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481 lines
20 KiB
C++
481 lines
20 KiB
C++
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// Boost GCD & LCM common_factor.hpp test program --------------------------//
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// (C) Copyright Daryle Walker 2001, 2006.
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// See http://www.boost.org for most recent version including documentation.
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// Revision History
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// 01 Dec 2006 Various fixes for old compilers (Joaquin M Lopez Munoz)
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// 10 Nov 2006 Make long long and __int64 mutually exclusive (Daryle Walker)
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// 04 Nov 2006 Use more built-in numeric types, binary-GCD (Daryle Walker)
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// 03 Nov 2006 Use custom numeric types (Daryle Walker)
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// 02 Nov 2006 Change to Boost.Test's unit test system (Daryle Walker)
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// 07 Nov 2001 Initial version (Daryle Walker)
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#define BOOST_TEST_MAIN "Boost.Math GCD & LCM unit tests"
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#include <boost/config.hpp> // for BOOST_MSVC, etc.
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#include <boost/detail/workaround.hpp>
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#include <boost/math/common_factor.hpp> // for boost::math::gcd, etc.
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#include <boost/mpl/list.hpp> // for boost::mpl::list
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#include <boost/operators.hpp>
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#include <boost/test/unit_test.hpp>
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#include <istream> // for std::basic_istream
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#include <limits> // for std::numeric_limits
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#include <ostream> // for std::basic_ostream
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namespace {
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// TODO: add polynominal/non-real type; especially after any switch to the
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// binary-GCD algorithm for built-in types
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// Custom integer class (template)
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template < typename IntType, int ID = 0 >
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class my_wrapped_integer
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: private ::boost::shiftable1<my_wrapped_integer<IntType, ID>,
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::boost::operators<my_wrapped_integer<IntType, ID> > >
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{
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// Helper type-aliases
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typedef my_wrapped_integer self_type;
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typedef IntType self_type::* bool_type;
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// Member data
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IntType v_;
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public:
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// Template parameters
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typedef IntType int_type;
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BOOST_STATIC_CONSTANT(int,id = ID);
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// Lifetime management (use automatic destructor and copy constructor)
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my_wrapped_integer( int_type const &v = int_type() ) : v_( v ) {}
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// Accessors
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int_type value() const { return this->v_; }
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// Operators (use automatic copy assignment)
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operator bool_type() const { return this->v_ ? &self_type::v_ : 0; }
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self_type & operator ++() { ++this->v_; return *this; }
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self_type & operator --() { --this->v_; return *this; }
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self_type operator ~() const { return self_type( ~this->v_ ); }
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self_type operator !() const { return self_type( !this->v_ ); }
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self_type operator +() const { return self_type( +this->v_ ); }
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self_type operator -() const { return self_type( -this->v_ ); }
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bool operator <( self_type const &r ) const { return this->v_ < r.v_; }
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bool operator ==( self_type const &r ) const { return this->v_ == r.v_; }
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self_type &operator *=(self_type const &r) {this->v_ *= r.v_; return *this;}
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self_type &operator /=(self_type const &r) {this->v_ /= r.v_; return *this;}
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self_type &operator %=(self_type const &r) {this->v_ %= r.v_; return *this;}
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self_type &operator +=(self_type const &r) {this->v_ += r.v_; return *this;}
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self_type &operator -=(self_type const &r) {this->v_ -= r.v_; return *this;}
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self_type &operator<<=(self_type const &r){this->v_ <<= r.v_; return *this;}
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self_type &operator>>=(self_type const &r){this->v_ >>= r.v_; return *this;}
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self_type &operator &=(self_type const &r) {this->v_ &= r.v_; return *this;}
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self_type &operator |=(self_type const &r) {this->v_ |= r.v_; return *this;}
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self_type &operator ^=(self_type const &r) {this->v_ ^= r.v_; return *this;}
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// Input & output
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friend std::istream & operator >>( std::istream &i, self_type &x )
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{ return i >> x.v_; }
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friend std::ostream & operator <<( std::ostream &o, self_type const &x )
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{ return o << x.v_; }
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}; // my_wrapped_integer
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template < typename IntType, int ID >
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my_wrapped_integer<IntType, ID> abs( my_wrapped_integer<IntType, ID> const &x )
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{ return ( x < my_wrapped_integer<IntType, ID>(0) ) ? -x : +x; }
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typedef my_wrapped_integer<int> MyInt1;
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typedef my_wrapped_integer<unsigned> MyUnsigned1;
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typedef my_wrapped_integer<int, 1> MyInt2;
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typedef my_wrapped_integer<unsigned, 1> MyUnsigned2;
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// Without these explicit instantiations, MSVC++ 6.5/7.0 does not find
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// some friend operators in certain contexts.
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MyInt1 dummy1;
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MyUnsigned1 dummy2;
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MyInt2 dummy3;
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MyUnsigned2 dummy4;
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// Various types to test with each GCD/LCM
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typedef ::boost::mpl::list<signed char, short, int, long,
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#if BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
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#elif defined(BOOST_HAS_LONG_LONG)
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boost::long_long_type,
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#elif defined(BOOST_HAS_MS_INT64)
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__int64,
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#endif
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MyInt1> signed_test_types;
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typedef ::boost::mpl::list<unsigned char, unsigned short, unsigned,
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unsigned long,
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#if BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
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#elif defined(BOOST_HAS_LONG_LONG)
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boost::ulong_long_type,
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#elif defined(BOOST_HAS_MS_INT64)
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unsigned __int64,
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#endif
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MyUnsigned1, MyUnsigned2> unsigned_test_types;
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} // namespace
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#define BOOST_NO_MACRO_EXPAND /**/
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// Specialize numeric_limits for _some_ of our types
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namespace std
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{
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template < >
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class numeric_limits< MyInt1 >
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{
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typedef MyInt1::int_type int_type;
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typedef numeric_limits<int_type> limits_type;
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public:
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BOOST_STATIC_CONSTANT(bool, is_specialized = limits_type::is_specialized);
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static MyInt1 min BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::min)(); }
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static MyInt1 max BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::max)(); }
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BOOST_STATIC_CONSTANT(int, digits = limits_type::digits);
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BOOST_STATIC_CONSTANT(int, digits10 = limits_type::digits10);
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#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
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BOOST_STATIC_CONSTANT(int, max_digits10 = limits_type::max_digits10);
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#endif
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BOOST_STATIC_CONSTANT(bool, is_signed = limits_type::is_signed);
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BOOST_STATIC_CONSTANT(bool, is_integer = limits_type::is_integer);
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BOOST_STATIC_CONSTANT(bool, is_exact = limits_type::is_exact);
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BOOST_STATIC_CONSTANT(int, radix = limits_type::radix);
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static MyInt1 epsilon() throw() { return limits_type::epsilon(); }
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static MyInt1 round_error() throw() { return limits_type::round_error(); }
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BOOST_STATIC_CONSTANT(int, min_exponent = limits_type::min_exponent);
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BOOST_STATIC_CONSTANT(int, min_exponent10 = limits_type::min_exponent10);
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BOOST_STATIC_CONSTANT(int, max_exponent = limits_type::max_exponent);
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BOOST_STATIC_CONSTANT(int, max_exponent10 = limits_type::max_exponent10);
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BOOST_STATIC_CONSTANT(bool, has_infinity = limits_type::has_infinity);
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BOOST_STATIC_CONSTANT(bool, has_quiet_NaN = limits_type::has_quiet_NaN);
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BOOST_STATIC_CONSTANT(bool, has_signaling_NaN = limits_type::has_signaling_NaN);
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BOOST_STATIC_CONSTANT(float_denorm_style, has_denorm = limits_type::has_denorm);
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BOOST_STATIC_CONSTANT(bool, has_denorm_loss = limits_type::has_denorm_loss);
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static MyInt1 infinity() throw() { return limits_type::infinity(); }
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static MyInt1 quiet_NaN() throw() { return limits_type::quiet_NaN(); }
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static MyInt1 signaling_NaN() throw() {return limits_type::signaling_NaN();}
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static MyInt1 denorm_min() throw() { return limits_type::denorm_min(); }
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BOOST_STATIC_CONSTANT(bool, is_iec559 = limits_type::is_iec559);
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BOOST_STATIC_CONSTANT(bool, is_bounded = limits_type::is_bounded);
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BOOST_STATIC_CONSTANT(bool, is_modulo = limits_type::is_modulo);
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BOOST_STATIC_CONSTANT(bool, traps = limits_type::traps);
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BOOST_STATIC_CONSTANT(bool, tinyness_before = limits_type::tinyness_before);
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BOOST_STATIC_CONSTANT(float_round_style, round_style = limits_type::round_style);
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}; // std::numeric_limits<MyInt1>
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template < >
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class numeric_limits< MyUnsigned1 >
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{
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typedef MyUnsigned1::int_type int_type;
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typedef numeric_limits<int_type> limits_type;
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public:
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BOOST_STATIC_CONSTANT(bool, is_specialized = limits_type::is_specialized);
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static MyUnsigned1 min BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::min)(); }
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static MyUnsigned1 max BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::max)(); }
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BOOST_STATIC_CONSTANT(int, digits = limits_type::digits);
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BOOST_STATIC_CONSTANT(int, digits10 = limits_type::digits10);
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#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
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BOOST_STATIC_CONSTANT(int, max_digits10 = limits_type::max_digits10);
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#endif
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BOOST_STATIC_CONSTANT(bool, is_signed = limits_type::is_signed);
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BOOST_STATIC_CONSTANT(bool, is_integer = limits_type::is_integer);
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BOOST_STATIC_CONSTANT(bool, is_exact = limits_type::is_exact);
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BOOST_STATIC_CONSTANT(int, radix = limits_type::radix);
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static MyUnsigned1 epsilon() throw() { return limits_type::epsilon(); }
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static MyUnsigned1 round_error() throw(){return limits_type::round_error();}
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BOOST_STATIC_CONSTANT(int, min_exponent = limits_type::min_exponent);
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BOOST_STATIC_CONSTANT(int, min_exponent10 = limits_type::min_exponent10);
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BOOST_STATIC_CONSTANT(int, max_exponent = limits_type::max_exponent);
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BOOST_STATIC_CONSTANT(int, max_exponent10 = limits_type::max_exponent10);
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BOOST_STATIC_CONSTANT(bool, has_infinity = limits_type::has_infinity);
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BOOST_STATIC_CONSTANT(bool, has_quiet_NaN = limits_type::has_quiet_NaN);
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BOOST_STATIC_CONSTANT(bool, has_signaling_NaN = limits_type::has_signaling_NaN);
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BOOST_STATIC_CONSTANT(float_denorm_style, has_denorm = limits_type::has_denorm);
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BOOST_STATIC_CONSTANT(bool, has_denorm_loss = limits_type::has_denorm_loss);
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static MyUnsigned1 infinity() throw() { return limits_type::infinity(); }
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static MyUnsigned1 quiet_NaN() throw() { return limits_type::quiet_NaN(); }
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static MyUnsigned1 signaling_NaN() throw()
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{ return limits_type::signaling_NaN(); }
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static MyUnsigned1 denorm_min() throw(){ return limits_type::denorm_min(); }
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BOOST_STATIC_CONSTANT(bool, is_iec559 = limits_type::is_iec559);
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BOOST_STATIC_CONSTANT(bool, is_bounded = limits_type::is_bounded);
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BOOST_STATIC_CONSTANT(bool, is_modulo = limits_type::is_modulo);
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BOOST_STATIC_CONSTANT(bool, traps = limits_type::traps);
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BOOST_STATIC_CONSTANT(bool, tinyness_before = limits_type::tinyness_before);
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BOOST_STATIC_CONSTANT(float_round_style, round_style = limits_type::round_style);
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}; // std::numeric_limits<MyUnsigned1>
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#if BOOST_WORKAROUND(BOOST_MSVC,<1300)
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// MSVC 6.0 lacks operator<< for __int64, see
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// http://support.microsoft.com/default.aspx?scid=kb;en-us;168440
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inline ostream& operator<<(ostream& os, __int64 i)
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{
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char buf[20];
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sprintf(buf,"%I64d", i);
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os << buf;
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return os;
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}
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inline ostream& operator<<(ostream& os, unsigned __int64 i)
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{
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char buf[20];
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sprintf(buf,"%I64u", i);
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os << buf;
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return os;
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}
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#endif
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} // namespace std
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// GCD tests
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BOOST_AUTO_TEST_SUITE( gcd_test_suite )
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// GCD on signed integer types
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BOOST_AUTO_TEST_CASE_TEMPLATE( gcd_int_test, T, signed_test_types )
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{
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#ifndef BOOST_MSVC
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using boost::math::gcd;
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#else
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using namespace boost::math;
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#endif
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// Originally from Boost.Rational tests
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BOOST_CHECK_EQUAL( gcd<T>( 1, -1), static_cast<T>( 1) );
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BOOST_CHECK_EQUAL( gcd<T>( -1, 1), static_cast<T>( 1) );
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BOOST_CHECK_EQUAL( gcd<T>( 1, 1), static_cast<T>( 1) );
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BOOST_CHECK_EQUAL( gcd<T>( -1, -1), static_cast<T>( 1) );
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BOOST_CHECK_EQUAL( gcd<T>( 0, 0), static_cast<T>( 0) );
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BOOST_CHECK_EQUAL( gcd<T>( 7, 0), static_cast<T>( 7) );
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BOOST_CHECK_EQUAL( gcd<T>( 0, 9), static_cast<T>( 9) );
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BOOST_CHECK_EQUAL( gcd<T>( -7, 0), static_cast<T>( 7) );
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BOOST_CHECK_EQUAL( gcd<T>( 0, -9), static_cast<T>( 9) );
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BOOST_CHECK_EQUAL( gcd<T>( 42, 30), static_cast<T>( 6) );
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BOOST_CHECK_EQUAL( gcd<T>( 6, -9), static_cast<T>( 3) );
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BOOST_CHECK_EQUAL( gcd<T>(-10, -10), static_cast<T>(10) );
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BOOST_CHECK_EQUAL( gcd<T>(-25, -10), static_cast<T>( 5) );
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BOOST_CHECK_EQUAL( gcd<T>( 3, 7), static_cast<T>( 1) );
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BOOST_CHECK_EQUAL( gcd<T>( 8, 9), static_cast<T>( 1) );
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BOOST_CHECK_EQUAL( gcd<T>( 7, 49), static_cast<T>( 7) );
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}
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// GCD on unmarked signed integer type
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BOOST_AUTO_TEST_CASE( gcd_unmarked_int_test )
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{
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#ifndef BOOST_MSVC
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using boost::math::gcd;
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#else
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using namespace boost::math;
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#endif
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// The regular signed-integer GCD function performs the unsigned version,
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// then does an absolute-value on the result. Signed types that are not
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// marked as such (due to no std::numeric_limits specialization) may be off
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// by a sign.
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BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 1, -1 )), MyInt2( 1) );
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BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( -1, 1 )), MyInt2( 1) );
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BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 1, 1 )), MyInt2( 1) );
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BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( -1, -1 )), MyInt2( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 0, 0 )), MyInt2( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 7, 0 )), MyInt2( 7) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 0, 9 )), MyInt2( 9) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( -7, 0 )), MyInt2( 7) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 0, -9 )), MyInt2( 9) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 42, 30 )), MyInt2( 6) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 6, -9 )), MyInt2( 3) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( -10, -10 )), MyInt2(10) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( -25, -10 )), MyInt2( 5) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 3, 7 )), MyInt2( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 8, 9 )), MyInt2( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(gcd<MyInt2>( 7, 49 )), MyInt2( 7) );
|
||
|
|
}
|
||
|
|
|
||
|
|
// GCD on unsigned integer types
|
||
|
|
BOOST_AUTO_TEST_CASE_TEMPLATE( gcd_unsigned_test, T, unsigned_test_types )
|
||
|
|
{
|
||
|
|
#ifndef BOOST_MSVC
|
||
|
|
using boost::math::gcd;
|
||
|
|
#else
|
||
|
|
using namespace boost::math;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// Note that unmarked types (i.e. have no std::numeric_limits
|
||
|
|
// specialization) are treated like non/unsigned types
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>( 1u, 1u), static_cast<T>( 1u) );
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>( 0u, 0u), static_cast<T>( 0u) );
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>( 7u, 0u), static_cast<T>( 7u) );
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>( 0u, 9u), static_cast<T>( 9u) );
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>(42u, 30u), static_cast<T>( 6u) );
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>( 3u, 7u), static_cast<T>( 1u) );
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>( 8u, 9u), static_cast<T>( 1u) );
|
||
|
|
BOOST_CHECK_EQUAL( gcd<T>( 7u, 49u), static_cast<T>( 7u) );
|
||
|
|
}
|
||
|
|
|
||
|
|
// GCD at compile-time
|
||
|
|
BOOST_AUTO_TEST_CASE( gcd_static_test )
|
||
|
|
{
|
||
|
|
#ifndef BOOST_MSVC
|
||
|
|
using boost::math::static_gcd;
|
||
|
|
#else
|
||
|
|
using namespace boost::math;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// Can't use "BOOST_CHECK_EQUAL", otherwise the "value" member will be
|
||
|
|
// disqualified as compile-time-only constant, needing explicit definition
|
||
|
|
BOOST_CHECK( (static_gcd< 1, 1>::value) == 1 );
|
||
|
|
BOOST_CHECK( (static_gcd< 0, 0>::value) == 0 );
|
||
|
|
BOOST_CHECK( (static_gcd< 7, 0>::value) == 7 );
|
||
|
|
BOOST_CHECK( (static_gcd< 0, 9>::value) == 9 );
|
||
|
|
BOOST_CHECK( (static_gcd<42, 30>::value) == 6 );
|
||
|
|
BOOST_CHECK( (static_gcd< 3, 7>::value) == 1 );
|
||
|
|
BOOST_CHECK( (static_gcd< 8, 9>::value) == 1 );
|
||
|
|
BOOST_CHECK( (static_gcd< 7, 49>::value) == 7 );
|
||
|
|
}
|
||
|
|
|
||
|
|
// TODO: non-built-in signed and unsigned integer tests, with and without
|
||
|
|
// numeric_limits specialization; polynominal tests; note any changes if
|
||
|
|
// built-ins switch to binary-GCD algorithm
|
||
|
|
|
||
|
|
BOOST_AUTO_TEST_SUITE_END()
|
||
|
|
|
||
|
|
|
||
|
|
// LCM tests
|
||
|
|
BOOST_AUTO_TEST_SUITE( lcm_test_suite )
|
||
|
|
|
||
|
|
// LCM on signed integer types
|
||
|
|
BOOST_AUTO_TEST_CASE_TEMPLATE( lcm_int_test, T, signed_test_types )
|
||
|
|
{
|
||
|
|
#ifndef BOOST_MSVC
|
||
|
|
using boost::math::lcm;
|
||
|
|
#else
|
||
|
|
using namespace boost::math;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// Originally from Boost.Rational tests
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 1, -1), static_cast<T>( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( -1, 1), static_cast<T>( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 1, 1), static_cast<T>( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( -1, -1), static_cast<T>( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 0, 0), static_cast<T>( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 6, 0), static_cast<T>( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 0, 7), static_cast<T>( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( -5, 0), static_cast<T>( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 0, -4), static_cast<T>( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 18, 30), static_cast<T>(90) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( -6, 9), static_cast<T>(18) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>(-10, -10), static_cast<T>(10) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 25, -10), static_cast<T>(50) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 3, 7), static_cast<T>(21) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 8, 9), static_cast<T>(72) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 7, 49), static_cast<T>(49) );
|
||
|
|
}
|
||
|
|
|
||
|
|
// LCM on unmarked signed integer type
|
||
|
|
BOOST_AUTO_TEST_CASE( lcm_unmarked_int_test )
|
||
|
|
{
|
||
|
|
#ifndef BOOST_MSVC
|
||
|
|
using boost::math::lcm;
|
||
|
|
#else
|
||
|
|
using namespace boost::math;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// The regular signed-integer LCM function performs the unsigned version,
|
||
|
|
// then does an absolute-value on the result. Signed types that are not
|
||
|
|
// marked as such (due to no std::numeric_limits specialization) may be off
|
||
|
|
// by a sign.
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 1, -1 )), MyInt2( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( -1, 1 )), MyInt2( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 1, 1 )), MyInt2( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( -1, -1 )), MyInt2( 1) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 0, 0 )), MyInt2( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 6, 0 )), MyInt2( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 0, 7 )), MyInt2( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( -5, 0 )), MyInt2( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 0, -4 )), MyInt2( 0) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 18, 30 )), MyInt2(90) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( -6, 9 )), MyInt2(18) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( -10, -10 )), MyInt2(10) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 25, -10 )), MyInt2(50) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 3, 7 )), MyInt2(21) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 8, 9 )), MyInt2(72) );
|
||
|
|
BOOST_CHECK_EQUAL( abs(lcm<MyInt2>( 7, 49 )), MyInt2(49) );
|
||
|
|
}
|
||
|
|
|
||
|
|
// LCM on unsigned integer types
|
||
|
|
BOOST_AUTO_TEST_CASE_TEMPLATE( lcm_unsigned_test, T, unsigned_test_types )
|
||
|
|
{
|
||
|
|
#ifndef BOOST_MSVC
|
||
|
|
using boost::math::lcm;
|
||
|
|
#else
|
||
|
|
using namespace boost::math;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// Note that unmarked types (i.e. have no std::numeric_limits
|
||
|
|
// specialization) are treated like non/unsigned types
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 1u, 1u), static_cast<T>( 1u) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 0u, 0u), static_cast<T>( 0u) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 6u, 0u), static_cast<T>( 0u) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 0u, 7u), static_cast<T>( 0u) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>(18u, 30u), static_cast<T>(90u) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 3u, 7u), static_cast<T>(21u) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 8u, 9u), static_cast<T>(72u) );
|
||
|
|
BOOST_CHECK_EQUAL( lcm<T>( 7u, 49u), static_cast<T>(49u) );
|
||
|
|
}
|
||
|
|
|
||
|
|
// LCM at compile-time
|
||
|
|
BOOST_AUTO_TEST_CASE( lcm_static_test )
|
||
|
|
{
|
||
|
|
#ifndef BOOST_MSVC
|
||
|
|
using boost::math::static_lcm;
|
||
|
|
#else
|
||
|
|
using namespace boost::math;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// Can't use "BOOST_CHECK_EQUAL", otherwise the "value" member will be
|
||
|
|
// disqualified as compile-time-only constant, needing explicit definition
|
||
|
|
BOOST_CHECK( (static_lcm< 1, 1>::value) == 1 );
|
||
|
|
BOOST_CHECK( (static_lcm< 0, 0>::value) == 0 );
|
||
|
|
BOOST_CHECK( (static_lcm< 6, 0>::value) == 0 );
|
||
|
|
BOOST_CHECK( (static_lcm< 0, 7>::value) == 0 );
|
||
|
|
BOOST_CHECK( (static_lcm<18, 30>::value) == 90 );
|
||
|
|
BOOST_CHECK( (static_lcm< 3, 7>::value) == 21 );
|
||
|
|
BOOST_CHECK( (static_lcm< 8, 9>::value) == 72 );
|
||
|
|
BOOST_CHECK( (static_lcm< 7, 49>::value) == 49 );
|
||
|
|
}
|
||
|
|
|
||
|
|
// TODO: see GCD to-do
|
||
|
|
|
||
|
|
BOOST_AUTO_TEST_SUITE_END()
|