(i_type(1), i);
   rounded = rat + delta;
   new_f   = static_cast<Float>(rounded);
   BOOST_CHECK_EQUAL(val, new_f);
   rounded = rat - delta;
   new_f   = static_cast<Float>(rounded);
   BOOST_CHECK_EQUAL(val, new_f);

   delta /= 2;
   rounded = rat + delta;
   new_f   = static_cast<Float>(rounded);
   BOOST_CHECK_EQUAL(val, new_f);
   rounded = rat - delta;
   new_f   = static_cast<Float>(rounded);
   BOOST_CHECK_EQUAL(val, new_f);

   delta /= 2;
   rounded = rat + delta;
   new_f   = static_cast<Float>(rounded);
   BOOST_CHECK_EQUAL(val, new_f);
   rounded = rat - delta;
   new_f   = static_cast<Float>(rounded);
   BOOST_CHECK_EQUAL(val, new_f);
}

template <class Float, class Rat>
void test_round_trip()
{
   std::cout << "Testing types " << typeid(Float).name() << " <<==>> " << typeid(Rat).name() << std::endl;
   std::cout << "digits = " << std::numeric_limits<Float>::digits << std::endl;
   std::cout << "digits10 = " << std::numeric_limits<Float>::digits10 << std::endl;
   std::cout << "max_digits10 = " << std::numeric_limits<Float>::max_digits10 << std::endl;

   stopwatch<boost::chrono::high_resolution_clock> w;

   int count = 0;

#ifndef CI_SUPPRESS_KNOWN_ISSUES
   while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 200)
#else
   while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 50)
#endif
   {
      Float val = generate_random_float<Float>();
      do_round_trip<Float, Rat>(val);
      do_round_trip<Float, Rat>(Float(-val));
      do_round_trip<Float, Rat>(Float(1 / val));
      do_round_trip<Float, Rat>(Float(-1 / val));
      count += 4;
      if (boost::detail::test_errors() > 100)
         break;
   }

   std::cout << "Execution time = " << boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() << "s" << std::endl;
   std::cout << "Total values tested: " << count << std::endl;
}

template <class Int>
Int generate_random_int()
{
   static boost::random::mt19937                                                       gen;
   static boost::random::uniform_int_distribution<boost::random::mt19937::result_type> d(1, 20);

   int lim;
   Int cppi(0);

   lim = d(gen);

   for (int i = 0; i < lim; ++i)
   {
      cppi *= (gen.max)();
      cppi += gen();
   }
   return cppi;
}

template <class Float, class Rat>
void test_random_rationals()
{
   std::cout << "Testing types " << typeid(Float).name() << " <<==>> " << typeid(Rat).name() << std::endl;
   std::cout << "digits = " << std::numeric_limits<Float>::digits << std::endl;
   std::cout << "digits10 = " << std::numeric_limits<Float>::digits10 << std::endl;
   std::cout << "max_digits10 = " << std::numeric_limits<Float>::max_digits10 << std::endl;

   typedef typename boost::multiprecision::component_type<Rat>::type i_type;
   stopwatch<boost::chrono::high_resolution_clock>                   w;

   int count = 0;

#ifndef CI_SUPPRESS_KNOWN_ISSUES
   while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 200)
#else
   while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 50)
#endif
   {
      Rat   rat(generate_random_int<i_type>(), generate_random_int<i_type>());
      Float f(rat);
      Rat   new_rat(f); // rounded value
      int   c = new_rat.compare(rat);
      if (c < 0)
      {
         // If f was rounded down, next float up must be above the original value:
         f = boost::math::float_next(f);
         new_rat.assign(f);
         BOOST_CHECK(new_rat >= rat);
      }
      else if (c > 0)
      {
         // If f was rounded up, next float down must be below the original value:
         f = boost::math::float_prior(f);
         new_rat.assign(f);
         BOOST_CHECK(new_rat <= rat);
      }
      else
      {
         // Values were equal... nothing to test.
      }
      if (boost::detail::test_errors() > 100)
         break;
   }

   std::cout << "Execution time = " << boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() << "s" << std::endl;
   std::cout << "Total values tested: " << count << std::endl;
}

#if defined(TEST2)

void double_spot_tests()
{
   boost::multiprecision::cpp_rational rat = 1;
   boost::multiprecision::cpp_rational twiddle(boost::multiprecision::cpp_int(1), boost::multiprecision::cpp_int(boost::multiprecision::cpp_int(1) << 54));
   rat += boost::multiprecision::cpp_rational(boost::multiprecision::cpp_int(1), boost::multiprecision::cpp_int(boost::multiprecision::cpp_int(1) << 50));

   double d = rat.convert_to<double>();

   rat += twiddle;
   BOOST_CHECK_EQUAL(d, rat.convert_to<double>());
   rat += twiddle;
   // tie: round to even rounds down
   BOOST_CHECK_EQUAL(d, rat.convert_to<double>());
   rat += twiddle;
   BOOST_CHECK_NE(d, rat.convert_to<double>());
   rat -= twiddle;
   BOOST_CHECK_EQUAL(d, rat.convert_to<double>());
   rat += boost::multiprecision::cpp_rational(boost::multiprecision::cpp_int(1), boost::multiprecision::cpp_int(boost::multiprecision::cpp_int(1) << 52));
   // tie, but last bit is now a 1 so we round up:
   BOOST_CHECK_NE(d, rat.convert_to<double>());
}

#endif

int main()
{
   using namespace boost::multiprecision;
#if defined(TEST1) && !defined(BOOST_MSVC)
   test_round_trip<number<cpp_bin_float<113, digit_base_2, void, std::int16_t> >, cpp_rational>();
#elif defined(TEST2)
   double_spot_tests();
   test_round_trip<double, cpp_rational>();
#elif defined(TEST3) && !defined(BOOST_MSVC)
   test_random_rationals<number<cpp_bin_float<113, digit_base_2, void, std::int16_t> >, cpp_rational>();
#elif defined(TEST4)
   test_random_rationals<double, cpp_rational>();
#elif defined(TEST5)
   // This does not work: gmp does not correctly round integer to float or
   // rational to float conversions:
   test_round_trip<double, mpq_rational>();
#elif defined(TEST6)
   test_round_trip<mpfr_float_100, mpq_rational>();
#elif defined(TEST7)
   test_random_rationals<mpfr_float_100, mpq_rational>();
#elif defined(TEST8)
   test_random_rationals<double, mpq_rational>();
#endif
   return boost::report_errors();
}
Commit	Line	Data
7c673cae FG	1	// Copyright John Maddock 2013.
	2
	3	// Use, modification and distribution are subject to the
	4	// Boost Software License, Version 1.0.
	5	// (See accompanying file LICENSE_1_0.txt
	6	// or copy at http://www.boost.org/LICENSE_1_0.txt)
	7
	8	#ifdef _MSC_VER
92f5a8d4	9	#define _SCL_SECURE_NO_WARNINGS
7c673cae FG	10	#endif
	11
	12	#if defined(TEST1) \|\| defined(TEST2) \|\| defined(TEST3) \|\| defined(TEST4)
	13	#include <boost/multiprecision/cpp_bin_float.hpp>
	14	#include <boost/multiprecision/cpp_int.hpp>
	15	#else
	16	#include <boost/multiprecision/mpfr.hpp>
	17	#endif
	18	#include <boost/math/special_functions/next.hpp>
	19
	20	#include <boost/random/mersenne_twister.hpp>
	21	#include <boost/random/uniform_int.hpp>
	22	#include <boost/chrono.hpp>
	23	#include "test.hpp"
	24	#include <boost/array.hpp>
	25	#include <iostream>
	26	#include <iomanip>
	27
	28	#ifdef BOOST_MSVC
92f5a8d4	29	#pragma warning(disable : 4127)
7c673cae FG	30	#endif
	31
	32	template <class Clock>
	33	struct stopwatch
	34	{
	35	typedef typename Clock::duration duration;
	36	stopwatch()
	37	{
	38	m_start = Clock::now();
	39	}
	40	duration elapsed()
	41	{
	42	return Clock::now() - m_start;
	43	}
	44	void reset()
	45	{
	46	m_start = Clock::now();
	47	}
	48
92f5a8d4	49	private:
7c673cae FG	50	typename Clock::time_point m_start;
	51	};
	52
	53	template <class T>
92f5a8d4	54	struct exponent_type
7c673cae FG	55	{
	56	typedef int type;
	57	};
	58	template <class T, boost::multiprecision::expression_template_option ET>
	59	struct exponent_type<boost::multiprecision::number<T, ET> >
	60	{
	61	typedef typename T::exponent_type type;
	62	};
	63
	64	template <class T>
	65	T generate_random_float()
	66	{
	67	BOOST_MATH_STD_USING
	68	typedef typename exponent_type<T>::type e_type;
92f5a8d4 TL	69	static boost::random::mt19937 gen;
	70	T val = gen();
	71	T prev_val = -1;
	72	while (val != prev_val)
7c673cae FG	73	{
	74	val *= (gen.max)();
	75	prev_val = val;
	76	val += gen();
	77	}
	78	e_type e;
	79	val = frexp(val, &e);
	80
92f5a8d4	81	static const int max_exponent_value = (std::min)(static_cast<int>(std::numeric_limits<T>::max_exponent - std::numeric_limits<T>::digits - 20), 2000);
7c673cae FG	82	static boost::random::uniform_int_distribution<e_type> ui(0, max_exponent_value);
	83	return ldexp(val, ui(gen));
	84	}
	85
	86	template <class Float, class Rat>
	87	void do_round_trip(const Float& val)
	88	{
7c673cae	89	BOOST_MATH_STD_USING
92f5a8d4	90	Rat rat(val);
7c673cae FG	91	Float new_f(rat);
	92	BOOST_CHECK_EQUAL(val, new_f);
	93	//
	94	// Try adding or subtracting an insignificant amount
	95	// (0.25ulp) from rat and check that it rounds to the same value:
	96	//
	97	typename exponent_type<Float>::type e;
92f5a8d4	98	Float t = frexp(val, &e);
7c673cae FG	99	(void)t; // warning suppression
7c673cae FG	100	e -= std::numeric_limits<Float>::digits + 2;
1e59de90	101	BOOST_MP_ASSERT(val == (val + ldexp(Float(1), e)));
92f5a8d4	102	Rat delta, rounded;
7c673cae	103	typedef typename boost::multiprecision::component_type<Rat>::type i_type;
92f5a8d4	104	i_type i(1);
7c673cae	105	i <<= (e < 0 ? -e : e);
92f5a8d4	106	if (e > 0)
7c673cae FG	107	delta.assign(i);
	108	else
	109	delta = Rat(i_type(1), i);
	110	rounded = rat + delta;
92f5a8d4	111	new_f = static_cast<Float>(rounded);
7c673cae FG	112	BOOST_CHECK_EQUAL(val, new_f);
7c673cae FG	113	rounded = rat - delta;
92f5a8d4	114	new_f = static_cast<Float>(rounded);
7c673cae FG	115	BOOST_CHECK_EQUAL(val, new_f);
	116
	117	delta /= 2;
	118	rounded = rat + delta;
92f5a8d4	119	new_f = static_cast<Float>(rounded);
7c673cae FG	120	BOOST_CHECK_EQUAL(val, new_f);
7c673cae FG	121	rounded = rat - delta;
92f5a8d4	122	new_f = static_cast<Float>(rounded);
7c673cae FG	123	BOOST_CHECK_EQUAL(val, new_f);
	124
	125	delta /= 2;
	126	rounded = rat + delta;
92f5a8d4	127	new_f = static_cast<Float>(rounded);
7c673cae FG	128	BOOST_CHECK_EQUAL(val, new_f);
7c673cae FG	129	rounded = rat - delta;
92f5a8d4	130	new_f = static_cast<Float>(rounded);
7c673cae	131	BOOST_CHECK_EQUAL(val, new_f);
7c673cae FG	132	}
	133
	134	template <class Float, class Rat>
	135	void test_round_trip()
	136	{
7c673cae FG	137	std::cout << "Testing types " << typeid(Float).name() << " <<==>> " << typeid(Rat).name() << std::endl;
	138	std::cout << "digits = " << std::numeric_limits<Float>::digits << std::endl;
	139	std::cout << "digits10 = " << std::numeric_limits<Float>::digits10 << std::endl;
7c673cae	140	std::cout << "max_digits10 = " << std::numeric_limits<Float>::max_digits10 << std::endl;
7c673cae FG	141
	142	stopwatch<boost::chrono::high_resolution_clock> w;
	143
	144	int count = 0;
	145
b32b8144 FG	146	#ifndef CI_SUPPRESS_KNOWN_ISSUES
	147	while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 200)
	148	#else
	149	while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 50)
	150	#endif
7c673cae FG	151	{
	152	Float val = generate_random_float<Float>();
	153	do_round_trip<Float, Rat>(val);
	154	do_round_trip<Float, Rat>(Float(-val));
92f5a8d4 TL	155	do_round_trip<Float, Rat>(Float(1 / val));
92f5a8d4 TL	156	do_round_trip<Float, Rat>(Float(-1 / val));
7c673cae	157	count += 4;
92f5a8d4	158	if (boost::detail::test_errors() > 100)
7c673cae FG	159	break;
	160	}
	161
	162	std::cout << "Execution time = " << boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() << "s" << std::endl;
	163	std::cout << "Total values tested: " << count << std::endl;
7c673cae FG	164	}
	165
	166	template <class Int>
	167	Int generate_random_int()
	168	{
92f5a8d4	169	static boost::random::mt19937 gen;
7c673cae FG	170	static boost::random::uniform_int_distribution<boost::random::mt19937::result_type> d(1, 20);
	171
	172	int lim;
	173	Int cppi(0);
	174
	175	lim = d(gen);
	176
92f5a8d4	177	for (int i = 0; i < lim; ++i)
7c673cae FG	178	{
	179	cppi *= (gen.max)();
	180	cppi += gen();
	181	}
	182	return cppi;
	183	}
	184
	185	template <class Float, class Rat>
	186	void test_random_rationals()
	187	{
7c673cae FG	188	std::cout << "Testing types " << typeid(Float).name() << " <<==>> " << typeid(Rat).name() << std::endl;
	189	std::cout << "digits = " << std::numeric_limits<Float>::digits << std::endl;
	190	std::cout << "digits10 = " << std::numeric_limits<Float>::digits10 << std::endl;
7c673cae	191	std::cout << "max_digits10 = " << std::numeric_limits<Float>::max_digits10 << std::endl;
7c673cae FG	192
7c673cae FG	193	typedef typename boost::multiprecision::component_type<Rat>::type i_type;
92f5a8d4	194	stopwatch<boost::chrono::high_resolution_clock> w;
7c673cae FG	195
	196	int count = 0;
	197
b32b8144 FG	198	#ifndef CI_SUPPRESS_KNOWN_ISSUES
	199	while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 200)
	200	#else
	201	while (boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() < 50)
	202	#endif
7c673cae	203	{
92f5a8d4	204	Rat rat(generate_random_int<i_type>(), generate_random_int<i_type>());
7c673cae	205	Float f(rat);
92f5a8d4 TL	206	Rat new_rat(f); // rounded value
	207	int c = new_rat.compare(rat);
	208	if (c < 0)
7c673cae FG	209	{
	210	// If f was rounded down, next float up must be above the original value:
	211	f = boost::math::float_next(f);
	212	new_rat.assign(f);
	213	BOOST_CHECK(new_rat >= rat);
	214	}
92f5a8d4	215	else if (c > 0)
7c673cae FG	216	{
	217	// If f was rounded up, next float down must be below the original value:
	218	f = boost::math::float_prior(f);
	219	new_rat.assign(f);
	220	BOOST_CHECK(new_rat <= rat);
	221	}
	222	else
	223	{
	224	// Values were equal... nothing to test.
	225	}
92f5a8d4	226	if (boost::detail::test_errors() > 100)
7c673cae FG	227	break;
	228	}
	229
	230	std::cout << "Execution time = " << boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count() << "s" << std::endl;
	231	std::cout << "Total values tested: " << count << std::endl;
7c673cae FG	232	}
	233
	234	#if defined(TEST2)
	235
	236	void double_spot_tests()
	237	{
	238	boost::multiprecision::cpp_rational rat = 1;
	239	boost::multiprecision::cpp_rational twiddle(boost::multiprecision::cpp_int(1), boost::multiprecision::cpp_int(boost::multiprecision::cpp_int(1) << 54));
	240	rat += boost::multiprecision::cpp_rational(boost::multiprecision::cpp_int(1), boost::multiprecision::cpp_int(boost::multiprecision::cpp_int(1) << 50));
	241
	242	double d = rat.convert_to<double>();
	243
	244	rat += twiddle;
	245	BOOST_CHECK_EQUAL(d, rat.convert_to<double>());
	246	rat += twiddle;
	247	// tie: round to even rounds down
	248	BOOST_CHECK_EQUAL(d, rat.convert_to<double>());
	249	rat += twiddle;
	250	BOOST_CHECK_NE(d, rat.convert_to<double>());
	251	rat -= twiddle;
	252	BOOST_CHECK_EQUAL(d, rat.convert_to<double>());
	253	rat += boost::multiprecision::cpp_rational(boost::multiprecision::cpp_int(1), boost::multiprecision::cpp_int(boost::multiprecision::cpp_int(1) << 52));
	254	// tie, but last bit is now a 1 so we round up:
	255	BOOST_CHECK_NE(d, rat.convert_to<double>());
7c673cae FG	256	}
	257
	258	#endif
	259
	260	int main()
	261	{
	262	using namespace boost::multiprecision;
	263	#if defined(TEST1) && !defined(BOOST_MSVC)
1e59de90	264	test_round_trip<number<cpp_bin_float<113, digit_base_2, void, std::int16_t> >, cpp_rational>();
7c673cae FG	265	#elif defined(TEST2)
	266	double_spot_tests();
	267	test_round_trip<double, cpp_rational>();
	268	#elif defined(TEST3) && !defined(BOOST_MSVC)
1e59de90	269	test_random_rationals<number<cpp_bin_float<113, digit_base_2, void, std::int16_t> >, cpp_rational>();
7c673cae FG	270	#elif defined(TEST4)
	271	test_random_rationals<double, cpp_rational>();
	272	#elif defined(TEST5)
	273	// This does not work: gmp does not correctly round integer to float or
	274	// rational to float conversions:
	275	test_round_trip<double, mpq_rational>();
	276	#elif defined(TEST6)
	277	test_round_trip<mpfr_float_100, mpq_rational>();
	278	#elif defined(TEST7)
	279	test_random_rationals<mpfr_float_100, mpq_rational>();
	280	#elif defined(TEST8)
	281	test_random_rationals<double, mpq_rational>();
	282	#endif
	283	return boost::report_errors();
	284	}