#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 r23843 = 2;
        float r23844 = n;
        float r23845 = r23843 * r23844;
        float r23846 = U;
        float r23847 = r23845 * r23846;
        float r23848 = t;
        float r23849 = l;
        float r23850 = r23849 * r23849;
        float r23851 = Om;
        float r23852 = r23850 / r23851;
        float r23853 = r23843 * r23852;
        float r23854 = r23848 - r23853;
        float r23855 = r23849 / r23851;
        float r23856 = pow(r23855, r23843);
        float r23857 = r23844 * r23856;
        float r23858 = U_;
        float r23859 = r23846 - r23858;
        float r23860 = r23857 * r23859;
        float r23861 = r23854 - r23860;
        float r23862 = r23847 * r23861;
        float r23863 = sqrt(r23862);
        return r23863;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r23864 = 2;
        double r23865 = n;
        double r23866 = r23864 * r23865;
        double r23867 = U;
        double r23868 = r23866 * r23867;
        double r23869 = t;
        double r23870 = l;
        double r23871 = r23870 * r23870;
        double r23872 = Om;
        double r23873 = r23871 / r23872;
        double r23874 = r23864 * r23873;
        double r23875 = r23869 - r23874;
        double r23876 = r23870 / r23872;
        double r23877 = pow(r23876, r23864);
        double r23878 = r23865 * r23877;
        double r23879 = U_;
        double r23880 = r23867 - r23879;
        double r23881 = r23878 * r23880;
        double r23882 = r23875 - r23881;
        double r23883 = r23868 * r23882;
        double r23884 = sqrt(r23883);
        return r23884;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r23885 = U;
        float r23886 = n;
        float r23887 = r23885 * r23886;
        float r23888 = 2;
        float r23889 = r23887 * r23888;
        float r23890 = l;
        float r23891 = Om;
        float r23892 = r23890 / r23891;
        float r23893 = U_;
        float r23894 = r23893 - r23885;
        float r23895 = r23892 * r23886;
        float r23896 = r23894 * r23895;
        float r23897 = t;
        float r23898 = r23890 * r23888;
        float r23899 = r23898 * r23892;
        float r23900 = r23897 - r23899;
        float r23901 = fma(r23892, r23896, r23900);
        float r23902 = r23889 * r23901;
        float r23903 = 0;
        float r23904 = r23903 * r23886;
        float r23905 = r23885 * r23888;
        float r23906 = r23904 * r23905;
        float r23907 = r23902 + r23906;
        float r23908 = 1/2;
        float r23909 = pow(r23907, r23908);
        float r23910 = 1.813103842402902e-130;
        bool r23911 = r23909 <= r23910;
        float r23912 = r23888 * r23886;
        float r23913 = r23890 * r23890;
        float r23914 = r23913 / r23891;
        float r23915 = r23888 * r23914;
        float r23916 = r23897 - r23915;
        float r23917 = pow(r23892, r23888);
        float r23918 = r23886 * r23917;
        float r23919 = r23885 - r23893;
        float r23920 = r23918 * r23919;
        float r23921 = r23916 - r23920;
        float r23922 = r23885 * r23921;
        float r23923 = r23912 * r23922;
        float r23924 = sqrt(r23923);
        float r23925 = 3.0789497888184434e+167;
        bool r23926 = r23909 <= r23925;
        float r23927 = r23912 * r23885;
        float r23928 = sqrt(r23927);
        float r23929 = sqrt(r23921);
        float r23930 = r23928 * r23929;
        float r23931 = r23926 ? r23909 : r23930;
        float r23932 = r23911 ? r23924 : r23931;
        return r23932;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r23933 = U;
        double r23934 = n;
        double r23935 = r23933 * r23934;
        double r23936 = 2;
        double r23937 = r23935 * r23936;
        double r23938 = l;
        double r23939 = Om;
        double r23940 = r23938 / r23939;
        double r23941 = U_;
        double r23942 = r23941 - r23933;
        double r23943 = r23940 * r23934;
        double r23944 = r23942 * r23943;
        double r23945 = t;
        double r23946 = r23938 * r23936;
        double r23947 = r23946 * r23940;
        double r23948 = r23945 - r23947;
        double r23949 = fma(r23940, r23944, r23948);
        double r23950 = r23937 * r23949;
        double r23951 = 0;
        double r23952 = r23951 * r23934;
        double r23953 = r23933 * r23936;
        double r23954 = r23952 * r23953;
        double r23955 = r23950 + r23954;
        double r23956 = 1/2;
        double r23957 = pow(r23955, r23956);
        double r23958 = 1.813103842402902e-130;
        bool r23959 = r23957 <= r23958;
        double r23960 = r23936 * r23934;
        double r23961 = r23938 * r23938;
        double r23962 = r23961 / r23939;
        double r23963 = r23936 * r23962;
        double r23964 = r23945 - r23963;
        double r23965 = pow(r23940, r23936);
        double r23966 = r23934 * r23965;
        double r23967 = r23933 - r23941;
        double r23968 = r23966 * r23967;
        double r23969 = r23964 - r23968;
        double r23970 = r23933 * r23969;
        double r23971 = r23960 * r23970;
        double r23972 = sqrt(r23971);
        double r23973 = 3.0789497888184434e+167;
        bool r23974 = r23957 <= r23973;
        double r23975 = r23960 * r23933;
        double r23976 = sqrt(r23975);
        double r23977 = sqrt(r23969);
        double r23978 = r23976 * r23977;
        double r23979 = r23974 ? r23957 : r23978;
        double r23980 = r23959 ? r23972 : r23979;
        return r23980;
}

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 r23981, r23982, r23983, r23984, r23985, r23986, r23987, r23988, r23989, r23990, r23991, r23992, r23993, r23994, r23995, r23996, r23997, r23998, r23999, r24000, r24001;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r23981, "2", 10, MPFR_RNDN);
        mpfr_init(r23982);
        mpfr_init(r23983);
        mpfr_init(r23984);
        mpfr_init(r23985);
        mpfr_init(r23986);
        mpfr_init(r23987);
        mpfr_init(r23988);
        mpfr_init(r23989);
        mpfr_init(r23990);
        mpfr_init(r23991);
        mpfr_init(r23992);
        mpfr_init(r23993);
        mpfr_init(r23994);
        mpfr_init(r23995);
        mpfr_init(r23996);
        mpfr_init(r23997);
        mpfr_init(r23998);
        mpfr_init(r23999);
        mpfr_init(r24000);
        mpfr_init(r24001);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r23982, n, MPFR_RNDN);
        mpfr_mul(r23983, r23981, r23982, MPFR_RNDN);
        mpfr_set_d(r23984, U, MPFR_RNDN);
        mpfr_mul(r23985, r23983, r23984, MPFR_RNDN);
        mpfr_set_d(r23986, t, MPFR_RNDN);
        mpfr_set_d(r23987, l, MPFR_RNDN);
        mpfr_mul(r23988, r23987, r23987, MPFR_RNDN);
        mpfr_set_d(r23989, Om, MPFR_RNDN);
        mpfr_div(r23990, r23988, r23989, MPFR_RNDN);
        mpfr_mul(r23991, r23981, r23990, MPFR_RNDN);
        mpfr_sub(r23992, r23986, r23991, MPFR_RNDN);
        mpfr_div(r23993, r23987, r23989, MPFR_RNDN);
        mpfr_pow(r23994, r23993, r23981, MPFR_RNDN);
        mpfr_mul(r23995, r23982, r23994, MPFR_RNDN);
        mpfr_set_d(r23996, U_, MPFR_RNDN);
        mpfr_sub(r23997, r23984, r23996, MPFR_RNDN);
        mpfr_mul(r23998, r23995, r23997, MPFR_RNDN);
        mpfr_sub(r23999, r23992, r23998, MPFR_RNDN);
        mpfr_mul(r24000, r23985, r23999, MPFR_RNDN);
        mpfr_sqrt(r24001, r24000, MPFR_RNDN);
        return mpfr_get_d(r24001, MPFR_RNDN);
}

static mpfr_t r24002, r24003, r24004, r24005, r24006, r24007, r24008, r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016, r24017, r24018, r24019, r24020, r24021, r24022, r24023, r24024, r24025, r24026, r24027, r24028, r24029, r24030, r24031, r24032, r24033, r24034, r24035, r24036, r24037, r24038, r24039, r24040, r24041, r24042, r24043, r24044, r24045, r24046, r24047, r24048, r24049;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24002);
        mpfr_init(r24003);
        mpfr_init(r24004);
        mpfr_init_set_str(r24005, "2", 10, MPFR_RNDN);
        mpfr_init(r24006);
        mpfr_init(r24007);
        mpfr_init(r24008);
        mpfr_init(r24009);
        mpfr_init(r24010);
        mpfr_init(r24011);
        mpfr_init(r24012);
        mpfr_init(r24013);
        mpfr_init(r24014);
        mpfr_init(r24015);
        mpfr_init(r24016);
        mpfr_init(r24017);
        mpfr_init(r24018);
        mpfr_init(r24019);
        mpfr_init_set_str(r24020, "0", 10, MPFR_RNDN);
        mpfr_init(r24021);
        mpfr_init(r24022);
        mpfr_init(r24023);
        mpfr_init(r24024);
        mpfr_init_set_str(r24025, "1/2", 10, MPFR_RNDN);
        mpfr_init(r24026);
        mpfr_init_set_str(r24027, "1.813103842402902e-130", 10, MPFR_RNDN);
        mpfr_init(r24028);
        mpfr_init(r24029);
        mpfr_init(r24030);
        mpfr_init(r24031);
        mpfr_init(r24032);
        mpfr_init(r24033);
        mpfr_init(r24034);
        mpfr_init(r24035);
        mpfr_init(r24036);
        mpfr_init(r24037);
        mpfr_init(r24038);
        mpfr_init(r24039);
        mpfr_init(r24040);
        mpfr_init(r24041);
        mpfr_init_set_str(r24042, "3.0789497888184434e+167", 10, MPFR_RNDN);
        mpfr_init(r24043);
        mpfr_init(r24044);
        mpfr_init(r24045);
        mpfr_init(r24046);
        mpfr_init(r24047);
        mpfr_init(r24048);
        mpfr_init(r24049);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24002, U, MPFR_RNDN);
        mpfr_set_d(r24003, n, MPFR_RNDN);
        mpfr_mul(r24004, r24002, r24003, MPFR_RNDN);
        ;
        mpfr_mul(r24006, r24004, r24005, MPFR_RNDN);
        mpfr_set_d(r24007, l, MPFR_RNDN);
        mpfr_set_d(r24008, Om, MPFR_RNDN);
        mpfr_div(r24009, r24007, r24008, MPFR_RNDN);
        mpfr_set_d(r24010, U_, MPFR_RNDN);
        mpfr_sub(r24011, r24010, r24002, MPFR_RNDN);
        mpfr_mul(r24012, r24009, r24003, MPFR_RNDN);
        mpfr_mul(r24013, r24011, r24012, MPFR_RNDN);
        mpfr_set_d(r24014, t, MPFR_RNDN);
        mpfr_mul(r24015, r24007, r24005, MPFR_RNDN);
        mpfr_mul(r24016, r24015, r24009, MPFR_RNDN);
        mpfr_sub(r24017, r24014, r24016, MPFR_RNDN);
        mpfr_fma(r24018, r24009, r24013, r24017, MPFR_RNDN);
        mpfr_mul(r24019, r24006, r24018, MPFR_RNDN);
        ;
        mpfr_mul(r24021, r24020, r24003, MPFR_RNDN);
        mpfr_mul(r24022, r24002, r24005, MPFR_RNDN);
        mpfr_mul(r24023, r24021, r24022, MPFR_RNDN);
        mpfr_add(r24024, r24019, r24023, MPFR_RNDN);
        ;
        mpfr_pow(r24026, r24024, r24025, MPFR_RNDN);
        ;
        mpfr_set_si(r24028, mpfr_cmp(r24026, r24027) <= 0, MPFR_RNDN);
        mpfr_mul(r24029, r24005, r24003, MPFR_RNDN);
        mpfr_mul(r24030, r24007, r24007, MPFR_RNDN);
        mpfr_div(r24031, r24030, r24008, MPFR_RNDN);
        mpfr_mul(r24032, r24005, r24031, MPFR_RNDN);
        mpfr_sub(r24033, r24014, r24032, MPFR_RNDN);
        mpfr_pow(r24034, r24009, r24005, MPFR_RNDN);
        mpfr_mul(r24035, r24003, r24034, MPFR_RNDN);
        mpfr_sub(r24036, r24002, r24010, MPFR_RNDN);
        mpfr_mul(r24037, r24035, r24036, MPFR_RNDN);
        mpfr_sub(r24038, r24033, r24037, MPFR_RNDN);
        mpfr_mul(r24039, r24002, r24038, MPFR_RNDN);
        mpfr_mul(r24040, r24029, r24039, MPFR_RNDN);
        mpfr_sqrt(r24041, r24040, MPFR_RNDN);
        ;
        mpfr_set_si(r24043, mpfr_cmp(r24026, r24042) <= 0, MPFR_RNDN);
        mpfr_mul(r24044, r24029, r24002, MPFR_RNDN);
        mpfr_sqrt(r24045, r24044, MPFR_RNDN);
        mpfr_sqrt(r24046, r24038, MPFR_RNDN);
        mpfr_mul(r24047, r24045, r24046, MPFR_RNDN);
        if (mpfr_get_si(r24043, MPFR_RNDN)) { mpfr_set(r24048, r24026, MPFR_RNDN); } else { mpfr_set(r24048, r24047, MPFR_RNDN); };
        if (mpfr_get_si(r24028, MPFR_RNDN)) { mpfr_set(r24049, r24041, MPFR_RNDN); } else { mpfr_set(r24049, r24048, MPFR_RNDN); };
        return mpfr_get_d(r24049, MPFR_RNDN);
}

static mpfr_t r24050, r24051, r24052, r24053, r24054, r24055, r24056, r24057, r24058, r24059, r24060, r24061, r24062, r24063, r24064, r24065, r24066, r24067, r24068, r24069, r24070, r24071, r24072, r24073, r24074, r24075, r24076, r24077, r24078, r24079, r24080, r24081, r24082, r24083, r24084, r24085, r24086, r24087, r24088, r24089, r24090, r24091, r24092, r24093, r24094, r24095, r24096, r24097;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24050);
        mpfr_init(r24051);
        mpfr_init(r24052);
        mpfr_init_set_str(r24053, "2", 10, MPFR_RNDN);
        mpfr_init(r24054);
        mpfr_init(r24055);
        mpfr_init(r24056);
        mpfr_init(r24057);
        mpfr_init(r24058);
        mpfr_init(r24059);
        mpfr_init(r24060);
        mpfr_init(r24061);
        mpfr_init(r24062);
        mpfr_init(r24063);
        mpfr_init(r24064);
        mpfr_init(r24065);
        mpfr_init(r24066);
        mpfr_init(r24067);
        mpfr_init_set_str(r24068, "0", 10, MPFR_RNDN);
        mpfr_init(r24069);
        mpfr_init(r24070);
        mpfr_init(r24071);
        mpfr_init(r24072);
        mpfr_init_set_str(r24073, "1/2", 10, MPFR_RNDN);
        mpfr_init(r24074);
        mpfr_init_set_str(r24075, "1.813103842402902e-130", 10, MPFR_RNDN);
        mpfr_init(r24076);
        mpfr_init(r24077);
        mpfr_init(r24078);
        mpfr_init(r24079);
        mpfr_init(r24080);
        mpfr_init(r24081);
        mpfr_init(r24082);
        mpfr_init(r24083);
        mpfr_init(r24084);
        mpfr_init(r24085);
        mpfr_init(r24086);
        mpfr_init(r24087);
        mpfr_init(r24088);
        mpfr_init(r24089);
        mpfr_init_set_str(r24090, "3.0789497888184434e+167", 10, MPFR_RNDN);
        mpfr_init(r24091);
        mpfr_init(r24092);
        mpfr_init(r24093);
        mpfr_init(r24094);
        mpfr_init(r24095);
        mpfr_init(r24096);
        mpfr_init(r24097);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24050, U, MPFR_RNDN);
        mpfr_set_d(r24051, n, MPFR_RNDN);
        mpfr_mul(r24052, r24050, r24051, MPFR_RNDN);
        ;
        mpfr_mul(r24054, r24052, r24053, MPFR_RNDN);
        mpfr_set_d(r24055, l, MPFR_RNDN);
        mpfr_set_d(r24056, Om, MPFR_RNDN);
        mpfr_div(r24057, r24055, r24056, MPFR_RNDN);
        mpfr_set_d(r24058, U_, MPFR_RNDN);
        mpfr_sub(r24059, r24058, r24050, MPFR_RNDN);
        mpfr_mul(r24060, r24057, r24051, MPFR_RNDN);
        mpfr_mul(r24061, r24059, r24060, MPFR_RNDN);
        mpfr_set_d(r24062, t, MPFR_RNDN);
        mpfr_mul(r24063, r24055, r24053, MPFR_RNDN);
        mpfr_mul(r24064, r24063, r24057, MPFR_RNDN);
        mpfr_sub(r24065, r24062, r24064, MPFR_RNDN);
        mpfr_fma(r24066, r24057, r24061, r24065, MPFR_RNDN);
        mpfr_mul(r24067, r24054, r24066, MPFR_RNDN);
        ;
        mpfr_mul(r24069, r24068, r24051, MPFR_RNDN);
        mpfr_mul(r24070, r24050, r24053, MPFR_RNDN);
        mpfr_mul(r24071, r24069, r24070, MPFR_RNDN);
        mpfr_add(r24072, r24067, r24071, MPFR_RNDN);
        ;
        mpfr_pow(r24074, r24072, r24073, MPFR_RNDN);
        ;
        mpfr_set_si(r24076, mpfr_cmp(r24074, r24075) <= 0, MPFR_RNDN);
        mpfr_mul(r24077, r24053, r24051, MPFR_RNDN);
        mpfr_mul(r24078, r24055, r24055, MPFR_RNDN);
        mpfr_div(r24079, r24078, r24056, MPFR_RNDN);
        mpfr_mul(r24080, r24053, r24079, MPFR_RNDN);
        mpfr_sub(r24081, r24062, r24080, MPFR_RNDN);
        mpfr_pow(r24082, r24057, r24053, MPFR_RNDN);
        mpfr_mul(r24083, r24051, r24082, MPFR_RNDN);
        mpfr_sub(r24084, r24050, r24058, MPFR_RNDN);
        mpfr_mul(r24085, r24083, r24084, MPFR_RNDN);
        mpfr_sub(r24086, r24081, r24085, MPFR_RNDN);
        mpfr_mul(r24087, r24050, r24086, MPFR_RNDN);
        mpfr_mul(r24088, r24077, r24087, MPFR_RNDN);
        mpfr_sqrt(r24089, r24088, MPFR_RNDN);
        ;
        mpfr_set_si(r24091, mpfr_cmp(r24074, r24090) <= 0, MPFR_RNDN);
        mpfr_mul(r24092, r24077, r24050, MPFR_RNDN);
        mpfr_sqrt(r24093, r24092, MPFR_RNDN);
        mpfr_sqrt(r24094, r24086, MPFR_RNDN);
        mpfr_mul(r24095, r24093, r24094, MPFR_RNDN);
        if (mpfr_get_si(r24091, MPFR_RNDN)) { mpfr_set(r24096, r24074, MPFR_RNDN); } else { mpfr_set(r24096, r24095, MPFR_RNDN); };
        if (mpfr_get_si(r24076, MPFR_RNDN)) { mpfr_set(r24097, r24089, MPFR_RNDN); } else { mpfr_set(r24097, r24096, MPFR_RNDN); };
        return mpfr_get_d(r24097, MPFR_RNDN);
}