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			751 lines
		
	
	
		
			29 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			751 lines
		
	
	
		
			29 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| //  Copyright John Maddock 2015.
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| //  Use, modification and distribution are subject to the
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| //  Boost Software License, Version 1.0. (See accompanying file
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| //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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| 
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| #ifndef BOOST_MATH_BINDINGS
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| #define BOOST_MATH_BINDINGS
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| 
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| #define ERROR_REPORTING_MODE
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| 
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| #if TEST_LIBSTDCXX
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| 
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| #include <tr1/cmath>
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| #include <stdexcept>
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| 
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| #define TEST_LIBRARY_NAME "<tr1/cmath>"
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| 
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| #define LOG1P_FUNCTION_TO_TEST std::tr1::log1p
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| #define EXPM1_FUNCTION_TO_TEST std::tr1::log1p
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| 
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| #define CBRT_FUNCTION_TO_TEST std::tr1::cbrt
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| #define ERF_FUNCTION_TO_TEST std::tr1::erf
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| #define ERFC_FUNCTION_TO_TEST std::tr1::erfc
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| 
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| #define LGAMMA_FUNCTION_TO_TEST std::tr1::lgamma
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| #define TGAMMA_FUNCTION_TO_TEST std::tr1::tgamma
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| 
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| #define BESSEL_I_FUNCTION_TO_TEST std::tr1::cyl_bessel_i
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| #define BESSEL_IN_FUNCTION_TO_TEST std::tr1::cyl_bessel_i
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| #define BESSEL_J_FUNCTION_TO_TEST std::tr1::cyl_bessel_j
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| #define BESSEL_JN_FUNCTION_TO_TEST std::tr1::cyl_bessel_j
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| #define BESSEL_JS_FUNCTION_TO_TEST std::tr1::sph_bessel
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| #define BESSEL_K_FUNCTION_TO_TEST std::tr1::cyl_bessel_k
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| #define BESSEL_KN_FUNCTION_TO_TEST std::tr1::cyl_bessel_k
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| #define BESSEL_Y_FUNCTION_TO_TEST std::tr1::cyl_neumann
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| #define BESSEL_YN_FUNCTION_TO_TEST std::tr1::cyl_neumann
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| #define BESSEL_YS_FUNCTION_TO_TEST std::tr1::sph_neumann
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| 
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| #define BETA_FUNCTION_TO_TEST std::tr1::beta
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| 
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| #define ELLINT_1_FUNCTION_TO_TEST std::tr1::ellint_1
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| #define ELLINT_1C_FUNCTION_TO_TEST std::tr1::comp_ellint_1
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| #define ELLINT_2_FUNCTION_TO_TEST std::tr1::ellint_2
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| #define ELLINT_2C_FUNCTION_TO_TEST std::tr1::comp_ellint_2
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| #define ELLINT_3_FUNCTION_TO_TEST std::tr1::ellint_3
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| #define ELLINT_3C_FUNCTION_TO_TEST std::tr1::comp_ellint_3
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| 
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| #define EI_FUNCTION_TO_TEST std::tr1::expint
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| 
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| #define LAGUERRE_FUNCTION_TO_TEST std::tr1::laguerre
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| #define ASSOC_LAGUERRE_FUNCTION_TO_TEST std::tr1::assoc_laguerre
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| 
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| inline long double legendre_p_binder(int i, long double d)
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| {
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|    if(i < 0)
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|       throw std::domain_error("order parameters less than 0 not supported in TR1");
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|    return std::tr1::legendre(i, d);
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| }
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| inline long double assoc_legendre_p_binder(int i, int j, long double d)
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| {
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|    if((i < 0) || (j < 0))
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|       throw std::domain_error("order parameters less than 0 not supported in TR1");
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|    return std::tr1::assoc_legendre(i, j, d);
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| }
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| 
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| #define LEGENDRE_P_FUNCTION_TO_TEST legendre_p_binder
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| #define LEGENDRE_PA_FUNCTION_TO_TEST assoc_legendre_p_binder
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| #define ZETA_FUNCTION_TO_TEST std::tr1::riemann_zeta
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| 
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| #define TYPE_TO_TEST long double
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| 
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| #elif defined(TEST_C99)
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| 
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| #include <math.h>
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| 
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| #define TEST_LIBRARY_NAME "<math.h>"
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| 
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| #ifdef _MSC_VER
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| 
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| #define LOG1P_FUNCTION_TO_TEST ::log1p
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| #define EXPM1_FUNCTION_TO_TEST ::expm1
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| 
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| #define CBRT_FUNCTION_TO_TEST ::cbrt
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| #define ERF_FUNCTION_TO_TEST ::erf
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| #define ERFC_FUNCTION_TO_TEST ::erfc
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| 
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| #define LGAMMA_FUNCTION_TO_TEST ::lgamma
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| #define TGAMMA_FUNCTION_TO_TEST ::tgamma
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| #define BESSEL_JN_FUNCTION_TO_TEST ::jn
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| #define BESSEL_YN_FUNCTION_TO_TEST ::yn
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| 
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| #define TYPE_TO_TEST double
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| 
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| #else
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| 
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| #define LOG1P_FUNCTION_TO_TEST ::log1pl
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| #define EXPM1_FUNCTION_TO_TEST ::expm1l
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| 
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| #define CBRT_FUNCTION_TO_TEST ::cbrtl
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| #define ERF_FUNCTION_TO_TEST ::erfl
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| #define ERFC_FUNCTION_TO_TEST ::erfcl
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| 
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| #define LGAMMA_FUNCTION_TO_TEST ::lgammal
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| #define TGAMMA_FUNCTION_TO_TEST ::tgammal
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| //#define BESSEL_JN_FUNCTION_TO_TEST ::jnl
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| //#define BESSEL_JN_FUNCTION_TO_TEST ::ynl
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| 
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| #define TYPE_TO_TEST long double
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| #endif
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| 
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| #elif defined(TEST_GSL)
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| 
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| #include <stdexcept>
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| 
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| #include <gsl/gsl_sf.h>
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| #include <gsl/gsl_errno.h>
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| #include <gsl/gsl_version.h>
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| 
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| #define TEST_LIBRARY_NAME "GSL " GSL_VERSION
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| 
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| void gsl_handler(const char * reason, const char * file, int line, int gsl_errno)
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| {
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|    if(gsl_errno == GSL_ERANGE) return; // handle zero or infinity in our test code.
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|    throw std::domain_error(reason);
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| }
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| 
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| struct gsl_error_handler_setter
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| {
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|    gsl_error_handler_t * old_handler;
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|    gsl_error_handler_setter()
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|    {
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|       old_handler = gsl_set_error_handler(gsl_handler);
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|    }
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|    ~gsl_error_handler_setter()
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|    {
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|       gsl_set_error_handler(old_handler);
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|    }
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| };
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| 
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| static const gsl_error_handler_setter handler;
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| 
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| inline double gsl_bessel_ys(unsigned i, double d)
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| {
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|    return gsl_sf_bessel_yl(i, d);
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| }
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| 
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| inline double gsl_bessel_js(unsigned i, double d)
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| {
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|    return gsl_sf_bessel_jl(i, d);
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| }
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| 
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| //#define CBRT_FUNCTION_TO_TEST boost::cbrt
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| #define ERF_FUNCTION_TO_TEST gsl_sf_erf
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| #define ERFC_FUNCTION_TO_TEST gsl_sf_erfc
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| //#define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
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| //#define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
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| 
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| #define LGAMMA_FUNCTION_TO_TEST gsl_sf_lngamma
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| #define TGAMMA_FUNCTION_TO_TEST gsl_sf_gamma
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| //#define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
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| 
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| #define BESSEL_I_FUNCTION_TO_TEST gsl_sf_bessel_Inu
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| #define BESSEL_IN_FUNCTION_TO_TEST gsl_sf_bessel_In
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| //#define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
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| //#define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
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| #define BESSEL_J_FUNCTION_TO_TEST  gsl_sf_bessel_Jnu
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| #define BESSEL_JN_FUNCTION_TO_TEST  gsl_sf_bessel_Jn
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| #define BESSEL_JS_FUNCTION_TO_TEST  gsl_bessel_js
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| //#define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
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| //#define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
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| //#define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
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| #define BESSEL_K_FUNCTION_TO_TEST  gsl_sf_bessel_Knu
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| #define BESSEL_KN_FUNCTION_TO_TEST gsl_sf_bessel_Kn
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| //#define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
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| //#define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
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| #define BESSEL_Y_FUNCTION_TO_TEST gsl_sf_bessel_Ynu
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| #define BESSEL_YN_FUNCTION_TO_TEST gsl_sf_bessel_Yn
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| #define BESSEL_YS_FUNCTION_TO_TEST gsl_bessel_ys
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| //#define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
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| //#define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
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| //#define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
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| 
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| #define BETA_FUNCTION_TO_TEST gsl_sf_beta
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| //#define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
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| 
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| inline double RC(double a, double b)
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| {
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|    return gsl_sf_ellint_RC(a, b, GSL_PREC_DOUBLE);
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| }
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| inline double RD(double a, double b, double c)
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| {
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|    return gsl_sf_ellint_RD(a, b, c, GSL_PREC_DOUBLE);
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| }
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| inline double RF(double a, double b, double c)
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| {
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|    return gsl_sf_ellint_RF(a, b, c, GSL_PREC_DOUBLE);
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| }
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| inline double RJ(double a, double b, double c, double d)
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| {
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|    return gsl_sf_ellint_RJ(a, b, c, d, GSL_PREC_DOUBLE);
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| }
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| 
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| 
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| #define ELLINT_RC_FUNCTION_TO_TEST RC
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| #define ELLINT_RD_FUNCTION_TO_TEST RD
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| #define ELLINT_RF_FUNCTION_TO_TEST RF
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| //#define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
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| #define ELLINT_RJ_FUNCTION_TO_TEST RJ
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| 
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| #define DIGAMMA_FUNCTION_TO_TEST  gsl_sf_psi
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| 
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| inline double ellintK(double a) { return gsl_sf_ellint_Kcomp(a, GSL_PREC_DOUBLE); }
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| inline double ellintE(double a) { return gsl_sf_ellint_Ecomp(a, GSL_PREC_DOUBLE); }
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| inline double ellintP(double a, double b) { return gsl_sf_ellint_Pcomp(a, -b, GSL_PREC_DOUBLE); }
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| 
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| inline double ellintF(double a, double b) { return gsl_sf_ellint_F(b, a, GSL_PREC_DOUBLE); }
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| inline double ellintE2(double a, double b) { return gsl_sf_ellint_E(b, a, GSL_PREC_DOUBLE); }
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| inline double ellintP3(double a, double b, double c) { return gsl_sf_ellint_P(c, a, -b, GSL_PREC_DOUBLE); }
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| inline double ellintD2(double a, double b) { return gsl_sf_ellint_D(b, a, 0.0, GSL_PREC_DOUBLE); }
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| 
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| #define ELLINT_1_FUNCTION_TO_TEST ellintF
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| #define ELLINT_1C_FUNCTION_TO_TEST ellintK
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| #define ELLINT_2_FUNCTION_TO_TEST ellintE2
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| #define ELLINT_2C_FUNCTION_TO_TEST ellintE
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| #define ELLINT_3_FUNCTION_TO_TEST ellintP3
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| #define ELLINT_3C_FUNCTION_TO_TEST ellintP
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| #define ELLINT_D2_FUNCTION_TO_TEST ellintD2
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| //#define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
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| 
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| #define EI_FUNCTION_TO_TEST gsl_sf_expint_Ei
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| #define EN_FUNCTION_TO_TEST  gsl_sf_expint_En
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| 
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| //#define HERMITE_FUNCTION_TO_TEST boost::math::hermite
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| //#define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
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| 
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| //#define BETA_INC_FUNCTION_TO_TEST boost::math::beta
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| //#define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
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| #define IBETA_FUNCTION_TO_TEST gsl_sf_beta_inc
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| //#define IBETAC_FUNCTION_TO_TEST boost::math::ibetac
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| //#define IBETA_INV_FUNCTION_TO_TEST boost::math::ibeta_inv
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| //#define IBETAC_INV_FUNCTION_TO_TEST boost::math::ibetac_inv
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| //#define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
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| //#define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
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| //#define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
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| //#define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
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| 
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| #define IGAMMA_FUNCTION_TO_TEST gsl_sf_gamma_inc
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| //#define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
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| #define GAMMAP_FUNCTION_TO_TEST gsl_sf_gamma_inc_P
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| #define GAMMAQ_FUNCTION_TO_TEST gsl_sf_gamma_inc_Q
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| //#define GAMMAP_INV_FUNCTION_TO_TEST boost::math::gamma_p_inv
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| //#define GAMMAQ_INV_FUNCTION_TO_TEST boost::math::gamma_q_inv
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| //#define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
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| //#define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
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| 
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| inline double sn(double k, double u)
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| {
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|    double s, c, d;
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|    gsl_sf_elljac_e(u, k * k, &s, &c, &d);
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|    return s;
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| }
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| inline double cn(double k, double u)
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| {
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|    double s, c, d;
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|    gsl_sf_elljac_e(u, k * k, &s, &c, &d);
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|    return c;
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| }
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| inline double dn(double k, double u)
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| {
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|    double s, c, d;
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|    gsl_sf_elljac_e(u, k * k, &s, &c, &d);
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|    return d;
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| }
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| 
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| #define SN_FUNCTION_TO_TEST sn
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| #define CN_FUNCTION_TO_TEST cn
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| #define DN_FUNCTION_TO_TEST dn
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| //#define JACOBI_ZETA_FUNCTION_TO_TEST boost::math::jacobi_zeta
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| 
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| inline double laguerre(unsigned n, unsigned m, double x){ return gsl_sf_laguerre_n(n, m, x); }
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| inline double laguerre_0(unsigned n, double x){ return gsl_sf_laguerre_n(n, 0, x); }
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| 
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| #define LAGUERRE_FUNCTION_TO_TEST laguerre_0
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| #define ASSOC_LAGUERRE_FUNCTION_TO_TEST laguerre
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| 
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| inline double legendre_q(unsigned n, double x) { return gsl_sf_legendre_Ql(n, x); }
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| 
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| #define LEGENDRE_P_FUNCTION_TO_TEST gsl_sf_legendre_Pl
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| #define LEGENDRE_Q_FUNCTION_TO_TEST  legendre_q
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| #define LEGENDRE_PA_FUNCTION_TO_TEST  gsl_sf_legendre_Plm
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| 
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| #define POLYGAMMA_FUNCTION_TO_TEST  gsl_sf_psi_n
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| //#define TGAMMA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_ratio
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| //#define TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_delta_ratio
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| //#define SIN_PI_RATIO_FUNCTION_TO_TEST boost::math::sin_pi
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| //#define COS_PI_RATIO_FUNCTION_TO_TEST boost::math::cos_pi
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| #define TRIGAMMA_RATIO_FUNCTION_TO_TEST gsl_sf_psi_1
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| #define ZETA_FUNCTION_TO_TEST gsl_sf_zeta
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| 
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| #define TYPE_TO_TEST double
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| 
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| #elif defined(TEST_RMATH)
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| 
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| #define MATHLIB_STANDALONE
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| #include <Rmath.h>
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| 
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| #undef trunc
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| 
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| #define TEST_LIBRARY_NAME "Rmath " R_VERSION_STRING
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| 
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| #define LOG1P_FUNCTION_TO_TEST log1p
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| #define EXPM1_FUNCTION_TO_TEST expm1
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| 
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| //#define CBRT_FUNCTION_TO_TEST boost::math::cbrt
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| //#define ERF_FUNCTION_TO_TEST boost::math::erf
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| //#define ERFC_FUNCTION_TO_TEST boost::math::erfc
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| //#define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
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| //#define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
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| 
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| #define LGAMMA_FUNCTION_TO_TEST lgammafn
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| #define TGAMMA_FUNCTION_TO_TEST gammafn
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| //#define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
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| 
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| inline double I(double n, double x) { return bessel_i(x, n, 1); }
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| inline double K(double n, double x) { return bessel_k(x, n, 1); }
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| inline double J(double n, double x) { return bessel_j(x, n); }
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| inline double Y(double n, double x) { return bessel_y(x, n); }
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| 
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| #define BESSEL_I_FUNCTION_TO_TEST I
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| #define BESSEL_IN_FUNCTION_TO_TEST I
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| //#define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
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| //#define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
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| #define BESSEL_J_FUNCTION_TO_TEST J
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| #define BESSEL_JN_FUNCTION_TO_TEST J
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| //#define BESSEL_JS_FUNCTION_TO_TEST boost::math::sph_bessel
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| //#define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
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| //#define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
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| //#define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
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| #define BESSEL_K_FUNCTION_TO_TEST K
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| #define BESSEL_KN_FUNCTION_TO_TEST K
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| //#define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
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| //#define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
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| #define BESSEL_Y_FUNCTION_TO_TEST Y
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| #define BESSEL_YN_FUNCTION_TO_TEST Y
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| //#define BESSEL_YS_FUNCTION_TO_TEST boost::math::sph_neumann
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| //#define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
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| //#define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
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| //#define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
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| 
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| #define BETA_FUNCTION_TO_TEST beta
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| //#define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
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| 
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| //#define ELLINT_RC_FUNCTION_TO_TEST boost::math::ellint_rc
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| //#define ELLINT_RD_FUNCTION_TO_TEST boost::math::ellint_rd
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| //#define ELLINT_RF_FUNCTION_TO_TEST boost::math::ellint_rf
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| //#define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
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| //#define ELLINT_RJ_FUNCTION_TO_TEST boost::math::ellint_rj
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| 
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| #define DIGAMMA_FUNCTION_TO_TEST digamma
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| 
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| //#define ELLINT_1_FUNCTION_TO_TEST boost::math::ellint_1
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| //#define ELLINT_1C_FUNCTION_TO_TEST boost::math::ellint_1
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| //#define ELLINT_2_FUNCTION_TO_TEST boost::math::ellint_2
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| //#define ELLINT_2C_FUNCTION_TO_TEST boost::math::ellint_2
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| //#define ELLINT_3_FUNCTION_TO_TEST boost::math::ellint_3
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| //#define ELLINT_3C_FUNCTION_TO_TEST boost::math::ellint_3
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| //#define ELLINT_D2_FUNCTION_TO_TEST boost::math::ellint_d
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| //#define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
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| 
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| //#define EI_FUNCTION_TO_TEST boost::math::expint
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| //#define EN_FUNCTION_TO_TEST boost::math::expint
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| 
 | |
| //#define HERMITE_FUNCTION_TO_TEST boost::math::hermite
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| //#define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
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| 
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| inline double ibeta(double a, double b, double x) { return pbeta(x, a, b, 1, 0); }
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| inline double ibetac(double a, double b, double x) { return pbeta(x, a, b, 0, 0); }
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| inline double ibeta_inv(double a, double b, double x) { return qbeta(x, a, b, 1, 0); }
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| inline double ibetac_inv(double a, double b, double x) { return qbeta(x, a, b, 0, 0); }
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| 
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| //#define BETA_INC_FUNCTION_TO_TEST boost::math::beta
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| //#define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
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| #define IBETA_FUNCTION_TO_TEST ibeta
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| #define IBETAC_FUNCTION_TO_TEST ibetac
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| #define IBETA_INV_FUNCTION_TO_TEST ibeta_inv
 | |
| #define IBETAC_INV_FUNCTION_TO_TEST ibetac_inv
 | |
| //#define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
 | |
| //#define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
 | |
| //#define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
 | |
| //#define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
 | |
| 
 | |
| inline double gamma_p(double a, double x) { return pgamma(x, a, 1.0, 1, 0); }
 | |
| inline double gamma_q(double a, double x) { return pgamma(x, a, 1.0, 0, 0); }
 | |
| inline double gamma_p_inv(double a, double x) { return qgamma(x, a, 1.0, 1, 0); }
 | |
| inline double gamma_q_inv(double a, double x) { return qgamma(x, a, 1.0, 0, 0); }
 | |
| 
 | |
| //#define IGAMMA_FUNCTION_TO_TEST boost::math::tgamma
 | |
| //#define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
 | |
| #define GAMMAP_FUNCTION_TO_TEST gamma_p
 | |
| #define GAMMAQ_FUNCTION_TO_TEST gamma_q
 | |
| #define GAMMAP_INV_FUNCTION_TO_TEST gamma_p_inv
 | |
| #define GAMMAQ_INV_FUNCTION_TO_TEST gamma_q_inv
 | |
| //#define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
 | |
| //#define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
 | |
| 
 | |
| //#define SN_FUNCTION_TO_TEST boost::math::jacobi_sn
 | |
| //#define CN_FUNCTION_TO_TEST boost::math::jacobi_cn
 | |
| //#define DN_FUNCTION_TO_TEST boost::math::jacobi_dn
 | |
| //#define JACOBI_ZETA_FUNCTION_TO_TEST boost::math::jacobi_zeta
 | |
| 
 | |
| //#define LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
 | |
| //#define ASSOC_LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
 | |
| 
 | |
| //#define LEGENDRE_P_FUNCTION_TO_TEST boost::math::legendre_p
 | |
| //#define LEGENDRE_Q_FUNCTION_TO_TEST boost::math::legendre_q
 | |
| //#define LEGENDRE_PA_FUNCTION_TO_TEST boost::math::legendre_p
 | |
| 
 | |
| inline double polygamma(int n, double x) { return psigamma(x, n); }
 | |
| 
 | |
| #define POLYGAMMA_FUNCTION_TO_TEST polygamma
 | |
| //#define TGAMMA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_ratio
 | |
| //#define TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_delta_ratio
 | |
| //#define SIN_PI_RATIO_FUNCTION_TO_TEST sinpi
 | |
| //#define COS_PI_RATIO_FUNCTION_TO_TEST cospi
 | |
| #define TRIGAMMA_RATIO_FUNCTION_TO_TEST trigamma
 | |
| //#define ZETA_FUNCTION_TO_TEST boost::math::zeta
 | |
| 
 | |
| //#define SQRT1PM1_FUNCTION_TO_TEST boost::math::sqrt1pm1
 | |
| //#define POWM1_FUNCTION_TO_TEST boost::math::powm1
 | |
| //#define OWENS_T_FUNCTION_TO_TEST boost::math::owens_t
 | |
| //#define SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST boost::math::spherical_harmonic_r
 | |
| //#define SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST boost::math::spherical_harmonic_i
 | |
| 
 | |
| template <class T> T do_nc_beta_cdf(T a, T b, T nc, T x){ return pnbeta(x, a, b, nc, 1, 0); }
 | |
| template <class T> T do_nc_beta_ccdf(T a, T b, T nc, T x){ return pnbeta(x, a, b, nc, 0, 0); }
 | |
| template <class T> T do_nc_chi_squared_cdf(T df, T nc, T x){ return pnchisq(x, df, nc, 1, 0); }
 | |
| template <class T> T do_nc_chi_squared_ccdf(T df, T nc, T x){ return pnchisq(x, df, nc, 0, 0); }
 | |
| template <class T> T do_nc_t_cdf(T df, T nc, T x){ return pnt(x, df, nc, 1, 0); }
 | |
| template <class T> T do_nc_t_ccdf(T df, T nc, T x){ return pnt(x, df, nc, 0, 0); }
 | |
| 
 | |
| #define NC_BETA_CDF_FUNCTION_TO_TEST do_nc_beta_cdf
 | |
| #define NC_BETA_CCDF_FUNCTION_TO_TEST do_nc_beta_ccdf
 | |
| #define NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST do_nc_chi_squared_cdf
 | |
| #define NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST do_nc_chi_squared_ccdf
 | |
| #define NC_T_CDF_FUNCTION_TO_TEST do_nc_t_cdf
 | |
| #define NC_T_CCDF_FUNCTION_TO_TEST do_nc_t_ccdf
 | |
| 
 | |
| #define TYPE_TO_TEST double
 | |
| 
 | |
| #elif defined(TEST_CEPHES)
 | |
| 
 | |
| #define TEST_LIBRARY_NAME "Cephes"
 | |
| #define TYPE_TO_TEST double
 | |
| 
 | |
| extern "C" {
 | |
| 
 | |
|    double log1p(double) throw();
 | |
|    double expm1(double) throw();
 | |
|    double cbrt(double) throw();
 | |
|    double erf(double) throw();
 | |
|    double erfc(double) throw();
 | |
|    double gamma(double) throw();
 | |
|    double lgam(double) throw();
 | |
| 
 | |
|    double iv(double, double) throw();
 | |
|    double jv(double, double) throw();
 | |
|    double jn(int, double) throw();
 | |
|    double kn(int, double) throw();
 | |
|    double yn(int, double) throw();
 | |
| 
 | |
|    double beta(double, double)throw();
 | |
|    double psi(double);
 | |
| 
 | |
|    double ellik(double, double);
 | |
|    double ellpk(double);
 | |
|    double ellie(double, double);
 | |
|    double ellpe(double);
 | |
| 
 | |
|    double ei(double);
 | |
|    // Can't get any sensible values from Cephes expn???
 | |
|    //double expn(double, double);
 | |
| 
 | |
|    double incbet(double, double, double);
 | |
|    double incbi(double, double, double);
 | |
| 
 | |
|    double igam(double, double);
 | |
|    double igamc(double, double);
 | |
|    double igami(double, double);
 | |
| 
 | |
|    double ellpj(double u, double m, double *sn, double *cn, double *dn, double *phi);
 | |
| 
 | |
|    double zetac(double);
 | |
| 
 | |
| }
 | |
| 
 | |
| inline double ellint_1(double k, double phi) { return ellik(phi, k * k); }
 | |
| inline double ellint_2(double k, double phi) { return ellie(phi, k * k); }
 | |
| inline double ellint_1(double k) { return ellpk(k * k); }
 | |
| inline double ellint_2(double k) { return ellpe(k * k); }
 | |
| 
 | |
| inline double sn(double k, double u)
 | |
| {
 | |
|    double sn, cn, dn, phi;
 | |
|    ellpj(u, k * k, &sn, &cn, &dn, &phi);
 | |
|    return sn;
 | |
| }
 | |
| inline double cn(double k, double u)
 | |
| {
 | |
|    double sn, cn, dn, phi;
 | |
|    ellpj(u, k * k, &sn, &cn, &dn, &phi);
 | |
|    return cn;
 | |
| }
 | |
| 
 | |
| inline double dn(double k, double u)
 | |
| {
 | |
|    double sn, cn, dn, phi;
 | |
|    ellpj(u, k * k, &sn, &cn, &dn, &phi);
 | |
|    return dn;
 | |
| }
 | |
| 
 | |
| #define LOG1P_FUNCTION_TO_TEST log1p
 | |
| #define EXPM1_FUNCTION_TO_TEST expm1
 | |
| 
 | |
| #define CBRT_FUNCTION_TO_TEST cbrt
 | |
| #define ERF_FUNCTION_TO_TEST erf
 | |
| #define ERFC_FUNCTION_TO_TEST erfc
 | |
| //#define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
 | |
| //#define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
 | |
| 
 | |
| #define LGAMMA_FUNCTION_TO_TEST lgam
 | |
| #define TGAMMA_FUNCTION_TO_TEST gamma
 | |
| //#define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
 | |
| 
 | |
| #define BESSEL_I_FUNCTION_TO_TEST iv
 | |
| #define BESSEL_IN_FUNCTION_TO_TEST iv
 | |
| //#define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
 | |
| //#define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
 | |
| #define BESSEL_J_FUNCTION_TO_TEST jv
 | |
| #define BESSEL_JN_FUNCTION_TO_TEST jn
 | |
| //#define BESSEL_JS_FUNCTION_TO_TEST boost::math::sph_bessel
 | |
| //#define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
 | |
| //#define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
 | |
| //#define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
 | |
| //#define BESSEL_K_FUNCTION_TO_TEST boost::math::cyl_bessel_k
 | |
| #define BESSEL_KN_FUNCTION_TO_TEST kn
 | |
| //#define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
 | |
| //#define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
 | |
| //#define BESSEL_Y_FUNCTION_TO_TEST boost::math::cyl_neumann
 | |
| #define BESSEL_YN_FUNCTION_TO_TEST yn
 | |
| //#define BESSEL_YS_FUNCTION_TO_TEST boost::math::sph_neumann
 | |
| //#define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
 | |
| //#define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
 | |
| //#define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
 | |
| 
 | |
| #define BETA_FUNCTION_TO_TEST beta
 | |
| //#define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
 | |
| 
 | |
| //#define ELLINT_RC_FUNCTION_TO_TEST boost::math::ellint_rc
 | |
| //#define ELLINT_RD_FUNCTION_TO_TEST boost::math::ellint_rd
 | |
| //#define ELLINT_RF_FUNCTION_TO_TEST boost::math::ellint_rf
 | |
| //#define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
 | |
| //#define ELLINT_RJ_FUNCTION_TO_TEST boost::math::ellint_rj
 | |
| 
 | |
| #define DIGAMMA_FUNCTION_TO_TEST psi
 | |
| 
 | |
| #define ELLINT_1_FUNCTION_TO_TEST ellint_1
 | |
| // Can't seem to get sensible answers from Cephes complete elliptic integrals???
 | |
| //#define ELLINT_1C_FUNCTION_TO_TEST ellint_1
 | |
| #define ELLINT_2_FUNCTION_TO_TEST ellint_2
 | |
| //#define ELLINT_2C_FUNCTION_TO_TEST ellint_2
 | |
| //#define ELLINT_3_FUNCTION_TO_TEST boost::math::ellint_3
 | |
| //#define ELLINT_3C_FUNCTION_TO_TEST boost::math::ellint_3
 | |
| //#define ELLINT_D2_FUNCTION_TO_TEST boost::math::ellint_d
 | |
| //#define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
 | |
| 
 | |
| #define EI_FUNCTION_TO_TEST ei
 | |
| //#define EN_FUNCTION_TO_TEST expn
 | |
| 
 | |
| //#define HERMITE_FUNCTION_TO_TEST boost::math::hermite
 | |
| //#define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
 | |
| 
 | |
| //#define BETA_INC_FUNCTION_TO_TEST incbet
 | |
| //#define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
 | |
| #define IBETA_FUNCTION_TO_TEST incbet
 | |
| //#define IBETAC_FUNCTION_TO_TEST boost::math::ibetac
 | |
| #define IBETA_INV_FUNCTION_TO_TEST incbi
 | |
| //#define IBETAC_INV_FUNCTION_TO_TEST boost::math::ibetac_inv
 | |
| //#define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
 | |
| //#define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
 | |
| //#define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
 | |
| //#define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
 | |
| 
 | |
| //#define IGAMMA_FUNCTION_TO_TEST boost::math::tgamma
 | |
| //#define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
 | |
| #define GAMMAP_FUNCTION_TO_TEST igam
 | |
| #define GAMMAQ_FUNCTION_TO_TEST igamc
 | |
| //#define GAMMAP_INV_FUNCTION_TO_TEST boost::math::gamma_p_inv
 | |
| #define GAMMAQ_INV_FUNCTION_TO_TEST igami
 | |
| //#define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
 | |
| //#define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
 | |
| 
 | |
| #define SN_FUNCTION_TO_TEST sn
 | |
| #define CN_FUNCTION_TO_TEST cn
 | |
| #define DN_FUNCTION_TO_TEST dn
 | |
| 
 | |
| #define ZETA_FUNCTION_TO_TEST zetac
 | |
| 
 | |
| #else
 | |
| 
 | |
| #include <boost/math/distributions/non_central_beta.hpp>
 | |
| #include <boost/math/distributions/non_central_chi_squared.hpp>
 | |
| #include <boost/math/distributions/non_central_t.hpp>
 | |
| 
 | |
| #define TEST_LIBRARY_NAME "boost"
 | |
| 
 | |
| #define LOG1P_FUNCTION_TO_TEST boost::math::log1p
 | |
| #define EXPM1_FUNCTION_TO_TEST boost::math::expm1
 | |
| 
 | |
| #define CBRT_FUNCTION_TO_TEST boost::math::cbrt
 | |
| #define ERF_FUNCTION_TO_TEST boost::math::erf
 | |
| #define ERFC_FUNCTION_TO_TEST boost::math::erfc
 | |
| #define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
 | |
| #define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
 | |
| 
 | |
| #define LGAMMA_FUNCTION_TO_TEST boost::math::lgamma
 | |
| #define TGAMMA_FUNCTION_TO_TEST boost::math::tgamma
 | |
| #define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
 | |
| 
 | |
| #define BESSEL_I_FUNCTION_TO_TEST boost::math::cyl_bessel_i
 | |
| #define BESSEL_IN_FUNCTION_TO_TEST boost::math::cyl_bessel_i
 | |
| #define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
 | |
| #define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
 | |
| #define BESSEL_J_FUNCTION_TO_TEST boost::math::cyl_bessel_j
 | |
| #define BESSEL_JN_FUNCTION_TO_TEST boost::math::cyl_bessel_j
 | |
| #define BESSEL_JS_FUNCTION_TO_TEST boost::math::sph_bessel
 | |
| #define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
 | |
| #define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
 | |
| #define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
 | |
| #define BESSEL_K_FUNCTION_TO_TEST boost::math::cyl_bessel_k
 | |
| #define BESSEL_KN_FUNCTION_TO_TEST boost::math::cyl_bessel_k
 | |
| #define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
 | |
| #define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
 | |
| #define BESSEL_Y_FUNCTION_TO_TEST boost::math::cyl_neumann
 | |
| #define BESSEL_YN_FUNCTION_TO_TEST boost::math::cyl_neumann
 | |
| #define BESSEL_YS_FUNCTION_TO_TEST boost::math::sph_neumann
 | |
| #define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
 | |
| #define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
 | |
| #define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
 | |
| 
 | |
| #define BETA_FUNCTION_TO_TEST boost::math::beta
 | |
| #define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
 | |
| 
 | |
| #define ELLINT_RC_FUNCTION_TO_TEST boost::math::ellint_rc
 | |
| #define ELLINT_RD_FUNCTION_TO_TEST boost::math::ellint_rd
 | |
| #define ELLINT_RF_FUNCTION_TO_TEST boost::math::ellint_rf
 | |
| #define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
 | |
| #define ELLINT_RJ_FUNCTION_TO_TEST boost::math::ellint_rj
 | |
| 
 | |
| #define DIGAMMA_FUNCTION_TO_TEST boost::math::digamma
 | |
| 
 | |
| #define ELLINT_1_FUNCTION_TO_TEST boost::math::ellint_1
 | |
| #define ELLINT_1C_FUNCTION_TO_TEST boost::math::ellint_1
 | |
| #define ELLINT_2_FUNCTION_TO_TEST boost::math::ellint_2
 | |
| #define ELLINT_2C_FUNCTION_TO_TEST boost::math::ellint_2
 | |
| #define ELLINT_3_FUNCTION_TO_TEST boost::math::ellint_3
 | |
| #define ELLINT_3C_FUNCTION_TO_TEST boost::math::ellint_3
 | |
| #define ELLINT_D2_FUNCTION_TO_TEST boost::math::ellint_d
 | |
| #define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
 | |
| 
 | |
| #define EI_FUNCTION_TO_TEST boost::math::expint
 | |
| #define EN_FUNCTION_TO_TEST boost::math::expint
 | |
| 
 | |
| #define HERMITE_FUNCTION_TO_TEST boost::math::hermite
 | |
| #define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
 | |
| 
 | |
| #define BETA_INC_FUNCTION_TO_TEST boost::math::beta
 | |
| #define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
 | |
| #define IBETA_FUNCTION_TO_TEST boost::math::ibeta
 | |
| #define IBETAC_FUNCTION_TO_TEST boost::math::ibetac
 | |
| #define IBETA_INV_FUNCTION_TO_TEST boost::math::ibeta_inv
 | |
| #define IBETAC_INV_FUNCTION_TO_TEST boost::math::ibetac_inv
 | |
| #define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
 | |
| #define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
 | |
| #define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
 | |
| #define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
 | |
| 
 | |
| #define IGAMMA_FUNCTION_TO_TEST boost::math::tgamma
 | |
| #define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
 | |
| #define GAMMAP_FUNCTION_TO_TEST boost::math::gamma_p
 | |
| #define GAMMAQ_FUNCTION_TO_TEST boost::math::gamma_q
 | |
| #define GAMMAP_INV_FUNCTION_TO_TEST boost::math::gamma_p_inv
 | |
| #define GAMMAQ_INV_FUNCTION_TO_TEST boost::math::gamma_q_inv
 | |
| #define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
 | |
| #define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
 | |
| 
 | |
| #define SN_FUNCTION_TO_TEST boost::math::jacobi_sn
 | |
| #define CN_FUNCTION_TO_TEST boost::math::jacobi_cn
 | |
| #define DN_FUNCTION_TO_TEST boost::math::jacobi_dn
 | |
| #define JACOBI_ZETA_FUNCTION_TO_TEST boost::math::jacobi_zeta
 | |
| 
 | |
| #define LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
 | |
| #define ASSOC_LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
 | |
| 
 | |
| #define LEGENDRE_P_FUNCTION_TO_TEST boost::math::legendre_p
 | |
| #define LEGENDRE_Q_FUNCTION_TO_TEST boost::math::legendre_q
 | |
| #define LEGENDRE_PA_FUNCTION_TO_TEST boost::math::legendre_p
 | |
| 
 | |
| #define POLYGAMMA_FUNCTION_TO_TEST boost::math::polygamma
 | |
| #define TGAMMA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_ratio
 | |
| #define TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_delta_ratio
 | |
| #define SIN_PI_RATIO_FUNCTION_TO_TEST boost::math::sin_pi
 | |
| #define COS_PI_RATIO_FUNCTION_TO_TEST boost::math::cos_pi
 | |
| #define TRIGAMMA_RATIO_FUNCTION_TO_TEST boost::math::trigamma
 | |
| #define ZETA_FUNCTION_TO_TEST boost::math::zeta
 | |
| 
 | |
| #define SQRT1PM1_FUNCTION_TO_TEST boost::math::sqrt1pm1
 | |
| #define POWM1_FUNCTION_TO_TEST boost::math::powm1
 | |
| #define OWENS_T_FUNCTION_TO_TEST boost::math::owens_t
 | |
| #define SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST boost::math::spherical_harmonic_r
 | |
| #define SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST boost::math::spherical_harmonic_i
 | |
| 
 | |
| template <class T> T do_nc_beta_cdf(T a, T b, T nc, T x){ return cdf(boost::math::non_central_beta_distribution<T>(a, b, nc), x); }
 | |
| template <class T> T do_nc_beta_ccdf(T a, T b, T nc, T x){ return cdf(complement(boost::math::non_central_beta_distribution<T>(a, b, nc), x)); }
 | |
| template <class T> T do_nc_chi_squared_cdf(T df, T nc, T x){ return cdf(boost::math::non_central_chi_squared_distribution<T>(df, nc), x); }
 | |
| template <class T> T do_nc_chi_squared_ccdf(T df, T nc, T x){ return cdf(complement(boost::math::non_central_chi_squared_distribution<T>(df, nc), x)); }
 | |
| template <class T> T do_nc_t_cdf(T df, T nc, T x){ return cdf(boost::math::non_central_t_distribution<T>(df, nc), x); }
 | |
| template <class T> T do_nc_t_ccdf(T df, T nc, T x){ return cdf(complement(boost::math::non_central_t_distribution<T>(df, nc), x)); }
 | |
| 
 | |
| #define NC_BETA_CDF_FUNCTION_TO_TEST do_nc_beta_cdf
 | |
| #define NC_BETA_CCDF_FUNCTION_TO_TEST do_nc_beta_ccdf
 | |
| #define NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST do_nc_chi_squared_cdf
 | |
| #define NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST do_nc_chi_squared_ccdf
 | |
| #define NC_T_CDF_FUNCTION_TO_TEST do_nc_t_cdf
 | |
| #define NC_T_CCDF_FUNCTION_TO_TEST do_nc_t_ccdf
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| 
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| 
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| #endif
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| 
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| #if defined(TYPE_TO_TEST) && !defined(NAME_OF_TYPE_TO_TEST)
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| #define NAME_OF_TYPE_TO_TEST BOOST_STRINGIZE(TYPE_TO_TEST)
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| #endif
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| 
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| //
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| // This include has to come at the end after all the setup is done:
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| //
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| #include "handle_test_result.hpp"
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| 
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| 
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| #endif
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| 
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