#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 r20845 = 1;
        float r20846 = atan2(1.0, 0.0);
        float r20847 = 4;
        float r20848 = r20846 / r20847;
        float r20849 = r20845 / r20848;
        float r20850 = f;
        float r20851 = r20848 * r20850;
        float r20852 = exp(r20851);
        float r20853 = -r20851;
        float r20854 = exp(r20853);
        float r20855 = r20852 + r20854;
        float r20856 = r20852 - r20854;
        float r20857 = r20855 / r20856;
        float r20858 = log(r20857);
        float r20859 = r20849 * r20858;
        float r20860 = -r20859;
        return r20860;
}

double f_id(double f) {
        double r20861 = 1;
        double r20862 = atan2(1.0, 0.0);
        double r20863 = 4;
        double r20864 = r20862 / r20863;
        double r20865 = r20861 / r20864;
        double r20866 = f;
        double r20867 = r20864 * r20866;
        double r20868 = exp(r20867);
        double r20869 = -r20867;
        double r20870 = exp(r20869);
        double r20871 = r20868 + r20870;
        double r20872 = r20868 - r20870;
        double r20873 = r20871 / r20872;
        double r20874 = log(r20873);
        double r20875 = r20865 * r20874;
        double r20876 = -r20875;
        return r20876;
}


double f_of(float f) {
        float r20877 = atan2(1.0, 0.0);
        float r20878 = 4;
        float r20879 = r20877 / r20878;
        float r20880 = f;
        float r20881 = r20879 * r20880;
        float r20882 = 0.04419439170710976;
        bool r20883 = r20881 <= r20882;
        float r20884 = 1/12;
        float r20885 = r20880 * r20884;
        float r20886 = r20885 * r20880;
        float r20887 = 7/5760;
        float r20888 = pow(r20880, r20878);
        float r20889 = r20887 * r20888;
        float r20890 = r20877 * r20877;
        float r20891 = r20889 * r20890;
        float r20892 = r20886 - r20891;
        float r20893 = r20878 / r20877;
        float r20894 = log(r20893);
        float r20895 = r20878 * r20894;
        float r20896 = log(r20880);
        float r20897 = r20878 * r20896;
        float r20898 = r20895 - r20897;
        float r20899 = r20898 / r20877;
        float r20900 = fma(r20877, r20892, r20899);
        float r20901 = -r20900;
        float r20902 = -r20880;
        float r20903 = r20902 * r20879;
        float r20904 = exp(r20903);
        float r20905 = r20880 * r20877;
        float r20906 = r20905 / r20878;
        float r20907 = exp(r20906);
        float r20908 = r20904 + r20907;
        float r20909 = r20907 - r20904;
        float r20910 = r20908 / r20909;
        float r20911 = log(r20910);
        float r20912 = r20911 / r20879;
        float r20913 = expm1(r20912);
        float r20914 = log1p(r20913);
        float r20915 = -r20914;
        float r20916 = r20883 ? r20901 : r20915;
        return r20916;
}

double f_od(double f) {
        double r20917 = atan2(1.0, 0.0);
        double r20918 = 4;
        double r20919 = r20917 / r20918;
        double r20920 = f;
        double r20921 = r20919 * r20920;
        double r20922 = 0.04419439170710976;
        bool r20923 = r20921 <= r20922;
        double r20924 = 1/12;
        double r20925 = r20920 * r20924;
        double r20926 = r20925 * r20920;
        double r20927 = 7/5760;
        double r20928 = pow(r20920, r20918);
        double r20929 = r20927 * r20928;
        double r20930 = r20917 * r20917;
        double r20931 = r20929 * r20930;
        double r20932 = r20926 - r20931;
        double r20933 = r20918 / r20917;
        double r20934 = log(r20933);
        double r20935 = r20918 * r20934;
        double r20936 = log(r20920);
        double r20937 = r20918 * r20936;
        double r20938 = r20935 - r20937;
        double r20939 = r20938 / r20917;
        double r20940 = fma(r20917, r20932, r20939);
        double r20941 = -r20940;
        double r20942 = -r20920;
        double r20943 = r20942 * r20919;
        double r20944 = exp(r20943);
        double r20945 = r20920 * r20917;
        double r20946 = r20945 / r20918;
        double r20947 = exp(r20946);
        double r20948 = r20944 + r20947;
        double r20949 = r20947 - r20944;
        double r20950 = r20948 / r20949;
        double r20951 = log(r20950);
        double r20952 = r20951 / r20919;
        double r20953 = expm1(r20952);
        double r20954 = log1p(r20953);
        double r20955 = -r20954;
        double r20956 = r20923 ? r20941 : r20955;
        return r20956;
}

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 r20957, r20958, r20959, r20960, r20961, r20962, r20963, r20964, r20965, r20966, r20967, r20968, r20969, r20970, r20971, r20972;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r20957, "1", 10, MPFR_RNDN);
        mpfr_init(r20958);
        mpfr_init_set_str(r20959, "4", 10, MPFR_RNDN);
        mpfr_init(r20960);
        mpfr_init(r20961);
        mpfr_init(r20962);
        mpfr_init(r20963);
        mpfr_init(r20964);
        mpfr_init(r20965);
        mpfr_init(r20966);
        mpfr_init(r20967);
        mpfr_init(r20968);
        mpfr_init(r20969);
        mpfr_init(r20970);
        mpfr_init(r20971);
        mpfr_init(r20972);
}

double f_im(double f) {
        ;
        mpfr_const_pi(r20958, MPFR_RNDN);
        ;
        mpfr_div(r20960, r20958, r20959, MPFR_RNDN);
        mpfr_div(r20961, r20957, r20960, MPFR_RNDN);
        mpfr_set_d(r20962, f, MPFR_RNDN);
        mpfr_mul(r20963, r20960, r20962, MPFR_RNDN);
        mpfr_exp(r20964, r20963, MPFR_RNDN);
        mpfr_neg(r20965, r20963, MPFR_RNDN);
        mpfr_exp(r20966, r20965, MPFR_RNDN);
        mpfr_add(r20967, r20964, r20966, MPFR_RNDN);
        mpfr_sub(r20968, r20964, r20966, MPFR_RNDN);
        mpfr_div(r20969, r20967, r20968, MPFR_RNDN);
        mpfr_log(r20970, r20969, MPFR_RNDN);
        mpfr_mul(r20971, r20961, r20970, MPFR_RNDN);
        mpfr_neg(r20972, r20971, MPFR_RNDN);
        return mpfr_get_d(r20972, MPFR_RNDN);
}

static mpfr_t r20973, r20974, r20975, r20976, r20977, r20978, r20979, r20980, r20981, r20982, r20983, r20984, r20985, r20986, r20987, r20988, r20989, r20990, r20991, r20992, r20993, r20994, r20995, r20996, r20997, r20998, r20999, r21000, r21001, r21002, r21003, r21004, r21005, r21006, r21007, r21008, r21009, r21010, r21011, r21012;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20973);
        mpfr_init_set_str(r20974, "4", 10, MPFR_RNDN);
        mpfr_init(r20975);
        mpfr_init(r20976);
        mpfr_init(r20977);
        mpfr_init_set_str(r20978, "0.04419439170710976", 10, MPFR_RNDN);
        mpfr_init(r20979);
        mpfr_init_set_str(r20980, "1/12", 10, MPFR_RNDN);
        mpfr_init(r20981);
        mpfr_init(r20982);
        mpfr_init_set_str(r20983, "7/5760", 10, MPFR_RNDN);
        mpfr_init(r20984);
        mpfr_init(r20985);
        mpfr_init(r20986);
        mpfr_init(r20987);
        mpfr_init(r20988);
        mpfr_init(r20989);
        mpfr_init(r20990);
        mpfr_init(r20991);
        mpfr_init(r20992);
        mpfr_init(r20993);
        mpfr_init(r20994);
        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);
        mpfr_init(r21008);
        mpfr_init(r21009);
        mpfr_init(r21010);
        mpfr_init(r21011);
        mpfr_init(r21012);
}

double f_fm(double f) {
        mpfr_const_pi(r20973, MPFR_RNDN);
        ;
        mpfr_div(r20975, r20973, r20974, MPFR_RNDN);
        mpfr_set_d(r20976, f, MPFR_RNDN);
        mpfr_mul(r20977, r20975, r20976, MPFR_RNDN);
        ;
        mpfr_set_si(r20979, mpfr_cmp(r20977, r20978) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r20981, r20976, r20980, MPFR_RNDN);
        mpfr_mul(r20982, r20981, r20976, MPFR_RNDN);
        ;
        mpfr_pow(r20984, r20976, r20974, MPFR_RNDN);
        mpfr_mul(r20985, r20983, r20984, MPFR_RNDN);
        mpfr_mul(r20986, r20973, r20973, MPFR_RNDN);
        mpfr_mul(r20987, r20985, r20986, MPFR_RNDN);
        mpfr_sub(r20988, r20982, r20987, MPFR_RNDN);
        mpfr_div(r20989, r20974, r20973, MPFR_RNDN);
        mpfr_log(r20990, r20989, MPFR_RNDN);
        mpfr_mul(r20991, r20974, r20990, MPFR_RNDN);
        mpfr_log(r20992, r20976, MPFR_RNDN);
        mpfr_mul(r20993, r20974, r20992, MPFR_RNDN);
        mpfr_sub(r20994, r20991, r20993, MPFR_RNDN);
        mpfr_div(r20995, r20994, r20973, MPFR_RNDN);
        mpfr_fma(r20996, r20973, r20988, r20995, MPFR_RNDN);
        mpfr_neg(r20997, r20996, MPFR_RNDN);
        mpfr_neg(r20998, r20976, MPFR_RNDN);
        mpfr_mul(r20999, r20998, r20975, MPFR_RNDN);
        mpfr_exp(r21000, r20999, MPFR_RNDN);
        mpfr_mul(r21001, r20976, r20973, MPFR_RNDN);
        mpfr_div(r21002, r21001, r20974, MPFR_RNDN);
        mpfr_exp(r21003, r21002, MPFR_RNDN);
        mpfr_add(r21004, r21000, r21003, MPFR_RNDN);
        mpfr_sub(r21005, r21003, r21000, MPFR_RNDN);
        mpfr_div(r21006, r21004, r21005, MPFR_RNDN);
        mpfr_log(r21007, r21006, MPFR_RNDN);
        mpfr_div(r21008, r21007, r20975, MPFR_RNDN);
        mpfr_expm1(r21009, r21008, MPFR_RNDN);
        mpfr_log1p(r21010, r21009, MPFR_RNDN);
        mpfr_neg(r21011, r21010, MPFR_RNDN);
        if (mpfr_get_si(r20979, MPFR_RNDN)) { mpfr_set(r21012, r20997, MPFR_RNDN); } else { mpfr_set(r21012, r21011, MPFR_RNDN); };
        return mpfr_get_d(r21012, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21013);
        mpfr_init_set_str(r21014, "4", 10, MPFR_RNDN);
        mpfr_init(r21015);
        mpfr_init(r21016);
        mpfr_init(r21017);
        mpfr_init_set_str(r21018, "0.04419439170710976", 10, MPFR_RNDN);
        mpfr_init(r21019);
        mpfr_init_set_str(r21020, "1/12", 10, MPFR_RNDN);
        mpfr_init(r21021);
        mpfr_init(r21022);
        mpfr_init_set_str(r21023, "7/5760", 10, MPFR_RNDN);
        mpfr_init(r21024);
        mpfr_init(r21025);
        mpfr_init(r21026);
        mpfr_init(r21027);
        mpfr_init(r21028);
        mpfr_init(r21029);
        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(r21038);
        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);
}

double f_dm(double f) {
        mpfr_const_pi(r21013, MPFR_RNDN);
        ;
        mpfr_div(r21015, r21013, r21014, MPFR_RNDN);
        mpfr_set_d(r21016, f, MPFR_RNDN);
        mpfr_mul(r21017, r21015, r21016, MPFR_RNDN);
        ;
        mpfr_set_si(r21019, mpfr_cmp(r21017, r21018) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21021, r21016, r21020, MPFR_RNDN);
        mpfr_mul(r21022, r21021, r21016, MPFR_RNDN);
        ;
        mpfr_pow(r21024, r21016, r21014, MPFR_RNDN);
        mpfr_mul(r21025, r21023, r21024, MPFR_RNDN);
        mpfr_mul(r21026, r21013, r21013, MPFR_RNDN);
        mpfr_mul(r21027, r21025, r21026, MPFR_RNDN);
        mpfr_sub(r21028, r21022, r21027, MPFR_RNDN);
        mpfr_div(r21029, r21014, r21013, MPFR_RNDN);
        mpfr_log(r21030, r21029, MPFR_RNDN);
        mpfr_mul(r21031, r21014, r21030, MPFR_RNDN);
        mpfr_log(r21032, r21016, MPFR_RNDN);
        mpfr_mul(r21033, r21014, r21032, MPFR_RNDN);
        mpfr_sub(r21034, r21031, r21033, MPFR_RNDN);
        mpfr_div(r21035, r21034, r21013, MPFR_RNDN);
        mpfr_fma(r21036, r21013, r21028, r21035, MPFR_RNDN);
        mpfr_neg(r21037, r21036, MPFR_RNDN);
        mpfr_neg(r21038, r21016, MPFR_RNDN);
        mpfr_mul(r21039, r21038, r21015, MPFR_RNDN);
        mpfr_exp(r21040, r21039, MPFR_RNDN);
        mpfr_mul(r21041, r21016, r21013, MPFR_RNDN);
        mpfr_div(r21042, r21041, r21014, MPFR_RNDN);
        mpfr_exp(r21043, r21042, MPFR_RNDN);
        mpfr_add(r21044, r21040, r21043, MPFR_RNDN);
        mpfr_sub(r21045, r21043, r21040, MPFR_RNDN);
        mpfr_div(r21046, r21044, r21045, MPFR_RNDN);
        mpfr_log(r21047, r21046, MPFR_RNDN);
        mpfr_div(r21048, r21047, r21015, MPFR_RNDN);
        mpfr_expm1(r21049, r21048, MPFR_RNDN);
        mpfr_log1p(r21050, r21049, MPFR_RNDN);
        mpfr_neg(r21051, r21050, MPFR_RNDN);
        if (mpfr_get_si(r21019, MPFR_RNDN)) { mpfr_set(r21052, r21037, MPFR_RNDN); } else { mpfr_set(r21052, r21051, MPFR_RNDN); };
        return mpfr_get_d(r21052, MPFR_RNDN);
}