#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 r23850 = 2;
        float r23851 = n;
        float r23852 = r23850 * r23851;
        float r23853 = U;
        float r23854 = r23852 * r23853;
        float r23855 = t;
        float r23856 = l;
        float r23857 = r23856 * r23856;
        float r23858 = Om;
        float r23859 = r23857 / r23858;
        float r23860 = r23850 * r23859;
        float r23861 = r23855 - r23860;
        float r23862 = r23856 / r23858;
        float r23863 = pow(r23862, r23850);
        float r23864 = r23851 * r23863;
        float r23865 = U_;
        float r23866 = r23853 - r23865;
        float r23867 = r23864 * r23866;
        float r23868 = r23861 - r23867;
        float r23869 = r23854 * r23868;
        float r23870 = sqrt(r23869);
        return r23870;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r23871 = 2;
        double r23872 = n;
        double r23873 = r23871 * r23872;
        double r23874 = U;
        double r23875 = r23873 * r23874;
        double r23876 = t;
        double r23877 = l;
        double r23878 = r23877 * r23877;
        double r23879 = Om;
        double r23880 = r23878 / r23879;
        double r23881 = r23871 * r23880;
        double r23882 = r23876 - r23881;
        double r23883 = r23877 / r23879;
        double r23884 = pow(r23883, r23871);
        double r23885 = r23872 * r23884;
        double r23886 = U_;
        double r23887 = r23874 - r23886;
        double r23888 = r23885 * r23887;
        double r23889 = r23882 - r23888;
        double r23890 = r23875 * r23889;
        double r23891 = sqrt(r23890);
        return r23891;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r23892 = 2;
        float r23893 = U;
        float r23894 = n;
        float r23895 = r23893 * r23894;
        float r23896 = r23892 * r23895;
        float r23897 = -3.1204010641751195e-302;
        bool r23898 = r23896 <= r23897;
        float r23899 = r23895 * r23892;
        float r23900 = l;
        float r23901 = Om;
        float r23902 = r23900 / r23901;
        float r23903 = U_;
        float r23904 = r23903 - r23893;
        float r23905 = r23902 * r23894;
        float r23906 = r23904 * r23905;
        float r23907 = t;
        float r23908 = r23900 * r23892;
        float r23909 = r23908 * r23902;
        float r23910 = r23907 - r23909;
        float r23911 = fma(r23902, r23906, r23910);
        float r23912 = r23899 * r23911;
        float r23913 = 0;
        float r23914 = r23913 * r23894;
        float r23915 = r23893 * r23892;
        float r23916 = r23914 * r23915;
        float r23917 = r23912 + r23916;
        float r23918 = sqrt(r23917);
        float r23919 = 1.9257269512662607e-308;
        bool r23920 = r23896 <= r23919;
        float r23921 = r23894 / r23901;
        float r23922 = r23921 * r23921;
        float r23923 = r23903 * r23893;
        float r23924 = r23900 * r23900;
        float r23925 = r23923 * r23924;
        float r23926 = r23900 * r23893;
        float r23927 = r23926 * r23926;
        float r23928 = r23925 - r23927;
        float r23929 = r23922 * r23928;
        float r23930 = r23907 * r23894;
        float r23931 = r23915 * r23930;
        float r23932 = fma(r23892, r23929, r23931);
        float r23933 = sqrt(r23932);
        float r23934 = r23892 * r23894;
        float r23935 = r23934 * r23893;
        float r23936 = sqrt(r23935);
        float r23937 = r23924 / r23901;
        float r23938 = r23892 * r23937;
        float r23939 = r23907 - r23938;
        float r23940 = pow(r23902, r23892);
        float r23941 = r23894 * r23940;
        float r23942 = r23893 - r23903;
        float r23943 = r23941 * r23942;
        float r23944 = r23939 - r23943;
        float r23945 = sqrt(r23944);
        float r23946 = r23936 * r23945;
        float r23947 = r23920 ? r23933 : r23946;
        float r23948 = r23898 ? r23918 : r23947;
        return r23948;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r23949 = 2;
        double r23950 = U;
        double r23951 = n;
        double r23952 = r23950 * r23951;
        double r23953 = r23949 * r23952;
        double r23954 = -3.1204010641751195e-302;
        bool r23955 = r23953 <= r23954;
        double r23956 = r23952 * r23949;
        double r23957 = l;
        double r23958 = Om;
        double r23959 = r23957 / r23958;
        double r23960 = U_;
        double r23961 = r23960 - r23950;
        double r23962 = r23959 * r23951;
        double r23963 = r23961 * r23962;
        double r23964 = t;
        double r23965 = r23957 * r23949;
        double r23966 = r23965 * r23959;
        double r23967 = r23964 - r23966;
        double r23968 = fma(r23959, r23963, r23967);
        double r23969 = r23956 * r23968;
        double r23970 = 0;
        double r23971 = r23970 * r23951;
        double r23972 = r23950 * r23949;
        double r23973 = r23971 * r23972;
        double r23974 = r23969 + r23973;
        double r23975 = sqrt(r23974);
        double r23976 = 1.9257269512662607e-308;
        bool r23977 = r23953 <= r23976;
        double r23978 = r23951 / r23958;
        double r23979 = r23978 * r23978;
        double r23980 = r23960 * r23950;
        double r23981 = r23957 * r23957;
        double r23982 = r23980 * r23981;
        double r23983 = r23957 * r23950;
        double r23984 = r23983 * r23983;
        double r23985 = r23982 - r23984;
        double r23986 = r23979 * r23985;
        double r23987 = r23964 * r23951;
        double r23988 = r23972 * r23987;
        double r23989 = fma(r23949, r23986, r23988);
        double r23990 = sqrt(r23989);
        double r23991 = r23949 * r23951;
        double r23992 = r23991 * r23950;
        double r23993 = sqrt(r23992);
        double r23994 = r23981 / r23958;
        double r23995 = r23949 * r23994;
        double r23996 = r23964 - r23995;
        double r23997 = pow(r23959, r23949);
        double r23998 = r23951 * r23997;
        double r23999 = r23950 - r23960;
        double r24000 = r23998 * r23999;
        double r24001 = r23996 - r24000;
        double r24002 = sqrt(r24001);
        double r24003 = r23993 * r24002;
        double r24004 = r23977 ? r23990 : r24003;
        double r24005 = r23955 ? r23975 : r24004;
        return r24005;
}

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 r24006, r24007, r24008, r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016, r24017, r24018, r24019, r24020, r24021, r24022, r24023, r24024, r24025, r24026;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24006, "2", 10, MPFR_RNDN);
        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(r24020);
        mpfr_init(r24021);
        mpfr_init(r24022);
        mpfr_init(r24023);
        mpfr_init(r24024);
        mpfr_init(r24025);
        mpfr_init(r24026);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24007, n, MPFR_RNDN);
        mpfr_mul(r24008, r24006, r24007, MPFR_RNDN);
        mpfr_set_d(r24009, U, MPFR_RNDN);
        mpfr_mul(r24010, r24008, r24009, MPFR_RNDN);
        mpfr_set_d(r24011, t, MPFR_RNDN);
        mpfr_set_d(r24012, l, MPFR_RNDN);
        mpfr_mul(r24013, r24012, r24012, MPFR_RNDN);
        mpfr_set_d(r24014, Om, MPFR_RNDN);
        mpfr_div(r24015, r24013, r24014, MPFR_RNDN);
        mpfr_mul(r24016, r24006, r24015, MPFR_RNDN);
        mpfr_sub(r24017, r24011, r24016, MPFR_RNDN);
        mpfr_div(r24018, r24012, r24014, MPFR_RNDN);
        mpfr_pow(r24019, r24018, r24006, MPFR_RNDN);
        mpfr_mul(r24020, r24007, r24019, MPFR_RNDN);
        mpfr_set_d(r24021, U_, MPFR_RNDN);
        mpfr_sub(r24022, r24009, r24021, MPFR_RNDN);
        mpfr_mul(r24023, r24020, r24022, MPFR_RNDN);
        mpfr_sub(r24024, r24017, r24023, MPFR_RNDN);
        mpfr_mul(r24025, r24010, r24024, MPFR_RNDN);
        mpfr_sqrt(r24026, r24025, MPFR_RNDN);
        return mpfr_get_d(r24026, MPFR_RNDN);
}

static mpfr_t r24027, r24028, r24029, r24030, r24031, r24032, r24033, r24034, r24035, r24036, r24037, r24038, r24039, r24040, r24041, r24042, r24043, r24044, r24045, r24046, r24047, r24048, r24049, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24027, "2", 10, MPFR_RNDN);
        mpfr_init(r24028);
        mpfr_init(r24029);
        mpfr_init(r24030);
        mpfr_init(r24031);
        mpfr_init_set_str(r24032, "-3.1204010641751195e-302", 10, MPFR_RNDN);
        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(r24042);
        mpfr_init(r24043);
        mpfr_init(r24044);
        mpfr_init(r24045);
        mpfr_init(r24046);
        mpfr_init(r24047);
        mpfr_init_set_str(r24048, "0", 10, MPFR_RNDN);
        mpfr_init(r24049);
        mpfr_init(r24050);
        mpfr_init(r24051);
        mpfr_init(r24052);
        mpfr_init(r24053);
        mpfr_init_set_str(r24054, "1.9257269512662607e-308", 10, MPFR_RNDN);
        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(r24068);
        mpfr_init(r24069);
        mpfr_init(r24070);
        mpfr_init(r24071);
        mpfr_init(r24072);
        mpfr_init(r24073);
        mpfr_init(r24074);
        mpfr_init(r24075);
        mpfr_init(r24076);
        mpfr_init(r24077);
        mpfr_init(r24078);
        mpfr_init(r24079);
        mpfr_init(r24080);
        mpfr_init(r24081);
        mpfr_init(r24082);
        mpfr_init(r24083);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24028, U, MPFR_RNDN);
        mpfr_set_d(r24029, n, MPFR_RNDN);
        mpfr_mul(r24030, r24028, r24029, MPFR_RNDN);
        mpfr_mul(r24031, r24027, r24030, MPFR_RNDN);
        ;
        mpfr_set_si(r24033, mpfr_cmp(r24031, r24032) <= 0, MPFR_RNDN);
        mpfr_mul(r24034, r24030, r24027, MPFR_RNDN);
        mpfr_set_d(r24035, l, MPFR_RNDN);
        mpfr_set_d(r24036, Om, MPFR_RNDN);
        mpfr_div(r24037, r24035, r24036, MPFR_RNDN);
        mpfr_set_d(r24038, U_, MPFR_RNDN);
        mpfr_sub(r24039, r24038, r24028, MPFR_RNDN);
        mpfr_mul(r24040, r24037, r24029, MPFR_RNDN);
        mpfr_mul(r24041, r24039, r24040, MPFR_RNDN);
        mpfr_set_d(r24042, t, MPFR_RNDN);
        mpfr_mul(r24043, r24035, r24027, MPFR_RNDN);
        mpfr_mul(r24044, r24043, r24037, MPFR_RNDN);
        mpfr_sub(r24045, r24042, r24044, MPFR_RNDN);
        mpfr_fma(r24046, r24037, r24041, r24045, MPFR_RNDN);
        mpfr_mul(r24047, r24034, r24046, MPFR_RNDN);
        ;
        mpfr_mul(r24049, r24048, r24029, MPFR_RNDN);
        mpfr_mul(r24050, r24028, r24027, MPFR_RNDN);
        mpfr_mul(r24051, r24049, r24050, MPFR_RNDN);
        mpfr_add(r24052, r24047, r24051, MPFR_RNDN);
        mpfr_sqrt(r24053, r24052, MPFR_RNDN);
        ;
        mpfr_set_si(r24055, mpfr_cmp(r24031, r24054) <= 0, MPFR_RNDN);
        mpfr_div(r24056, r24029, r24036, MPFR_RNDN);
        mpfr_mul(r24057, r24056, r24056, MPFR_RNDN);
        mpfr_mul(r24058, r24038, r24028, MPFR_RNDN);
        mpfr_mul(r24059, r24035, r24035, MPFR_RNDN);
        mpfr_mul(r24060, r24058, r24059, MPFR_RNDN);
        mpfr_mul(r24061, r24035, r24028, MPFR_RNDN);
        mpfr_mul(r24062, r24061, r24061, MPFR_RNDN);
        mpfr_sub(r24063, r24060, r24062, MPFR_RNDN);
        mpfr_mul(r24064, r24057, r24063, MPFR_RNDN);
        mpfr_mul(r24065, r24042, r24029, MPFR_RNDN);
        mpfr_mul(r24066, r24050, r24065, MPFR_RNDN);
        mpfr_fma(r24067, r24027, r24064, r24066, MPFR_RNDN);
        mpfr_sqrt(r24068, r24067, MPFR_RNDN);
        mpfr_mul(r24069, r24027, r24029, MPFR_RNDN);
        mpfr_mul(r24070, r24069, r24028, MPFR_RNDN);
        mpfr_sqrt(r24071, r24070, MPFR_RNDN);
        mpfr_div(r24072, r24059, r24036, MPFR_RNDN);
        mpfr_mul(r24073, r24027, r24072, MPFR_RNDN);
        mpfr_sub(r24074, r24042, r24073, MPFR_RNDN);
        mpfr_pow(r24075, r24037, r24027, MPFR_RNDN);
        mpfr_mul(r24076, r24029, r24075, MPFR_RNDN);
        mpfr_sub(r24077, r24028, r24038, MPFR_RNDN);
        mpfr_mul(r24078, r24076, r24077, MPFR_RNDN);
        mpfr_sub(r24079, r24074, r24078, MPFR_RNDN);
        mpfr_sqrt(r24080, r24079, MPFR_RNDN);
        mpfr_mul(r24081, r24071, r24080, MPFR_RNDN);
        if (mpfr_get_si(r24055, MPFR_RNDN)) { mpfr_set(r24082, r24068, MPFR_RNDN); } else { mpfr_set(r24082, r24081, MPFR_RNDN); };
        if (mpfr_get_si(r24033, MPFR_RNDN)) { mpfr_set(r24083, r24053, MPFR_RNDN); } else { mpfr_set(r24083, r24082, MPFR_RNDN); };
        return mpfr_get_d(r24083, MPFR_RNDN);
}

static mpfr_t r24084, r24085, r24086, r24087, r24088, r24089, r24090, r24091, r24092, r24093, r24094, r24095, r24096, r24097, r24098, r24099, r24100, r24101, r24102, r24103, r24104, r24105, r24106, r24107, r24108, r24109, r24110, r24111, r24112, r24113, r24114, r24115, r24116, r24117, r24118, r24119, r24120, r24121, r24122, r24123, r24124, r24125, r24126, r24127, r24128, r24129, r24130, r24131, r24132, r24133, r24134, r24135, r24136, r24137, r24138, r24139, r24140;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24084, "2", 10, MPFR_RNDN);
        mpfr_init(r24085);
        mpfr_init(r24086);
        mpfr_init(r24087);
        mpfr_init(r24088);
        mpfr_init_set_str(r24089, "-3.1204010641751195e-302", 10, MPFR_RNDN);
        mpfr_init(r24090);
        mpfr_init(r24091);
        mpfr_init(r24092);
        mpfr_init(r24093);
        mpfr_init(r24094);
        mpfr_init(r24095);
        mpfr_init(r24096);
        mpfr_init(r24097);
        mpfr_init(r24098);
        mpfr_init(r24099);
        mpfr_init(r24100);
        mpfr_init(r24101);
        mpfr_init(r24102);
        mpfr_init(r24103);
        mpfr_init(r24104);
        mpfr_init_set_str(r24105, "0", 10, MPFR_RNDN);
        mpfr_init(r24106);
        mpfr_init(r24107);
        mpfr_init(r24108);
        mpfr_init(r24109);
        mpfr_init(r24110);
        mpfr_init_set_str(r24111, "1.9257269512662607e-308", 10, MPFR_RNDN);
        mpfr_init(r24112);
        mpfr_init(r24113);
        mpfr_init(r24114);
        mpfr_init(r24115);
        mpfr_init(r24116);
        mpfr_init(r24117);
        mpfr_init(r24118);
        mpfr_init(r24119);
        mpfr_init(r24120);
        mpfr_init(r24121);
        mpfr_init(r24122);
        mpfr_init(r24123);
        mpfr_init(r24124);
        mpfr_init(r24125);
        mpfr_init(r24126);
        mpfr_init(r24127);
        mpfr_init(r24128);
        mpfr_init(r24129);
        mpfr_init(r24130);
        mpfr_init(r24131);
        mpfr_init(r24132);
        mpfr_init(r24133);
        mpfr_init(r24134);
        mpfr_init(r24135);
        mpfr_init(r24136);
        mpfr_init(r24137);
        mpfr_init(r24138);
        mpfr_init(r24139);
        mpfr_init(r24140);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24085, U, MPFR_RNDN);
        mpfr_set_d(r24086, n, MPFR_RNDN);
        mpfr_mul(r24087, r24085, r24086, MPFR_RNDN);
        mpfr_mul(r24088, r24084, r24087, MPFR_RNDN);
        ;
        mpfr_set_si(r24090, mpfr_cmp(r24088, r24089) <= 0, MPFR_RNDN);
        mpfr_mul(r24091, r24087, r24084, MPFR_RNDN);
        mpfr_set_d(r24092, l, MPFR_RNDN);
        mpfr_set_d(r24093, Om, MPFR_RNDN);
        mpfr_div(r24094, r24092, r24093, MPFR_RNDN);
        mpfr_set_d(r24095, U_, MPFR_RNDN);
        mpfr_sub(r24096, r24095, r24085, MPFR_RNDN);
        mpfr_mul(r24097, r24094, r24086, MPFR_RNDN);
        mpfr_mul(r24098, r24096, r24097, MPFR_RNDN);
        mpfr_set_d(r24099, t, MPFR_RNDN);
        mpfr_mul(r24100, r24092, r24084, MPFR_RNDN);
        mpfr_mul(r24101, r24100, r24094, MPFR_RNDN);
        mpfr_sub(r24102, r24099, r24101, MPFR_RNDN);
        mpfr_fma(r24103, r24094, r24098, r24102, MPFR_RNDN);
        mpfr_mul(r24104, r24091, r24103, MPFR_RNDN);
        ;
        mpfr_mul(r24106, r24105, r24086, MPFR_RNDN);
        mpfr_mul(r24107, r24085, r24084, MPFR_RNDN);
        mpfr_mul(r24108, r24106, r24107, MPFR_RNDN);
        mpfr_add(r24109, r24104, r24108, MPFR_RNDN);
        mpfr_sqrt(r24110, r24109, MPFR_RNDN);
        ;
        mpfr_set_si(r24112, mpfr_cmp(r24088, r24111) <= 0, MPFR_RNDN);
        mpfr_div(r24113, r24086, r24093, MPFR_RNDN);
        mpfr_mul(r24114, r24113, r24113, MPFR_RNDN);
        mpfr_mul(r24115, r24095, r24085, MPFR_RNDN);
        mpfr_mul(r24116, r24092, r24092, MPFR_RNDN);
        mpfr_mul(r24117, r24115, r24116, MPFR_RNDN);
        mpfr_mul(r24118, r24092, r24085, MPFR_RNDN);
        mpfr_mul(r24119, r24118, r24118, MPFR_RNDN);
        mpfr_sub(r24120, r24117, r24119, MPFR_RNDN);
        mpfr_mul(r24121, r24114, r24120, MPFR_RNDN);
        mpfr_mul(r24122, r24099, r24086, MPFR_RNDN);
        mpfr_mul(r24123, r24107, r24122, MPFR_RNDN);
        mpfr_fma(r24124, r24084, r24121, r24123, MPFR_RNDN);
        mpfr_sqrt(r24125, r24124, MPFR_RNDN);
        mpfr_mul(r24126, r24084, r24086, MPFR_RNDN);
        mpfr_mul(r24127, r24126, r24085, MPFR_RNDN);
        mpfr_sqrt(r24128, r24127, MPFR_RNDN);
        mpfr_div(r24129, r24116, r24093, MPFR_RNDN);
        mpfr_mul(r24130, r24084, r24129, MPFR_RNDN);
        mpfr_sub(r24131, r24099, r24130, MPFR_RNDN);
        mpfr_pow(r24132, r24094, r24084, MPFR_RNDN);
        mpfr_mul(r24133, r24086, r24132, MPFR_RNDN);
        mpfr_sub(r24134, r24085, r24095, MPFR_RNDN);
        mpfr_mul(r24135, r24133, r24134, MPFR_RNDN);
        mpfr_sub(r24136, r24131, r24135, MPFR_RNDN);
        mpfr_sqrt(r24137, r24136, MPFR_RNDN);
        mpfr_mul(r24138, r24128, r24137, MPFR_RNDN);
        if (mpfr_get_si(r24112, MPFR_RNDN)) { mpfr_set(r24139, r24125, MPFR_RNDN); } else { mpfr_set(r24139, r24138, MPFR_RNDN); };
        if (mpfr_get_si(r24090, MPFR_RNDN)) { mpfr_set(r24140, r24110, MPFR_RNDN); } else { mpfr_set(r24140, r24139, MPFR_RNDN); };
        return mpfr_get_d(r24140, MPFR_RNDN);
}

