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

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r22860 = 2;
        float r22861 = n;
        float r22862 = r22860 * r22861;
        float r22863 = U;
        float r22864 = r22862 * r22863;
        float r22865 = t;
        float r22866 = l;
        float r22867 = r22866 * r22866;
        float r22868 = Om;
        float r22869 = r22867 / r22868;
        float r22870 = r22860 * r22869;
        float r22871 = r22865 - r22870;
        float r22872 = r22866 / r22868;
        float r22873 = pow(r22872, r22860);
        float r22874 = r22861 * r22873;
        float r22875 = U_;
        float r22876 = r22863 - r22875;
        float r22877 = r22874 * r22876;
        float r22878 = r22871 - r22877;
        float r22879 = r22864 * r22878;
        float r22880 = sqrt(r22879);
        return r22880;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22881 = 2;
        double r22882 = n;
        double r22883 = r22881 * r22882;
        double r22884 = U;
        double r22885 = r22883 * r22884;
        double r22886 = t;
        double r22887 = l;
        double r22888 = r22887 * r22887;
        double r22889 = Om;
        double r22890 = r22888 / r22889;
        double r22891 = r22881 * r22890;
        double r22892 = r22886 - r22891;
        double r22893 = r22887 / r22889;
        double r22894 = pow(r22893, r22881);
        double r22895 = r22882 * r22894;
        double r22896 = U_;
        double r22897 = r22884 - r22896;
        double r22898 = r22895 * r22897;
        double r22899 = r22892 - r22898;
        double r22900 = r22885 * r22899;
        double r22901 = sqrt(r22900);
        return r22901;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22902 = 2;
        float r22903 = n;
        float r22904 = r22902 * r22903;
        float r22905 = U;
        float r22906 = r22904 * r22905;
        float r22907 = sqrt(r22906);
        float r22908 = t;
        float r22909 = l;
        float r22910 = r22909 * r22909;
        float r22911 = Om;
        float r22912 = r22910 / r22911;
        float r22913 = r22902 * r22912;
        float r22914 = r22908 - r22913;
        float r22915 = r22909 / r22911;
        float r22916 = pow(r22915, r22902);
        float r22917 = r22903 * r22916;
        float r22918 = U_;
        float r22919 = r22905 - r22918;
        float r22920 = r22917 * r22919;
        float r22921 = r22914 - r22920;
        float r22922 = sqrt(r22921);
        float r22923 = r22907 * r22922;
        float r22924 = 4.828530739005878e-233;
        bool r22925 = r22923 <= r22924;
        float r22926 = sqrt(r22904);
        float r22927 = r22905 * r22921;
        float r22928 = sqrt(r22927);
        float r22929 = r22926 * r22928;
        float r22930 = +inf.0;
        bool r22931 = r22923 <= r22930;
        float r22932 = r22911 / r22909;
        float r22933 = r22909 / r22932;
        float r22934 = r22902 * r22933;
        float r22935 = r22908 - r22934;
        float r22936 = r22935 - r22920;
        float r22937 = r22905 * r22936;
        float r22938 = r22904 * r22937;
        float r22939 = sqrt(r22938);
        float r22940 = r22931 ? r22923 : r22939;
        float r22941 = r22925 ? r22929 : r22940;
        return r22941;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22942 = 2;
        double r22943 = n;
        double r22944 = r22942 * r22943;
        double r22945 = U;
        double r22946 = r22944 * r22945;
        double r22947 = sqrt(r22946);
        double r22948 = t;
        double r22949 = l;
        double r22950 = r22949 * r22949;
        double r22951 = Om;
        double r22952 = r22950 / r22951;
        double r22953 = r22942 * r22952;
        double r22954 = r22948 - r22953;
        double r22955 = r22949 / r22951;
        double r22956 = pow(r22955, r22942);
        double r22957 = r22943 * r22956;
        double r22958 = U_;
        double r22959 = r22945 - r22958;
        double r22960 = r22957 * r22959;
        double r22961 = r22954 - r22960;
        double r22962 = sqrt(r22961);
        double r22963 = r22947 * r22962;
        double r22964 = 4.828530739005878e-233;
        bool r22965 = r22963 <= r22964;
        double r22966 = sqrt(r22944);
        double r22967 = r22945 * r22961;
        double r22968 = sqrt(r22967);
        double r22969 = r22966 * r22968;
        double r22970 = +inf.0;
        bool r22971 = r22963 <= r22970;
        double r22972 = r22951 / r22949;
        double r22973 = r22949 / r22972;
        double r22974 = r22942 * r22973;
        double r22975 = r22948 - r22974;
        double r22976 = r22975 - r22960;
        double r22977 = r22945 * r22976;
        double r22978 = r22944 * r22977;
        double r22979 = sqrt(r22978);
        double r22980 = r22971 ? r22963 : r22979;
        double r22981 = r22965 ? r22969 : r22980;
        return r22981;
}

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 r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000, r23001, r23002;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22982, "2", 10, MPFR_RNDN);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22983, n, MPFR_RNDN);
        mpfr_mul(r22984, r22982, r22983, MPFR_RNDN);
        mpfr_set_d(r22985, U, MPFR_RNDN);
        mpfr_mul(r22986, r22984, r22985, MPFR_RNDN);
        mpfr_set_d(r22987, t, MPFR_RNDN);
        mpfr_set_d(r22988, l, MPFR_RNDN);
        mpfr_mul(r22989, r22988, r22988, MPFR_RNDN);
        mpfr_set_d(r22990, Om, MPFR_RNDN);
        mpfr_div(r22991, r22989, r22990, MPFR_RNDN);
        mpfr_mul(r22992, r22982, r22991, MPFR_RNDN);
        mpfr_sub(r22993, r22987, r22992, MPFR_RNDN);
        mpfr_div(r22994, r22988, r22990, MPFR_RNDN);
        mpfr_pow(r22995, r22994, r22982, MPFR_RNDN);
        mpfr_mul(r22996, r22983, r22995, MPFR_RNDN);
        mpfr_set_d(r22997, U_, MPFR_RNDN);
        mpfr_sub(r22998, r22985, r22997, MPFR_RNDN);
        mpfr_mul(r22999, r22996, r22998, MPFR_RNDN);
        mpfr_sub(r23000, r22993, r22999, MPFR_RNDN);
        mpfr_mul(r23001, r22986, r23000, MPFR_RNDN);
        mpfr_sqrt(r23002, r23001, MPFR_RNDN);
        return mpfr_get_d(r23002, MPFR_RNDN);
}

static mpfr_t r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r23003, "2", 10, MPFR_RNDN);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init_set_str(r23025, "4.828530739005878e-233", 10, MPFR_RNDN);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init_set_str(r23031, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
        mpfr_init(r23037);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init(r23041);
        mpfr_init(r23042);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r23004, n, MPFR_RNDN);
        mpfr_mul(r23005, r23003, r23004, MPFR_RNDN);
        mpfr_set_d(r23006, U, MPFR_RNDN);
        mpfr_mul(r23007, r23005, r23006, MPFR_RNDN);
        mpfr_sqrt(r23008, r23007, MPFR_RNDN);
        mpfr_set_d(r23009, t, MPFR_RNDN);
        mpfr_set_d(r23010, l, MPFR_RNDN);
        mpfr_mul(r23011, r23010, r23010, MPFR_RNDN);
        mpfr_set_d(r23012, Om, MPFR_RNDN);
        mpfr_div(r23013, r23011, r23012, MPFR_RNDN);
        mpfr_mul(r23014, r23003, r23013, MPFR_RNDN);
        mpfr_sub(r23015, r23009, r23014, MPFR_RNDN);
        mpfr_div(r23016, r23010, r23012, MPFR_RNDN);
        mpfr_pow(r23017, r23016, r23003, MPFR_RNDN);
        mpfr_mul(r23018, r23004, r23017, MPFR_RNDN);
        mpfr_set_d(r23019, U_, MPFR_RNDN);
        mpfr_sub(r23020, r23006, r23019, MPFR_RNDN);
        mpfr_mul(r23021, r23018, r23020, MPFR_RNDN);
        mpfr_sub(r23022, r23015, r23021, MPFR_RNDN);
        mpfr_sqrt(r23023, r23022, MPFR_RNDN);
        mpfr_mul(r23024, r23008, r23023, MPFR_RNDN);
        ;
        mpfr_set_si(r23026, mpfr_cmp(r23024, r23025) <= 0, MPFR_RNDN);
        mpfr_sqrt(r23027, r23005, MPFR_RNDN);
        mpfr_mul(r23028, r23006, r23022, MPFR_RNDN);
        mpfr_sqrt(r23029, r23028, MPFR_RNDN);
        mpfr_mul(r23030, r23027, r23029, MPFR_RNDN);
        ;
        mpfr_set_si(r23032, mpfr_cmp(r23024, r23031) <= 0, MPFR_RNDN);
        mpfr_div(r23033, r23012, r23010, MPFR_RNDN);
        mpfr_div(r23034, r23010, r23033, MPFR_RNDN);
        mpfr_mul(r23035, r23003, r23034, MPFR_RNDN);
        mpfr_sub(r23036, r23009, r23035, MPFR_RNDN);
        mpfr_sub(r23037, r23036, r23021, MPFR_RNDN);
        mpfr_mul(r23038, r23006, r23037, MPFR_RNDN);
        mpfr_mul(r23039, r23005, r23038, MPFR_RNDN);
        mpfr_sqrt(r23040, r23039, MPFR_RNDN);
        if (mpfr_get_si(r23032, MPFR_RNDN)) { mpfr_set(r23041, r23024, MPFR_RNDN); } else { mpfr_set(r23041, r23040, MPFR_RNDN); };
        if (mpfr_get_si(r23026, MPFR_RNDN)) { mpfr_set(r23042, r23030, MPFR_RNDN); } else { mpfr_set(r23042, r23041, MPFR_RNDN); };
        return mpfr_get_d(r23042, MPFR_RNDN);
}

static mpfr_t r23043, r23044, r23045, r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055, r23056, r23057, r23058, r23059, r23060, r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r23043, "2", 10, MPFR_RNDN);
        mpfr_init(r23044);
        mpfr_init(r23045);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init(r23048);
        mpfr_init(r23049);
        mpfr_init(r23050);
        mpfr_init(r23051);
        mpfr_init(r23052);
        mpfr_init(r23053);
        mpfr_init(r23054);
        mpfr_init(r23055);
        mpfr_init(r23056);
        mpfr_init(r23057);
        mpfr_init(r23058);
        mpfr_init(r23059);
        mpfr_init(r23060);
        mpfr_init(r23061);
        mpfr_init(r23062);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init_set_str(r23065, "4.828530739005878e-233", 10, MPFR_RNDN);
        mpfr_init(r23066);
        mpfr_init(r23067);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init_set_str(r23071, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init(r23075);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r23044, n, MPFR_RNDN);
        mpfr_mul(r23045, r23043, r23044, MPFR_RNDN);
        mpfr_set_d(r23046, U, MPFR_RNDN);
        mpfr_mul(r23047, r23045, r23046, MPFR_RNDN);
        mpfr_sqrt(r23048, r23047, MPFR_RNDN);
        mpfr_set_d(r23049, t, MPFR_RNDN);
        mpfr_set_d(r23050, l, MPFR_RNDN);
        mpfr_mul(r23051, r23050, r23050, MPFR_RNDN);
        mpfr_set_d(r23052, Om, MPFR_RNDN);
        mpfr_div(r23053, r23051, r23052, MPFR_RNDN);
        mpfr_mul(r23054, r23043, r23053, MPFR_RNDN);
        mpfr_sub(r23055, r23049, r23054, MPFR_RNDN);
        mpfr_div(r23056, r23050, r23052, MPFR_RNDN);
        mpfr_pow(r23057, r23056, r23043, MPFR_RNDN);
        mpfr_mul(r23058, r23044, r23057, MPFR_RNDN);
        mpfr_set_d(r23059, U_, MPFR_RNDN);
        mpfr_sub(r23060, r23046, r23059, MPFR_RNDN);
        mpfr_mul(r23061, r23058, r23060, MPFR_RNDN);
        mpfr_sub(r23062, r23055, r23061, MPFR_RNDN);
        mpfr_sqrt(r23063, r23062, MPFR_RNDN);
        mpfr_mul(r23064, r23048, r23063, MPFR_RNDN);
        ;
        mpfr_set_si(r23066, mpfr_cmp(r23064, r23065) <= 0, MPFR_RNDN);
        mpfr_sqrt(r23067, r23045, MPFR_RNDN);
        mpfr_mul(r23068, r23046, r23062, MPFR_RNDN);
        mpfr_sqrt(r23069, r23068, MPFR_RNDN);
        mpfr_mul(r23070, r23067, r23069, MPFR_RNDN);
        ;
        mpfr_set_si(r23072, mpfr_cmp(r23064, r23071) <= 0, MPFR_RNDN);
        mpfr_div(r23073, r23052, r23050, MPFR_RNDN);
        mpfr_div(r23074, r23050, r23073, MPFR_RNDN);
        mpfr_mul(r23075, r23043, r23074, MPFR_RNDN);
        mpfr_sub(r23076, r23049, r23075, MPFR_RNDN);
        mpfr_sub(r23077, r23076, r23061, MPFR_RNDN);
        mpfr_mul(r23078, r23046, r23077, MPFR_RNDN);
        mpfr_mul(r23079, r23045, r23078, MPFR_RNDN);
        mpfr_sqrt(r23080, r23079, MPFR_RNDN);
        if (mpfr_get_si(r23072, MPFR_RNDN)) { mpfr_set(r23081, r23064, MPFR_RNDN); } else { mpfr_set(r23081, r23080, MPFR_RNDN); };
        if (mpfr_get_si(r23066, MPFR_RNDN)) { mpfr_set(r23082, r23070, MPFR_RNDN); } else { mpfr_set(r23082, r23081, MPFR_RNDN); };
        return mpfr_get_d(r23082, MPFR_RNDN);
}