NT2_TEST_CASE_TPL ( cotpi_real__1_0, NT2_SIMD_REAL_TYPES)
{
using nt2::cotpi;
using nt2::tag::cotpi_;
using nt2::load;
using boost::simd::native;
using nt2::meta::cardinal_of;
typedef NT2_SIMD_DEFAULT_EXTENSION ext_t;
typedef typename nt2::meta::upgrade<T>::type u_t;
typedef native<T,ext_t> n_t;
typedef n_t vT;
typedef typename nt2::meta::as_integer<T>::type iT;
typedef native<iT,ext_t> ivT;
typedef typename nt2::meta::call<cotpi_(vT)>::type r_t;
typedef typename nt2::meta::call<cotpi_(T)>::type sr_t;
typedef typename nt2::meta::scalar_of<r_t>::type ssr_t;
double ulpd;
ulpd=0.0;
// specific values tests
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Quarter<vT>())[0], nt2::Mone<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Zero<vT>())[0], -nt2::Inf<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Half<vT>())[0], nt2::Zero<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Inf<vT>())[0], nt2::Nan<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Mhalf<vT>())[0], nt2::Zero<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Minf<vT>())[0], nt2::Nan<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Nan<vT>())[0], nt2::Nan<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::One<vT>())[0], nt2::Nan<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Quarter<vT>())[0], nt2::One<sr_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Zero<vT>())[0], nt2::Inf<sr_t>(), 0.5);
} // end of test for floating_
NT2_TEST_CASE_TPL ( cotpi_real__1_0, NT2_REAL_TYPES)
{
using nt2::cotpi;
using nt2::tag::cotpi_;
typedef typename nt2::meta::as_integer<T>::type iT;
typedef typename nt2::meta::call<cotpi_(T)>::type r_t;
typedef typename nt2::meta::scalar_of<r_t>::type ssr_t;
typedef typename nt2::meta::upgrade<T>::type u_t;
typedef typename boost::dispatch::meta::as_floating<T>::type wished_r_t;
// return type conformity test
NT2_TEST( (boost::is_same < r_t, wished_r_t >::value) );
std::cout << std::endl;
// specific values tests
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Quarter<T>()), nt2::Mone<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Zero<T>()), -nt2::Inf<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Half<T>()), nt2::Zero<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Inf<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Mhalf<T>()), nt2::Zero<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Minf<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Nan<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::One<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Quarter<T>()), nt2::One<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Zero<T>()), nt2::Inf<r_t>(), 0.5);
} // end of test for floating_
NT2_TEST_CASE_TPL ( cotpi_real, NT2_REAL_TYPES)
{
using nt2::cotpi;
using nt2::tag::cotpi_;
typedef typename nt2::meta::call<cotpi_(T)>::type r_t;
typedef T wished_r_t;
// return type conformity test
NT2_TEST_TYPE_IS(r_t, wished_r_t);
// specific values tests
#ifndef BOOST_SIMD_NO_INVALIDS
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Zero<T>()), -nt2::Inf<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Inf<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Minf<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Nan<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::One<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Zero<T>()), nt2::Inf<r_t>(), 0.5);
#endif
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Quarter<T>()), nt2::Mone<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Half<T>()), nt2::Zero<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Mhalf<T>()), nt2::Zero<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Quarter<T>()), nt2::One<r_t>(), 0.5);
}
NT2_TEST_CASE_TPL ( cotpi_real__1_0, NT2_REAL_TYPES)
{
using nt2::cotpi;
using nt2::tag::cotpi_;
typedef typename nt2::meta::as_integer<T>::type iT;
typedef typename nt2::meta::call<cotpi_(T)>::type r_t;
typedef typename nt2::meta::upgrade<T>::type u_t;
typedef typename boost::result_of<nt2::meta::floating(T)>::type wished_r_t;
// return type conformity test
NT2_TEST( (boost::is_same < r_t, wished_r_t >::value) );
std::cout << std::endl;
double ulpd;
ulpd=0.0;
// specific values tests
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Quarter<T>()), nt2::Mone<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(-nt2::Zero<T>()), -nt2::Inf<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Half<T>()), nt2::Zero<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Inf<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Mhalf<T>()), nt2::Zero<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Minf<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Nan<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::One<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Quarter<T>()), nt2::One<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Zero<T>()), nt2::Inf<r_t>(), 0.5);
// random verifications
static const uint32_t NR = NT2_NB_RANDOM_TEST;
{
NT2_CREATE_BUF(tab_a0,T, NR, T(-40), T(40));
double ulp0, ulpd ; ulpd=ulp0=0.0;
T a0;
for (uint32_t j =0; j < NR; ++j )
{
std::cout << "for param "
<< " a0 = "<< u_t(a0 = tab_a0[j])
<< std::endl;
NT2_TEST_ULP_EQUAL( nt2::cotpi(a0),1.0l/(::cephes_tanl(nt2::long_pi*a0)),10.0);
ulp0=nt2::max(ulpd,ulp0);
}
std::cout << "max ulp found is: " << ulp0 << std::endl;
}
} // end of test for real_
NT2_TEST_CASE_TPL ( cotpi_unsigned_int__1_0, NT2_UNSIGNED_TYPES)
{
using nt2::cotpi;
using nt2::tag::cotpi_;
typedef typename nt2::meta::as_integer<T>::type iT;
typedef typename nt2::meta::call<cotpi_(T)>::type r_t;
typedef typename nt2::meta::upgrade<T>::type u_t;
typedef typename boost::result_of<nt2::meta::floating(T)>::type wished_r_t;
// return type conformity test
NT2_TEST( (boost::is_same < r_t, wished_r_t >::value) );
std::cout << std::endl;
double ulpd;
ulpd=0.0;
// specific values tests
NT2_TEST_ULP_EQUAL(cotpi(nt2::One<T>()), nt2::Nan<r_t>(), 0.5);
NT2_TEST_ULP_EQUAL(cotpi(nt2::Zero<T>()), nt2::Nan<r_t>(), 0.5);
} // end of test for unsigned_int_
