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/***************************************************************************
* Copyright (c) Johan Mabille, Sylvain Corlay, Wolf Vollprecht and *
* Martin Renou *
* Copyright (c) QuantStack *
* Copyright (c) Serge Guelton *
* *
* Distributed under the terms of the BSD 3-Clause License. *
* *
* The full license is in the file LICENSE, distributed with this software. *
****************************************************************************/
#include "xsimd/xsimd.hpp"
#ifndef XSIMD_NO_SUPPORTED_ARCHITECTURE
#include "test_utils.hpp"
template <class B>
struct complex_power_test
{
using batch_type = B;
using real_batch_type = typename B::real_batch;
using value_type = typename B::value_type;
using real_value_type = typename value_type::value_type;
static constexpr size_t size = B::size;
using vector_type = std::vector<value_type>;
using real_vector_type = std::vector<real_value_type>;
size_t nb_input;
real_vector_type lhs_p;
vector_type lhs_nn;
vector_type lhs_pn;
vector_type lhs_np;
vector_type lhs_pp;
vector_type rhs;
vector_type expected;
vector_type res;
complex_power_test()
{
nb_input = 10000 * size;
lhs_p.resize(nb_input);
lhs_nn.resize(nb_input);
lhs_pn.resize(nb_input);
lhs_np.resize(nb_input);
lhs_pp.resize(nb_input);
rhs.resize(nb_input);
for (size_t i = 0; i < nb_input; ++i)
{
real_value_type real = (real_value_type(i) / 4 + real_value_type(1.2) * std::sqrt(real_value_type(i + 0.25))) / 100;
real_value_type imag = (real_value_type(i) / 7 + real_value_type(1.7) * std::sqrt(real_value_type(i + 0.37))) / 100;
lhs_p[i] = real;
lhs_nn[i] = value_type(-real, -imag);
lhs_pn[i] = value_type(real, -imag);
lhs_np[i] = value_type(-real, imag);
lhs_pp[i] = value_type(real, imag);
rhs[i] = value_type(real_value_type(10.2) / (i + 2) + real_value_type(0.25),
real_value_type(9.1) / (i + 3) + real_value_type(0.45));
}
expected.resize(nb_input);
res.resize(nb_input);
}
void test_abs()
{
real_vector_type real_expected(nb_input), real_res(nb_input);
std::transform(lhs_np.cbegin(), lhs_np.cend(), real_expected.begin(),
[](const value_type& v)
{ using std::abs; return abs(v); });
batch_type in;
real_batch_type out;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(in, lhs_np, i);
out = abs(in);
detail::store_batch(out, real_res, i);
}
size_t diff = detail::get_nb_diff(real_res, real_expected);
CHECK_EQ(diff, 0);
}
void test_arg()
{
real_vector_type real_expected(nb_input), real_res(nb_input);
std::transform(lhs_np.cbegin(), lhs_np.cend(), real_expected.begin(),
[](const value_type& v)
{ using std::arg; return arg(v); });
batch_type in;
real_batch_type out;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(in, lhs_np, i);
out = arg(in);
detail::store_batch(out, real_res, i);
}
size_t diff = detail::get_nb_diff(real_res, real_expected);
CHECK_EQ(diff, 0);
}
void test_pow()
{
std::transform(lhs_np.cbegin(), lhs_np.cend(), rhs.cbegin(), expected.begin(),
[](const value_type& l, const value_type& r)
{ using std::pow; return pow(l, r); });
batch_type lhs_in, rhs_in, out;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(lhs_in, lhs_np, i);
detail::load_batch(rhs_in, rhs, i);
out = pow(lhs_in, rhs_in);
detail::store_batch(out, res, i);
}
size_t diff = detail::get_nb_diff_near(res, expected, std::numeric_limits<real_value_type>::epsilon());
CHECK_EQ(diff, 0);
}
void test_pow_real_complex()
{
std::transform(lhs_p.cbegin(), lhs_p.cend(), lhs_pp.cbegin(), expected.begin(),
[](const real_value_type& l, const value_type& r)
{ using std::pow; return pow(l, r); });
batch_type rhs_in, out;
real_batch_type lhs_in;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(lhs_in, lhs_p, i);
detail::load_batch(rhs_in, lhs_pp, i);
out = pow(lhs_in, rhs_in);
detail::store_batch(out, res, i);
}
size_t diff = detail::get_nb_diff_near(res, expected, std::numeric_limits<real_value_type>::epsilon());
CHECK_EQ(diff, 0);
}
void test_pow_complex_real()
{
std::transform(lhs_pp.cbegin(), lhs_pp.cend(), lhs_p.cbegin(), expected.begin(),
[](const value_type& l, const real_value_type& r)
{ using std::pow; return pow(l, r); });
batch_type rhs_in, out;
real_batch_type lhs_in;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(lhs_in, lhs_p, i);
detail::load_batch(rhs_in, lhs_pp, i);
out = pow(lhs_in, rhs_in);
detail::store_batch(out, res, i);
}
size_t diff = detail::get_nb_diff_near(res, expected, std::numeric_limits<real_value_type>::epsilon());
CHECK_EQ(diff, 0);
}
void test_sqrt_nn()
{
std::transform(lhs_nn.cbegin(), lhs_nn.cend(), expected.begin(),
[](const value_type& v)
{ using std::sqrt; return sqrt(v); });
batch_type in, out;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(in, lhs_nn, i);
out = sqrt(in);
detail::store_batch(out, res, i);
}
size_t diff = detail::get_nb_diff(res, expected);
CHECK_EQ(diff, 0);
}
void test_sqrt_pn()
{
std::transform(lhs_pn.cbegin(), lhs_pn.cend(), expected.begin(),
[](const value_type& v)
{ using std::sqrt; return sqrt(v); });
batch_type in, out;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(in, lhs_pn, i);
out = sqrt(in);
detail::store_batch(out, res, i);
}
size_t diff = detail::get_nb_diff(res, expected);
CHECK_EQ(diff, 0);
}
void test_sqrt_np()
{
std::transform(lhs_np.cbegin(), lhs_np.cend(), expected.begin(),
[](const value_type& v)
{ using std::sqrt; return sqrt(v); });
batch_type in, out;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(in, lhs_np, i);
out = sqrt(in);
detail::store_batch(out, res, i);
}
size_t diff = detail::get_nb_diff(res, expected);
CHECK_EQ(diff, 0);
}
void test_sqrt_pp()
{
std::transform(lhs_pp.cbegin(), lhs_pp.cend(), expected.begin(),
[](const value_type& v)
{ using std::sqrt; return sqrt(v); });
batch_type in, out;
for (size_t i = 0; i < nb_input; i += size)
{
detail::load_batch(in, lhs_pp, i);
out = sqrt(in);
detail::store_batch(out, res, i);
}
size_t diff = detail::get_nb_diff(res, expected);
CHECK_EQ(diff, 0);
}
};
TEST_CASE_TEMPLATE("[complex power]", B, BATCH_COMPLEX_TYPES)
{
complex_power_test<B> Test;
SUBCASE("abs")
{
Test.test_abs();
}
SUBCASE("arg")
{
Test.test_arg();
}
SUBCASE("pow")
{
Test.test_pow();
}
SUBCASE("pow real complex")
{
Test.test_pow_real_complex();
}
SUBCASE("pow complex real")
{
Test.test_pow_complex_real();
}
SUBCASE("sqrt_nn")
{
Test.test_sqrt_nn();
}
SUBCASE("sqrt_pn")
{
Test.test_sqrt_pn();
}
SUBCASE("sqrt_np")
{
Test.test_sqrt_np();
}
SUBCASE("sqrt_pp")
{
Test.test_sqrt_pp();
}
}
#endif
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