1 // Boost GCD & LCM common_factor.hpp test program --------------------------//
3 // (C) Copyright Daryle Walker 2001, 2006.
4 // Distributed under the Boost Software License, Version 1.0. (See
5 // accompanying file LICENSE_1_0.txt or copy at
6 // http://www.boost.org/LICENSE_1_0.txt)
8 // See http://www.boost.org for most recent version including documentation.
11 // 01 Dec 2006 Various fixes for old compilers (Joaquin M Lopez Munoz)
12 // 10 Nov 2006 Make long long and __int64 mutually exclusive (Daryle Walker)
13 // 04 Nov 2006 Use more built-in numeric types, binary-GCD (Daryle Walker)
14 // 03 Nov 2006 Use custom numeric types (Daryle Walker)
15 // 02 Nov 2006 Change to Boost.Test's unit test system (Daryle Walker)
16 // 07 Nov 2001 Initial version (Daryle Walker)
18 #define BOOST_TEST_MAIN "Boost.integer GCD & LCM unit tests"
20 #include <boost/config.hpp> // for BOOST_MSVC, etc.
21 #include <boost/detail/workaround.hpp>
22 #include <boost/integer/common_factor.hpp> // for boost::integer::gcd, etc.
23 #include <boost/mpl/list.hpp> // for boost::mpl::list
24 #include <boost/operators.hpp>
25 #include <boost/core/lightweight_test.hpp>
26 #include <boost/random.hpp>
27 #include <boost/rational.hpp>
29 #include <istream> // for std::basic_istream
30 #include <limits> // for std::numeric_limits
31 #include <ostream> // for std::basic_ostream
33 #ifdef BOOST_INTEGER_HAS_GMPXX_H
37 #include "multiprecision_config.hpp"
39 #ifndef DISABLE_MP_TESTS
40 #include <boost/multiprecision/cpp_int.hpp>
45 // TODO: add polynominal/non-real type; especially after any switch to the
46 // binary-GCD algorithm for built-in types
48 // Custom integer class (template)
49 template < typename IntType, int ID = 0 >
50 class my_wrapped_integer
51 : private ::boost::shiftable1<my_wrapped_integer<IntType, ID>,
52 ::boost::operators<my_wrapped_integer<IntType, ID> > >
54 // Helper type-aliases
55 typedef my_wrapped_integer self_type;
56 typedef IntType self_type::* bool_type;
62 // Template parameters
63 typedef IntType int_type;
65 BOOST_STATIC_CONSTANT(int,id = ID);
67 // Lifetime management (use automatic destructor and copy constructor)
68 my_wrapped_integer( int_type const &v = int_type() ) : v_( v ) {}
71 int_type value() const { return this->v_; }
73 // Operators (use automatic copy assignment)
74 operator bool_type() const { return this->v_ ? &self_type::v_ : 0; }
76 self_type & operator ++() { ++this->v_; return *this; }
77 self_type & operator --() { --this->v_; return *this; }
79 self_type operator ~() const { return self_type( ~this->v_ ); }
80 self_type operator !() const { return self_type( !this->v_ ); }
81 self_type operator +() const { return self_type( +this->v_ ); }
82 self_type operator -() const { return self_type( -this->v_ ); }
84 bool operator <( self_type const &r ) const { return this->v_ < r.v_; }
85 bool operator ==( self_type const &r ) const { return this->v_ == r.v_; }
87 self_type &operator *=(self_type const &r) {this->v_ *= r.v_; return *this;}
88 self_type &operator /=(self_type const &r) {this->v_ /= r.v_; return *this;}
89 self_type &operator %=(self_type const &r) {this->v_ %= r.v_; return *this;}
90 self_type &operator +=(self_type const &r) {this->v_ += r.v_; return *this;}
91 self_type &operator -=(self_type const &r) {this->v_ -= r.v_; return *this;}
92 self_type &operator<<=(self_type const &r){this->v_ <<= r.v_; return *this;}
93 self_type &operator>>=(self_type const &r){this->v_ >>= r.v_; return *this;}
94 self_type &operator &=(self_type const &r) {this->v_ &= r.v_; return *this;}
95 self_type &operator |=(self_type const &r) {this->v_ |= r.v_; return *this;}
96 self_type &operator ^=(self_type const &r) {this->v_ ^= r.v_; return *this;}
99 friend std::istream & operator >>( std::istream &i, self_type &x )
100 { return i >> x.v_; }
102 friend std::ostream & operator <<( std::ostream &o, self_type const &x )
103 { return o << x.v_; }
105 }; // my_wrapped_integer
107 template < typename IntType, int ID >
108 my_wrapped_integer<IntType, ID> abs( my_wrapped_integer<IntType, ID> const &x )
109 { return ( x < my_wrapped_integer<IntType, ID>(0) ) ? -x : +x; }
111 typedef my_wrapped_integer<int> MyInt1;
112 typedef my_wrapped_integer<unsigned> MyUnsigned1;
113 typedef my_wrapped_integer<int, 1> MyInt2;
114 typedef my_wrapped_integer<unsigned, 1> MyUnsigned2;
116 // Without these explicit instantiations, MSVC++ 6.5/7.0 does not find
117 // some friend operators in certain contexts.
123 // Various types to test with each GCD/LCM
124 typedef ::boost::mpl::list<signed char, short, int, long,
125 #if BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
126 #elif defined(BOOST_HAS_LONG_LONG)
127 boost::long_long_type,
128 #elif defined(BOOST_HAS_MS_INT64)
132 #ifndef DISABLE_MP_TESTS
133 , boost::multiprecision::cpp_int
136 typedef ::boost::mpl::list<unsigned char, unsigned short, unsigned,
138 #if BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
139 #elif defined(BOOST_HAS_LONG_LONG)
140 boost::ulong_long_type,
141 #elif defined(BOOST_HAS_MS_INT64)
144 MyUnsigned1, MyUnsigned2 /*, boost::multiprecision::uint256_t*/> unsigned_test_types;
148 #define BOOST_NO_MACRO_EXPAND /**/
150 // Specialize numeric_limits for _some_ of our types
155 class numeric_limits< MyInt1 >
157 typedef MyInt1::int_type int_type;
158 typedef numeric_limits<int_type> limits_type;
161 BOOST_STATIC_CONSTANT(bool, is_specialized = limits_type::is_specialized);
163 static MyInt1 min BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::min)(); }
164 static MyInt1 max BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::max)(); }
166 BOOST_STATIC_CONSTANT(int, digits = limits_type::digits);
167 BOOST_STATIC_CONSTANT(int, digits10 = limits_type::digits10);
168 #ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
169 BOOST_STATIC_CONSTANT(int, max_digits10 = limits_type::max_digits10);
171 BOOST_STATIC_CONSTANT(bool, is_signed = limits_type::is_signed);
172 BOOST_STATIC_CONSTANT(bool, is_integer = limits_type::is_integer);
173 BOOST_STATIC_CONSTANT(bool, is_exact = limits_type::is_exact);
174 BOOST_STATIC_CONSTANT(int, radix = limits_type::radix);
175 static MyInt1 epsilon() throw() { return limits_type::epsilon(); }
176 static MyInt1 round_error() throw() { return limits_type::round_error(); }
178 BOOST_STATIC_CONSTANT(int, min_exponent = limits_type::min_exponent);
179 BOOST_STATIC_CONSTANT(int, min_exponent10 = limits_type::min_exponent10);
180 BOOST_STATIC_CONSTANT(int, max_exponent = limits_type::max_exponent);
181 BOOST_STATIC_CONSTANT(int, max_exponent10 = limits_type::max_exponent10);
183 BOOST_STATIC_CONSTANT(bool, has_infinity = limits_type::has_infinity);
184 BOOST_STATIC_CONSTANT(bool, has_quiet_NaN = limits_type::has_quiet_NaN);
185 BOOST_STATIC_CONSTANT(bool, has_signaling_NaN = limits_type::has_signaling_NaN);
186 BOOST_STATIC_CONSTANT(float_denorm_style, has_denorm = limits_type::has_denorm);
187 BOOST_STATIC_CONSTANT(bool, has_denorm_loss = limits_type::has_denorm_loss);
189 static MyInt1 infinity() throw() { return limits_type::infinity(); }
190 static MyInt1 quiet_NaN() throw() { return limits_type::quiet_NaN(); }
191 static MyInt1 signaling_NaN() throw() {return limits_type::signaling_NaN();}
192 static MyInt1 denorm_min() throw() { return limits_type::denorm_min(); }
194 BOOST_STATIC_CONSTANT(bool, is_iec559 = limits_type::is_iec559);
195 BOOST_STATIC_CONSTANT(bool, is_bounded = limits_type::is_bounded);
196 BOOST_STATIC_CONSTANT(bool, is_modulo = limits_type::is_modulo);
198 BOOST_STATIC_CONSTANT(bool, traps = limits_type::traps);
199 BOOST_STATIC_CONSTANT(bool, tinyness_before = limits_type::tinyness_before);
200 BOOST_STATIC_CONSTANT(float_round_style, round_style = limits_type::round_style);
202 }; // std::numeric_limits<MyInt1>
205 class numeric_limits< MyUnsigned1 >
207 typedef MyUnsigned1::int_type int_type;
208 typedef numeric_limits<int_type> limits_type;
211 BOOST_STATIC_CONSTANT(bool, is_specialized = limits_type::is_specialized);
213 static MyUnsigned1 min BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::min)(); }
214 static MyUnsigned1 max BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::max)(); }
216 BOOST_STATIC_CONSTANT(int, digits = limits_type::digits);
217 BOOST_STATIC_CONSTANT(int, digits10 = limits_type::digits10);
218 #ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
219 BOOST_STATIC_CONSTANT(int, max_digits10 = limits_type::max_digits10);
221 BOOST_STATIC_CONSTANT(bool, is_signed = limits_type::is_signed);
222 BOOST_STATIC_CONSTANT(bool, is_integer = limits_type::is_integer);
223 BOOST_STATIC_CONSTANT(bool, is_exact = limits_type::is_exact);
224 BOOST_STATIC_CONSTANT(int, radix = limits_type::radix);
225 static MyUnsigned1 epsilon() throw() { return limits_type::epsilon(); }
226 static MyUnsigned1 round_error() throw(){return limits_type::round_error();}
228 BOOST_STATIC_CONSTANT(int, min_exponent = limits_type::min_exponent);
229 BOOST_STATIC_CONSTANT(int, min_exponent10 = limits_type::min_exponent10);
230 BOOST_STATIC_CONSTANT(int, max_exponent = limits_type::max_exponent);
231 BOOST_STATIC_CONSTANT(int, max_exponent10 = limits_type::max_exponent10);
233 BOOST_STATIC_CONSTANT(bool, has_infinity = limits_type::has_infinity);
234 BOOST_STATIC_CONSTANT(bool, has_quiet_NaN = limits_type::has_quiet_NaN);
235 BOOST_STATIC_CONSTANT(bool, has_signaling_NaN = limits_type::has_signaling_NaN);
236 BOOST_STATIC_CONSTANT(float_denorm_style, has_denorm = limits_type::has_denorm);
237 BOOST_STATIC_CONSTANT(bool, has_denorm_loss = limits_type::has_denorm_loss);
239 static MyUnsigned1 infinity() throw() { return limits_type::infinity(); }
240 static MyUnsigned1 quiet_NaN() throw() { return limits_type::quiet_NaN(); }
241 static MyUnsigned1 signaling_NaN() throw()
242 { return limits_type::signaling_NaN(); }
243 static MyUnsigned1 denorm_min() throw(){ return limits_type::denorm_min(); }
245 BOOST_STATIC_CONSTANT(bool, is_iec559 = limits_type::is_iec559);
246 BOOST_STATIC_CONSTANT(bool, is_bounded = limits_type::is_bounded);
247 BOOST_STATIC_CONSTANT(bool, is_modulo = limits_type::is_modulo);
249 BOOST_STATIC_CONSTANT(bool, traps = limits_type::traps);
250 BOOST_STATIC_CONSTANT(bool, tinyness_before = limits_type::tinyness_before);
251 BOOST_STATIC_CONSTANT(float_round_style, round_style = limits_type::round_style);
253 }; // std::numeric_limits<MyUnsigned1>
255 #if BOOST_WORKAROUND(BOOST_MSVC,<1300)
256 // MSVC 6.0 lacks operator<< for __int64, see
257 // https://support.microsoft.com/kb/168440/
259 inline ostream& operator<<(ostream& os, __int64 i)
262 sprintf(buf,"%I64d", i);
267 inline ostream& operator<<(ostream& os, unsigned __int64 i)
270 sprintf(buf,"%I64u", i);
280 // GCD on signed integer types
281 template< class T > void gcd_int_test() // signed_test_types
284 using boost::integer::gcd;
285 using boost::integer::gcd_evaluator;
287 using namespace boost::integer;
290 // Originally from Boost.Rational tests
291 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(1), static_cast<T>(-1)), static_cast<T>( 1) );
292 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-1), static_cast<T>(1)), static_cast<T>( 1) );
293 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(1), static_cast<T>(1)), static_cast<T>( 1) );
294 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-1), static_cast<T>(-1)), static_cast<T>( 1) );
295 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0), static_cast<T>(0)), static_cast<T>( 0) );
296 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7), static_cast<T>(0)), static_cast<T>( 7) );
297 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0), static_cast<T>(9)), static_cast<T>( 9) );
298 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-7), static_cast<T>(0)), static_cast<T>( 7) );
299 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0), static_cast<T>(-9)), static_cast<T>( 9) );
300 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(42), static_cast<T>(30)), static_cast<T>( 6) );
301 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(6), static_cast<T>(-9)), static_cast<T>( 3) );
302 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-10), static_cast<T>(-10)), static_cast<T>(10) );
303 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-25), static_cast<T>(-10)), static_cast<T>( 5) );
304 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(3), static_cast<T>(7)), static_cast<T>( 1) );
305 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(8), static_cast<T>(9)), static_cast<T>( 1) );
306 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7), static_cast<T>(49)), static_cast<T>( 7) );
307 // Again with function object:
308 BOOST_TEST_EQ(gcd_evaluator<T>()(1, -1), static_cast<T>(1));
309 BOOST_TEST_EQ(gcd_evaluator<T>()(-1, 1), static_cast<T>(1));
310 BOOST_TEST_EQ(gcd_evaluator<T>()(1, 1), static_cast<T>(1));
311 BOOST_TEST_EQ(gcd_evaluator<T>()(-1, -1), static_cast<T>(1));
312 BOOST_TEST_EQ(gcd_evaluator<T>()(0, 0), static_cast<T>(0));
313 BOOST_TEST_EQ(gcd_evaluator<T>()(7, 0), static_cast<T>(7));
314 BOOST_TEST_EQ(gcd_evaluator<T>()(0, 9), static_cast<T>(9));
315 BOOST_TEST_EQ(gcd_evaluator<T>()(-7, 0), static_cast<T>(7));
316 BOOST_TEST_EQ(gcd_evaluator<T>()(0, -9), static_cast<T>(9));
317 BOOST_TEST_EQ(gcd_evaluator<T>()(42, 30), static_cast<T>(6));
318 BOOST_TEST_EQ(gcd_evaluator<T>()(6, -9), static_cast<T>(3));
319 BOOST_TEST_EQ(gcd_evaluator<T>()(-10, -10), static_cast<T>(10));
320 BOOST_TEST_EQ(gcd_evaluator<T>()(-25, -10), static_cast<T>(5));
321 BOOST_TEST_EQ(gcd_evaluator<T>()(3, 7), static_cast<T>(1));
322 BOOST_TEST_EQ(gcd_evaluator<T>()(8, 9), static_cast<T>(1));
323 BOOST_TEST_EQ(gcd_evaluator<T>()(7, 49), static_cast<T>(7));
326 // GCD on unmarked signed integer type
327 void gcd_unmarked_int_test()
330 using boost::integer::gcd;
332 using namespace boost::integer;
335 // The regular signed-integer GCD function performs the unsigned version,
336 // then does an absolute-value on the result. Signed types that are not
337 // marked as such (due to no std::numeric_limits specialization) may be off
339 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
340 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-1), static_cast<MyInt2>(1) )), MyInt2( 1) );
341 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(1), static_cast<MyInt2>(1) )), MyInt2( 1) );
342 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
343 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(0), static_cast<MyInt2>(0) )), MyInt2( 0) );
344 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(7), static_cast<MyInt2>(0) )), MyInt2( 7) );
345 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(0), static_cast<MyInt2>(9) )), MyInt2( 9) );
346 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-7), static_cast<MyInt2>(0) )), MyInt2( 7) );
347 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(0), static_cast<MyInt2>(-9) )), MyInt2( 9) );
348 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(42), static_cast<MyInt2>(30))), MyInt2( 6) );
349 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(6), static_cast<MyInt2>(-9) )), MyInt2( 3) );
350 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-10), static_cast<MyInt2>(-10) )), MyInt2(10) );
351 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-25), static_cast<MyInt2>(-10) )), MyInt2( 5) );
352 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(3), static_cast<MyInt2>(7) )), MyInt2( 1) );
353 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(8), static_cast<MyInt2>(9) )), MyInt2( 1) );
354 BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(7), static_cast<MyInt2>(49) )), MyInt2( 7) );
357 // GCD on unsigned integer types
358 template< class T > void gcd_unsigned_test() // unsigned_test_types
361 using boost::integer::gcd;
363 using namespace boost::integer;
366 // Note that unmarked types (i.e. have no std::numeric_limits
367 // specialization) are treated like non/unsigned types
368 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(1u), static_cast<T>(1u)), static_cast<T>( 1u) );
369 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0u), static_cast<T>(0u)), static_cast<T>( 0u) );
370 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7u), static_cast<T>(0u)), static_cast<T>( 7u) );
371 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0u), static_cast<T>(9u)), static_cast<T>( 9u) );
372 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(42u), static_cast<T>(30u)), static_cast<T>( 6u) );
373 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(3u), static_cast<T>(7u)), static_cast<T>( 1u) );
374 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(8u), static_cast<T>(9u)), static_cast<T>( 1u) );
375 BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7u), static_cast<T>(49u)), static_cast<T>( 7u) );
378 // GCD at compile-time
379 void gcd_static_test()
382 using boost::integer::static_gcd;
384 using namespace boost::integer;
387 // Can't use "BOOST_TEST_EQ", otherwise the "value" member will be
388 // disqualified as compile-time-only constant, needing explicit definition
389 BOOST_TEST( (static_gcd< 1, 1>::value) == 1 );
390 BOOST_TEST( (static_gcd< 0, 0>::value) == 0 );
391 BOOST_TEST( (static_gcd< 7, 0>::value) == 7 );
392 BOOST_TEST( (static_gcd< 0, 9>::value) == 9 );
393 BOOST_TEST( (static_gcd<42, 30>::value) == 6 );
394 BOOST_TEST( (static_gcd< 3, 7>::value) == 1 );
395 BOOST_TEST( (static_gcd< 8, 9>::value) == 1 );
396 BOOST_TEST( (static_gcd< 7, 49>::value) == 7 );
399 void gcd_method_test()
401 // Verify that the 3 different methods all yield the same result:
402 boost::random::mt19937 gen;
403 boost::random::uniform_int_distribution<int> d(0, ((std::numeric_limits<int>::max)() / 2));
405 for (unsigned int i = 0; i < 10000; ++i)
409 int g = boost::integer::gcd_detail::Euclid_gcd(v1, v2);
410 BOOST_TEST(v1 % g == 0);
411 BOOST_TEST(v2 % g == 0);
412 BOOST_TEST_EQ(g, boost::integer::gcd_detail::mixed_binary_gcd(v1, v2));
413 BOOST_TEST_EQ(g, boost::integer::gcd_detail::Stein_gcd(v1, v2));
419 // LCM on signed integer types
420 template< class T > void lcm_int_test() // signed_test_types
423 using boost::integer::lcm;
424 using boost::integer::lcm_evaluator;
426 using namespace boost::integer;
429 // Originally from Boost.Rational tests
430 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(1), static_cast<T>(-1)), static_cast<T>( 1) );
431 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-1), static_cast<T>(1)), static_cast<T>( 1) );
432 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(1), static_cast<T>(1)), static_cast<T>( 1) );
433 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-1), static_cast<T>(-1)), static_cast<T>( 1) );
434 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0), static_cast<T>(0)), static_cast<T>( 0) );
435 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(6), static_cast<T>(0)), static_cast<T>( 0) );
436 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0), static_cast<T>(7)), static_cast<T>( 0) );
437 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-5), static_cast<T>(0)), static_cast<T>( 0) );
438 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0), static_cast<T>(-4)), static_cast<T>( 0) );
439 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(18), static_cast<T>(30)), static_cast<T>(90) );
440 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-6), static_cast<T>(9)), static_cast<T>(18) );
441 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-10), static_cast<T>(-10)), static_cast<T>(10) );
442 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(25), static_cast<T>(-10)), static_cast<T>(50) );
443 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(3), static_cast<T>(7)), static_cast<T>(21) );
444 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(8), static_cast<T>(9)), static_cast<T>(72) );
445 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(7), static_cast<T>(49)), static_cast<T>(49) );
446 // Again with function object:
447 BOOST_TEST_EQ(lcm_evaluator<T>()(1, -1), static_cast<T>(1));
448 BOOST_TEST_EQ(lcm_evaluator<T>()(-1, 1), static_cast<T>(1));
449 BOOST_TEST_EQ(lcm_evaluator<T>()(1, 1), static_cast<T>(1));
450 BOOST_TEST_EQ(lcm_evaluator<T>()(-1, -1), static_cast<T>(1));
451 BOOST_TEST_EQ(lcm_evaluator<T>()(0, 0), static_cast<T>(0));
452 BOOST_TEST_EQ(lcm_evaluator<T>()(6, 0), static_cast<T>(0));
453 BOOST_TEST_EQ(lcm_evaluator<T>()(0, 7), static_cast<T>(0));
454 BOOST_TEST_EQ(lcm_evaluator<T>()(-5, 0), static_cast<T>(0));
455 BOOST_TEST_EQ(lcm_evaluator<T>()(0, -4), static_cast<T>(0));
456 BOOST_TEST_EQ(lcm_evaluator<T>()(18, 30), static_cast<T>(90));
457 BOOST_TEST_EQ(lcm_evaluator<T>()(-6, 9), static_cast<T>(18));
458 BOOST_TEST_EQ(lcm_evaluator<T>()(-10, -10), static_cast<T>(10));
459 BOOST_TEST_EQ(lcm_evaluator<T>()(25, -10), static_cast<T>(50));
460 BOOST_TEST_EQ(lcm_evaluator<T>()(3, 7), static_cast<T>(21));
461 BOOST_TEST_EQ(lcm_evaluator<T>()(8, 9), static_cast<T>(72));
462 BOOST_TEST_EQ(lcm_evaluator<T>()(7, 49), static_cast<T>(49));
465 // LCM on unmarked signed integer type
466 void lcm_unmarked_int_test()
469 using boost::integer::lcm;
471 using namespace boost::integer;
474 // The regular signed-integer LCM function performs the unsigned version,
475 // then does an absolute-value on the result. Signed types that are not
476 // marked as such (due to no std::numeric_limits specialization) may be off
478 BOOST_TEST_EQ( abs(boost::integer::lcm( static_cast<MyInt2>(1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
479 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-1), static_cast<MyInt2>(1) )), MyInt2( 1) );
480 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(1), static_cast<MyInt2>(1) )), MyInt2( 1) );
481 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
482 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(0), static_cast<MyInt2>(0) )), MyInt2( 0) );
483 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(6), static_cast<MyInt2>(0) )), MyInt2( 0) );
484 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(0), static_cast<MyInt2>(7) )), MyInt2( 0) );
485 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-5), static_cast<MyInt2>(0) )), MyInt2( 0) );
486 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(0), static_cast<MyInt2>(-4) )), MyInt2( 0) );
487 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(18), static_cast<MyInt2>(30) )), MyInt2(90) );
488 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-6), static_cast<MyInt2>(9) )), MyInt2(18) );
489 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-10), static_cast<MyInt2>(-10) )), MyInt2(10) );
490 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(25), static_cast<MyInt2>(-10) )), MyInt2(50) );
491 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(3), static_cast<MyInt2>(7) )), MyInt2(21) );
492 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(8), static_cast<MyInt2>(9) )), MyInt2(72) );
493 BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(7), static_cast<MyInt2>(49) )), MyInt2(49) );
496 // LCM on unsigned integer types
497 template< class T > void lcm_unsigned_test() // unsigned_test_types
500 using boost::integer::lcm;
502 using namespace boost::integer;
505 // Note that unmarked types (i.e. have no std::numeric_limits
506 // specialization) are treated like non/unsigned types
507 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(1u), static_cast<T>(1u)), static_cast<T>( 1u) );
508 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0u), static_cast<T>(0u)), static_cast<T>( 0u) );
509 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(6u), static_cast<T>(0u)), static_cast<T>( 0u) );
510 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0u), static_cast<T>(7u)), static_cast<T>( 0u) );
511 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(18u), static_cast<T>(30u)), static_cast<T>(90u) );
512 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(3u), static_cast<T>(7u)), static_cast<T>(21u) );
513 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(8u), static_cast<T>(9u)), static_cast<T>(72u) );
514 BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(7u), static_cast<T>(49u)), static_cast<T>(49u) );
517 // LCM at compile-time
518 void lcm_static_test()
521 using boost::integer::static_lcm;
523 using namespace boost::integer;
526 // Can't use "BOOST_TEST_EQ", otherwise the "value" member will be
527 // disqualified as compile-time-only constant, needing explicit definition
528 BOOST_TEST( (static_lcm< 1, 1>::value) == 1 );
529 BOOST_TEST( (static_lcm< 0, 0>::value) == 0 );
530 BOOST_TEST( (static_lcm< 6, 0>::value) == 0 );
531 BOOST_TEST( (static_lcm< 0, 7>::value) == 0 );
532 BOOST_TEST( (static_lcm<18, 30>::value) == 90 );
533 BOOST_TEST( (static_lcm< 3, 7>::value) == 21 );
534 BOOST_TEST( (static_lcm< 8, 9>::value) == 72 );
535 BOOST_TEST( (static_lcm< 7, 49>::value) == 49 );
540 unsigned i[] = { 44, 56, 76, 88 };
541 BOOST_TEST_EQ(boost::integer::gcd_range(i, i + 4).first, 4);
542 BOOST_TEST_EQ(boost::integer::gcd_range(i, i + 4).second, i + 4);
543 BOOST_TEST_EQ(boost::integer::lcm_range(i, i + 4).first, 11704);
544 BOOST_TEST_EQ(boost::integer::lcm_range(i, i + 4).second, i + 4);
546 unsigned i_gcd_unity[] = { 44, 56, 1, 88 };
547 BOOST_TEST_EQ(boost::integer::gcd_range(i_gcd_unity, i_gcd_unity + 4).first, 1);
548 BOOST_TEST_EQ(boost::integer::gcd_range(i_gcd_unity, i_gcd_unity + 4).second, i_gcd_unity + 3);
550 unsigned i_lcm_unity[] = { 44, 56, 0, 88 };
551 BOOST_TEST_EQ(boost::integer::lcm_range(i_lcm_unity, i_lcm_unity + 4).first, 0);
552 BOOST_TEST_EQ(boost::integer::lcm_range(i_lcm_unity, i_lcm_unity + 4).second, i_lcm_unity + 3);
554 #ifndef BOOST_NO_CXX11_VARIADIC_TEMPLATES
555 BOOST_TEST_EQ(boost::integer::gcd(i[0], i[1], i[2], i[3]), 4);
556 BOOST_TEST_EQ(boost::integer::lcm(i[0], i[1], i[2], i[3]), 11704);
560 // Test case from Boost.Rational, need to make sure we don't break the rational lib:
561 template <class T> void gcd_and_lcm_on_rationals()
563 typedef boost::rational<T> rational;
564 BOOST_TEST_EQ(boost::integer::gcd(rational(1, 4), rational(1, 3)),
566 BOOST_TEST_EQ(boost::integer::lcm(rational(1, 4), rational(1, 3)),
570 #ifndef DISABLE_MP_TESTS
571 #define TEST_SIGNED_( test ) \
572 test<signed char>(); \
577 test<boost::multiprecision::cpp_int>(); \
578 test<boost::multiprecision::int512_t>();
580 #define TEST_SIGNED_( test ) \
581 test<signed char>(); \
588 #ifdef BOOST_HAS_LONG_LONG
589 # define TEST_SIGNED__( test ) \
590 TEST_SIGNED_( test ) \
591 test<boost::long_long_type>();
592 #elif defined(BOOST_HAS_MS_INT64)
593 # define TEST_SIGNED__( test ) \
594 TEST_SIGNED_( test ) \
597 #ifndef DISABLE_MP_TESTS
598 #define TEST_UNSIGNED_( test ) \
599 test<unsigned char>(); \
600 test<unsigned short>(); \
602 test<unsigned long>(); \
603 test<MyUnsigned1>(); \
604 test<MyUnsigned2>(); \
605 test<boost::multiprecision::uint512_t>();
607 #define TEST_UNSIGNED_( test ) \
608 test<unsigned char>(); \
609 test<unsigned short>(); \
611 test<unsigned long>(); \
612 test<MyUnsigned1>(); \
616 #ifdef BOOST_HAS_LONG_LONG
617 # define TEST_UNSIGNED( test ) \
618 TEST_UNSIGNED_( test ) \
619 test<boost::ulong_long_type>();
620 #elif defined(BOOST_HAS_MS_INT64)
621 # define TEST_UNSIGNED( test ) \
622 TEST_UNSIGNED_( test ) \
623 test<unsigned __int64>();
626 #ifdef BOOST_INTEGER_HAS_GMPXX_H
627 # define TEST_SIGNED(test)\
630 # define TEST_SIGNED_NO_GMP(test) TEST_SIGNED__(test)
632 # define TEST_SIGNED(test) TEST_SIGNED__(test)
633 # define TEST_SIGNED_NO_GMP(test) TEST_SIGNED__(test)
638 TEST_SIGNED(gcd_int_test)
639 gcd_unmarked_int_test();
640 TEST_UNSIGNED(gcd_unsigned_test)
644 TEST_SIGNED(lcm_int_test)
645 lcm_unmarked_int_test();
646 TEST_UNSIGNED(lcm_unsigned_test)
649 TEST_SIGNED_NO_GMP(gcd_and_lcm_on_rationals)
651 return boost::report_errors();