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FPBench_methods.hpp
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#pragma once
#include "helper_functions.hpp"
// FPBench rigidBody2
template <class T>
inline T rigidBody2(const std::vector<T> &value_array)
{
return ((((((2.0 * value_array[0]) * value_array[1]) * value_array[2]) + ((3.0 * value_array[2]) * value_array[2])) - (((value_array[1] * value_array[0]) * value_array[1]) * value_array[2])) + ((3.0 * value_array[2]) * value_array[2])) - value_array[1];
}
std::string print_rigidBody2(const std::vector<gmp::Rational> &v)
{
return std::string() + "(((((((2) * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[1]) + ")" + ") * " + "(" + rational_to_string(v[2]) + ")" + ") + (((3) * " + "(" + rational_to_string(v[2]) + ")" + ") * " + "(" + rational_to_string(v[2]) + ")" + ")) - (((" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[1]) + ")" + ") * " + "(" + rational_to_string(v[2]) + ")" + ")) + (((3) * " + "(" + rational_to_string(v[2]) + ")" + ") * " + "(" + rational_to_string(v[2]) + ")" + ")) - " + "(" + rational_to_string(v[1]) + ")";
}
bool check_input_rigidBody2(const std::vector<double> &v)
{
if (-15.0 > v[0])
return false;
if (v[0] > 15.0)
return false;
if (-15.0 > v[1])
return false;
if (v[1] > 15.0)
return false;
if (-15.0 > v[2])
return false;
if (v[2] > 15.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> rigidBody2_range = {std::uniform_real_distribution<double>(-15.0, 15.0), std::uniform_real_distribution<double>(-15.0, 15.0), std::uniform_real_distribution<double>(-15.0, 15.0)};
const int rigidBody2_variable_count = 3;
// FPBench triangle11
template <class T>
inline T triangle11(const std::vector<T> &value_array)
{
return sqrt((((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[0])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[1])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[2]));
}
std::string print_triangle11(const std::vector<gmp::Rational> &v)
{
return std::string() + "sqrt((((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[0]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[1]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[2]) + ")" + "))";
}
bool check_input_triangle11(const std::vector<double> &v)
{
if (1.0 > v[0])
return false;
if (v[0] > 9.0)
return false;
if (1.0 > v[1])
return false;
if (v[1] > 9.0)
return false;
if (1.0 > v[2])
return false;
if (v[2] > 9.0)
return false;
if ((v[0] + v[1]) <= (v[2] + 1.0/100000000000))
return false;
if ((v[0] + v[2]) <= (v[1] + 1.0/100000000000))
return false;
if ((v[1] + v[2]) <= (v[0] + 1.0/100000000000))
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> triangle11_range = {std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0)};
const int triangle11_variable_count = 3;
// FPBench sine
template <class T>
inline T sine(const std::vector<T> &value_array)
{
return ((value_array[0] - (((value_array[0] * value_array[0]) * value_array[0]) / 6.0)) + (((((value_array[0] * value_array[0]) * value_array[0]) * value_array[0]) * value_array[0]) / 120.0)) - (((((((value_array[0] * value_array[0]) * value_array[0]) * value_array[0]) * value_array[0]) * value_array[0]) * value_array[0]) / 5040.0);
}
std::string print_sine(const std::vector<gmp::Rational> &v)
{
return std::string() + "((" + "(" + rational_to_string(v[0]) + ")" + " - (((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") / (6))) + (((((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") / (120))) - (((((((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") / (5040))";
}
bool check_input_sine(const std::vector<double> &v)
{
if (-1.57079632679 >= v[0])
return false;
if (v[0] >= 1.57079632679)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> sine_range = {std::uniform_real_distribution<double>(-1.57079632679, 1.57079632679)};
const int sine_variable_count = 1;
// FPBench sum
template <class T>
inline T sum(const std::vector<T> &value_array)
{
return (((value_array[0] + value_array[1]) - value_array[2]) + ((value_array[1] + value_array[2]) - value_array[0])) + ((value_array[2] + value_array[0]) - value_array[1]);
}
std::string print_sum(const std::vector<gmp::Rational> &v)
{
return std::string() + "(((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") - " + "(" + rational_to_string(v[2]) + ")" + ") + ((" + "(" + rational_to_string(v[1]) + ")" + " + " + "(" + rational_to_string(v[2]) + ")" + ") - " + "(" + rational_to_string(v[0]) + ")" + ")) + ((" + "(" + rational_to_string(v[2]) + ")" + " + " + "(" + rational_to_string(v[0]) + ")" + ") - " + "(" + rational_to_string(v[1]) + ")" + ")";
}
bool check_input_sum(const std::vector<double> &v)
{
if (1.0 > v[0])
return false;
if (v[0] > 2.0)
return false;
if (1.0 > v[1])
return false;
if (v[1] > 2.0)
return false;
if (1.0 > v[2])
return false;
if (v[2] > 2.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> sum_range = {std::uniform_real_distribution<double>(1.0, 2.0), std::uniform_real_distribution<double>(1.0, 2.0), std::uniform_real_distribution<double>(1.0, 2.0)};
const int sum_variable_count = 3;
// FPBench test05_nonlin1, r4
template <class T>
inline T test05_nonlin1_r4(const std::vector<T> &value_array)
{
return (value_array[0] - 1.0) / ((value_array[0] * value_array[0]) - 1.0);
}
std::string print_test05_nonlin1_r4(const std::vector<gmp::Rational> &v)
{
return std::string() + "(" + "(" + rational_to_string(v[0]) + ")" + " - (1)) / ((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ") - (1))";
}
bool check_input_test05_nonlin1_r4(const std::vector<double> &v)
{
if (1.00001 >= v[0])
return false;
if (v[0] >= 2.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> test05_nonlin1_r4_range = {std::uniform_real_distribution<double>(1.00001, 2.0)};
const int test05_nonlin1_r4_variable_count = 1;
// FPBench hartman3
template <class T>
inline T hartman3(const std::vector<T> &value_array)
{
return -((((1.0 * (exp(-(((3.0 * ((value_array[0] - 0.3689) * (value_array[0] - 0.3689))) + (10.0 * ((value_array[1] - 0.117) * (value_array[1] - 0.117)))) + (30.0 * ((value_array[2] - 0.2673) * (value_array[2] - 0.2673))))))) + (1.2 * (exp(-(((0.1 * ((value_array[0] - 0.4699) * (value_array[0] - 0.4699))) + (10.0 * ((value_array[1] - 0.4387) * (value_array[1] - 0.4387)))) + (35.0 * ((value_array[2] - 0.747) * (value_array[2] - 0.747)))))))) + (3.0 * (exp(-(((3.0 * ((value_array[0] - 0.1091) * (value_array[0] - 0.1091))) + (10.0 * ((value_array[1] - 0.8732) * (value_array[1] - 0.8732)))) + (30.0 * ((value_array[2] - 0.5547) * (value_array[2] - 0.5547)))))))) + (3.2 * (exp(-(((0.1 * ((value_array[0] - 0.03815) * (value_array[0] - 0.03815))) + (10.0 * ((value_array[1] - 0.5743) * (value_array[1] - 0.5743)))) + (35.0 * ((value_array[2] - 0.8828) * (value_array[2] - 0.8828))))))));
}
std::string print_hartman3(const std::vector<gmp::Rational> &v)
{
return std::string() + "-(((((1) * (exp(-((((3) * ((" + "(" + rational_to_string(v[0]) + ")" + " - (3689/10000)) * (" + "(" + rational_to_string(v[0]) + ")" + " - (3689/10000)))) + ((10) * ((" + "(" + rational_to_string(v[1]) + ")" + " - (117/1000)) * (" + "(" + rational_to_string(v[1]) + ")" + " - (117/1000))))) + ((30) * ((" + "(" + rational_to_string(v[2]) + ")" + " - (2673/10000)) * (" + "(" + rational_to_string(v[2]) + ")" + " - (2673/10000)))))))) + ((6/5) * (exp(-((((1/10) * ((" + "(" + rational_to_string(v[0]) + ")" + " - (4699/10000)) * (" + "(" + rational_to_string(v[0]) + ")" + " - (4699/10000)))) + ((10) * ((" + "(" + rational_to_string(v[1]) + ")" + " - (4387/10000)) * (" + "(" + rational_to_string(v[1]) + ")" + " - (4387/10000))))) + ((35) * ((" + "(" + rational_to_string(v[2]) + ")" + " - (747/1000)) * (" + "(" + rational_to_string(v[2]) + ")" + " - (747/1000))))))))) + ((3) * (exp(-((((3) * ((" + "(" + rational_to_string(v[0]) + ")" + " - (1091/10000)) * (" + "(" + rational_to_string(v[0]) + ")" + " - (1091/10000)))) + ((10) * ((" + "(" + rational_to_string(v[1]) + ")" + " - (2183/2500)) * (" + "(" + rational_to_string(v[1]) + ")" + " - (2183/2500))))) + ((30) * ((" + "(" + rational_to_string(v[2]) + ")" + " - (5547/10000)) * (" + "(" + rational_to_string(v[2]) + ")" + " - (5547/10000))))))))) + ((16/5) * (exp(-((((1/10) * ((" + "(" + rational_to_string(v[0]) + ")" + " - (763/20000)) * (" + "(" + rational_to_string(v[0]) + ")" + " - (763/20000)))) + ((10) * ((" + "(" + rational_to_string(v[1]) + ")" + " - (5743/10000)) * (" + "(" + rational_to_string(v[1]) + ")" + " - (5743/10000))))) + ((35) * ((" + "(" + rational_to_string(v[2]) + ")" + " - (2207/2500)) * (" + "(" + rational_to_string(v[2]) + ")" + " - (2207/2500)))))))))";
}
bool check_input_hartman3(const std::vector<double> &v)
{
if (0.0 > v[0])
return false;
if (v[0] > 1.0)
return false;
if (0.0 > v[1])
return false;
if (v[1] > 1.0)
return false;
if (0.0 > v[2])
return false;
if (v[2] > 1.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> hartman3_range = {std::uniform_real_distribution<double>(0.0, 1.0), std::uniform_real_distribution<double>(0.0, 1.0), std::uniform_real_distribution<double>(0.0, 1.0)};
const int hartman3_variable_count = 3;
// FPBench NMSE example 3.5
template <class T>
inline T NMSE_example_3_5(const std::vector<T> &value_array)
{
return atan(value_array[0] + 1.0) - atan(value_array[0]);
}
std::string print_NMSE_example_3_5(const std::vector<gmp::Rational> &v)
{
return std::string() + "atan(" + "(" + rational_to_string(v[0]) + ")" + " + (1)) - atan(" + "(" + rational_to_string(v[0]) + ")" + ")";
}
bool check_input_NMSE_example_3_5(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_example_3_5_range = {std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX)};
const int NMSE_example_3_5_variable_count = 1;
// FPBench Shoelace formula
template <class T>
inline T Shoelace_formula(const std::vector<T> &value_array)
{
return 0.5 * ((((value_array[0] * value_array[3]) - (value_array[1] * value_array[2])) + ((value_array[2] * value_array[5]) - (value_array[3] * value_array[4]))) + ((value_array[4] * value_array[1]) - (value_array[5] * value_array[0])));
}
std::string print_Shoelace_formula(const std::vector<gmp::Rational> &v)
{
return std::string() + "(1/2) * ((((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[3]) + ")" + ") - (" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + ")) + ((" + "(" + rational_to_string(v[2]) + ")" + " * " + "(" + rational_to_string(v[5]) + ")" + ") - (" + "(" + rational_to_string(v[3]) + ")" + " * " + "(" + rational_to_string(v[4]) + ")" + "))) + ((" + "(" + rational_to_string(v[4]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") - (" + "(" + rational_to_string(v[5]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ")))";
}
bool check_input_Shoelace_formula(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> Shoelace_formula_range = {std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX)};
const int Shoelace_formula_variable_count = 6;
// FPBench NMSE example 3.10
template <class T>
inline T NMSE_example_3_10(const std::vector<T> &value_array)
{
return log(1.0 - value_array[0]) / log(1.0 + value_array[0]);
}
std::string print_NMSE_example_3_10(const std::vector<gmp::Rational> &v)
{
return std::string() + "log((1) - " + "(" + rational_to_string(v[0]) + ")" + ") / log((1) + " + "(" + rational_to_string(v[0]) + ")" + ")";
}
bool check_input_NMSE_example_3_10(const std::vector<double> &v)
{
if (-1.0 >= v[0])
return false;
if (v[0] >= 1.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_example_3_10_range = {std::uniform_real_distribution<double>(-1.0, 1.0)};
const int NMSE_example_3_10_variable_count = 1;
// FPBench x_by_xy
template <class T>
inline T x_by_xy(const std::vector<T> &value_array)
{
return value_array[0] / (value_array[0] + value_array[1]);
}
std::string print_x_by_xy(const std::vector<gmp::Rational> &v)
{
return std::string() + "" + "(" + rational_to_string(v[0]) + ")" + " / (" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ")";
}
bool check_input_x_by_xy(const std::vector<double> &v)
{
if (1.0 > v[0])
return false;
if (v[0] > 4.0)
return false;
if (1.0 > v[1])
return false;
if (v[1] > 4.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> x_by_xy_range = {std::uniform_real_distribution<double>(1.0, 4.0), std::uniform_real_distribution<double>(1.0, 4.0)};
const int x_by_xy_variable_count = 2;
// FPBench NMSE section 3.11
template <class T>
inline T NMSE_section_3_11(const std::vector<T> &value_array)
{
return exp(value_array[0]) / (exp(value_array[0]) - 1.0);
}
std::string print_NMSE_section_3_11(const std::vector<gmp::Rational> &v)
{
return std::string() + "exp(" + "(" + rational_to_string(v[0]) + ")" + ") / (exp(" + "(" + rational_to_string(v[0]) + ")" + ") - (1))";
}
bool check_input_NMSE_section_3_11(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_section_3_11_range = {std::uniform_real_distribution<double>(-700, 700)};
const int NMSE_section_3_11_variable_count = 1;
// FPBench NMSE problem 3.3.1
template <class T>
inline T NMSE_problem_3_3_1(const std::vector<T> &value_array)
{
return (1.0 / (value_array[0] + 1.0)) - (1.0 / value_array[0]);
}
std::string print_NMSE_problem_3_3_1(const std::vector<gmp::Rational> &v)
{
return std::string() + "((1) / (" + "(" + rational_to_string(v[0]) + ")" + " + (1))) - ((1) / " + "(" + rational_to_string(v[0]) + ")" + ")";
}
bool check_input_NMSE_problem_3_3_1(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_problem_3_3_1_range = {std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX)};
const int NMSE_problem_3_3_1_variable_count = 1;
// FPBench floudas2
template <class T>
inline T floudas2(const std::vector<T> &value_array)
{
return -value_array[0] - value_array[1];
}
std::string print_floudas2(const std::vector<gmp::Rational> &v)
{
return std::string() + "-" + "(" + rational_to_string(v[0]) + ")" + " - " + "(" + rational_to_string(v[1]) + ")";
}
bool check_input_floudas2(const std::vector<double> &v)
{
if (0.0 > v[0])
return false;
if (v[0] > 3.0)
return false;
if (0.0 > v[1])
return false;
if (v[1] > 4.0)
return false;
if (((((2 * ((v[0] * v[0]) * (v[0] * v[0]))) - ((8 * (v[0] * v[0])) * v[0])) + ((8 * v[0]) * v[0])) - v[1]) < 0)
return false;
if (((((((4 * ((v[0] * v[0]) * (v[0] * v[0]))) - ((32 * (v[0] * v[0])) * v[0])) + ((88 * v[0]) * v[0])) - (96 * v[0])) + 36) - v[1]) < 0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> floudas2_range = {std::uniform_real_distribution<double>(0.0, 3.0), std::uniform_real_distribution<double>(0.0, 4.0)};
const int floudas2_variable_count = 2;
// FPBench test03_nonlin2
template <class T>
inline T test03_nonlin2(const std::vector<T> &value_array)
{
return (value_array[0] + value_array[1]) / (value_array[0] - value_array[1]);
}
std::string print_test03_nonlin2(const std::vector<gmp::Rational> &v)
{
return std::string() + "(" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") / (" + "(" + rational_to_string(v[0]) + ")" + " - " + "(" + rational_to_string(v[1]) + ")" + ")";
}
bool check_input_test03_nonlin2(const std::vector<double> &v)
{
if (0.0 >= v[0])
return false;
if (v[0] >= 1.0)
return false;
if (-1.0 >= v[1])
return false;
if (v[1] >= -0.1)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> test03_nonlin2_range = {std::uniform_real_distribution<double>(0.0, 1.0), std::uniform_real_distribution<double>(-1.0, -0.1)};
const int test03_nonlin2_variable_count = 2;
// FPBench nonlin2
template <class T>
inline T nonlin2(const std::vector<T> &value_array)
{
return ((value_array[0] * value_array[1]) - 1.0) / (((value_array[0] * value_array[1]) * (value_array[0] * value_array[1])) - 1.0);
}
std::string print_nonlin2(const std::vector<gmp::Rational> &v)
{
return std::string() + "((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") - (1)) / (((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") * (" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ")) - (1))";
}
bool check_input_nonlin2(const std::vector<double> &v)
{
if (1.001 > v[0])
return false;
if (v[0] > 2.0)
return false;
if (1.001 > v[1])
return false;
if (v[1] > 2.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> nonlin2_range = {std::uniform_real_distribution<double>(1.001, 2.0), std::uniform_real_distribution<double>(1.001, 2.0)};
const int nonlin2_variable_count = 2;
// FPBench Complex sine and cosine
template <class T>
inline T Complex_sine_and_cosine(const std::vector<T> &value_array)
{
return (0.5 * sin(value_array[0])) * (exp(-value_array[1]) - exp(value_array[1]));
}
std::string print_Complex_sine_and_cosine(const std::vector<gmp::Rational> &v)
{
return std::string() + "((1/2) * sin(" + "(" + rational_to_string(v[0]) + ")" + ")) * (exp(-" + "(" + rational_to_string(v[1]) + ")" + ") - exp(" + "(" + rational_to_string(v[1]) + ")" + "))";
}
bool check_input_Complex_sine_and_cosine(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> Complex_sine_and_cosine_range = {std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-700, 700)};
const int Complex_sine_and_cosine_variable_count = 2;
// FPBench floudas
template <class T>
inline T floudas(const std::vector<T> &value_array)
{
return value_array[0] + value_array[1];
}
std::string print_floudas(const std::vector<gmp::Rational> &v)
{
return std::string() + "" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")";
}
bool check_input_floudas(const std::vector<double> &v)
{
if (0.0 > v[0])
return false;
if (v[0] > 2.0)
return false;
if (0.0 > v[1])
return false;
if (v[1] > 3.0)
return false;
if ((v[0] + v[1]) > 2)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> floudas_range = {std::uniform_real_distribution<double>(0.0, 2.0), std::uniform_real_distribution<double>(0.0, 3.0)};
const int floudas_variable_count = 2;
// FPBench NMSE problem 3.4.2
template <class T>
inline T NMSE_problem_3_4_2(const std::vector<T> &value_array)
{
return (value_array[2] * (exp((value_array[0] + value_array[1]) * value_array[2]) - 1.0)) / ((exp(value_array[0] * value_array[2]) - 1.0) * (exp(value_array[1] * value_array[2]) - 1.0));
}
std::string print_NMSE_problem_3_4_2(const std::vector<gmp::Rational> &v)
{
return std::string() + "(" + "(" + rational_to_string(v[2]) + ")" + " * (exp((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") * " + "(" + rational_to_string(v[2]) + ")" + ") - (1))) / ((exp(" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + ") - (1)) * (exp(" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + ") - (1)))";
}
bool check_input_NMSE_problem_3_4_2(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_problem_3_4_2_range = {std::uniform_real_distribution<double>(-12.5, 12.5), std::uniform_real_distribution<double>(-12.5, 12.5), std::uniform_real_distribution<double>(-25, 25)};
const int NMSE_problem_3_4_2_variable_count = 3;
// FPBench NMSE example 3.8
template <class T>
inline T NMSE_example_3_8(const std::vector<T> &value_array)
{
return (((value_array[0] + 1.0) * log(value_array[0] + 1.0)) - (value_array[0] * log(value_array[0]))) - 1.0;
}
std::string print_NMSE_example_3_8(const std::vector<gmp::Rational> &v)
{
return std::string() + "(((" + "(" + rational_to_string(v[0]) + ")" + " + (1)) * log(" + "(" + rational_to_string(v[0]) + ")" + " + (1))) - (" + "(" + rational_to_string(v[0]) + ")" + " * log(" + "(" + rational_to_string(v[0]) + ")" + "))) - (1)";
}
bool check_input_NMSE_example_3_8(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_example_3_8_range = {std::uniform_real_distribution<double>(0, RAND_MAX)};
const int NMSE_example_3_8_variable_count = 1;
// FPBench polarToCarthesian, x
template <class T>
inline T polarToCarthesian_x(const std::vector<T> &value_array)
{
return value_array[0] * cos((value_array[1] * ((3.14159265359) / 180.0)));
}
std::string print_polarToCarthesian_x(const std::vector<gmp::Rational> &v)
{
return std::string() + "" + "(" + rational_to_string(v[0]) + ")" + " * cos((" + "(" + rational_to_string(v[1]) + ")" + " * (((314159265359/100000000000)) / (180))))";
}
bool check_input_polarToCarthesian_x(const std::vector<double> &v)
{
if (1.0 > v[0])
return false;
if (v[0] > 10.0)
return false;
if (0.0 > v[1])
return false;
if (v[1] > 360.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> polarToCarthesian_x_range = {std::uniform_real_distribution<double>(1.0, 10.0), std::uniform_real_distribution<double>(0.0, 360.0)};
const int polarToCarthesian_x_variable_count = 2;
// FPBench turbine1
template <class T>
inline T turbine1(const std::vector<T> &value_array)
{
return ((3.0 + (2.0 / (value_array[2] * value_array[2]))) - (((0.125 * (3.0 - (2.0 * value_array[0]))) * (((value_array[1] * value_array[1]) * value_array[2]) * value_array[2])) / (1.0 - value_array[0]))) - 4.5;
}
std::string print_turbine1(const std::vector<gmp::Rational> &v)
{
return std::string() + "(((3) + ((2) / (" + "(" + rational_to_string(v[2]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + "))) - ((((1/8) * ((3) - ((2) * " + "(" + rational_to_string(v[0]) + ")" + "))) * (((" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") * " + "(" + rational_to_string(v[2]) + ")" + ") * " + "(" + rational_to_string(v[2]) + ")" + ")) / ((1) - " + "(" + rational_to_string(v[0]) + ")" + "))) - (9/2)";
}
bool check_input_turbine1(const std::vector<double> &v)
{
if (-4.5 > v[0])
return false;
if (v[0] > -0.3)
return false;
if (0.4 > v[1])
return false;
if (v[1] > 0.9)
return false;
if (3.8 > v[2])
return false;
if (v[2] > 7.8)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> turbine1_range = {std::uniform_real_distribution<double>(-4.5, -0.3), std::uniform_real_distribution<double>(0.4, 0.9), std::uniform_real_distribution<double>(3.8, 7.8)};
const int turbine1_variable_count = 3;
// FPBench triangle9
template <class T>
inline T triangle9(const std::vector<T> &value_array)
{
return sqrt((((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[0])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[1])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[2]));
}
std::string print_triangle9(const std::vector<gmp::Rational> &v)
{
return std::string() + "sqrt((((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[0]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[1]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[2]) + ")" + "))";
}
bool check_input_triangle9(const std::vector<double> &v)
{
if (1.0 > v[0])
return false;
if (v[0] > 9.0)
return false;
if (1.0 > v[1])
return false;
if (v[1] > 9.0)
return false;
if (1.0 > v[2])
return false;
if (v[2] > 9.0)
return false;
if ((v[0] + v[1]) <= (v[2] + 1.0/1000000000))
return false;
if ((v[0] + v[2]) <= (v[1] + 1.0/1000000000))
return false;
if ((v[1] + v[2]) <= (v[0] + 1.0/1000000000))
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> triangle9_range = {std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0)};
const int triangle9_variable_count = 3;
// FPBench sineOrder3
template <class T>
inline T sineOrder3(const std::vector<T> &value_array)
{
return (0.954929658551372 * value_array[0]) - (0.12900613773279798 * ((value_array[0] * value_array[0]) * value_array[0]));
}
std::string print_sineOrder3(const std::vector<gmp::Rational> &v)
{
return std::string() + "((238732414637843/250000000000000) * " + "(" + rational_to_string(v[0]) + ")" + ") - ((6450306886639899/50000000000000000) * ((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + "))";
}
bool check_input_sineOrder3(const std::vector<double> &v)
{
if (-2.0 >= v[0])
return false;
if (v[0] >= 2.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> sineOrder3_range = {std::uniform_real_distribution<double>(-2.0, 2.0)};
const int sineOrder3_variable_count = 1;
// FPBench doppler3
template <class T>
inline T doppler3(const std::vector<T> &value_array)
{
return (-(331.4 + (0.6 * value_array[2])) * value_array[1]) / (((331.4 + (0.6 * value_array[2])) + value_array[0]) * ((331.4 + (0.6 * value_array[2])) + value_array[0]));
}
std::string print_doppler3(const std::vector<gmp::Rational> &v)
{
return std::string() + "(-((1657/5) + ((3/5) * " + "(" + rational_to_string(v[2]) + ")" + ")) * " + "(" + rational_to_string(v[1]) + ")" + ") / ((((1657/5) + ((3/5) * " + "(" + rational_to_string(v[2]) + ")" + ")) + " + "(" + rational_to_string(v[0]) + ")" + ") * (((1657/5) + ((3/5) * " + "(" + rational_to_string(v[2]) + ")" + ")) + " + "(" + rational_to_string(v[0]) + ")" + "))";
}
bool check_input_doppler3(const std::vector<double> &v)
{
if (-30.0 > v[0])
return false;
if (v[0] > 120.0)
return false;
if (320.0 > v[1])
return false;
if (v[1] > 20300.0)
return false;
if (-50.0 > v[2])
return false;
if (v[2] > 30.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> doppler3_range = {std::uniform_real_distribution<double>(-30.0, 120.0), std::uniform_real_distribution<double>(320.0, 20300.0), std::uniform_real_distribution<double>(-50.0, 30.0)};
const int doppler3_variable_count = 3;
// FPBench triangle1
template <class T>
inline T triangle1(const std::vector<T> &value_array)
{
return sqrt((((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[0])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[1])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[2]));
}
std::string print_triangle1(const std::vector<gmp::Rational> &v)
{
return std::string() + "sqrt((((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[0]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[1]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[2]) + ")" + "))";
}
bool check_input_triangle1(const std::vector<double> &v)
{
if (1.0 > v[0])
return false;
if (v[0] > 9.0)
return false;
if (1.0 > v[1])
return false;
if (v[1] > 9.0)
return false;
if (1.0 > v[2])
return false;
if (v[2] > 9.0)
return false;
if ((v[0] + v[1]) <= (v[2] + 1.0/10))
return false;
if ((v[0] + v[2]) <= (v[1] + 1.0/10))
return false;
if ((v[1] + v[2]) <= (v[0] + 1.0/10))
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> triangle1_range = {std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0)};
const int triangle1_variable_count = 3;
// FPBench NMSE p42, negative
template <class T>
inline T NMSE_p42_negative(const std::vector<T> &value_array)
{
return (-value_array[1] - sqrt((value_array[1] * value_array[1]) - (4.0 * (value_array[0] * value_array[2])))) / (2.0 * value_array[0]);
}
std::string print_NMSE_p42_negative(const std::vector<gmp::Rational> &v)
{
return std::string() + "(-" + "(" + rational_to_string(v[1]) + ")" + " - sqrt((" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") - ((4) * (" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + ")))) / ((2) * " + "(" + rational_to_string(v[0]) + ")" + ")";
}
bool check_input_NMSE_p42_negative(const std::vector<double> &v)
{
if ((v[1] * v[1]) < (4 * (v[0] * v[2])))
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_p42_negative_range = {std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX)};
const int NMSE_p42_negative_variable_count = 3;
// FPBench matrixDeterminant2
template <class T>
inline T matrixDeterminant2(const std::vector<T> &value_array)
{
return ((value_array[0] * (value_array[4] * value_array[8])) + ((value_array[6] * (value_array[1] * value_array[5])) + (value_array[2] * (value_array[3] * value_array[7])))) - ((value_array[4] * (value_array[2] * value_array[6])) + ((value_array[8] * (value_array[1] * value_array[3])) + (value_array[0] * (value_array[5] * value_array[7]))));
}
std::string print_matrixDeterminant2(const std::vector<gmp::Rational> &v)
{
return std::string() + "((" + "(" + rational_to_string(v[0]) + ")" + " * (" + "(" + rational_to_string(v[4]) + ")" + " * " + "(" + rational_to_string(v[8]) + ")" + ")) + ((" + "(" + rational_to_string(v[6]) + ")" + " * (" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[5]) + ")" + ")) + (" + "(" + rational_to_string(v[2]) + ")" + " * (" + "(" + rational_to_string(v[3]) + ")" + " * " + "(" + rational_to_string(v[7]) + ")" + ")))) - ((" + "(" + rational_to_string(v[4]) + ")" + " * (" + "(" + rational_to_string(v[2]) + ")" + " * " + "(" + rational_to_string(v[6]) + ")" + ")) + ((" + "(" + rational_to_string(v[8]) + ")" + " * (" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[3]) + ")" + ")) + (" + "(" + rational_to_string(v[0]) + ")" + " * (" + "(" + rational_to_string(v[5]) + ")" + " * " + "(" + rational_to_string(v[7]) + ")" + "))))";
}
bool check_input_matrixDeterminant2(const std::vector<double> &v)
{
if (-10.0 > v[0])
return false;
if (v[0] > 10.0)
return false;
if (-10.0 > v[1])
return false;
if (v[1] > 10.0)
return false;
if (-10.0 > v[2])
return false;
if (v[2] > 10.0)
return false;
if (-10.0 > v[3])
return false;
if (v[3] > 10.0)
return false;
if (-10.0 > v[4])
return false;
if (v[4] > 10.0)
return false;
if (-10.0 > v[5])
return false;
if (v[5] > 10.0)
return false;
if (-10.0 > v[6])
return false;
if (v[6] > 10.0)
return false;
if (-10.0 > v[7])
return false;
if (v[7] > 10.0)
return false;
if (-10.0 > v[8])
return false;
if (v[8] > 10.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> matrixDeterminant2_range = {std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0), std::uniform_real_distribution<double>(-10.0, 10.0)};
const int matrixDeterminant2_variable_count = 9;
// FPBench delta
template <class T>
inline T delta(const std::vector<T> &value_array)
{
return (((((((value_array[0] * value_array[3]) * (((((-value_array[0] + value_array[1]) + value_array[2]) - value_array[3]) + value_array[4]) + value_array[5])) + ((value_array[1] * value_array[4]) * (((((value_array[0] - value_array[1]) + value_array[2]) + value_array[3]) - value_array[4]) + value_array[5]))) + ((value_array[2] * value_array[5]) * (((((value_array[0] + value_array[1]) - value_array[2]) + value_array[3]) + value_array[4]) - value_array[5]))) + ((-value_array[1] * value_array[2]) * value_array[3])) + ((-value_array[0] * value_array[2]) * value_array[4])) + ((-value_array[0] * value_array[1]) * value_array[5])) + ((-value_array[3] * value_array[4]) * value_array[5]);
}
std::string print_delta(const std::vector<gmp::Rational> &v)
{
return std::string() + "(((((((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[3]) + ")" + ") * (((((-" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") - " + "(" + rational_to_string(v[3]) + ")" + ") + " + "(" + rational_to_string(v[4]) + ")" + ") + " + "(" + rational_to_string(v[5]) + ")" + ")) + ((" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[4]) + ")" + ") * (((((" + "(" + rational_to_string(v[0]) + ")" + " - " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") + " + "(" + rational_to_string(v[3]) + ")" + ") - " + "(" + rational_to_string(v[4]) + ")" + ") + " + "(" + rational_to_string(v[5]) + ")" + "))) + ((" + "(" + rational_to_string(v[2]) + ")" + " * " + "(" + rational_to_string(v[5]) + ")" + ") * (((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") - " + "(" + rational_to_string(v[2]) + ")" + ") + " + "(" + rational_to_string(v[3]) + ")" + ") + " + "(" + rational_to_string(v[4]) + ")" + ") - " + "(" + rational_to_string(v[5]) + ")" + "))) + ((-" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + ") * " + "(" + rational_to_string(v[3]) + ")" + ")) + ((-" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + ") * " + "(" + rational_to_string(v[4]) + ")" + ")) + ((-" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") * " + "(" + rational_to_string(v[5]) + ")" + ")) + ((-" + "(" + rational_to_string(v[3]) + ")" + " * " + "(" + rational_to_string(v[4]) + ")" + ") * " + "(" + rational_to_string(v[5]) + ")" + ")";
}
bool check_input_delta(const std::vector<double> &v)
{
if (4.0 > v[0])
return false;
if (v[0] > 6.3504)
return false;
if (4.0 > v[1])
return false;
if (v[1] > 6.3504)
return false;
if (4.0 > v[2])
return false;
if (v[2] > 6.3504)
return false;
if (4.0 > v[3])
return false;
if (v[3] > 6.3504)
return false;
if (4.0 > v[4])
return false;
if (v[4] > 6.3504)
return false;
if (4.0 > v[5])
return false;
if (v[5] > 6.3504)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> delta_range = {std::uniform_real_distribution<double>(4.0, 6.3504), std::uniform_real_distribution<double>(4.0, 6.3504), std::uniform_real_distribution<double>(4.0, 6.3504), std::uniform_real_distribution<double>(4.0, 6.3504), std::uniform_real_distribution<double>(4.0, 6.3504), std::uniform_real_distribution<double>(4.0, 6.3504)};
const int delta_variable_count = 6;
// FPBench test06_sums4, sum1
template <class T>
inline T test06_sums4_sum1(const std::vector<T> &value_array)
{
return ((value_array[0] + value_array[1]) + value_array[2]) + value_array[3];
}
std::string print_test06_sums4_sum1(const std::vector<gmp::Rational> &v)
{
return std::string() + "((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") + " + "(" + rational_to_string(v[3]) + ")";
}
bool check_input_test06_sums4_sum1(const std::vector<double> &v)
{
if (-1e-05 >= v[0])
return false;
if (v[0] >= 1.00001)
return false;
if (0.0 >= v[1])
return false;
if (v[1] >= 1.0)
return false;
if (0.0 >= v[2])
return false;
if (v[2] >= 1.0)
return false;
if (0.0 >= v[3])
return false;
if (v[3] >= 1.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> test06_sums4_sum1_range = {std::uniform_real_distribution<double>(-1e-05, 1.00001), std::uniform_real_distribution<double>(0.0, 1.0), std::uniform_real_distribution<double>(0.0, 1.0), std::uniform_real_distribution<double>(0.0, 1.0)};
const int test06_sums4_sum1_variable_count = 4;
// FPBench sec4-example
template <class T>
inline T sec4_example(const std::vector<T> &value_array)
{
return ((value_array[0] * value_array[1]) - 1.0) / (((value_array[0] * value_array[1]) * (value_array[0] * value_array[1])) - 1.0);
}
std::string print_sec4_example(const std::vector<gmp::Rational> &v)
{
return std::string() + "((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") - (1)) / (((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ") * (" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[1]) + ")" + ")) - (1))";
}
bool check_input_sec4_example(const std::vector<double> &v)
{
if (1.001 > v[0])
return false;
if (v[0] > 2.0)
return false;
if (1.001 > v[1])
return false;
if (v[1] > 2.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> sec4_example_range = {std::uniform_real_distribution<double>(1.001, 2.0), std::uniform_real_distribution<double>(1.001, 2.0)};
const int sec4_example_variable_count = 2;
// FPBench logexp
template <class T>
inline T logexp(const std::vector<T> &value_array)
{
return log(1.0 + exp(value_array[0]));
}
std::string print_logexp(const std::vector<gmp::Rational> &v)
{
return std::string() + "log((1) + exp(" + "(" + rational_to_string(v[0]) + ")" + "))";
}
bool check_input_logexp(const std::vector<double> &v)
{
if (-8.0 > v[0])
return false;
if (v[0] > 8.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> logexp_range = {std::uniform_real_distribution<double>(-8.0, 8.0)};
const int logexp_variable_count = 1;
// FPBench NMSE problem 3.3.5
template <class T>
inline T NMSE_problem_3_3_5(const std::vector<T> &value_array)
{
return cos(value_array[0] + value_array[1]) - cos(value_array[0]);
}
std::string print_NMSE_problem_3_3_5(const std::vector<gmp::Rational> &v)
{
return std::string() + "cos(" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") - cos(" + "(" + rational_to_string(v[0]) + ")" + ")";
}
bool check_input_NMSE_problem_3_3_5(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_problem_3_3_5_range = {std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX)};
const int NMSE_problem_3_3_5_variable_count = 2;
// FPBench NMSE example 3.3
template <class T>
inline T NMSE_example_3_3(const std::vector<T> &value_array)
{
return sin(value_array[0] + value_array[1]) - sin(value_array[0]);
}
std::string print_NMSE_example_3_3(const std::vector<gmp::Rational> &v)
{
return std::string() + "sin(" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") - sin(" + "(" + rational_to_string(v[0]) + ")" + ")";
}
bool check_input_NMSE_example_3_3(const std::vector<double> &v)
{
return true;
}
const std::vector<std::uniform_real_distribution<double>> NMSE_example_3_3_range = {std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX), std::uniform_real_distribution<double>(-RAND_MAX + 1, RAND_MAX)};
const int NMSE_example_3_3_variable_count = 2;
// FPBench kepler0
template <class T>
inline T kepler0(const std::vector<T> &value_array)
{
return ((((value_array[1] * value_array[4]) + (value_array[2] * value_array[5])) - (value_array[1] * value_array[2])) - (value_array[4] * value_array[5])) + (value_array[0] * (((((-value_array[0] + value_array[1]) + value_array[2]) - value_array[3]) + value_array[4]) + value_array[5]));
}
std::string print_kepler0(const std::vector<gmp::Rational> &v)
{
return std::string() + "((((" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[4]) + ")" + ") + (" + "(" + rational_to_string(v[2]) + ")" + " * " + "(" + rational_to_string(v[5]) + ")" + ")) - (" + "(" + rational_to_string(v[1]) + ")" + " * " + "(" + rational_to_string(v[2]) + ")" + ")) - (" + "(" + rational_to_string(v[4]) + ")" + " * " + "(" + rational_to_string(v[5]) + ")" + ")) + (" + "(" + rational_to_string(v[0]) + ")" + " * (((((-" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") - " + "(" + rational_to_string(v[3]) + ")" + ") + " + "(" + rational_to_string(v[4]) + ")" + ") + " + "(" + rational_to_string(v[5]) + ")" + "))";
}
bool check_input_kepler0(const std::vector<double> &v)
{
if (4.0 > v[0])
return false;
if (v[0] > 6.36)
return false;
if (4.0 > v[1])
return false;
if (v[1] > 6.36)
return false;
if (4.0 > v[2])
return false;
if (v[2] > 6.36)
return false;
if (4.0 > v[3])
return false;
if (v[3] > 6.36)
return false;
if (4.0 > v[4])
return false;
if (v[4] > 6.36)
return false;
if (4.0 > v[5])
return false;
if (v[5] > 6.36)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> kepler0_range = {std::uniform_real_distribution<double>(4.0, 6.36), std::uniform_real_distribution<double>(4.0, 6.36), std::uniform_real_distribution<double>(4.0, 6.36), std::uniform_real_distribution<double>(4.0, 6.36), std::uniform_real_distribution<double>(4.0, 6.36), std::uniform_real_distribution<double>(4.0, 6.36)};
const int kepler0_variable_count = 6;
// FPBench triangle5
template <class T>
inline T triangle5(const std::vector<T> &value_array)
{
return sqrt((((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[0])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[1])) * ((((value_array[0] + value_array[1]) + value_array[2]) / 2.0) - value_array[2]));
}
std::string print_triangle5(const std::vector<gmp::Rational> &v)
{
return std::string() + "sqrt((((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[0]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[1]) + ")" + ")) * ((((" + "(" + rational_to_string(v[0]) + ")" + " + " + "(" + rational_to_string(v[1]) + ")" + ") + " + "(" + rational_to_string(v[2]) + ")" + ") / (2)) - " + "(" + rational_to_string(v[2]) + ")" + "))";
}
bool check_input_triangle5(const std::vector<double> &v)
{
if (1.0 > v[0])
return false;
if (v[0] > 9.0)
return false;
if (1.0 > v[1])
return false;
if (v[1] > 9.0)
return false;
if (1.0 > v[2])
return false;
if (v[2] > 9.0)
return false;
if ((v[0] + v[1]) <= (v[2] + 1.0/100000))
return false;
if ((v[0] + v[2]) <= (v[1] + 1.0/100000))
return false;
if ((v[1] + v[2]) <= (v[0] + 1.0/100000))
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> triangle5_range = {std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0), std::uniform_real_distribution<double>(1.0, 9.0)};
const int triangle5_variable_count = 3;
// FPBench bspline3
template <class T>
inline T bspline3(const std::vector<T> &value_array)
{
return -((value_array[0] * value_array[0]) * value_array[0]) / 6.0;
}
std::string print_bspline3(const std::vector<gmp::Rational> &v)
{
return std::string() + "-((" + "(" + rational_to_string(v[0]) + ")" + " * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") / (6)";
}
bool check_input_bspline3(const std::vector<double> &v)
{
if (0.0 > v[0])
return false;
if (v[0] > 1.0)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> bspline3_range = {std::uniform_real_distribution<double>(0.0, 1.0)};
const int bspline3_variable_count = 1;
// FPBench predatorPrey
template <class T>
inline T predatorPrey(const std::vector<T> &value_array)
{
return (((4.0) * value_array[0]) * value_array[0]) / (1.0 + ((value_array[0] / (1.11)) * (value_array[0] / (1.11))));
}
std::string print_predatorPrey(const std::vector<gmp::Rational> &v)
{
return std::string() + "((((4)) * " + "(" + rational_to_string(v[0]) + ")" + ") * " + "(" + rational_to_string(v[0]) + ")" + ") / ((1) + ((" + "(" + rational_to_string(v[0]) + ")" + " / ((111/100))) * (" + "(" + rational_to_string(v[0]) + ")" + " / ((111/100)))))";
}
bool check_input_predatorPrey(const std::vector<double> &v)
{
if (0.1 > v[0])
return false;
if (v[0] > 0.3)
return false;
return true;
}
const std::vector<std::uniform_real_distribution<double>> predatorPrey_range = {std::uniform_real_distribution<double>(0.1, 0.3)};
const int predatorPrey_variable_count = 1;
// FPBench turbine3
template <class T>
inline T turbine3(const std::vector<T> &value_array)
{
return ((3.0 - (2.0 / (value_array[2] * value_array[2]))) - (((0.125 * (1.0 + (2.0 * value_array[0]))) * (((value_array[1] * value_array[1]) * value_array[2]) * value_array[2])) / (1.0 - value_array[0]))) - 0.5;
}
std::string print_turbine3(const std::vector<gmp::Rational> &v)