#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 r24822 = 2;
        float r24823 = n;
        float r24824 = r24822 * r24823;
        float r24825 = U;
        float r24826 = r24824 * r24825;
        float r24827 = t;
        float r24828 = l;
        float r24829 = r24828 * r24828;
        float r24830 = Om;
        float r24831 = r24829 / r24830;
        float r24832 = r24822 * r24831;
        float r24833 = r24827 - r24832;
        float r24834 = r24828 / r24830;
        float r24835 = pow(r24834, r24822);
        float r24836 = r24823 * r24835;
        float r24837 = U_;
        float r24838 = r24825 - r24837;
        float r24839 = r24836 * r24838;
        float r24840 = r24833 - r24839;
        float r24841 = r24826 * r24840;
        float r24842 = sqrt(r24841);
        return r24842;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24843 = 2;
        double r24844 = n;
        double r24845 = r24843 * r24844;
        double r24846 = U;
        double r24847 = r24845 * r24846;
        double r24848 = t;
        double r24849 = l;
        double r24850 = r24849 * r24849;
        double r24851 = Om;
        double r24852 = r24850 / r24851;
        double r24853 = r24843 * r24852;
        double r24854 = r24848 - r24853;
        double r24855 = r24849 / r24851;
        double r24856 = pow(r24855, r24843);
        double r24857 = r24844 * r24856;
        double r24858 = U_;
        double r24859 = r24846 - r24858;
        double r24860 = r24857 * r24859;
        double r24861 = r24854 - r24860;
        double r24862 = r24847 * r24861;
        double r24863 = sqrt(r24862);
        return r24863;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24864 = U;
        float r24865 = n;
        float r24866 = r24864 * r24865;
        float r24867 = 2;
        float r24868 = r24866 * r24867;
        float r24869 = l;
        float r24870 = Om;
        float r24871 = r24869 / r24870;
        float r24872 = U_;
        float r24873 = r24872 - r24864;
        float r24874 = r24871 * r24865;
        float r24875 = r24873 * r24874;
        float r24876 = t;
        float r24877 = r24869 * r24867;
        float r24878 = r24877 * r24871;
        float r24879 = r24876 - r24878;
        float r24880 = fma(r24871, r24875, r24879);
        float r24881 = r24868 * r24880;
        float r24882 = 0;
        float r24883 = r24882 * r24865;
        float r24884 = r24864 * r24867;
        float r24885 = r24883 * r24884;
        float r24886 = r24881 + r24885;
        float r24887 = 1/2;
        float r24888 = pow(r24886, r24887);
        float r24889 = 1.813103842402902e-130;
        bool r24890 = r24888 <= r24889;
        float r24891 = r24867 * r24865;
        float r24892 = r24869 * r24869;
        float r24893 = r24892 / r24870;
        float r24894 = r24867 * r24893;
        float r24895 = r24876 - r24894;
        float r24896 = pow(r24871, r24867);
        float r24897 = r24865 * r24896;
        float r24898 = r24864 - r24872;
        float r24899 = r24897 * r24898;
        float r24900 = r24895 - r24899;
        float r24901 = r24864 * r24900;
        float r24902 = r24891 * r24901;
        float r24903 = sqrt(r24902);
        float r24904 = 2.3807067805245264e+147;
        bool r24905 = r24888 <= r24904;
        float r24906 = r24891 * r24864;
        float r24907 = sqrt(r24906);
        float r24908 = sqrt(r24900);
        float r24909 = r24907 * r24908;
        float r24910 = r24905 ? r24888 : r24909;
        float r24911 = r24890 ? r24903 : r24910;
        return r24911;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24912 = U;
        double r24913 = n;
        double r24914 = r24912 * r24913;
        double r24915 = 2;
        double r24916 = r24914 * r24915;
        double r24917 = l;
        double r24918 = Om;
        double r24919 = r24917 / r24918;
        double r24920 = U_;
        double r24921 = r24920 - r24912;
        double r24922 = r24919 * r24913;
        double r24923 = r24921 * r24922;
        double r24924 = t;
        double r24925 = r24917 * r24915;
        double r24926 = r24925 * r24919;
        double r24927 = r24924 - r24926;
        double r24928 = fma(r24919, r24923, r24927);
        double r24929 = r24916 * r24928;
        double r24930 = 0;
        double r24931 = r24930 * r24913;
        double r24932 = r24912 * r24915;
        double r24933 = r24931 * r24932;
        double r24934 = r24929 + r24933;
        double r24935 = 1/2;
        double r24936 = pow(r24934, r24935);
        double r24937 = 1.813103842402902e-130;
        bool r24938 = r24936 <= r24937;
        double r24939 = r24915 * r24913;
        double r24940 = r24917 * r24917;
        double r24941 = r24940 / r24918;
        double r24942 = r24915 * r24941;
        double r24943 = r24924 - r24942;
        double r24944 = pow(r24919, r24915);
        double r24945 = r24913 * r24944;
        double r24946 = r24912 - r24920;
        double r24947 = r24945 * r24946;
        double r24948 = r24943 - r24947;
        double r24949 = r24912 * r24948;
        double r24950 = r24939 * r24949;
        double r24951 = sqrt(r24950);
        double r24952 = 2.3807067805245264e+147;
        bool r24953 = r24936 <= r24952;
        double r24954 = r24939 * r24912;
        double r24955 = sqrt(r24954);
        double r24956 = sqrt(r24948);
        double r24957 = r24955 * r24956;
        double r24958 = r24953 ? r24936 : r24957;
        double r24959 = r24938 ? r24951 : r24958;
        return r24959;
}

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 r24960, r24961, r24962, r24963, r24964, r24965, r24966, r24967, r24968, r24969, r24970, r24971, r24972, r24973, r24974, r24975, r24976, r24977, r24978, r24979, r24980;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24960, "2", 10, MPFR_RNDN);
        mpfr_init(r24961);
        mpfr_init(r24962);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24961, n, MPFR_RNDN);
        mpfr_mul(r24962, r24960, r24961, MPFR_RNDN);
        mpfr_set_d(r24963, U, MPFR_RNDN);
        mpfr_mul(r24964, r24962, r24963, MPFR_RNDN);
        mpfr_set_d(r24965, t, MPFR_RNDN);
        mpfr_set_d(r24966, l, MPFR_RNDN);
        mpfr_mul(r24967, r24966, r24966, MPFR_RNDN);
        mpfr_set_d(r24968, Om, MPFR_RNDN);
        mpfr_div(r24969, r24967, r24968, MPFR_RNDN);
        mpfr_mul(r24970, r24960, r24969, MPFR_RNDN);
        mpfr_sub(r24971, r24965, r24970, MPFR_RNDN);
        mpfr_div(r24972, r24966, r24968, MPFR_RNDN);
        mpfr_pow(r24973, r24972, r24960, MPFR_RNDN);
        mpfr_mul(r24974, r24961, r24973, MPFR_RNDN);
        mpfr_set_d(r24975, U_, MPFR_RNDN);
        mpfr_sub(r24976, r24963, r24975, MPFR_RNDN);
        mpfr_mul(r24977, r24974, r24976, MPFR_RNDN);
        mpfr_sub(r24978, r24971, r24977, MPFR_RNDN);
        mpfr_mul(r24979, r24964, r24978, MPFR_RNDN);
        mpfr_sqrt(r24980, r24979, MPFR_RNDN);
        return mpfr_get_d(r24980, MPFR_RNDN);
}

static mpfr_t r24981, r24982, 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, r25024, r25025, r25026, r25027, r25028;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24981);
        mpfr_init(r24982);
        mpfr_init(r24983);
        mpfr_init_set_str(r24984, "2", 10, MPFR_RNDN);
        mpfr_init(r24985);
        mpfr_init(r24986);
        mpfr_init(r24987);
        mpfr_init(r24988);
        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_set_str(r24999, "0", 10, MPFR_RNDN);
        mpfr_init(r25000);
        mpfr_init(r25001);
        mpfr_init(r25002);
        mpfr_init(r25003);
        mpfr_init_set_str(r25004, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25005);
        mpfr_init_set_str(r25006, "1.813103842402902e-130", 10, MPFR_RNDN);
        mpfr_init(r25007);
        mpfr_init(r25008);
        mpfr_init(r25009);
        mpfr_init(r25010);
        mpfr_init(r25011);
        mpfr_init(r25012);
        mpfr_init(r25013);
        mpfr_init(r25014);
        mpfr_init(r25015);
        mpfr_init(r25016);
        mpfr_init(r25017);
        mpfr_init(r25018);
        mpfr_init(r25019);
        mpfr_init(r25020);
        mpfr_init_set_str(r25021, "2.3807067805245264e+147", 10, MPFR_RNDN);
        mpfr_init(r25022);
        mpfr_init(r25023);
        mpfr_init(r25024);
        mpfr_init(r25025);
        mpfr_init(r25026);
        mpfr_init(r25027);
        mpfr_init(r25028);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24981, U, MPFR_RNDN);
        mpfr_set_d(r24982, n, MPFR_RNDN);
        mpfr_mul(r24983, r24981, r24982, MPFR_RNDN);
        ;
        mpfr_mul(r24985, r24983, r24984, MPFR_RNDN);
        mpfr_set_d(r24986, l, MPFR_RNDN);
        mpfr_set_d(r24987, Om, MPFR_RNDN);
        mpfr_div(r24988, r24986, r24987, MPFR_RNDN);
        mpfr_set_d(r24989, U_, MPFR_RNDN);
        mpfr_sub(r24990, r24989, r24981, MPFR_RNDN);
        mpfr_mul(r24991, r24988, r24982, MPFR_RNDN);
        mpfr_mul(r24992, r24990, r24991, MPFR_RNDN);
        mpfr_set_d(r24993, t, MPFR_RNDN);
        mpfr_mul(r24994, r24986, r24984, MPFR_RNDN);
        mpfr_mul(r24995, r24994, r24988, MPFR_RNDN);
        mpfr_sub(r24996, r24993, r24995, MPFR_RNDN);
        mpfr_fma(r24997, r24988, r24992, r24996, MPFR_RNDN);
        mpfr_mul(r24998, r24985, r24997, MPFR_RNDN);
        ;
        mpfr_mul(r25000, r24999, r24982, MPFR_RNDN);
        mpfr_mul(r25001, r24981, r24984, MPFR_RNDN);
        mpfr_mul(r25002, r25000, r25001, MPFR_RNDN);
        mpfr_add(r25003, r24998, r25002, MPFR_RNDN);
        ;
        mpfr_pow(r25005, r25003, r25004, MPFR_RNDN);
        ;
        mpfr_set_si(r25007, mpfr_cmp(r25005, r25006) <= 0, MPFR_RNDN);
        mpfr_mul(r25008, r24984, r24982, MPFR_RNDN);
        mpfr_mul(r25009, r24986, r24986, MPFR_RNDN);
        mpfr_div(r25010, r25009, r24987, MPFR_RNDN);
        mpfr_mul(r25011, r24984, r25010, MPFR_RNDN);
        mpfr_sub(r25012, r24993, r25011, MPFR_RNDN);
        mpfr_pow(r25013, r24988, r24984, MPFR_RNDN);
        mpfr_mul(r25014, r24982, r25013, MPFR_RNDN);
        mpfr_sub(r25015, r24981, r24989, MPFR_RNDN);
        mpfr_mul(r25016, r25014, r25015, MPFR_RNDN);
        mpfr_sub(r25017, r25012, r25016, MPFR_RNDN);
        mpfr_mul(r25018, r24981, r25017, MPFR_RNDN);
        mpfr_mul(r25019, r25008, r25018, MPFR_RNDN);
        mpfr_sqrt(r25020, r25019, MPFR_RNDN);
        ;
        mpfr_set_si(r25022, mpfr_cmp(r25005, r25021) <= 0, MPFR_RNDN);
        mpfr_mul(r25023, r25008, r24981, MPFR_RNDN);
        mpfr_sqrt(r25024, r25023, MPFR_RNDN);
        mpfr_sqrt(r25025, r25017, MPFR_RNDN);
        mpfr_mul(r25026, r25024, r25025, MPFR_RNDN);
        if (mpfr_get_si(r25022, MPFR_RNDN)) { mpfr_set(r25027, r25005, MPFR_RNDN); } else { mpfr_set(r25027, r25026, MPFR_RNDN); };
        if (mpfr_get_si(r25007, MPFR_RNDN)) { mpfr_set(r25028, r25020, MPFR_RNDN); } else { mpfr_set(r25028, r25027, MPFR_RNDN); };
        return mpfr_get_d(r25028, MPFR_RNDN);
}

static mpfr_t 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, r25065, r25066, r25067, r25068, r25069, r25070, r25071, r25072, r25073, r25074, r25075, r25076;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r25029);
        mpfr_init(r25030);
        mpfr_init(r25031);
        mpfr_init_set_str(r25032, "2", 10, MPFR_RNDN);
        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_set_str(r25047, "0", 10, MPFR_RNDN);
        mpfr_init(r25048);
        mpfr_init(r25049);
        mpfr_init(r25050);
        mpfr_init(r25051);
        mpfr_init_set_str(r25052, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25053);
        mpfr_init_set_str(r25054, "1.813103842402902e-130", 10, MPFR_RNDN);
        mpfr_init(r25055);
        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);
        mpfr_init(r25065);
        mpfr_init(r25066);
        mpfr_init(r25067);
        mpfr_init(r25068);
        mpfr_init_set_str(r25069, "2.3807067805245264e+147", 10, MPFR_RNDN);
        mpfr_init(r25070);
        mpfr_init(r25071);
        mpfr_init(r25072);
        mpfr_init(r25073);
        mpfr_init(r25074);
        mpfr_init(r25075);
        mpfr_init(r25076);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r25029, U, MPFR_RNDN);
        mpfr_set_d(r25030, n, MPFR_RNDN);
        mpfr_mul(r25031, r25029, r25030, MPFR_RNDN);
        ;
        mpfr_mul(r25033, r25031, r25032, MPFR_RNDN);
        mpfr_set_d(r25034, l, MPFR_RNDN);
        mpfr_set_d(r25035, Om, MPFR_RNDN);
        mpfr_div(r25036, r25034, r25035, MPFR_RNDN);
        mpfr_set_d(r25037, U_, MPFR_RNDN);
        mpfr_sub(r25038, r25037, r25029, MPFR_RNDN);
        mpfr_mul(r25039, r25036, r25030, MPFR_RNDN);
        mpfr_mul(r25040, r25038, r25039, MPFR_RNDN);
        mpfr_set_d(r25041, t, MPFR_RNDN);
        mpfr_mul(r25042, r25034, r25032, MPFR_RNDN);
        mpfr_mul(r25043, r25042, r25036, MPFR_RNDN);
        mpfr_sub(r25044, r25041, r25043, MPFR_RNDN);
        mpfr_fma(r25045, r25036, r25040, r25044, MPFR_RNDN);
        mpfr_mul(r25046, r25033, r25045, MPFR_RNDN);
        ;
        mpfr_mul(r25048, r25047, r25030, MPFR_RNDN);
        mpfr_mul(r25049, r25029, r25032, MPFR_RNDN);
        mpfr_mul(r25050, r25048, r25049, MPFR_RNDN);
        mpfr_add(r25051, r25046, r25050, MPFR_RNDN);
        ;
        mpfr_pow(r25053, r25051, r25052, MPFR_RNDN);
        ;
        mpfr_set_si(r25055, mpfr_cmp(r25053, r25054) <= 0, MPFR_RNDN);
        mpfr_mul(r25056, r25032, r25030, MPFR_RNDN);
        mpfr_mul(r25057, r25034, r25034, MPFR_RNDN);
        mpfr_div(r25058, r25057, r25035, MPFR_RNDN);
        mpfr_mul(r25059, r25032, r25058, MPFR_RNDN);
        mpfr_sub(r25060, r25041, r25059, MPFR_RNDN);
        mpfr_pow(r25061, r25036, r25032, MPFR_RNDN);
        mpfr_mul(r25062, r25030, r25061, MPFR_RNDN);
        mpfr_sub(r25063, r25029, r25037, MPFR_RNDN);
        mpfr_mul(r25064, r25062, r25063, MPFR_RNDN);
        mpfr_sub(r25065, r25060, r25064, MPFR_RNDN);
        mpfr_mul(r25066, r25029, r25065, MPFR_RNDN);
        mpfr_mul(r25067, r25056, r25066, MPFR_RNDN);
        mpfr_sqrt(r25068, r25067, MPFR_RNDN);
        ;
        mpfr_set_si(r25070, mpfr_cmp(r25053, r25069) <= 0, MPFR_RNDN);
        mpfr_mul(r25071, r25056, r25029, MPFR_RNDN);
        mpfr_sqrt(r25072, r25071, MPFR_RNDN);
        mpfr_sqrt(r25073, r25065, MPFR_RNDN);
        mpfr_mul(r25074, r25072, r25073, MPFR_RNDN);
        if (mpfr_get_si(r25070, MPFR_RNDN)) { mpfr_set(r25075, r25053, MPFR_RNDN); } else { mpfr_set(r25075, r25074, MPFR_RNDN); };
        if (mpfr_get_si(r25055, MPFR_RNDN)) { mpfr_set(r25076, r25068, MPFR_RNDN); } else { mpfr_set(r25076, r25075, MPFR_RNDN); };
        return mpfr_get_d(r25076, MPFR_RNDN);
}