int main()
{
#include "sph_neumann_data.ipp"
add_data(sph_neumann_data);
unsigned data_total = data.size();
screen_data([](const std::vector<double>& v){ return boost::math::sph_neumann(static_cast<int>(v[0]), v[1]); }, [](const std::vector<double>& v){ return v[2]; });
#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
screen_data([](const std::vector<double>& v){ return std::tr1::sph_neumann(static_cast<int>(v[0]), v[1]); }, [](const std::vector<double>& v){ return v[2]; });
#endif
#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
screen_data([](const std::vector<double>& v){ return gsl_sf_bessel_yl(static_cast<int>(v[0]), v[1]); }, [](const std::vector<double>& v){ return v[2]; });
#endif
unsigned data_used = data.size();
std::string function = "sph_neumann[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
std::string function_short = "sph_neumann";
double time;
time = exec_timed_test([](const std::vector<double>& v){ return boost::math::sph_neumann(static_cast<int>(v[0]), v[1]); });
std::cout << time << std::endl;
#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
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::sph_neumann(static_cast<int>(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) || defined(TEST_LIBSTDCXX))
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_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
time = exec_timed_test([](const std::vector<double>& v){ return std::tr1::sph_neumann(static_cast<int>(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, "tr1/cmath");
#endif
#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
time = exec_timed_test([](const std::vector<double>& v){ return gsl_sf_bessel_yl(static_cast<int>(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;
}
void fillArrays( const int nmin, const int nmax )
{
{
double jp1( gsl_sf_bessel_jl( nmax+1, x ) );
double j( gsl_sf_bessel_jl( nmax, x ) );
sjArray[nmax-nmin] = j;
for( int n( nmax ); n >= nmin+1; --n )
{
const double jm1( ( n + n + 1.0 ) * x_r * j - jp1 );
sjArray[n-nmin-1] = jm1;
jp1 = j;
j = jm1;
}
}
{
double y( gsl_sf_bessel_yl( nmin+1, x ) );
double ym1( gsl_sf_bessel_yl( nmin, x ) );
syArray[0] = ym1;
syArray[1] = y;
for( int n( nmin+1 ); n < nmax; ++n )
{
const double yp1( ( n + n + 1.0 ) * x_r * y - ym1 );
syArray[n-nmin+1] = yp1;
ym1 = y;
y = yp1;
}
}
}
static Real _y(UnsignedInteger n, Real z)
{
return gsl_sf_bessel_yl(n, z);
}
/* compile with gcc test_gsl.c -lgsl -lgslcblas -L<location of gsl library> */
int main (void)
{
double rmin=0.7,rmax=1.;
double alpha = 1.,delta_alpha=1.;
double falpha,ss,err,oldss;
int ell_min=6,ell_max=8;
int iter=0,Nzeros=5;
int iell;
double ERR = 1.e-12;
double zeros[Nzeros];
int ell=0,izeros;
FILE *in,*out,*fout;
/* --------------------- */
in = fopen("alpha_in_tex.dat","w");
fout = fopen("alpha_in.dat","w");
fprintf(in," %d %d %f %f \n",ell_min,ell_max,rmin,rmax);
fprintf(fout," %d %d %f %f \n",ell_min,ell_max,rmin,rmax);
for(iell=ell_min;iell<ell_max+1;iell++){
ell=iell;
printf("Legendrel=%d \n",ell);
alpha = 1.;
izeros = 0;
while(izeros<Nzeros){
falpha = gsl_sf_bessel_jl(ell,alpha*rmin)*gsl_sf_bessel_yl(ell,alpha*rmax)-
gsl_sf_bessel_jl(ell,alpha*rmax)*gsl_sf_bessel_yl(ell,alpha*rmin);
err = fabs(falpha);
oldss = falpha/err;
delta_alpha = 1.;
while(err>ERR){
alpha = alpha+delta_alpha;
falpha = gsl_sf_bessel_jl(ell,alpha*rmin)*gsl_sf_bessel_yl(ell,alpha*rmax)-
gsl_sf_bessel_jl(ell,alpha*rmax)*gsl_sf_bessel_yl(ell,alpha*rmin);
err = fabs(falpha);
ss = falpha/err;
if(ss!=oldss) {
delta_alpha = -delta_alpha/2.;}
else{}
iter = iter+1;
printf("ell=%d alpha=%le, falpha=%le, delta_alpha=%le, ss=%le, iter=%d, err=%le \n",
ell,alpha,falpha,delta_alpha,ss,iter,err);
oldss = ss;
}
printf("convergence achieved \n");
printf("Legendrel=%d alpha=%le, falpha=%le, delta_alpha=%le,ss=%le, iter=%d, err=%le \n",
ell,alpha,falpha,delta_alpha,ss,iter,err);
zeros[izeros] = alpha;
alpha = (double) (ceil(alpha));
izeros = izeros+1;
}
printf("==========Legendrel = %d ================\n",ell);
printf("%d \t",ell);
fprintf(in,"%d \t ",ell);
for(izeros=0;izeros<Nzeros;izeros++){
printf(" %le ",zeros[izeros]);
fprintf(in," & %f ",zeros[izeros]);
}
printf("\n");
fprintf(in,"\\\\ \n");
/* ---------------------------------------- */
fprintf(fout,"%d ",ell);
for(izeros=0;izeros<Nzeros;izeros++){
fprintf(fout," %f ",zeros[izeros]);
}
fprintf(fout,"\n");
}
return 0;
}