scalar sasfit_ff_gauss_generalized_3(scalar q, sasfit_param * param)
{
scalar u,i0, v, na, beta;
SASFIT_ASSERT_PTR(param);
SASFIT_CHECK_COND1((q < 0.0), param, "q(%lg) < 0",q);
SASFIT_CHECK_COND1((RG <= 0.0), param, "RG(%lg) < 0",RG);
SASFIT_CHECK_COND1((NU <= 0.0), param, "nu(%lg) <= 0",NU);
SASFIT_CHECK_COND1((NU > 1.0), param, "nu(%lg) > 1",NU);
u = (2.0*NU+1.0)*(2.0*NU+2.0)*q*q*RG*RG/6.0;
na = 6.0221415e23;
v = MW/RHO_P/na;
beta = B_P - v*ETA_S;
i0 = beta*beta;
if (q*RG<0.1) return i0*exp(-q*q*RG*RG/3);
// if (u>1000.0){
// return i0*(
// gsl_sf_gamma(1.0/(2.*NU))/(NU*pow(u,1.0/(2.0*NU)))
// - gsl_sf_gamma(1.0/NU) /(NU*pow(u,1.0/NU))
// );
// } else {
return i0*
(pow(u,1/(2.*NU)) * gsl_sf_gamma(1.0/(2.*NU))
- gsl_sf_gamma(1.0/NU)
- pow(u,1/(2.*NU)) * gsl_sf_gamma_inc(1.0/(2.*NU),u) +
gsl_sf_gamma_inc(1.0/NU,u)
)/(NU*pow(u,1/NU));
// }
}
int main()
{
# include "igamma_med_data.ipp"
# include "igamma_small_data.ipp"
# include "igamma_big_data.ipp"
# include "igamma_int_data.ipp"
add_data(igamma_med_data);
add_data(igamma_small_data);
add_data(igamma_big_data);
add_data(igamma_int_data);
unsigned data_total = data.size();
screen_data([](const std::vector<double>& v){ return boost::math::tgamma(v[0], v[1]); }, [](const std::vector<double>& v){ return v[2]; });
#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
screen_data([](const std::vector<double>& v){ return gsl_sf_gamma_inc(v[0], v[1]); }, [](const std::vector<double>& v){ return v[2]; });
#endif
unsigned data_used = data.size();
std::string function = "tgamma (incomplete)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
std::string function_short = "tgamma (incomplete)";
double time;
time = exec_timed_test([](const std::vector<double>& v){ return boost::math::tgamma(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::tgamma(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_gamma_inc(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;
}
//
//
//
/// @param [in] a A real number.
//
/// @param [in] b A real number, where @f$ b \geq 0.0 @f$.
//
/// @brief Calls the GSL library to calculate the incomplete
/// gamma function.
//
/// @return @f[ := \int_{b}^{\infty} t^{a - 1} \exp(-t)dt @f]
/// If @f$ b @f$ is out of range, the function
/// returns zero.
//
inline double incomplete_gamma_function(const double &a,
const double &b)
{
switch(b >= 0.0)
{
case false: return 0.0; break;
case true: return gsl_sf_gamma_inc(a, b); break;
}
};
double
nest::sinusoidal_gamma_generator::hazard_( port tgt_idx ) const
{
// Note: We compute Lambda for the entire interval since the last spike/
// parameter change each time for better accuracy.
const double Lambda = B_.Lambda_t0_[ tgt_idx ]
+ deltaLambda_( P_, B_.t0_ms_[ tgt_idx ], V_.t_ms_ );
return V_.h_ * P_.order_ * S_.rate_ * std::pow( Lambda, P_.order_ - 1 )
* std::exp( -Lambda ) / gsl_sf_gamma_inc( P_.order_, Lambda );
}
