forked from Expander/FlexibleSUSY
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test_threshold_loop_functions.cpp
850 lines (678 loc) · 32.8 KB
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test_threshold_loop_functions.cpp
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// ====================================================================
// This file is part of FlexibleSUSY.
//
// FlexibleSUSY is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published
// by the Free Software Foundation, either version 3 of the License,
// or (at your option) any later version.
//
// FlexibleSUSY is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with FlexibleSUSY. If not, see
// <http://www.gnu.org/licenses/>.
// ====================================================================
#define BOOST_TEST_DYN_LINK
#define BOOST_TEST_MODULE test_wrappers
#include <boost/test/unit_test.hpp>
#include "threshold_loop_functions.hpp"
#include "numerics.h"
using namespace flexiblesusy;
BOOST_AUTO_TEST_CASE( test_C0 )
{
using namespace flexiblesusy::threshold_loop_functions;
struct Values {
double m1, m2, m3;
};
Values value[] = {
{0, 0, 0},
{0, 0, 1},
{0, 1, 1},
{0, 1, 2},
{1, 1, 1},
{1, 1, 0},
{1, 2, 0},
{0, 1, 0},
{1, 0, 1},
{1, 0, 2},
{1, 2, 3}
};
for (int i = 0; i < sizeof(value)/sizeof(value[0]); i++) {
BOOST_MESSAGE("> m1 = " << value[i].m1
<< ", m2 = " << value[i].m2
<< ", m3 = " << value[i].m3);
BOOST_CHECK_CLOSE(c0(value[i].m1, value[i].m2, value[i].m3),
-Iabc(value[i].m1, value[i].m2, value[i].m3),
1e-10);
}
}
namespace {
template <typename T> T sqr(T x) { return x*x; }
template <typename T> T cube(T x) { return x*x*x; }
template <typename T> T quad(T x) { return x*x*x*x; }
template <typename T> T pow5(T x) { return x*x*x*x*x; }
template <typename T> T pow6(T x) { return x*x*x*x*x*x; }
template <typename T> T pow7(T x) { return x*x*x*x*x*x*x; }
template <typename T> T pow8(T x) { return x*x*x*x*x*x*x*x; }
template <typename T> T pow9(T x) { return x*x*x*x*x*x*x*x*x; }
template <typename T> T pow10(T x) { return x*x*x*x*x*x*x*x*x*x; }
}
double F1_bare(double x)
{
const double x2 = sqr(x);
return x*std::log(x2)/(x2-1);
}
double F2_bare(double x)
{
const double x2 = sqr(x);
return 6*x2*(2-2*x2+(1+x2)*std::log(x2))/cube(x2-1);
}
double F3_bare(double x)
{
const double x2 = sqr(x);
return 2*x*(5*(1-x2)+(1+4*x2)*std::log(x2))/(3*sqr(x2-1));
}
double F4_bare(double x)
{
const double x2 = sqr(x);
return 2*x*(x2-1-std::log(x2))/sqr(x2-1);
}
double F5_bare(double x)
{
const double x2 = sqr(x);
const double x4 = quad(x);
return 3*x*(1-x4+2*x2*std::log(x2))/cube(1-x2);
}
double F6_bare(double x)
{
const double x2 = sqr(x);
return (x2-3)/(4*(1-x2)) + x2*(x2-2)/(2*sqr(1.-x2))*std::log(x2);
}
double F7_bare(double x)
{
const double x2 = sqr(x);
const double x4 = quad(x);
return (-3*(x4-6*x2+1.))/(2*sqr(x2-1))
+ (3*x4*(x2-3.))/(cube(x2-1.))*std::log(x2);
}
double F8_bare(double x1, double x2)
{
const double x12 = sqr(x1);
const double x22 = sqr(x2);
return -2. + 2./(x12-x22)
*(quad(x1)/(x12-1.)*std::log(x12)
-quad(x2)/(x22-1.)*std::log(x22));
}
double F9_bare(double x1, double x2)
{
const double x12 = sqr(x1);
const double x22 = sqr(x2);
return 2./(x12-x22)*(x12/(x12-1.)*std::log(x12)-x22/(x22-1.)*std::log(x22));
}
double f1_bare(double r)
{
const double r2 = sqr(r);
return (6*(r2+3)*r2)/(7*sqr(r2-1))
+ (6*(r2-5)*quad(r)*std::log(r2))/(7*cube(r2-1));
}
double f2_bare(double r)
{
const double r2 = sqr(r);
return (2*(r2+11)*r2)/(9*sqr(r2-1))
+ (2*(5*r2-17)*quad(r)*std::log(r2))/(9*cube(r2-1));
}
double f3_bare(double r)
{
const double r2 = sqr(r);
const double r4 = quad(r);
return (2*(r4+9*r2+2))/(3*sqr(r2-1))
+ (2*(r4-7*r2-6)*r2*std::log(r2))/(3*cube(r2-1));
}
double f4_bare(double r)
{
const double r2 = sqr(r);
const double r4 = quad(r);
return (2*(5*r4+25*r2+6))/(7*sqr(r2-1))
+ (2*(r4-19*r2-18)*r2*std::log(r2))/(7*cube(r2-1));
}
double f5_bare(double r1, double r2)
{
const double r12 = sqr(r1);
const double r22 = sqr(r2);
const double result
= (1+sqr(r1+r2)-r12*r22)/((r12-1)*(r22-1))
+ (cube(r1)*(r12+1)*std::log(r12))/(sqr(r12-1)*(r1-r2))
- (cube(r2)*(r22+1)*std::log(r22))/((r1-r2)*sqr(r22-1));
return 0.75 * result;
}
double f6_bare(double r1, double r2)
{
const double r12 = sqr(r1);
const double r22 = sqr(r2);
const double result
= (r12+r22+r1*r2-r12*r22)/((r12-1)*(r22-1))
+ (pow5(r1)*std::log(r12))/(sqr(r12-1)*(r1-r2))
- (pow5(r2)*std::log(r22))/((r1-r2)*sqr(r22-1));
return 6./7. * result;
}
double f7_bare(double r1, double r2)
{
const double r12 = sqr(r1);
const double r22 = sqr(r2);
const double result
= (1+r1*r2)/((r12-1)*(r22-1))
+ (cube(r1)*std::log(r12))/(sqr(r12-1)*(r1-r2))
- (cube(r2)*std::log(r22))/((r1-r2)*sqr(r22-1));
return 6. * result;
}
double f8_bare(double r1, double r2)
{
const double r12 = sqr(r1);
const double r22 = sqr(r2);
const double result
= (r1+r2)/((r12-1)*(r22-1))
+ (quad(r1)*std::log(r12))/(sqr(r12-1)*(r1-r2))
- (quad(r2)*std::log(r22))/((r1-r2)*sqr(r22-1));
return 1.5 * result;
}
BOOST_AUTO_TEST_CASE(test_F1)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_CLOSE(F1(x), F1_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(F1(0)));
BOOST_CHECK(!std::isnan(F1(1)));
}
BOOST_AUTO_TEST_CASE(test_F2)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_CLOSE(F2(x), F2_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(F2(0)));
BOOST_CHECK(!std::isnan(F2(1)));
}
BOOST_AUTO_TEST_CASE(test_F3)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_CLOSE(F3(x), F3_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(F3(0)));
BOOST_CHECK(!std::isnan(F3(1)));
}
BOOST_AUTO_TEST_CASE(test_F4)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_CLOSE(F4(x), F4_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(F4(0)));
BOOST_CHECK(!std::isnan(F4(1)));
}
BOOST_AUTO_TEST_CASE(test_F5)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 5e-4);
x = 0.1; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_CLOSE(F5(x), F5_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(F5(0)));
BOOST_CHECK(!std::isnan(F5(1)));
}
BOOST_AUTO_TEST_CASE(test_F6)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_CLOSE(F6(x), F6_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(F6(0)));
BOOST_CHECK(!std::isnan(F6(1)));
}
BOOST_AUTO_TEST_CASE(test_F7)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_CLOSE(F7(x), F7_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(F7(0)));
BOOST_CHECK(!std::isnan(F7(1)));
}
BOOST_AUTO_TEST_CASE(test_F8)
{
using namespace flexiblesusy::threshold_loop_functions;
double x, y = 2.;
x = 1.1; BOOST_CHECK_CLOSE(F8(x,y), F8_bare(x,y), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F8(x,y), F8_bare(x,y), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F8(x,y), F8_bare(x,y), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F8(x,y), F8_bare(x,y), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F8(x,y), F8_bare(x,y), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(F8(y,x), F8_bare(y,x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F8(y,x), F8_bare(y,x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F8(y,x), F8_bare(y,x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F8(y,x), F8_bare(y,x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F8(y,x), F8_bare(y,x), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 2e-2);
x = 1.02; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 2e-2);
x = 1.01; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 2e-2);
x = 1.001; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 2e-2);
x = 1.0001; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 2e-2);
x = 2.1; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 1e-2);
x = 2.02; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 1e-2);
x = 2.01; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 1e-2);
x = 2.001; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 1e-2);
x = 2.0001; BOOST_CHECK_CLOSE(F8(x,x), F8_bare(x,x + 0.0001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F8(x,1), F8_bare(x,1.000001), 2e-2);
x = 0.02; BOOST_CHECK_SMALL(F8(x,1) - F8_bare(x,1.00001), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(F8(x,1) - F8_bare(x,1.00001), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(F8(x,1) - F8_bare(x,1.00001), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(F8(x,1) - F8_bare(x,1.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F8(1,x), F8_bare(1.000001,x), 2e-2);
x = 0.02; BOOST_CHECK_SMALL(F8(1,x) - F8_bare(1.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(F8(1,x) - F8_bare(1.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(F8(1,x) - F8_bare(1.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(F8(1,x) - F8_bare(1.00001,x), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F8(x,0), F8_bare(x,0.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(F8(x,0), F8_bare(x,0.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(F8(x,0), F8_bare(x,0.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(F8(x,0), F8_bare(x,0.00001), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(F8(x,0), F8_bare(x,0.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F8(0,x), F8_bare(0.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(F8(0,x), F8_bare(0.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(F8(0,x), F8_bare(0.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(F8(0,x), F8_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(F8(0,x), F8_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(F8(0,0), F8_bare(x,x+0.00001), 1e-2);
BOOST_CHECK(!std::isnan(F8(0,0)));
BOOST_CHECK(!std::isnan(F8(0,1)));
BOOST_CHECK(!std::isnan(F8(1,0)));
BOOST_CHECK(!std::isnan(F8(1,1)));
BOOST_CHECK(!std::isnan(F8(2,2)));
}
BOOST_AUTO_TEST_CASE(test_F9)
{
using namespace flexiblesusy::threshold_loop_functions;
double x, y = 2.;
x = 1.1; BOOST_CHECK_CLOSE(F9(x,y), F9_bare(x,y), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F9(x,y), F9_bare(x,y), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F9(x,y), F9_bare(x,y), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F9(x,y), F9_bare(x,y), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F9(x,y), F9_bare(x,y), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(F9(y,x), F9_bare(y,x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(F9(y,x), F9_bare(y,x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(F9(y,x), F9_bare(y,x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(F9(y,x), F9_bare(y,x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(F9(y,x), F9_bare(y,x), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 1.02; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 1.01; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 1.001; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 1.0001; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 2.1; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 2.02; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 2.01; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 2.001; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 2.0001; BOOST_CHECK_CLOSE(F9(x,x), F9_bare(x,x + 0.0001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F9(x,1), F9_bare(x,1.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(F9(x,1), F9_bare(x,1.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(F9(x,1), F9_bare(x,1.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(F9(x,1), F9_bare(x,1.00001), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(F9(x,1), F9_bare(x,1.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F9(1,x), F9_bare(1.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(F9(1,x), F9_bare(1.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(F9(1,x), F9_bare(1.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(F9(1,x), F9_bare(1.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(F9(1,x), F9_bare(1.00001,x), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F9(x,0), F9_bare(x,0.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(F9(x,0), F9_bare(x,0.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(F9(x,0), F9_bare(x,0.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(F9(x,0), F9_bare(x,0.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(F9(0,x), F9_bare(0.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(F9(0,x), F9_bare(0.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(F9(0,x), F9_bare(0.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(F9(0,x), F9_bare(0.00001,x), 1e-2);
BOOST_CHECK(!std::isnan(F9(0,1)));
BOOST_CHECK(!std::isnan(F9(1,0)));
BOOST_CHECK(!std::isnan(F9(1,1)));
BOOST_CHECK(!std::isnan(F9(2,2)));
}
BOOST_AUTO_TEST_CASE(test_f1)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(f1(x), f1_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_SMALL(f1(x) - f1_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_SMALL(f1(x) - f1_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(f1(0.)));
}
BOOST_AUTO_TEST_CASE(test_f2)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(f2(x), f2_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_SMALL(f2(x) - f2_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_SMALL(f2(x) - f2_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_SMALL(f2(x) - f2_bare(x), 1e-5);
x = 1e-8; BOOST_CHECK_SMALL(f2(x) - f2_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(f2(0.)));
}
BOOST_AUTO_TEST_CASE(test_f3)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(f3(x), f3_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_SMALL(f3(x) - f3_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_SMALL(f3(x) - f3_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_SMALL(f3(x) - f3_bare(x), 1e-5);
x = 1e-8; BOOST_CHECK_SMALL(f3(x) - f3_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(f3(0.)));
}
BOOST_AUTO_TEST_CASE(test_f4)
{
using namespace flexiblesusy::threshold_loop_functions;
double x;
x = 1.1; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 0.02; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 0.01; BOOST_CHECK_CLOSE(f4(x), f4_bare(x), 1e-5);
x = 0.001; BOOST_CHECK_SMALL(f4(x) - f4_bare(x), 1e-5);
x = 0.0001; BOOST_CHECK_SMALL(f4(x) - f4_bare(x), 1e-5);
x = 0.00001; BOOST_CHECK_SMALL(f4(x) - f4_bare(x), 1e-5);
x = 1e-8; BOOST_CHECK_SMALL(f4(x) - f4_bare(x), 1e-5);
BOOST_CHECK(!std::isnan(f4(0.)));
}
BOOST_AUTO_TEST_CASE(test_f5)
{
using namespace flexiblesusy::threshold_loop_functions;
double x, y = 2.;
x = 1.1; BOOST_CHECK_CLOSE(f5(x,y), f5_bare(x,y), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f5(x,y), f5_bare(x,y), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f5(x,y), f5_bare(x,y), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f5(x,y), f5_bare(x,y), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f5(x,y), f5_bare(x,y), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f5(y,x), f5_bare(y,x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f5(y,x), f5_bare(y,x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f5(y,x), f5_bare(y,x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f5(y,x), f5_bare(y,x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f5(y,x), f5_bare(y,x), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 1.02; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 1.01; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 1.001; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 1.0001; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 2.1; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 2.02; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 2.01; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 2.001; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 2.0001; BOOST_CHECK_CLOSE(f5(x,x), f5_bare(x,x + 0.0001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f5(x,0), f5_bare(x,0.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f5(x,0), f5_bare(x,0.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f5(x,0), f5_bare(x,0.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f5(x,0), f5_bare(x,0.00001), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f5(x,0), f5_bare(x,0.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f5(0,x), f5_bare(0.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f5(0,x), f5_bare(0.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f5(0,x), f5_bare(0.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f5(0,x), f5_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f5(0,x), f5_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f5(0,0), f5_bare(x,x+0.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f5(x,1), f5_bare(x,1.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f5(x,1), f5_bare(x,1.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f5(x,1), f5_bare(x,1.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f5(x,1), f5_bare(x,1.00001), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f5(x,1), f5_bare(x,1.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f5(1,x), f5_bare(1.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f5(1,x), f5_bare(1.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f5(1,x), f5_bare(1.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f5(1,x), f5_bare(1.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f5(1,x), f5_bare(1.00001,x), 1e-2);
BOOST_CHECK(!std::isnan(f5(0,0)));
BOOST_CHECK(!std::isnan(f5(0,1)));
BOOST_CHECK(!std::isnan(f5(1,0)));
BOOST_CHECK(!std::isnan(f5(1,1)));
BOOST_CHECK(!std::isnan(f5(2,2)));
}
BOOST_AUTO_TEST_CASE(test_f6)
{
using namespace flexiblesusy::threshold_loop_functions;
double x, y = 2.;
x = 1.1; BOOST_CHECK_CLOSE(f6(x,y), f6_bare(x,y), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f6(x,y), f6_bare(x,y), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f6(x,y), f6_bare(x,y), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f6(x,y), f6_bare(x,y), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f6(x,y), f6_bare(x,y), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f6(y,x), f6_bare(y,x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f6(y,x), f6_bare(y,x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f6(y,x), f6_bare(y,x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f6(y,x), f6_bare(y,x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f6(y,x), f6_bare(y,x), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 1.02; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 1.01; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 1.001; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 1.0001; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 2.1; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 2.02; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 2.01; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 2.001; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 2.0001; BOOST_CHECK_CLOSE(f6(x,x), f6_bare(x,x + 0.0001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f6(x,0), f6_bare(x,0.000001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f6(x,0), f6_bare(x,0.000001), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(f6(x,0) - f6_bare(x,0.000001), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(f6(x,0) - f6_bare(x,0.000001), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f6(x,0) - f6_bare(x,0.000001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f6(0,x), f6_bare(0.000001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f6(0,x), f6_bare(0.000001,x), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(f6(0,x) - f6_bare(0.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(f6(0,x) - f6_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f6(0,x) - f6_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f6(0,0) - f6_bare(x,x+0.00001), 1e-5);
x = 0.1; BOOST_CHECK_CLOSE(f6(x,1), f6_bare(x,1.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f6(x,1), f6_bare(x,1.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f6(x,1), f6_bare(x,1.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f6(x,1), f6_bare(x,1.00001), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f6(x,1), f6_bare(x,1.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f6(1,x), f6_bare(1.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f6(1,x), f6_bare(1.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f6(1,x), f6_bare(1.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f6(1,x), f6_bare(1.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f6(1,x), f6_bare(1.00001,x), 1e-2);
BOOST_CHECK(!std::isnan(f6(0,0)));
BOOST_CHECK(!std::isnan(f6(0,1)));
BOOST_CHECK(!std::isnan(f6(1,0)));
BOOST_CHECK(!std::isnan(f6(1,1)));
BOOST_CHECK(!std::isnan(f6(2,2)));
}
BOOST_AUTO_TEST_CASE(test_f7)
{
using namespace flexiblesusy::threshold_loop_functions;
double x, y = 2.;
x = 1.1; BOOST_CHECK_CLOSE(f7(x,y), f7_bare(x,y), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f7(x,y), f7_bare(x,y), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f7(x,y), f7_bare(x,y), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f7(x,y), f7_bare(x,y), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f7(x,y), f7_bare(x,y), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f7(y,x), f7_bare(y,x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f7(y,x), f7_bare(y,x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f7(y,x), f7_bare(y,x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f7(y,x), f7_bare(y,x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f7(y,x), f7_bare(y,x), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 1.02; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 1.01; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 1.001; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 1.0001; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 7e-2);
x = 2.1; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 4e-2);
x = 2.02; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 2.01; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 2.001; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 2.0001; BOOST_CHECK_CLOSE(f7(x,x), f7_bare(x,x + 0.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f7(x,0), f7_bare(x,0.000001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f7(x,0), f7_bare(x,0.000001), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(f7(x,0) - f7_bare(x,0.000001), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(f7(x,0) - f7_bare(x,0.000001), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f7(x,0) - f7_bare(x,0.000001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f7(0,x), f7_bare(0.000001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f7(0,x), f7_bare(0.000001,x), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(f7(0,x) - f7_bare(0.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(f7(0,x) - f7_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f7(0,x) - f7_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f7(0,0), f7_bare(x,x+0.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f7(x,1), f7_bare(x,1.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f7(x,1), f7_bare(x,1.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f7(x,1), f7_bare(x,1.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f7(x,1), f7_bare(x,1.00001), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f7(x,1), f7_bare(x,1.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f7(1,x), f7_bare(1.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f7(1,x), f7_bare(1.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f7(1,x), f7_bare(1.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f7(1,x), f7_bare(1.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f7(1,x), f7_bare(1.00001,x), 1e-2);
BOOST_CHECK(!std::isnan(f7(0,0)));
BOOST_CHECK(!std::isnan(f7(0,1)));
BOOST_CHECK(!std::isnan(f7(1,0)));
BOOST_CHECK(!std::isnan(f7(1,1)));
BOOST_CHECK(!std::isnan(f7(2,2)));
}
BOOST_AUTO_TEST_CASE(test_f8)
{
using namespace flexiblesusy::threshold_loop_functions;
double x, y = 2.;
x = 1.1; BOOST_CHECK_CLOSE(f8(x,y), f8_bare(x,y), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f8(x,y), f8_bare(x,y), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f8(x,y), f8_bare(x,y), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f8(x,y), f8_bare(x,y), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f8(x,y), f8_bare(x,y), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f8(y,x), f8_bare(y,x), 1e-5);
x = 1.02; BOOST_CHECK_CLOSE(f8(y,x), f8_bare(y,x), 1e-5);
x = 1.01; BOOST_CHECK_CLOSE(f8(y,x), f8_bare(y,x), 1e-5);
x = 1.001; BOOST_CHECK_CLOSE(f8(y,x), f8_bare(y,x), 1e-5);
x = 1.0001; BOOST_CHECK_CLOSE(f8(y,x), f8_bare(y,x), 1e-5);
x = 1.1; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 1.02; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 1.01; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 1.001; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 1.0001; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 2.1; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 2.02; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 2.01; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 2.001; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 2.0001; BOOST_CHECK_CLOSE(f8(x,x), f8_bare(x,x + 0.0001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f8(x,0), f8_bare(x,0.000001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f8(x,0), f8_bare(x,0.000001), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(f8(x,0) - f8_bare(x,0.000001), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(f8(x,0) - f8_bare(x,0.000001), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f8(x,0) - f8_bare(x,0.000001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f8(0,x), f8_bare(0.000001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f8(0,x), f8_bare(0.000001,x), 1e-2);
x = 0.01; BOOST_CHECK_SMALL(f8(0,x) - f8_bare(0.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_SMALL(f8(0,x) - f8_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f8(0,x) - f8_bare(0.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_SMALL(f8(0,0) - f8_bare(x,x+0.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f8(x,1), f8_bare(x,1.00001), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f8(x,1), f8_bare(x,1.00001), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f8(x,1), f8_bare(x,1.00001), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f8(x,1), f8_bare(x,1.00001), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f8(x,1), f8_bare(x,1.00001), 1e-2);
x = 0.1; BOOST_CHECK_CLOSE(f8(1,x), f8_bare(1.00001,x), 1e-2);
x = 0.02; BOOST_CHECK_CLOSE(f8(1,x), f8_bare(1.00001,x), 1e-2);
x = 0.01; BOOST_CHECK_CLOSE(f8(1,x), f8_bare(1.00001,x), 1e-2);
x = 0.001; BOOST_CHECK_CLOSE(f8(1,x), f8_bare(1.00001,x), 1e-2);
x = 0.0001; BOOST_CHECK_CLOSE(f8(1,x), f8_bare(1.00001,x), 1e-2);
BOOST_CHECK(!std::isnan(f8(0,0)));
BOOST_CHECK(!std::isnan(f8(0,1)));
BOOST_CHECK(!std::isnan(f8(1,0)));
BOOST_CHECK(!std::isnan(f8(1,1)));
BOOST_CHECK(!std::isnan(f8(2,2)));
}