int main()
{
# include "legendre_p.ipp"
# include "legendre_p_large.ipp"
add_data(legendre_p);
add_data(legendre_p_large);
unsigned data_total = data.size();
screen_data([](const std::vector<double>& v){ return boost::math::legendre_q(v[0], v[1]); }, [](const std::vector<double>& v){ return v[3]; });
#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
screen_data([](const std::vector<double>& v){ return gsl_sf_legendre_Ql(v[0], v[1]); }, [](const std::vector<double>& v){ return v[3]; });
#endif
unsigned data_used = data.size();
std::string function = "legendre Q[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
std::string function_short = "legendre Q";
double time;
time = exec_timed_test([](const std::vector<double>& v){ return boost::math::legendre_q(v[0], v[1]); });
std::cout << time << std::endl;
#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
#endif
report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
//
// Boost again, but with promotion to long double turned off:
//
#if !defined(COMPILER_COMPARISON_TABLES)
if(sizeof(long double) != sizeof(double))
{
time = exec_timed_test([](const std::vector<double>& v){ return boost::math::legendre_q(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>())); });
std::cout << time << std::endl;
#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
#endif
report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
}
#endif
#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
time = exec_timed_test([](const std::vector<double>& v){ return gsl_sf_legendre_Ql(v[0], v[1]); });
std::cout << time << std::endl;
report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
#endif
return 0;
}
int quad_x2_singularity(double y, int n, double *x_gauss, double *w_gauss, double *x, double *w)
{
int i, j, k, n1, n2, n3;
double z, temp, z_temp;
for(i=1;i<=n;i++)
{
x[i] = x_gauss[i];
}
for(i=1;i<=n;i++)
{
z = 0.0;
z_temp = 0.0;
for(j=0;j<=(n-2);j++)
{
temp = floor((j-1)/2.0);
n3 = (int)temp;
for(k=0;k<=n3;k++)
{
z_temp = z_temp + (((2*j) - (4*k) -1)*((2*j) + 1)*gsl_sf_legendre_Ql(j-1-(2*k),y)*legendre_poly(j,x_gauss[i]));
}
}
z = z - z_temp;
for(j=0;j<=n-1;j++)
{
if((j%2)==0){
z = z + (((2.0*j + 1.0)/2.0)*legendre_poly(j,x_gauss[i])*((1.0/(y-1.0))-(1.0/(y+1.0))));
} else {
z = z + (((2.0*j + 1.0)/2.0)*legendre_poly(j,x_gauss[i])*((1.0/(y-1.0))+(1.0/(y+1.0))));
}
}
w[i] = w_gauss[i]*z;
}
return 0;
}
int quad_x_singularity(double y, int n, double *x_gauss, double *w_gauss, double *x, double *w)
{
int i, j;
double z;
for(i=1;i<=n;i++)
{
x[i] = x_gauss[i];
}
for(i=1;i<=n;i++)
{
z = 0.0;
for(j=0;j<=n-1;j++)
{
z = z + (((2*j) + 1)*legendre_poly(j,x_gauss[i])*gsl_sf_legendre_Ql(j,y));
}
w[i] = w_gauss[i]*z;
}
return 0;
}
double r_func(int i, double x)
{
return (gsl_sf_legendre_Ql(i,x) + ((0.25)*log((x-1.0)*(x-1.0))));
}
