// Copyright John Maddock 2007. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) #include "required_defines.hpp" #include "performance_measure.hpp" #include double probabilities[] = { 1e-5, 1e-4, 1e-3, 1e-2, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.95, 1-1e-5, 1-1e-4, 1-1e-3, 1-1e-2 }; int int_values[] = { 1, 2, 3, 5, 10, 20, 50, 100, 1000, 10000, 100000 }; int small_int_values[] = { 1, 2, 3, 5, 10, 15, 20, 30, 50, 100, 150 }; double real_values[] = { 1e-5, 1e-4, 1e-2, 1e-1, 1, 10, 100, 1000, 10000, 100000 }; #define BOOST_MATH_DISTRIBUTION3_TEST(name, param1_table, param2_table, param3_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" BOOST_STRINGIZE(name) "-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(param3_table)/sizeof(param3_table[0]);\ unsigned d_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ for(unsigned l = 0; l < d_size; ++l)\ {\ result += cdf(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i], param2_table[j], param3_table[k]), random_variable_table[l]);\ }\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size * d_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_pdf_, name), "dist-" BOOST_STRINGIZE(name) "-pdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(param3_table)/sizeof(param3_table[0]);\ unsigned d_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ for(unsigned l = 0; l < d_size; ++l)\ {\ result += pdf(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i], param2_table[j], param3_table[k]), random_variable_table[l]);\ }\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size * d_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" BOOST_STRINGIZE(name) "-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(param3_table)/sizeof(param3_table[0]);\ unsigned d_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ for(unsigned l = 0; l < d_size; ++l)\ {\ result += quantile(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i], param2_table[j], param3_table[k]), probability_table[l]);\ }\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size * d_size);\ } #define BOOST_MATH_DISTRIBUTION2_TEST(name, param1_table, param2_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" BOOST_STRINGIZE(name) "-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += cdf(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i], param2_table[j]), random_variable_table[k]);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_pdf_, name), "dist-" BOOST_STRINGIZE(name) "-pdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += pdf(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i], param2_table[j]), random_variable_table[k]);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" BOOST_STRINGIZE(name) "-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += quantile(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i], param2_table[j]), probability_table[k]);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ } #define BOOST_MATH_DISTRIBUTION1_TEST(name, param1_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" BOOST_STRINGIZE(name) "-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += cdf(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i]), random_variable_table[k]);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_pdf_, name), "dist-" BOOST_STRINGIZE(name) "-pdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += pdf(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i]), random_variable_table[k]);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" BOOST_STRINGIZE(name) "-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += quantile(boost::math:: BOOST_JOIN(name, _distribution) <>(param1_table[i]), probability_table[k]);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ } BOOST_MATH_DISTRIBUTION2_TEST(beta, probabilities, probabilities, probabilities, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(binomial, int_values, probabilities, int_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(cauchy, int_values, real_values, int_values, probabilities) BOOST_MATH_DISTRIBUTION1_TEST(chi_squared, int_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION1_TEST(exponential, real_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(fisher_f, int_values, int_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(gamma, real_values, real_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(lognormal, real_values, real_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(negative_binomial, int_values, probabilities, int_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(normal, real_values, real_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION1_TEST(poisson, real_values, int_values, probabilities) BOOST_MATH_DISTRIBUTION1_TEST(students_t, int_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(weibull, real_values, real_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(non_central_chi_squared, int_values, int_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION3_TEST(non_central_beta, int_values, int_values, real_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION3_TEST(non_central_f, int_values, int_values, real_values, real_values, probabilities) BOOST_MATH_DISTRIBUTION2_TEST(non_central_t, int_values, small_int_values, real_values, probabilities) #ifdef TEST_R #define MATHLIB_STANDALONE 1 extern "C" { #include "Rmath.h" /* double qnchisq(double, double, double, int, int) { return 0; } */ } #define BOOST_MATH_R_DISTRIBUTION3_TEST(name, param1_table, param2_table, param3_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" #name "-R-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(param3_table)/sizeof(param3_table[0]);\ unsigned d_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ for(unsigned l = 0; l < d_size; ++l)\ {\ result += p##name (random_variable_table[l], param1_table[i], param2_table[j], param3_table[k], 1, 0);\ }\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size * d_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_pdf_, name), "dist-" #name "-R-pdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(param3_table)/sizeof(param3_table[0]);\ unsigned d_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ for(unsigned l = 0; l < d_size; ++l)\ {\ result += d##name (random_variable_table[l], param1_table[i], param2_table[j], param3_table[k], 0);\ }\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size * d_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" #name "-R-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(param3_table)/sizeof(param3_table[0]);\ unsigned d_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ for(unsigned l = 0; l < d_size; ++l)\ {\ result += q##name (probability_table[l], param1_table[i], param2_table[j], param3_table[k], 1, 0);\ }\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size * d_size);\ } #define BOOST_MATH_R_DISTRIBUTION2_TEST(name, param1_table, param2_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" #name "-R-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += p##name (random_variable_table[k], param1_table[i], param2_table[j], 1, 0);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_pdf_, name), "dist-" #name "-R-pdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += d##name (random_variable_table[k], param1_table[i], param2_table[j], 0);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" #name "-R-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += q##name (probability_table[k], param1_table[i], param2_table[j], 1, 0);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ } #define BOOST_MATH_R_DISTRIBUTION1_TEST(name, param1_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" #name "-R-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += p##name (random_variable_table[k], param1_table[i], 1, 0);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_pdf_, name), "dist-" #name "-R-pdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += d##name (random_variable_table[k], param1_table[i], 0);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" #name "-R-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += q##name (probability_table[k], param1_table[i], 1, 0);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ } BOOST_MATH_R_DISTRIBUTION2_TEST(beta, probabilities, probabilities, probabilities, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(binom, int_values, probabilities, int_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(cauchy, int_values, real_values, int_values, probabilities) BOOST_MATH_R_DISTRIBUTION1_TEST(chisq, int_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION1_TEST(exp, real_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(f, int_values, int_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(gamma, real_values, real_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(lnorm, real_values, real_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(nbinom, int_values, probabilities, int_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(norm, real_values, real_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION1_TEST(pois, real_values, int_values, probabilities) BOOST_MATH_R_DISTRIBUTION1_TEST(t, int_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(weibull, real_values, real_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(nchisq, int_values, int_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION3_TEST(nf, int_values, int_values, real_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION3_TEST(nbeta, int_values, int_values, real_values, real_values, probabilities) BOOST_MATH_R_DISTRIBUTION2_TEST(nt, int_values, small_int_values, real_values, probabilities) #endif #ifdef TEST_CEPHES extern "C"{ double bdtr(int k, int n, double p); double bdtri(int k, int n, double p); double chdtr(double df, double x); double chdtri(double df, double p); double fdtr(int k, int n, double p); double fdtri(int k, int n, double p); double nbdtr(int k, int n, double p); double nbdtri(int k, int n, double p); } #define BOOST_MATH_CEPHES_DISTRIBUTION2_TEST(name, param1_table, param2_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" #name "-cephes-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += name##dtr (param1_table[i], param2_table[j], random_variable_table[k]);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" #name "-cephes-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned b_size = sizeof(param2_table)/sizeof(param2_table[0]);\ unsigned c_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned j = 0; j < b_size; ++j)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += name##dtri (param1_table[i], param2_table[j], probability_table[k]);\ }\ }\ }\ \ consume_result(result);\ set_call_count(a_size * b_size * c_size);\ } #define BOOST_MATH_CEPHES_DISTRIBUTION1_TEST(name, param1_table, random_variable_table, probability_table) \ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist, name), "dist-" #name "-cephes-cdf")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(random_variable_table)/sizeof(random_variable_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += name##dtr (param1_table[i], random_variable_table[k]);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ }\ BOOST_MATH_PERFORMANCE_TEST(BOOST_JOIN(dist_quant, name), "dist-" #name "-cephes-quantile")\ {\ double result = 0;\ unsigned a_size = sizeof(param1_table)/sizeof(param1_table[0]);\ unsigned c_size = sizeof(probability_table)/sizeof(probability_table[0]);\ \ for(unsigned i = 0; i < a_size; ++i)\ {\ for(unsigned k = 0; k < c_size; ++k)\ {\ result += name##dtri (param1_table[i], probability_table[k]);\ }\ }\ \ consume_result(result);\ set_call_count(a_size * c_size);\ } // Cephes inverse doesn't actually calculate the quantile!!! // BOOST_MATH_CEPHES_DISTRIBUTION2_TEST(b, int_values, int_values, probabilities, probabilities) BOOST_MATH_CEPHES_DISTRIBUTION1_TEST(ch, int_values, real_values, probabilities) BOOST_MATH_CEPHES_DISTRIBUTION2_TEST(f, int_values, int_values, real_values, probabilities) // Cephes inverse doesn't calculate the quantile!!! // BOOST_MATH_CEPHES_DISTRIBUTION2_TEST(nb, int_values, int_values, probabilities, probabilities) #endif