#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "VandenBroeck and Keller, Equation (20)";

double f_if(float f) {
        float r20864 = 1;
        float r20865 = atan2(1.0, 0.0);
        float r20866 = 4;
        float r20867 = r20865 / r20866;
        float r20868 = r20864 / r20867;
        float r20869 = f;
        float r20870 = r20867 * r20869;
        float r20871 = exp(r20870);
        float r20872 = -r20870;
        float r20873 = exp(r20872);
        float r20874 = r20871 + r20873;
        float r20875 = r20871 - r20873;
        float r20876 = r20874 / r20875;
        float r20877 = log(r20876);
        float r20878 = r20868 * r20877;
        float r20879 = -r20878;
        return r20879;
}

double f_id(double f) {
        double r20880 = 1;
        double r20881 = atan2(1.0, 0.0);
        double r20882 = 4;
        double r20883 = r20881 / r20882;
        double r20884 = r20880 / r20883;
        double r20885 = f;
        double r20886 = r20883 * r20885;
        double r20887 = exp(r20886);
        double r20888 = -r20886;
        double r20889 = exp(r20888);
        double r20890 = r20887 + r20889;
        double r20891 = r20887 - r20889;
        double r20892 = r20890 / r20891;
        double r20893 = log(r20892);
        double r20894 = r20884 * r20893;
        double r20895 = -r20894;
        return r20895;
}


double f_of(float f) {
        float r20896 = atan2(1.0, 0.0);
        float r20897 = f;
        float r20898 = r20896 * r20897;
        float r20899 = 4;
        float r20900 = r20898 / r20899;
        float r20901 = exp(r20900);
        float r20902 = r20896 / r20899;
        float r20903 = -r20897;
        float r20904 = r20902 * r20903;
        float r20905 = exp(r20904);
        float r20906 = r20901 + r20905;
        float r20907 = r20897 * r20897;
        float r20908 = 1/192;
        float r20909 = r20897 * r20908;
        float r20910 = r20907 * r20909;
        float r20911 = r20896 * r20896;
        float r20912 = 1/2;
        float r20913 = r20897 * r20912;
        float r20914 = fma(r20910, r20911, r20913);
        float r20915 = 5;
        float r20916 = pow(r20896, r20915);
        float r20917 = 1/61440;
        float r20918 = r20916 * r20917;
        float r20919 = pow(r20897, r20915);
        float r20920 = r20918 * r20919;
        float r20921 = fma(r20896, r20914, r20920);
        float r20922 = r20906 / r20921;
        float r20923 = cbrt(r20922);
        float r20924 = log(r20923);
        float r20925 = r20899 / r20896;
        float r20926 = 2;
        float r20927 = -r20926;
        float r20928 = r20925 * r20927;
        float r20929 = r20924 * r20928;
        float r20930 = -r20925;
        float r20931 = r20903 / r20925;
        float r20932 = exp(r20931);
        float r20933 = r20902 * r20897;
        float r20934 = exp(r20933);
        float r20935 = r20932 + r20934;
        float r20936 = r20916 * r20919;
        float r20937 = r20917 * r20936;
        float r20938 = fma(r20896, r20914, r20937);
        float r20939 = r20935 / r20938;
        float r20940 = cbrt(r20939);
        float r20941 = log(r20940);
        float r20942 = r20930 * r20941;
        float r20943 = r20929 + r20942;
        return r20943;
}

double f_od(double f) {
        double r20944 = atan2(1.0, 0.0);
        double r20945 = f;
        double r20946 = r20944 * r20945;
        double r20947 = 4;
        double r20948 = r20946 / r20947;
        double r20949 = exp(r20948);
        double r20950 = r20944 / r20947;
        double r20951 = -r20945;
        double r20952 = r20950 * r20951;
        double r20953 = exp(r20952);
        double r20954 = r20949 + r20953;
        double r20955 = r20945 * r20945;
        double r20956 = 1/192;
        double r20957 = r20945 * r20956;
        double r20958 = r20955 * r20957;
        double r20959 = r20944 * r20944;
        double r20960 = 1/2;
        double r20961 = r20945 * r20960;
        double r20962 = fma(r20958, r20959, r20961);
        double r20963 = 5;
        double r20964 = pow(r20944, r20963);
        double r20965 = 1/61440;
        double r20966 = r20964 * r20965;
        double r20967 = pow(r20945, r20963);
        double r20968 = r20966 * r20967;
        double r20969 = fma(r20944, r20962, r20968);
        double r20970 = r20954 / r20969;
        double r20971 = cbrt(r20970);
        double r20972 = log(r20971);
        double r20973 = r20947 / r20944;
        double r20974 = 2;
        double r20975 = -r20974;
        double r20976 = r20973 * r20975;
        double r20977 = r20972 * r20976;
        double r20978 = -r20973;
        double r20979 = r20951 / r20973;
        double r20980 = exp(r20979);
        double r20981 = r20950 * r20945;
        double r20982 = exp(r20981);
        double r20983 = r20980 + r20982;
        double r20984 = r20964 * r20967;
        double r20985 = r20965 * r20984;
        double r20986 = fma(r20944, r20962, r20985);
        double r20987 = r20983 / r20986;
        double r20988 = cbrt(r20987);
        double r20989 = log(r20988);
        double r20990 = r20978 * r20989;
        double r20991 = r20977 + r20990;
        return r20991;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r20992, r20993, r20994, r20995, r20996, r20997, r20998, r20999, r21000, r21001, r21002, r21003, r21004, r21005, r21006, r21007;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r20992, "1", 10, MPFR_RNDN);
        mpfr_init(r20993);
        mpfr_init_set_str(r20994, "4", 10, MPFR_RNDN);
        mpfr_init(r20995);
        mpfr_init(r20996);
        mpfr_init(r20997);
        mpfr_init(r20998);
        mpfr_init(r20999);
        mpfr_init(r21000);
        mpfr_init(r21001);
        mpfr_init(r21002);
        mpfr_init(r21003);
        mpfr_init(r21004);
        mpfr_init(r21005);
        mpfr_init(r21006);
        mpfr_init(r21007);
}

double f_im(double f) {
        ;
        mpfr_const_pi(r20993, MPFR_RNDN);
        ;
        mpfr_div(r20995, r20993, r20994, MPFR_RNDN);
        mpfr_div(r20996, r20992, r20995, MPFR_RNDN);
        mpfr_set_d(r20997, f, MPFR_RNDN);
        mpfr_mul(r20998, r20995, r20997, MPFR_RNDN);
        mpfr_exp(r20999, r20998, MPFR_RNDN);
        mpfr_neg(r21000, r20998, MPFR_RNDN);
        mpfr_exp(r21001, r21000, MPFR_RNDN);
        mpfr_add(r21002, r20999, r21001, MPFR_RNDN);
        mpfr_sub(r21003, r20999, r21001, MPFR_RNDN);
        mpfr_div(r21004, r21002, r21003, MPFR_RNDN);
        mpfr_log(r21005, r21004, MPFR_RNDN);
        mpfr_mul(r21006, r20996, r21005, MPFR_RNDN);
        mpfr_neg(r21007, r21006, MPFR_RNDN);
        return mpfr_get_d(r21007, MPFR_RNDN);
}

static mpfr_t r21008, r21009, r21010, r21011, r21012, r21013, r21014, r21015, r21016, r21017, r21018, r21019, r21020, r21021, r21022, r21023, r21024, r21025, r21026, r21027, r21028, r21029, r21030, r21031, r21032, r21033, r21034, r21035, r21036, r21037, r21038, r21039, r21040, r21041, r21042, r21043, r21044, r21045, r21046, r21047, r21048, r21049, r21050, r21051, r21052, r21053, r21054, r21055;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21008);
        mpfr_init(r21009);
        mpfr_init(r21010);
        mpfr_init_set_str(r21011, "4", 10, MPFR_RNDN);
        mpfr_init(r21012);
        mpfr_init(r21013);
        mpfr_init(r21014);
        mpfr_init(r21015);
        mpfr_init(r21016);
        mpfr_init(r21017);
        mpfr_init(r21018);
        mpfr_init(r21019);
        mpfr_init_set_str(r21020, "1/192", 10, MPFR_RNDN);
        mpfr_init(r21021);
        mpfr_init(r21022);
        mpfr_init(r21023);
        mpfr_init_set_str(r21024, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21025);
        mpfr_init(r21026);
        mpfr_init_set_str(r21027, "5", 10, MPFR_RNDN);
        mpfr_init(r21028);
        mpfr_init_set_str(r21029, "1/61440", 10, MPFR_RNDN);
        mpfr_init(r21030);
        mpfr_init(r21031);
        mpfr_init(r21032);
        mpfr_init(r21033);
        mpfr_init(r21034);
        mpfr_init(r21035);
        mpfr_init(r21036);
        mpfr_init(r21037);
        mpfr_init_set_str(r21038, "2", 10, MPFR_RNDN);
        mpfr_init(r21039);
        mpfr_init(r21040);
        mpfr_init(r21041);
        mpfr_init(r21042);
        mpfr_init(r21043);
        mpfr_init(r21044);
        mpfr_init(r21045);
        mpfr_init(r21046);
        mpfr_init(r21047);
        mpfr_init(r21048);
        mpfr_init(r21049);
        mpfr_init(r21050);
        mpfr_init(r21051);
        mpfr_init(r21052);
        mpfr_init(r21053);
        mpfr_init(r21054);
        mpfr_init(r21055);
}

double f_fm(double f) {
        mpfr_const_pi(r21008, MPFR_RNDN);
        mpfr_set_d(r21009, f, MPFR_RNDN);
        mpfr_mul(r21010, r21008, r21009, MPFR_RNDN);
        ;
        mpfr_div(r21012, r21010, r21011, MPFR_RNDN);
        mpfr_exp(r21013, r21012, MPFR_RNDN);
        mpfr_div(r21014, r21008, r21011, MPFR_RNDN);
        mpfr_neg(r21015, r21009, MPFR_RNDN);
        mpfr_mul(r21016, r21014, r21015, MPFR_RNDN);
        mpfr_exp(r21017, r21016, MPFR_RNDN);
        mpfr_add(r21018, r21013, r21017, MPFR_RNDN);
        mpfr_mul(r21019, r21009, r21009, MPFR_RNDN);
        ;
        mpfr_mul(r21021, r21009, r21020, MPFR_RNDN);
        mpfr_mul(r21022, r21019, r21021, MPFR_RNDN);
        mpfr_mul(r21023, r21008, r21008, MPFR_RNDN);
        ;
        mpfr_mul(r21025, r21009, r21024, MPFR_RNDN);
        mpfr_fma(r21026, r21022, r21023, r21025, MPFR_RNDN);
        ;
        mpfr_pow(r21028, r21008, r21027, MPFR_RNDN);
        ;
        mpfr_mul(r21030, r21028, r21029, MPFR_RNDN);
        mpfr_pow(r21031, r21009, r21027, MPFR_RNDN);
        mpfr_mul(r21032, r21030, r21031, MPFR_RNDN);
        mpfr_fma(r21033, r21008, r21026, r21032, MPFR_RNDN);
        mpfr_div(r21034, r21018, r21033, MPFR_RNDN);
        mpfr_cbrt(r21035, r21034, MPFR_RNDN);
        mpfr_log(r21036, r21035, MPFR_RNDN);
        mpfr_div(r21037, r21011, r21008, MPFR_RNDN);
        ;
        mpfr_neg(r21039, r21038, MPFR_RNDN);
        mpfr_mul(r21040, r21037, r21039, MPFR_RNDN);
        mpfr_mul(r21041, r21036, r21040, MPFR_RNDN);
        mpfr_neg(r21042, r21037, MPFR_RNDN);
        mpfr_div(r21043, r21015, r21037, MPFR_RNDN);
        mpfr_exp(r21044, r21043, MPFR_RNDN);
        mpfr_mul(r21045, r21014, r21009, MPFR_RNDN);
        mpfr_exp(r21046, r21045, MPFR_RNDN);
        mpfr_add(r21047, r21044, r21046, MPFR_RNDN);
        mpfr_mul(r21048, r21028, r21031, MPFR_RNDN);
        mpfr_mul(r21049, r21029, r21048, MPFR_RNDN);
        mpfr_fma(r21050, r21008, r21026, r21049, MPFR_RNDN);
        mpfr_div(r21051, r21047, r21050, MPFR_RNDN);
        mpfr_cbrt(r21052, r21051, MPFR_RNDN);
        mpfr_log(r21053, r21052, MPFR_RNDN);
        mpfr_mul(r21054, r21042, r21053, MPFR_RNDN);
        mpfr_add(r21055, r21041, r21054, MPFR_RNDN);
        return mpfr_get_d(r21055, MPFR_RNDN);
}

static mpfr_t r21056, r21057, r21058, r21059, r21060, r21061, r21062, r21063, r21064, r21065, r21066, r21067, r21068, r21069, r21070, r21071, r21072, r21073, r21074, r21075, r21076, r21077, r21078, r21079, r21080, r21081, r21082, r21083, r21084, r21085, r21086, r21087, r21088, r21089, r21090, r21091, r21092, r21093, r21094, r21095, r21096, r21097, r21098, r21099, r21100, r21101, r21102, r21103;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21056);
        mpfr_init(r21057);
        mpfr_init(r21058);
        mpfr_init_set_str(r21059, "4", 10, MPFR_RNDN);
        mpfr_init(r21060);
        mpfr_init(r21061);
        mpfr_init(r21062);
        mpfr_init(r21063);
        mpfr_init(r21064);
        mpfr_init(r21065);
        mpfr_init(r21066);
        mpfr_init(r21067);
        mpfr_init_set_str(r21068, "1/192", 10, MPFR_RNDN);
        mpfr_init(r21069);
        mpfr_init(r21070);
        mpfr_init(r21071);
        mpfr_init_set_str(r21072, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21073);
        mpfr_init(r21074);
        mpfr_init_set_str(r21075, "5", 10, MPFR_RNDN);
        mpfr_init(r21076);
        mpfr_init_set_str(r21077, "1/61440", 10, MPFR_RNDN);
        mpfr_init(r21078);
        mpfr_init(r21079);
        mpfr_init(r21080);
        mpfr_init(r21081);
        mpfr_init(r21082);
        mpfr_init(r21083);
        mpfr_init(r21084);
        mpfr_init(r21085);
        mpfr_init_set_str(r21086, "2", 10, MPFR_RNDN);
        mpfr_init(r21087);
        mpfr_init(r21088);
        mpfr_init(r21089);
        mpfr_init(r21090);
        mpfr_init(r21091);
        mpfr_init(r21092);
        mpfr_init(r21093);
        mpfr_init(r21094);
        mpfr_init(r21095);
        mpfr_init(r21096);
        mpfr_init(r21097);
        mpfr_init(r21098);
        mpfr_init(r21099);
        mpfr_init(r21100);
        mpfr_init(r21101);
        mpfr_init(r21102);
        mpfr_init(r21103);
}

double f_dm(double f) {
        mpfr_const_pi(r21056, MPFR_RNDN);
        mpfr_set_d(r21057, f, MPFR_RNDN);
        mpfr_mul(r21058, r21056, r21057, MPFR_RNDN);
        ;
        mpfr_div(r21060, r21058, r21059, MPFR_RNDN);
        mpfr_exp(r21061, r21060, MPFR_RNDN);
        mpfr_div(r21062, r21056, r21059, MPFR_RNDN);
        mpfr_neg(r21063, r21057, MPFR_RNDN);
        mpfr_mul(r21064, r21062, r21063, MPFR_RNDN);
        mpfr_exp(r21065, r21064, MPFR_RNDN);
        mpfr_add(r21066, r21061, r21065, MPFR_RNDN);
        mpfr_mul(r21067, r21057, r21057, MPFR_RNDN);
        ;
        mpfr_mul(r21069, r21057, r21068, MPFR_RNDN);
        mpfr_mul(r21070, r21067, r21069, MPFR_RNDN);
        mpfr_mul(r21071, r21056, r21056, MPFR_RNDN);
        ;
        mpfr_mul(r21073, r21057, r21072, MPFR_RNDN);
        mpfr_fma(r21074, r21070, r21071, r21073, MPFR_RNDN);
        ;
        mpfr_pow(r21076, r21056, r21075, MPFR_RNDN);
        ;
        mpfr_mul(r21078, r21076, r21077, MPFR_RNDN);
        mpfr_pow(r21079, r21057, r21075, MPFR_RNDN);
        mpfr_mul(r21080, r21078, r21079, MPFR_RNDN);
        mpfr_fma(r21081, r21056, r21074, r21080, MPFR_RNDN);
        mpfr_div(r21082, r21066, r21081, MPFR_RNDN);
        mpfr_cbrt(r21083, r21082, MPFR_RNDN);
        mpfr_log(r21084, r21083, MPFR_RNDN);
        mpfr_div(r21085, r21059, r21056, MPFR_RNDN);
        ;
        mpfr_neg(r21087, r21086, MPFR_RNDN);
        mpfr_mul(r21088, r21085, r21087, MPFR_RNDN);
        mpfr_mul(r21089, r21084, r21088, MPFR_RNDN);
        mpfr_neg(r21090, r21085, MPFR_RNDN);
        mpfr_div(r21091, r21063, r21085, MPFR_RNDN);
        mpfr_exp(r21092, r21091, MPFR_RNDN);
        mpfr_mul(r21093, r21062, r21057, MPFR_RNDN);
        mpfr_exp(r21094, r21093, MPFR_RNDN);
        mpfr_add(r21095, r21092, r21094, MPFR_RNDN);
        mpfr_mul(r21096, r21076, r21079, MPFR_RNDN);
        mpfr_mul(r21097, r21077, r21096, MPFR_RNDN);
        mpfr_fma(r21098, r21056, r21074, r21097, MPFR_RNDN);
        mpfr_div(r21099, r21095, r21098, MPFR_RNDN);
        mpfr_cbrt(r21100, r21099, MPFR_RNDN);
        mpfr_log(r21101, r21100, MPFR_RNDN);
        mpfr_mul(r21102, r21090, r21101, MPFR_RNDN);
        mpfr_add(r21103, r21089, r21102, MPFR_RNDN);
        return mpfr_get_d(r21103, MPFR_RNDN);
}