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// Copyright John Maddock 2015.
// Use, modification and distribution are subject to 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)
#ifdef _MSC_VER
# pragma warning (disable : 4224)
#endif
#include <boost/array.hpp>
#include <boost/lexical_cast.hpp>
#include "../../test/table_type.hpp"
#include "table_helper.hpp"
#include "performance.hpp"
#include <iostream>
#define evaluate_polynomial_c_imp evaluate_polynomial_c_imp_1
#undef BOOST_MATH_TOOLS_POLY_EVAL_20_HPP
#include <boost/math/tools/detail/polynomial_horner1_20.hpp>
#undef evaluate_polynomial_c_imp
#undef BOOST_MATH_TOOLS_POLY_EVAL_20_HPP
#define evaluate_polynomial_c_imp evaluate_polynomial_c_imp_2
#include <boost/math/tools/detail/polynomial_horner2_20.hpp>
#undef evaluate_polynomial_c_imp
#undef BOOST_MATH_TOOLS_POLY_EVAL_20_HPP
#define evaluate_polynomial_c_imp evaluate_polynomial_c_imp_3
#include <boost/math/tools/detail/polynomial_horner3_20.hpp>
#undef evaluate_polynomial_c_imp
#undef BOOST_MATH_TOOLS_POLY_RAT_20_HPP
#define evaluate_rational_c_imp evaluate_rational_c_imp_1
#include <boost/math/tools/detail/rational_horner1_20.hpp>
#undef evaluate_rational_c_imp
#undef BOOST_MATH_TOOLS_POLY_RAT_20_HPP
#define evaluate_rational_c_imp evaluate_rational_c_imp_2
#include <boost/math/tools/detail/rational_horner2_20.hpp>
#undef evaluate_rational_c_imp
#undef BOOST_MATH_TOOLS_RAT_EVAL_20_HPP
#define evaluate_rational_c_imp evaluate_rational_c_imp_3
#include <boost/math/tools/detail/rational_horner3_20.hpp>
#undef evaluate_rational_c_imp
#undef BOOST_MATH_TOOLS_POLY_RAT_20_HPP
static const double num[21] = {
static_cast<double>(56906521.91347156388090791033559122686859L),
static_cast<double>(103794043.1163445451906271053616070238554L),
static_cast<double>(86363131.28813859145546927288977868422342L),
static_cast<double>(43338889.32467613834773723740590533316085L),
static_cast<double>(14605578.08768506808414169982791359218571L),
static_cast<double>(3481712.15498064590882071018964774556468L),
static_cast<double>(601859.6171681098786670226533699352302507L),
static_cast<double>(75999.29304014542649875303443598909137092L),
static_cast<double>(6955.999602515376140356310115515198987526L),
static_cast<double>(449.9445569063168119446858607650988409623L),
static_cast<double>(19.51992788247617482847860966235652136208L),
static_cast<double>(0.5098416655656676188125178644804694509993L),
static_cast<double>(0.006061842346248906525783753964555936883222L),
0.0
};
static const double denom[20] = {
static_cast<double>(0u),
static_cast<double>(39916800u),
static_cast<double>(120543840u),
static_cast<double>(150917976u),
static_cast<double>(105258076u),
static_cast<double>(45995730u),
static_cast<double>(13339535u),
static_cast<double>(2637558u),
static_cast<double>(357423u),
static_cast<double>(32670u),
static_cast<double>(1925u),
static_cast<double>(66u),
static_cast<double>(1u),
0.0
};
static const std::uint32_t denom_int[20] = {
static_cast<std::uint32_t>(0u),
static_cast<std::uint32_t>(39916800u),
static_cast<std::uint32_t>(120543840u),
static_cast<std::uint32_t>(150917976u),
static_cast<std::uint32_t>(105258076u),
static_cast<std::uint32_t>(45995730u),
static_cast<std::uint32_t>(13339535u),
static_cast<std::uint32_t>(2637558u),
static_cast<std::uint32_t>(357423u),
static_cast<std::uint32_t>(32670u),
static_cast<std::uint32_t>(1925u),
static_cast<std::uint32_t>(66u),
static_cast<std::uint32_t>(1u),
0
};
std::string make_order_string(int n)
{
std::string result = boost::lexical_cast<std::string>(n);
if (result.size() < 2)
result.insert(result.begin(), ' ');
return result;
}
void test_poly_1(const std::integral_constant<int, 1>&)
{
}
template <int N>
void test_poly_1(const std::integral_constant<int, N>&)
{
test_poly_1(std::integral_constant<int, N - 1>());
double time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_polynomial_c_imp_1(denom, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Double Coefficients)");
time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_polynomial_c_imp_1(denom_int, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Integer Coefficients)");
}
void test_poly_2(const std::integral_constant<int, 1>&)
{
}
template <int N>
void test_poly_2(const std::integral_constant<int, N>&)
{
test_poly_2(std::integral_constant<int, N - 1>());
double time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_polynomial_c_imp_2(denom, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Double Coefficients)");
time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_polynomial_c_imp_2(denom_int, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Integer Coefficients)");
}
void test_poly_3(const std::integral_constant<int, 1>&)
{
}
template <int N>
void test_poly_3(const std::integral_constant<int, N>&)
{
test_poly_3(std::integral_constant<int, N - 1>());
double time = exec_timed_test([](const std::vector<double>& v) { double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_polynomial_c_imp_3(denom, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Double Coefficients)");
time = exec_timed_test([](const std::vector<double>& v) { double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_polynomial_c_imp_3(denom_int, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Integer Coefficients)");
}
template <class T, class U>
U evaluate_polynomial_0(const T* poly, U const& z, std::size_t count)
{
U sum = static_cast<U>(poly[count - 1]);
for (int i = static_cast<int>(count) - 2; i >= 0; --i)
{
sum *= z;
sum += static_cast<U>(poly[i]);
}
return sum;
}
void test_rat_1(const std::integral_constant<int, 1>&)
{
}
template <int N>
void test_rat_1(const std::integral_constant<int, N>&)
{
test_rat_1(std::integral_constant<int, N - 1>());
double time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_rational_c_imp_1(num, denom, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Double Coefficients)");
time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_rational_c_imp_1(num, denom_int, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Integer Coefficients)");
}
void test_rat_2(const std::integral_constant<int, 1>&)
{
}
template <int N>
void test_rat_2(const std::integral_constant<int, N>&)
{
test_rat_2(std::integral_constant<int, N - 1>());
double time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_rational_c_imp_2(num, denom, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Double Coefficients)");
time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_rational_c_imp_2(num, denom_int, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Integer Coefficients)");
}
void test_rat_3(const std::integral_constant<int, 1>&)
{
}
template <int N>
void test_rat_3(const std::integral_constant<int, N>&)
{
test_rat_3(std::integral_constant<int, N - 1>());
double time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_rational_c_imp_3(num, denom, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Double Coefficients)");
time = exec_timed_test([](const std::vector<double>& v)
{
double result = 0;
for (unsigned i = 0; i < 10; ++i)
result += boost::math::tools::detail::evaluate_rational_c_imp_3(num, denom_int, v[0] + i, static_cast<std::integral_constant<int, N>*>(0));
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Integer Coefficients)");
}
template <class T, class U, class V>
V evaluate_rational_0(const T* num, const U* denom, const V& z_, std::size_t count)
{
V z(z_);
V s1, s2;
if (z <= 1)
{
s1 = static_cast<V>(num[count - 1]);
s2 = static_cast<V>(denom[count - 1]);
for (int i = (int)count - 2; i >= 0; --i)
{
s1 *= z;
s2 *= z;
s1 += num[i];
s2 += denom[i];
}
}
else
{
z = 1 / z;
s1 = static_cast<V>(num[0]);
s2 = static_cast<V>(denom[0]);
for (unsigned i = 1; i < count; ++i)
{
s1 *= z;
s2 *= z;
s1 += num[i];
s2 += denom[i];
}
}
return s1 / s2;
}
int main()
{
double val = 0.001;
while (val < 1)
{
std::vector<double> v;
v.push_back(val);
data.push_back(v);
val *= 1.1;
}
for (unsigned i = 3; i <= 20; ++i)
{
double time = exec_timed_test([&](const std::vector<double>& v) {
double result = 0;
for (unsigned j = 0; j < 10; ++j)
result += evaluate_polynomial_0(denom, v[0] + j, i);
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Double Coefficients)");
time = exec_timed_test([&](const std::vector<double>& v) {
double result = 0;
for (unsigned j = 0; j < 10; ++j)
result += evaluate_polynomial_0(denom_int, v[0] + j, i);
return result;
});
report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Integer Coefficients)");
}
test_poly_1(std::integral_constant<int, 20>());
test_poly_2(std::integral_constant<int, 20>());
test_poly_3(std::integral_constant<int, 20>());
for (unsigned i = 3; i <= 20; ++i)
{
double time = exec_timed_test([&](const std::vector<double>& v) {
double result = 0;
for (unsigned j = 0; j < 10; ++j)
result += evaluate_rational_0(num, denom, v[0] + j, i);
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Double Coefficients)");
time = exec_timed_test([&](const std::vector<double>& v) {
double result = 0;
for (unsigned j = 0; j < 10; ++j)
result += evaluate_rational_0(num, denom_int, v[0] + j, i);
return result;
});
report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Integer Coefficients)");
}
test_rat_1(std::integral_constant<int, 20>());
test_rat_2(std::integral_constant<int, 20>());
test_rat_3(std::integral_constant<int, 20>());
return 0;
}
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