#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 r24838 = 2;
        float r24839 = n;
        float r24840 = r24838 * r24839;
        float r24841 = U;
        float r24842 = r24840 * r24841;
        float r24843 = t;
        float r24844 = l;
        float r24845 = r24844 * r24844;
        float r24846 = Om;
        float r24847 = r24845 / r24846;
        float r24848 = r24838 * r24847;
        float r24849 = r24843 - r24848;
        float r24850 = r24844 / r24846;
        float r24851 = pow(r24850, r24838);
        float r24852 = r24839 * r24851;
        float r24853 = U_;
        float r24854 = r24841 - r24853;
        float r24855 = r24852 * r24854;
        float r24856 = r24849 - r24855;
        float r24857 = r24842 * r24856;
        float r24858 = sqrt(r24857);
        return r24858;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24859 = 2;
        double r24860 = n;
        double r24861 = r24859 * r24860;
        double r24862 = U;
        double r24863 = r24861 * r24862;
        double r24864 = t;
        double r24865 = l;
        double r24866 = r24865 * r24865;
        double r24867 = Om;
        double r24868 = r24866 / r24867;
        double r24869 = r24859 * r24868;
        double r24870 = r24864 - r24869;
        double r24871 = r24865 / r24867;
        double r24872 = pow(r24871, r24859);
        double r24873 = r24860 * r24872;
        double r24874 = U_;
        double r24875 = r24862 - r24874;
        double r24876 = r24873 * r24875;
        double r24877 = r24870 - r24876;
        double r24878 = r24863 * r24877;
        double r24879 = sqrt(r24878);
        return r24879;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24880 = 2;
        float r24881 = U;
        float r24882 = n;
        float r24883 = r24881 * r24882;
        float r24884 = r24880 * r24883;
        float r24885 = -6.2509883817401234e+156;
        bool r24886 = r24884 <= r24885;
        float r24887 = r24880 * r24882;
        float r24888 = sqrt(r24887);
        float r24889 = t;
        float r24890 = l;
        float r24891 = Om;
        float r24892 = r24891 / r24890;
        float r24893 = r24890 / r24892;
        float r24894 = r24880 * r24893;
        float r24895 = r24889 - r24894;
        float r24896 = r24890 / r24891;
        float r24897 = pow(r24896, r24880);
        float r24898 = r24882 * r24897;
        float r24899 = U_;
        float r24900 = r24881 - r24899;
        float r24901 = r24898 * r24900;
        float r24902 = r24895 - r24901;
        float r24903 = r24881 * r24902;
        float r24904 = sqrt(r24903);
        float r24905 = r24888 * r24904;
        float r24906 = -1.4327177365352286e-252;
        bool r24907 = r24884 <= r24906;
        float r24908 = r24887 * r24881;
        float r24909 = r24908 * r24902;
        float r24910 = sqrt(r24909);
        float r24911 = 1.8977770124732815e-189;
        bool r24912 = r24884 <= r24911;
        float r24913 = r24887 * r24903;
        float r24914 = sqrt(r24913);
        float r24915 = sqrt(r24908);
        float r24916 = sqrt(r24902);
        float r24917 = r24915 * r24916;
        float r24918 = r24912 ? r24914 : r24917;
        float r24919 = r24907 ? r24910 : r24918;
        float r24920 = r24886 ? r24905 : r24919;
        return r24920;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24921 = 2;
        double r24922 = U;
        double r24923 = n;
        double r24924 = r24922 * r24923;
        double r24925 = r24921 * r24924;
        double r24926 = -6.2509883817401234e+156;
        bool r24927 = r24925 <= r24926;
        double r24928 = r24921 * r24923;
        double r24929 = sqrt(r24928);
        double r24930 = t;
        double r24931 = l;
        double r24932 = Om;
        double r24933 = r24932 / r24931;
        double r24934 = r24931 / r24933;
        double r24935 = r24921 * r24934;
        double r24936 = r24930 - r24935;
        double r24937 = r24931 / r24932;
        double r24938 = pow(r24937, r24921);
        double r24939 = r24923 * r24938;
        double r24940 = U_;
        double r24941 = r24922 - r24940;
        double r24942 = r24939 * r24941;
        double r24943 = r24936 - r24942;
        double r24944 = r24922 * r24943;
        double r24945 = sqrt(r24944);
        double r24946 = r24929 * r24945;
        double r24947 = -1.4327177365352286e-252;
        bool r24948 = r24925 <= r24947;
        double r24949 = r24928 * r24922;
        double r24950 = r24949 * r24943;
        double r24951 = sqrt(r24950);
        double r24952 = 1.8977770124732815e-189;
        bool r24953 = r24925 <= r24952;
        double r24954 = r24928 * r24944;
        double r24955 = sqrt(r24954);
        double r24956 = sqrt(r24949);
        double r24957 = sqrt(r24943);
        double r24958 = r24956 * r24957;
        double r24959 = r24953 ? r24955 : r24958;
        double r24960 = r24948 ? r24951 : r24959;
        double r24961 = r24927 ? r24946 : r24960;
        return r24961;
}

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 r24962, r24963, r24964, r24965, r24966, r24967, r24968, r24969, r24970, r24971, r24972, r24973, r24974, r24975, r24976, r24977, r24978, r24979, r24980, r24981, r24982;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24962, "2", 10, MPFR_RNDN);
        mpfr_init(r24963);
        mpfr_init(r24964);
        mpfr_init(r24965);
        mpfr_init(r24966);
        mpfr_init(r24967);
        mpfr_init(r24968);
        mpfr_init(r24969);
        mpfr_init(r24970);
        mpfr_init(r24971);
        mpfr_init(r24972);
        mpfr_init(r24973);
        mpfr_init(r24974);
        mpfr_init(r24975);
        mpfr_init(r24976);
        mpfr_init(r24977);
        mpfr_init(r24978);
        mpfr_init(r24979);
        mpfr_init(r24980);
        mpfr_init(r24981);
        mpfr_init(r24982);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24963, n, MPFR_RNDN);
        mpfr_mul(r24964, r24962, r24963, MPFR_RNDN);
        mpfr_set_d(r24965, U, MPFR_RNDN);
        mpfr_mul(r24966, r24964, r24965, MPFR_RNDN);
        mpfr_set_d(r24967, t, MPFR_RNDN);
        mpfr_set_d(r24968, l, MPFR_RNDN);
        mpfr_mul(r24969, r24968, r24968, MPFR_RNDN);
        mpfr_set_d(r24970, Om, MPFR_RNDN);
        mpfr_div(r24971, r24969, r24970, MPFR_RNDN);
        mpfr_mul(r24972, r24962, r24971, MPFR_RNDN);
        mpfr_sub(r24973, r24967, r24972, MPFR_RNDN);
        mpfr_div(r24974, r24968, r24970, MPFR_RNDN);
        mpfr_pow(r24975, r24974, r24962, MPFR_RNDN);
        mpfr_mul(r24976, r24963, r24975, MPFR_RNDN);
        mpfr_set_d(r24977, U_, MPFR_RNDN);
        mpfr_sub(r24978, r24965, r24977, MPFR_RNDN);
        mpfr_mul(r24979, r24976, r24978, MPFR_RNDN);
        mpfr_sub(r24980, r24973, r24979, MPFR_RNDN);
        mpfr_mul(r24981, r24966, r24980, MPFR_RNDN);
        mpfr_sqrt(r24982, r24981, MPFR_RNDN);
        return mpfr_get_d(r24982, MPFR_RNDN);
}

static mpfr_t r24983, r24984, r24985, r24986, r24987, r24988, r24989, r24990, r24991, r24992, r24993, r24994, r24995, r24996, r24997, r24998, r24999, r25000, r25001, r25002, r25003, r25004, r25005, r25006, r25007, r25008, r25009, r25010, r25011, r25012, r25013, r25014, r25015, r25016, r25017, r25018, r25019, r25020, r25021, r25022, r25023;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24983, "2", 10, MPFR_RNDN);
        mpfr_init(r24984);
        mpfr_init(r24985);
        mpfr_init(r24986);
        mpfr_init(r24987);
        mpfr_init_set_str(r24988, "-6.2509883817401234e+156", 10, MPFR_RNDN);
        mpfr_init(r24989);
        mpfr_init(r24990);
        mpfr_init(r24991);
        mpfr_init(r24992);
        mpfr_init(r24993);
        mpfr_init(r24994);
        mpfr_init(r24995);
        mpfr_init(r24996);
        mpfr_init(r24997);
        mpfr_init(r24998);
        mpfr_init(r24999);
        mpfr_init(r25000);
        mpfr_init(r25001);
        mpfr_init(r25002);
        mpfr_init(r25003);
        mpfr_init(r25004);
        mpfr_init(r25005);
        mpfr_init(r25006);
        mpfr_init(r25007);
        mpfr_init(r25008);
        mpfr_init_set_str(r25009, "-1.4327177365352286e-252", 10, MPFR_RNDN);
        mpfr_init(r25010);
        mpfr_init(r25011);
        mpfr_init(r25012);
        mpfr_init(r25013);
        mpfr_init_set_str(r25014, "1.8977770124732815e-189", 10, MPFR_RNDN);
        mpfr_init(r25015);
        mpfr_init(r25016);
        mpfr_init(r25017);
        mpfr_init(r25018);
        mpfr_init(r25019);
        mpfr_init(r25020);
        mpfr_init(r25021);
        mpfr_init(r25022);
        mpfr_init(r25023);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24984, U, MPFR_RNDN);
        mpfr_set_d(r24985, n, MPFR_RNDN);
        mpfr_mul(r24986, r24984, r24985, MPFR_RNDN);
        mpfr_mul(r24987, r24983, r24986, MPFR_RNDN);
        ;
        mpfr_set_si(r24989, mpfr_cmp(r24987, r24988) <= 0, MPFR_RNDN);
        mpfr_mul(r24990, r24983, r24985, MPFR_RNDN);
        mpfr_sqrt(r24991, r24990, MPFR_RNDN);
        mpfr_set_d(r24992, t, MPFR_RNDN);
        mpfr_set_d(r24993, l, MPFR_RNDN);
        mpfr_set_d(r24994, Om, MPFR_RNDN);
        mpfr_div(r24995, r24994, r24993, MPFR_RNDN);
        mpfr_div(r24996, r24993, r24995, MPFR_RNDN);
        mpfr_mul(r24997, r24983, r24996, MPFR_RNDN);
        mpfr_sub(r24998, r24992, r24997, MPFR_RNDN);
        mpfr_div(r24999, r24993, r24994, MPFR_RNDN);
        mpfr_pow(r25000, r24999, r24983, MPFR_RNDN);
        mpfr_mul(r25001, r24985, r25000, MPFR_RNDN);
        mpfr_set_d(r25002, U_, MPFR_RNDN);
        mpfr_sub(r25003, r24984, r25002, MPFR_RNDN);
        mpfr_mul(r25004, r25001, r25003, MPFR_RNDN);
        mpfr_sub(r25005, r24998, r25004, MPFR_RNDN);
        mpfr_mul(r25006, r24984, r25005, MPFR_RNDN);
        mpfr_sqrt(r25007, r25006, MPFR_RNDN);
        mpfr_mul(r25008, r24991, r25007, MPFR_RNDN);
        ;
        mpfr_set_si(r25010, mpfr_cmp(r24987, r25009) <= 0, MPFR_RNDN);
        mpfr_mul(r25011, r24990, r24984, MPFR_RNDN);
        mpfr_mul(r25012, r25011, r25005, MPFR_RNDN);
        mpfr_sqrt(r25013, r25012, MPFR_RNDN);
        ;
        mpfr_set_si(r25015, mpfr_cmp(r24987, r25014) <= 0, MPFR_RNDN);
        mpfr_mul(r25016, r24990, r25006, MPFR_RNDN);
        mpfr_sqrt(r25017, r25016, MPFR_RNDN);
        mpfr_sqrt(r25018, r25011, MPFR_RNDN);
        mpfr_sqrt(r25019, r25005, MPFR_RNDN);
        mpfr_mul(r25020, r25018, r25019, MPFR_RNDN);
        if (mpfr_get_si(r25015, MPFR_RNDN)) { mpfr_set(r25021, r25017, MPFR_RNDN); } else { mpfr_set(r25021, r25020, MPFR_RNDN); };
        if (mpfr_get_si(r25010, MPFR_RNDN)) { mpfr_set(r25022, r25013, MPFR_RNDN); } else { mpfr_set(r25022, r25021, MPFR_RNDN); };
        if (mpfr_get_si(r24989, MPFR_RNDN)) { mpfr_set(r25023, r25008, MPFR_RNDN); } else { mpfr_set(r25023, r25022, MPFR_RNDN); };
        return mpfr_get_d(r25023, MPFR_RNDN);
}

static mpfr_t r25024, r25025, r25026, r25027, r25028, r25029, r25030, r25031, r25032, r25033, r25034, r25035, r25036, r25037, r25038, r25039, r25040, r25041, r25042, r25043, r25044, r25045, r25046, r25047, r25048, r25049, r25050, r25051, r25052, r25053, r25054, r25055, r25056, r25057, r25058, r25059, r25060, r25061, r25062, r25063, r25064;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25024, "2", 10, MPFR_RNDN);
        mpfr_init(r25025);
        mpfr_init(r25026);
        mpfr_init(r25027);
        mpfr_init(r25028);
        mpfr_init_set_str(r25029, "-6.2509883817401234e+156", 10, MPFR_RNDN);
        mpfr_init(r25030);
        mpfr_init(r25031);
        mpfr_init(r25032);
        mpfr_init(r25033);
        mpfr_init(r25034);
        mpfr_init(r25035);
        mpfr_init(r25036);
        mpfr_init(r25037);
        mpfr_init(r25038);
        mpfr_init(r25039);
        mpfr_init(r25040);
        mpfr_init(r25041);
        mpfr_init(r25042);
        mpfr_init(r25043);
        mpfr_init(r25044);
        mpfr_init(r25045);
        mpfr_init(r25046);
        mpfr_init(r25047);
        mpfr_init(r25048);
        mpfr_init(r25049);
        mpfr_init_set_str(r25050, "-1.4327177365352286e-252", 10, MPFR_RNDN);
        mpfr_init(r25051);
        mpfr_init(r25052);
        mpfr_init(r25053);
        mpfr_init(r25054);
        mpfr_init_set_str(r25055, "1.8977770124732815e-189", 10, MPFR_RNDN);
        mpfr_init(r25056);
        mpfr_init(r25057);
        mpfr_init(r25058);
        mpfr_init(r25059);
        mpfr_init(r25060);
        mpfr_init(r25061);
        mpfr_init(r25062);
        mpfr_init(r25063);
        mpfr_init(r25064);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25025, U, MPFR_RNDN);
        mpfr_set_d(r25026, n, MPFR_RNDN);
        mpfr_mul(r25027, r25025, r25026, MPFR_RNDN);
        mpfr_mul(r25028, r25024, r25027, MPFR_RNDN);
        ;
        mpfr_set_si(r25030, mpfr_cmp(r25028, r25029) <= 0, MPFR_RNDN);
        mpfr_mul(r25031, r25024, r25026, MPFR_RNDN);
        mpfr_sqrt(r25032, r25031, MPFR_RNDN);
        mpfr_set_d(r25033, t, MPFR_RNDN);
        mpfr_set_d(r25034, l, MPFR_RNDN);
        mpfr_set_d(r25035, Om, MPFR_RNDN);
        mpfr_div(r25036, r25035, r25034, MPFR_RNDN);
        mpfr_div(r25037, r25034, r25036, MPFR_RNDN);
        mpfr_mul(r25038, r25024, r25037, MPFR_RNDN);
        mpfr_sub(r25039, r25033, r25038, MPFR_RNDN);
        mpfr_div(r25040, r25034, r25035, MPFR_RNDN);
        mpfr_pow(r25041, r25040, r25024, MPFR_RNDN);
        mpfr_mul(r25042, r25026, r25041, MPFR_RNDN);
        mpfr_set_d(r25043, U_, MPFR_RNDN);
        mpfr_sub(r25044, r25025, r25043, MPFR_RNDN);
        mpfr_mul(r25045, r25042, r25044, MPFR_RNDN);
        mpfr_sub(r25046, r25039, r25045, MPFR_RNDN);
        mpfr_mul(r25047, r25025, r25046, MPFR_RNDN);
        mpfr_sqrt(r25048, r25047, MPFR_RNDN);
        mpfr_mul(r25049, r25032, r25048, MPFR_RNDN);
        ;
        mpfr_set_si(r25051, mpfr_cmp(r25028, r25050) <= 0, MPFR_RNDN);
        mpfr_mul(r25052, r25031, r25025, MPFR_RNDN);
        mpfr_mul(r25053, r25052, r25046, MPFR_RNDN);
        mpfr_sqrt(r25054, r25053, MPFR_RNDN);
        ;
        mpfr_set_si(r25056, mpfr_cmp(r25028, r25055) <= 0, MPFR_RNDN);
        mpfr_mul(r25057, r25031, r25047, MPFR_RNDN);
        mpfr_sqrt(r25058, r25057, MPFR_RNDN);
        mpfr_sqrt(r25059, r25052, MPFR_RNDN);
        mpfr_sqrt(r25060, r25046, MPFR_RNDN);
        mpfr_mul(r25061, r25059, r25060, MPFR_RNDN);
        if (mpfr_get_si(r25056, MPFR_RNDN)) { mpfr_set(r25062, r25058, MPFR_RNDN); } else { mpfr_set(r25062, r25061, MPFR_RNDN); };
        if (mpfr_get_si(r25051, MPFR_RNDN)) { mpfr_set(r25063, r25054, MPFR_RNDN); } else { mpfr_set(r25063, r25062, MPFR_RNDN); };
        if (mpfr_get_si(r25030, MPFR_RNDN)) { mpfr_set(r25064, r25049, MPFR_RNDN); } else { mpfr_set(r25064, r25063, MPFR_RNDN); };
        return mpfr_get_d(r25064, MPFR_RNDN);
}