| // test file for quaternion.hpp |
| |
| // (C) Copyright Hubert Holin 2001. |
| // Distributed under the Boost Software License, Version 1.0. (See |
| // accompanying file LICENSE_1_0.txt or copy at |
| // http://www.boost.org/LICENSE_1_0.txt) |
| |
| |
| #include <iomanip> |
| |
| |
| #include <boost/mpl/list.hpp> |
| |
| #include <boost/test/unit_test.hpp> |
| #include <boost/test/unit_test_log.hpp> |
| #include <boost/test/test_case_template.hpp> |
| |
| |
| #include <boost/math/quaternion.hpp> |
| |
| template<typename T> |
| struct string_type_name; |
| |
| #define DEFINE_TYPE_NAME(Type) \ |
| template<> struct string_type_name<Type> \ |
| { \ |
| static char const * _() \ |
| { \ |
| return #Type; \ |
| } \ |
| } |
| |
| DEFINE_TYPE_NAME(float); |
| DEFINE_TYPE_NAME(double); |
| DEFINE_TYPE_NAME(long double); |
| |
| |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| typedef boost::mpl::list<float,double,long double> test_types; |
| #else |
| typedef boost::mpl::list<float,double> test_types; |
| #endif |
| |
| // Apple GCC 4.0 uses the "double double" format for its long double, |
| // which means that epsilon is VERY small but useless for |
| // comparisons. So, don't do those comparisons. |
| #if (defined(__APPLE_CC__) && defined(__GNUC__) && __GNUC__ == 4) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) |
| typedef boost::mpl::list<float,double> near_eps_test_types; |
| #else |
| typedef boost::mpl::list<float,double,long double> near_eps_test_types; |
| #endif |
| |
| |
| #if BOOST_WORKAROUND(__GNUC__, < 3) |
| // gcc 2.x ignores function scope using declarations, |
| // put them in the scope of the enclosing namespace instead: |
| using ::std::sqrt; |
| using ::std::atan; |
| using ::std::log; |
| using ::std::exp; |
| using ::std::cos; |
| using ::std::sin; |
| using ::std::tan; |
| using ::std::cosh; |
| using ::std::sinh; |
| using ::std::tanh; |
| |
| using ::std::numeric_limits; |
| |
| using ::boost::math::abs; |
| #endif /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| |
| #ifdef BOOST_NO_STDC_NAMESPACE |
| using ::sqrt; |
| using ::atan; |
| using ::log; |
| using ::exp; |
| using ::cos; |
| using ::sin; |
| using ::tan; |
| using ::cosh; |
| using ::sinh; |
| using ::tanh; |
| #endif /* BOOST_NO_STDC_NAMESPACE */ |
| |
| #ifdef BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP |
| using ::boost::math::real; |
| using ::boost::math::unreal; |
| using ::boost::math::sup; |
| using ::boost::math::l1; |
| using ::boost::math::abs; |
| using ::boost::math::norm; |
| using ::boost::math::conj; |
| using ::boost::math::exp; |
| using ::boost::math::pow; |
| using ::boost::math::cos; |
| using ::boost::math::sin; |
| using ::boost::math::tan; |
| using ::boost::math::cosh; |
| using ::boost::math::sinh; |
| using ::boost::math::tanh; |
| using ::boost::math::sinc_pi; |
| using ::boost::math::sinhc_pi; |
| #endif /* BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP */ |
| |
| // Provide standard floating point abs() overloads if older Microsoft |
| // library is used with _MSC_EXTENSIONS defined. This code also works |
| // for the Intel compiler using the Microsoft library. |
| #if defined(_MSC_EXTENSIONS) && BOOST_WORKAROUND(_MSC_VER, < 1310) |
| #if !((__INTEL__ && _WIN32) && BOOST_WORKAROUND(__MWERKS__, >= 0x3201)) |
| inline float abs(float v) |
| { |
| return(fabs(v)); |
| } |
| |
| inline double abs(double v) |
| { |
| return(fabs(v)); |
| } |
| |
| inline long double abs(long double v) |
| { |
| return(fabs(v)); |
| } |
| #endif /* !((__INTEL__ && _WIN32) && BOOST_WORKAROUND(__MWERKS__, >= 0x3201)) */ |
| #endif /* defined(_MSC_EXTENSIONS) && BOOST_WORKAROUND(_MSC_VER, < 1310) */ |
| |
| |
| // explicit (if ludicrous) instanciation |
| #if !BOOST_WORKAROUND(__GNUC__, < 3) |
| template class ::boost::math::quaternion<int>; |
| #else |
| // gcc doesn't like the absolutely-qualified namespace |
| template class boost::math::quaternion<int>; |
| #endif /* !BOOST_WORKAROUND(__GNUC__) */ |
| |
| |
| |
| void quaternion_manual_test() |
| { |
| // tests for evaluation by humans |
| |
| |
| // using default constructor |
| ::boost::math::quaternion<float> q0; |
| |
| ::boost::math::quaternion<float> qa[2]; |
| |
| // using constructor "H seen as R^4" |
| ::boost::math::quaternion<double> q1(1,2,3,4); |
| |
| ::std::complex<float> c0(5,6); |
| |
| // using constructor "H seen as C^2" |
| ::boost::math::quaternion<float> q2(c0); |
| |
| // using UNtemplated copy constructor |
| ::boost::math::quaternion<float> q3(q2); |
| |
| // using templated copy constructor |
| ::boost::math::quaternion<long double> q4(q3); |
| |
| // using UNtemplated assignment operator |
| q3 = q0; |
| qa[0] = q0; |
| |
| // using templated assignment operator |
| q4 = q0; |
| qa[1] = q1; |
| |
| float f0(7); |
| |
| // using converting assignment operator |
| q2 = f0; |
| |
| // using converting assignment operator |
| q3 = c0; |
| |
| // using += (const T &) |
| q2 += f0; |
| |
| // using += (const ::std::complex<T> &) |
| q2 += c0; |
| |
| // using += (const quaternion<X> &) |
| q2 += q3; |
| |
| // using -= (const T &) |
| q3 -= f0; |
| |
| // using -= (const ::std::complex<T> &) |
| q3 -= c0; |
| |
| // using -= (const quaternion<X> &) |
| q3 -= q2; |
| |
| double d0(8); |
| ::std::complex<double> c1(9,10); |
| |
| // using *= (const T &) |
| q1 *= d0; |
| |
| // using *= (const ::std::complex<T> &) |
| q1 *= c1; |
| |
| // using *= (const quaternion<X> &) |
| q1 *= q1; |
| |
| long double l0(11); |
| ::std::complex<long double> c2(12,13); |
| |
| // using /= (const T &) |
| q4 /= l0; |
| |
| // using /= (const ::std::complex<T> &) |
| q4 /= c2; |
| |
| // using /= (const quaternion<X> &) |
| q4 /= q1; |
| |
| // using + (const T &, const quaternion<T> &) |
| ::boost::math::quaternion<float> q5 = f0+q2; |
| |
| // using + (const quaternion<T> &, const T &) |
| ::boost::math::quaternion<float> q6 = q2+f0; |
| |
| // using + (const ::std::complex<T> &, const quaternion<T> &) |
| ::boost::math::quaternion<float> q7 = c0+q2; |
| |
| // using + (const quaternion<T> &, const ::std::complex<T> &) |
| ::boost::math::quaternion<float> q8 = q2+c0; |
| |
| // using + (const quaternion<T> &,const quaternion<T> &) |
| ::boost::math::quaternion<float> q9 = q2+q3; |
| |
| // using - (const T &, const quaternion<T> &) |
| q5 = f0-q2; |
| |
| // using - (const quaternion<T> &, const T &) |
| q6 = q2-f0; |
| |
| // using - (const ::std::complex<T> &, const quaternion<T> &) |
| q7 = c0-q2; |
| |
| // using - (const quaternion<T> &, const ::std::complex<T> &) |
| q8 = q2-c0; |
| |
| // using - (const quaternion<T> &,const quaternion<T> &) |
| q9 = q2-q3; |
| |
| // using * (const T &, const quaternion<T> &) |
| q5 = f0*q2; |
| |
| // using * (const quaternion<T> &, const T &) |
| q6 = q2*f0; |
| |
| // using * (const ::std::complex<T> &, const quaternion<T> &) |
| q7 = c0*q2; |
| |
| // using * (const quaternion<T> &, const ::std::complex<T> &) |
| q8 = q2*c0; |
| |
| // using * (const quaternion<T> &,const quaternion<T> &) |
| q9 = q2*q3; |
| |
| // using / (const T &, const quaternion<T> &) |
| q5 = f0/q2; |
| |
| // using / (const quaternion<T> &, const T &) |
| q6 = q2/f0; |
| |
| // using / (const ::std::complex<T> &, const quaternion<T> &) |
| q7 = c0/q2; |
| |
| // using / (const quaternion<T> &, const ::std::complex<T> &) |
| q8 = q2/c0; |
| |
| // using / (const quaternion<T> &,const quaternion<T> &) |
| q9 = q2/q3; |
| |
| // using + (const quaternion<T> &) |
| q2 = +q0; |
| |
| // using - (const quaternion<T> &) |
| q2 = -q3; |
| |
| // using == (const T &, const quaternion<T> &) |
| f0 == q2; |
| |
| // using == (const quaternion<T> &, const T &) |
| q2 == f0; |
| |
| // using == (const ::std::complex<T> &, const quaternion<T> &) |
| c0 == q2; |
| |
| // using == (const quaternion<T> &, const ::std::complex<T> &) |
| q2 == c0; |
| |
| // using == (const quaternion<T> &,const quaternion<T> &) |
| q2 == q3; |
| |
| // using != (const T &, const quaternion<T> &) |
| f0 != q2; |
| |
| // using != (const quaternion<T> &, const T &) |
| q2 != f0; |
| |
| // using != (const ::std::complex<T> &, const quaternion<T> &) |
| c0 != q2; |
| |
| // using != (const quaternion<T> &, const ::std::complex<T> &) |
| q2 != c0; |
| |
| // using != (const quaternion<T> &,const quaternion<T> &) |
| q2 != q3; |
| |
| BOOST_MESSAGE("Please input a quaternion..."); |
| |
| #ifdef BOOST_INTERACTIVE_TEST_INPUT_ITERATOR |
| ::std::cin >> q0; |
| |
| if (::std::cin.fail()) |
| { |
| BOOST_MESSAGE("You have entered nonsense!"); |
| } |
| else |
| { |
| BOOST_MESSAGE("You have entered the quaternion "<< q0 << " ."); |
| } |
| #else |
| ::std::istringstream bogus("(1,2,3,4)"); |
| |
| bogus >> q0; |
| |
| BOOST_MESSAGE("You have entered the quaternion " << q0 << " ."); |
| #endif |
| |
| BOOST_MESSAGE("For this quaternion:"); |
| |
| BOOST_MESSAGE( "the value of the real part is " |
| << real(q0)); |
| |
| BOOST_MESSAGE( "the value of the unreal part is " |
| << unreal(q0)); |
| |
| BOOST_MESSAGE( "the value of the sup norm is " |
| << sup(q0)); |
| |
| BOOST_MESSAGE( "the value of the l1 norm is " |
| << l1(q0)); |
| |
| BOOST_MESSAGE( "the value of the magnitude (euclidian norm) is " |
| << abs(q0)); |
| |
| BOOST_MESSAGE( "the value of the (Cayley) norm is " |
| << norm(q0)); |
| |
| BOOST_MESSAGE( "the value of the conjugate is " |
| << conj(q0)); |
| |
| BOOST_MESSAGE( "the value of the exponential is " |
| << exp(q0)); |
| |
| BOOST_MESSAGE( "the value of the cube is " |
| << pow(q0,3)); |
| |
| BOOST_MESSAGE( "the value of the cosinus is " |
| << cos(q0)); |
| |
| BOOST_MESSAGE( "the value of the sinus is " |
| << sin(q0)); |
| |
| BOOST_MESSAGE( "the value of the tangent is " |
| << tan(q0)); |
| |
| BOOST_MESSAGE( "the value of the hyperbolic cosinus is " |
| << cosh(q0)); |
| |
| BOOST_MESSAGE( "the value of the hyperbolic sinus is " |
| << sinh(q0)); |
| |
| BOOST_MESSAGE( "the value of the hyperbolic tangent is " |
| << tanh(q0)); |
| |
| #ifdef BOOST_NO_TEMPLATE_TEMPLATES |
| BOOST_MESSAGE("no template templates, can't compute cardinal functions"); |
| #else /* BOOST_NO_TEMPLATE_TEMPLATES */ |
| BOOST_MESSAGE( "the value of " |
| << "the Sinus Cardinal (of index pi) is " |
| << sinc_pi(q0)); |
| |
| BOOST_MESSAGE( "the value of " |
| << "the Hyperbolic Sinus Cardinal (of index pi) is " |
| << sinhc_pi(q0)); |
| #endif /* BOOST_NO_TEMPLATE_TEMPLATES */ |
| |
| BOOST_MESSAGE(" "); |
| |
| float rho = ::std::sqrt(8.0f); |
| float theta = ::std::atan(1.0f); |
| float phi1 = ::std::atan(1.0f); |
| float phi2 = ::std::atan(1.0f); |
| |
| BOOST_MESSAGE( "The value of the quaternion represented " |
| << "in spherical form by " |
| << "rho = " << rho << " , theta = " << theta |
| << " , phi1 = " << phi1 << " , phi2 = " << phi2 |
| << " is " |
| << ::boost::math::spherical(rho, theta, phi1, phi2)); |
| |
| float alpha = ::std::atan(1.0f); |
| |
| BOOST_MESSAGE( "The value of the quaternion represented " |
| << "in semipolar form by " |
| << "rho = " << rho << " , alpha = " << alpha |
| << " , phi1 = " << phi1 << " , phi2 = " << phi2 |
| << " is " |
| << ::boost::math::semipolar(rho, alpha, phi1, phi2)); |
| |
| float rho1 = 1; |
| float rho2 = 2; |
| float theta1 = 0; |
| float theta2 = ::std::atan(1.0f)*2; |
| |
| BOOST_MESSAGE( "The value of the quaternion represented " |
| << "in multipolar form by " |
| << "rho1 = " << rho1 << " , theta1 = " << theta1 |
| << " , rho2 = " << rho2 << " , theta2 = " << theta2 |
| << " is " |
| << ::boost::math::multipolar(rho1, theta1, rho2, theta2)); |
| |
| float t = 5; |
| float radius = ::std::sqrt(2.0f); |
| float longitude = ::std::atan(1.0f); |
| float lattitude = ::std::atan(::std::sqrt(3.0f)); |
| |
| BOOST_MESSAGE( "The value of the quaternion represented " |
| << "in cylindrospherical form by " |
| << "t = " << t << " , radius = " << radius |
| << " , longitude = " << longitude << " , latitude = " |
| << lattitude << " is " |
| << ::boost::math::cylindrospherical(t, radius, |
| longitude, lattitude)); |
| |
| float r = ::std::sqrt(2.0f); |
| float angle = ::std::atan(1.0f); |
| float h1 = 3; |
| float h2 = 4; |
| |
| BOOST_MESSAGE( "The value of the quaternion represented " |
| << "in cylindrical form by " |
| << "r = " << r << " , angle = " << angle |
| << " , h1 = " << h1 << " , h2 = " << h2 |
| << " is " |
| << ::boost::math::cylindrical(r, angle, h1, h2)); |
| |
| double real_1(1); |
| ::std::complex<double> complex_1(1); |
| ::std::complex<double> complex_i(0,1); |
| ::boost::math::quaternion<double> quaternion_1(1); |
| ::boost::math::quaternion<double> quaternion_i(0,1); |
| ::boost::math::quaternion<double> quaternion_j(0,0,1); |
| ::boost::math::quaternion<double> quaternion_k(0,0,0,1); |
| |
| BOOST_MESSAGE(" "); |
| |
| BOOST_MESSAGE( "Real 1: " << real_1 << " ; " |
| << "Complex 1: " << complex_1 << " ; " |
| << "Quaternion 1: " << quaternion_1 << " ."); |
| |
| BOOST_MESSAGE( "Complex i: " << complex_i << " ; " |
| << "Quaternion i: " << quaternion_i << " ."); |
| |
| BOOST_MESSAGE( "Quaternion j: " << quaternion_j << " ."); |
| |
| BOOST_MESSAGE( "Quaternion k: " << quaternion_k << " ."); |
| |
| |
| BOOST_MESSAGE(" "); |
| |
| |
| BOOST_MESSAGE( "i*i: " << quaternion_i*quaternion_i << " ; " |
| << "j*j: " << quaternion_j*quaternion_j << " ; " |
| << "k*k: " << quaternion_k*quaternion_k << " ."); |
| BOOST_MESSAGE( "i*j: " << quaternion_i*quaternion_j << " ; " |
| << "j*i: " << quaternion_j*quaternion_i << " ."); |
| BOOST_MESSAGE( "j*k: " << quaternion_j*quaternion_k << " ; " |
| << "k*j: " << quaternion_k*quaternion_j << " ."); |
| BOOST_MESSAGE( "k*i: " << quaternion_k*quaternion_i << " ; " |
| << "i*k: " << quaternion_i*quaternion_k << " ."); |
| |
| BOOST_MESSAGE(" "); |
| } |
| |
| |
| BOOST_TEST_CASE_TEMPLATE_FUNCTION(multiplication_test, T) |
| { |
| #if BOOST_WORKAROUND(__GNUC__, < 3) |
| #else /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| using ::std::numeric_limits; |
| |
| using ::boost::math::abs; |
| #endif /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| |
| |
| BOOST_MESSAGE("Testing multiplication for " |
| << string_type_name<T>::_() << "."); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(1,0,0,0)* |
| ::boost::math::quaternion<T>(1,0,0,0)-static_cast<T>(1))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,1,0,0)* |
| ::boost::math::quaternion<T>(0,1,0,0)+static_cast<T>(1))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,0,1,0)* |
| ::boost::math::quaternion<T>(0,0,1,0)+static_cast<T>(1))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,0,0,1)* |
| ::boost::math::quaternion<T>(0,0,0,1)+static_cast<T>(1))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,1,0,0)* |
| ::boost::math::quaternion<T>(0,0,1,0)- |
| ::boost::math::quaternion<T>(0,0,0,1))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,0,1,0)* |
| ::boost::math::quaternion<T>(0,1,0,0)+ |
| ::boost::math::quaternion<T>(0,0,0,1))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,0,1,0)* |
| ::boost::math::quaternion<T>(0,0,0,1)- |
| ::boost::math::quaternion<T>(0,1,0,0))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,0,0,1)* |
| ::boost::math::quaternion<T>(0,0,1,0)+ |
| ::boost::math::quaternion<T>(0,1,0,0))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,0,0,1)* |
| ::boost::math::quaternion<T>(0,1,0,0)- |
| ::boost::math::quaternion<T>(0,0,1,0))) |
| (numeric_limits<T>::epsilon())); |
| |
| BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(), |
| (abs(::boost::math::quaternion<T>(0,1,0,0)* |
| ::boost::math::quaternion<T>(0,0,0,1)+ |
| ::boost::math::quaternion<T>(0,0,1,0))) |
| (numeric_limits<T>::epsilon())); |
| } |
| |
| |
| BOOST_TEST_CASE_TEMPLATE_FUNCTION(exp_test, T) |
| { |
| #if BOOST_WORKAROUND(__GNUC__, < 3) |
| #else /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| using ::std::numeric_limits; |
| |
| using ::std::atan; |
| |
| using ::boost::math::abs; |
| #endif /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| |
| |
| BOOST_MESSAGE("Testing exp for " |
| << string_type_name<T>::_() << "."); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(exp(::boost::math::quaternion<T> |
| (0,4*atan(static_cast<T>(1)),0,0))+static_cast<T>(1))) |
| (2*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(exp(::boost::math::quaternion<T> |
| (0,0,4*atan(static_cast<T>(1)),0))+static_cast<T>(1))) |
| (2*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(exp(::boost::math::quaternion<T> |
| (0,0,0,4*atan(static_cast<T>(1))))+static_cast<T>(1))) |
| (2*numeric_limits<T>::epsilon())); |
| } |
| |
| |
| BOOST_TEST_CASE_TEMPLATE_FUNCTION(cos_test, T) |
| { |
| #if BOOST_WORKAROUND(__GNUC__, < 3) |
| #else /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| using ::std::numeric_limits; |
| |
| using ::std::log; |
| |
| using ::boost::math::abs; |
| #endif /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| |
| |
| BOOST_MESSAGE("Testing cos for " |
| << string_type_name<T>::_() << "."); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T> |
| (0,log(static_cast<T>(2)),0,0))-static_cast<T>(5))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T> |
| (0,0,log(static_cast<T>(2)),0))-static_cast<T>(5))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T> |
| (0,0,0,log(static_cast<T>(2))))-static_cast<T>(5))) |
| (4*numeric_limits<T>::epsilon())); |
| } |
| |
| |
| BOOST_TEST_CASE_TEMPLATE_FUNCTION(sin_test, T) |
| { |
| #if BOOST_WORKAROUND(__GNUC__, < 3) |
| #else /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| using ::std::numeric_limits; |
| |
| using ::std::log; |
| |
| using ::boost::math::abs; |
| #endif /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| |
| |
| BOOST_MESSAGE("Testing sin for " |
| << string_type_name<T>::_() << "."); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T> |
| (0,log(static_cast<T>(2)),0,0)) |
| -::boost::math::quaternion<T>(0,3,0,0))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T> |
| (0,0,log(static_cast<T>(2)),0)) |
| -::boost::math::quaternion<T>(0,0,3,0))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T> |
| (0,0,0,log(static_cast<T>(2)))) |
| -::boost::math::quaternion<T>(0,0,0,3))) |
| (4*numeric_limits<T>::epsilon())); |
| } |
| |
| |
| BOOST_TEST_CASE_TEMPLATE_FUNCTION(cosh_test, T) |
| { |
| #if BOOST_WORKAROUND(__GNUC__, < 3) |
| #else /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| using ::std::numeric_limits; |
| |
| using ::std::atan; |
| |
| using ::boost::math::abs; |
| #endif /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| |
| |
| BOOST_MESSAGE("Testing cosh for " |
| << string_type_name<T>::_() << "."); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(cosh(::boost::math::quaternion<T> |
| (0,4*atan(static_cast<T>(1)),0,0)) |
| +static_cast<T>(1))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(cosh(::boost::math::quaternion<T> |
| (0,0,4*atan(static_cast<T>(1)),0)) |
| +static_cast<T>(1))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(cosh(::boost::math::quaternion<T> |
| (0,0,0,4*atan(static_cast<T>(1)))) |
| +static_cast<T>(1))) |
| (4*numeric_limits<T>::epsilon())); |
| } |
| |
| |
| BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinh_test, T) |
| { |
| #if BOOST_WORKAROUND(__GNUC__, < 3) |
| #else /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| using ::std::numeric_limits; |
| |
| using ::std::atan; |
| |
| using ::boost::math::abs; |
| #endif /* BOOST_WORKAROUND(__GNUC__, < 3) */ |
| |
| |
| BOOST_MESSAGE("Testing sinh for " |
| << string_type_name<T>::_() << "."); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(sinh(::boost::math::quaternion<T> |
| (0,2*atan(static_cast<T>(1)),0,0)) |
| -::boost::math::quaternion<T>(0,1,0,0))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(sinh(::boost::math::quaternion<T> |
| (0,0,2*atan(static_cast<T>(1)),0)) |
| -::boost::math::quaternion<T>(0,0,1,0))) |
| (4*numeric_limits<T>::epsilon())); |
| |
| BOOST_CHECK_PREDICATE(::std::less_equal<T>(), |
| (abs(sinh(::boost::math::quaternion<T> |
| (0,0,0,2*atan(static_cast<T>(1)))) |
| -::boost::math::quaternion<T>(0,0,0,1))) |
| (4*numeric_limits<T>::epsilon())); |
| } |
| |
| |
| boost::unit_test_framework::test_suite * init_unit_test_suite(int, char *[]) |
| { |
| ::boost::unit_test::unit_test_log. |
| set_threshold_level(::boost::unit_test::log_messages); |
| |
| boost::unit_test_framework::test_suite * test = |
| BOOST_TEST_SUITE("quaternion_test"); |
| |
| BOOST_MESSAGE("Results of quaternion test."); |
| BOOST_MESSAGE(" "); |
| BOOST_MESSAGE("(C) Copyright Hubert Holin 2003-2005."); |
| BOOST_MESSAGE("Distributed under the Boost Software License, Version 1.0."); |
| BOOST_MESSAGE("(See accompanying file LICENSE_1_0.txt or copy at"); |
| BOOST_MESSAGE("http://www.boost.org/LICENSE_1_0.txt)"); |
| BOOST_MESSAGE(" "); |
| |
| #define BOOST_QUATERNION_COMMON_GENERATOR(fct) \ |
| test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, test_types)); |
| |
| #define BOOST_QUATERNION_COMMON_GENERATOR_NEAR_EPS(fct) \ |
| test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, near_eps_test_types)); |
| |
| |
| #define BOOST_QUATERNION_TEST \ |
| BOOST_QUATERNION_COMMON_GENERATOR(multiplication) \ |
| BOOST_QUATERNION_COMMON_GENERATOR_NEAR_EPS(exp) \ |
| BOOST_QUATERNION_COMMON_GENERATOR_NEAR_EPS(cos) \ |
| BOOST_QUATERNION_COMMON_GENERATOR_NEAR_EPS(sin) \ |
| BOOST_QUATERNION_COMMON_GENERATOR_NEAR_EPS(cosh) \ |
| BOOST_QUATERNION_COMMON_GENERATOR_NEAR_EPS(sinh) |
| |
| |
| BOOST_QUATERNION_TEST |
| |
| |
| #undef BOOST_QUATERNION_TEST |
| |
| #undef BOOST_QUATERNION_COMMON_GENERATOR |
| #undef BOOST_QUATERNION_COMMON_GENERATOR_NEAR_EPS |
| |
| #ifdef BOOST_QUATERNION_TEST_VERBOSE |
| |
| test->add(BOOST_TEST_CASE(quaternion_manual_test)); |
| |
| #endif /* BOOST_QUATERNION_TEST_VERBOSE */ |
| |
| return test; |
| } |
| |
| #undef DEFINE_TYPE_NAME |
