#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 r24873 = 2;
        float r24874 = n;
        float r24875 = r24873 * r24874;
        float r24876 = U;
        float r24877 = r24875 * r24876;
        float r24878 = t;
        float r24879 = l;
        float r24880 = r24879 * r24879;
        float r24881 = Om;
        float r24882 = r24880 / r24881;
        float r24883 = r24873 * r24882;
        float r24884 = r24878 - r24883;
        float r24885 = r24879 / r24881;
        float r24886 = pow(r24885, r24873);
        float r24887 = r24874 * r24886;
        float r24888 = U_;
        float r24889 = r24876 - r24888;
        float r24890 = r24887 * r24889;
        float r24891 = r24884 - r24890;
        float r24892 = r24877 * r24891;
        float r24893 = sqrt(r24892);
        return r24893;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24894 = 2;
        double r24895 = n;
        double r24896 = r24894 * r24895;
        double r24897 = U;
        double r24898 = r24896 * r24897;
        double r24899 = t;
        double r24900 = l;
        double r24901 = r24900 * r24900;
        double r24902 = Om;
        double r24903 = r24901 / r24902;
        double r24904 = r24894 * r24903;
        double r24905 = r24899 - r24904;
        double r24906 = r24900 / r24902;
        double r24907 = pow(r24906, r24894);
        double r24908 = r24895 * r24907;
        double r24909 = U_;
        double r24910 = r24897 - r24909;
        double r24911 = r24908 * r24910;
        double r24912 = r24905 - r24911;
        double r24913 = r24898 * r24912;
        double r24914 = sqrt(r24913);
        return r24914;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24915 = U;
        float r24916 = n;
        float r24917 = r24915 * r24916;
        float r24918 = 2;
        float r24919 = r24917 * r24918;
        float r24920 = l;
        float r24921 = Om;
        float r24922 = r24920 / r24921;
        float r24923 = U_;
        float r24924 = r24923 - r24915;
        float r24925 = r24922 * r24916;
        float r24926 = r24924 * r24925;
        float r24927 = t;
        float r24928 = r24920 * r24918;
        float r24929 = r24928 * r24922;
        float r24930 = r24927 - r24929;
        float r24931 = fma(r24922, r24926, r24930);
        float r24932 = r24919 * r24931;
        float r24933 = 0;
        float r24934 = r24933 * r24916;
        float r24935 = r24915 * r24918;
        float r24936 = r24934 * r24935;
        float r24937 = r24932 + r24936;
        float r24938 = sqrt(r24937);
        float r24939 = 1.561227410492624e-137;
        bool r24940 = r24938 <= r24939;
        float r24941 = r24918 * r24916;
        float r24942 = sqrt(r24941);
        float r24943 = r24920 * r24920;
        float r24944 = r24943 / r24921;
        float r24945 = r24918 * r24944;
        float r24946 = r24927 - r24945;
        float r24947 = pow(r24922, r24918);
        float r24948 = r24916 * r24947;
        float r24949 = r24915 - r24923;
        float r24950 = r24948 * r24949;
        float r24951 = r24946 - r24950;
        float r24952 = r24915 * r24951;
        float r24953 = sqrt(r24952);
        float r24954 = r24942 * r24953;
        float r24955 = 6.922017922103257e+152;
        bool r24956 = r24938 <= r24955;
        float r24957 = r24941 * r24915;
        float r24958 = sqrt(r24957);
        float r24959 = sqrt(r24951);
        float r24960 = r24958 * r24959;
        float r24961 = r24956 ? r24938 : r24960;
        float r24962 = r24940 ? r24954 : r24961;
        return r24962;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24963 = U;
        double r24964 = n;
        double r24965 = r24963 * r24964;
        double r24966 = 2;
        double r24967 = r24965 * r24966;
        double r24968 = l;
        double r24969 = Om;
        double r24970 = r24968 / r24969;
        double r24971 = U_;
        double r24972 = r24971 - r24963;
        double r24973 = r24970 * r24964;
        double r24974 = r24972 * r24973;
        double r24975 = t;
        double r24976 = r24968 * r24966;
        double r24977 = r24976 * r24970;
        double r24978 = r24975 - r24977;
        double r24979 = fma(r24970, r24974, r24978);
        double r24980 = r24967 * r24979;
        double r24981 = 0;
        double r24982 = r24981 * r24964;
        double r24983 = r24963 * r24966;
        double r24984 = r24982 * r24983;
        double r24985 = r24980 + r24984;
        double r24986 = sqrt(r24985);
        double r24987 = 1.561227410492624e-137;
        bool r24988 = r24986 <= r24987;
        double r24989 = r24966 * r24964;
        double r24990 = sqrt(r24989);
        double r24991 = r24968 * r24968;
        double r24992 = r24991 / r24969;
        double r24993 = r24966 * r24992;
        double r24994 = r24975 - r24993;
        double r24995 = pow(r24970, r24966);
        double r24996 = r24964 * r24995;
        double r24997 = r24963 - r24971;
        double r24998 = r24996 * r24997;
        double r24999 = r24994 - r24998;
        double r25000 = r24963 * r24999;
        double r25001 = sqrt(r25000);
        double r25002 = r24990 * r25001;
        double r25003 = 6.922017922103257e+152;
        bool r25004 = r24986 <= r25003;
        double r25005 = r24989 * r24963;
        double r25006 = sqrt(r25005);
        double r25007 = sqrt(r24999);
        double r25008 = r25006 * r25007;
        double r25009 = r25004 ? r24986 : r25008;
        double r25010 = r24988 ? r25002 : r25009;
        return r25010;
}

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 r25011, r25012, r25013, r25014, r25015, r25016, r25017, r25018, r25019, r25020, r25021, r25022, r25023, r25024, r25025, r25026, r25027, r25028, r25029, r25030, r25031;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25011, "2", 10, MPFR_RNDN);
        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(r25021);
        mpfr_init(r25022);
        mpfr_init(r25023);
        mpfr_init(r25024);
        mpfr_init(r25025);
        mpfr_init(r25026);
        mpfr_init(r25027);
        mpfr_init(r25028);
        mpfr_init(r25029);
        mpfr_init(r25030);
        mpfr_init(r25031);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25012, n, MPFR_RNDN);
        mpfr_mul(r25013, r25011, r25012, MPFR_RNDN);
        mpfr_set_d(r25014, U, MPFR_RNDN);
        mpfr_mul(r25015, r25013, r25014, MPFR_RNDN);
        mpfr_set_d(r25016, t, MPFR_RNDN);
        mpfr_set_d(r25017, l, MPFR_RNDN);
        mpfr_mul(r25018, r25017, r25017, MPFR_RNDN);
        mpfr_set_d(r25019, Om, MPFR_RNDN);
        mpfr_div(r25020, r25018, r25019, MPFR_RNDN);
        mpfr_mul(r25021, r25011, r25020, MPFR_RNDN);
        mpfr_sub(r25022, r25016, r25021, MPFR_RNDN);
        mpfr_div(r25023, r25017, r25019, MPFR_RNDN);
        mpfr_pow(r25024, r25023, r25011, MPFR_RNDN);
        mpfr_mul(r25025, r25012, r25024, MPFR_RNDN);
        mpfr_set_d(r25026, U_, MPFR_RNDN);
        mpfr_sub(r25027, r25014, r25026, MPFR_RNDN);
        mpfr_mul(r25028, r25025, r25027, MPFR_RNDN);
        mpfr_sub(r25029, r25022, r25028, MPFR_RNDN);
        mpfr_mul(r25030, r25015, r25029, MPFR_RNDN);
        mpfr_sqrt(r25031, r25030, MPFR_RNDN);
        return mpfr_get_d(r25031, MPFR_RNDN);
}

static mpfr_t 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, r25077, r25078, r25079;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r25032);
        mpfr_init(r25033);
        mpfr_init(r25034);
        mpfr_init_set_str(r25035, "2", 10, MPFR_RNDN);
        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, "0", 10, MPFR_RNDN);
        mpfr_init(r25051);
        mpfr_init(r25052);
        mpfr_init(r25053);
        mpfr_init(r25054);
        mpfr_init(r25055);
        mpfr_init_set_str(r25056, "1.561227410492624e-137", 10, MPFR_RNDN);
        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(r25069);
        mpfr_init(r25070);
        mpfr_init(r25071);
        mpfr_init_set_str(r25072, "6.922017922103257e+152", 10, MPFR_RNDN);
        mpfr_init(r25073);
        mpfr_init(r25074);
        mpfr_init(r25075);
        mpfr_init(r25076);
        mpfr_init(r25077);
        mpfr_init(r25078);
        mpfr_init(r25079);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r25032, U, MPFR_RNDN);
        mpfr_set_d(r25033, n, MPFR_RNDN);
        mpfr_mul(r25034, r25032, r25033, MPFR_RNDN);
        ;
        mpfr_mul(r25036, r25034, r25035, MPFR_RNDN);
        mpfr_set_d(r25037, l, MPFR_RNDN);
        mpfr_set_d(r25038, Om, MPFR_RNDN);
        mpfr_div(r25039, r25037, r25038, MPFR_RNDN);
        mpfr_set_d(r25040, U_, MPFR_RNDN);
        mpfr_sub(r25041, r25040, r25032, MPFR_RNDN);
        mpfr_mul(r25042, r25039, r25033, MPFR_RNDN);
        mpfr_mul(r25043, r25041, r25042, MPFR_RNDN);
        mpfr_set_d(r25044, t, MPFR_RNDN);
        mpfr_mul(r25045, r25037, r25035, MPFR_RNDN);
        mpfr_mul(r25046, r25045, r25039, MPFR_RNDN);
        mpfr_sub(r25047, r25044, r25046, MPFR_RNDN);
        mpfr_fma(r25048, r25039, r25043, r25047, MPFR_RNDN);
        mpfr_mul(r25049, r25036, r25048, MPFR_RNDN);
        ;
        mpfr_mul(r25051, r25050, r25033, MPFR_RNDN);
        mpfr_mul(r25052, r25032, r25035, MPFR_RNDN);
        mpfr_mul(r25053, r25051, r25052, MPFR_RNDN);
        mpfr_add(r25054, r25049, r25053, MPFR_RNDN);
        mpfr_sqrt(r25055, r25054, MPFR_RNDN);
        ;
        mpfr_set_si(r25057, mpfr_cmp(r25055, r25056) <= 0, MPFR_RNDN);
        mpfr_mul(r25058, r25035, r25033, MPFR_RNDN);
        mpfr_sqrt(r25059, r25058, MPFR_RNDN);
        mpfr_mul(r25060, r25037, r25037, MPFR_RNDN);
        mpfr_div(r25061, r25060, r25038, MPFR_RNDN);
        mpfr_mul(r25062, r25035, r25061, MPFR_RNDN);
        mpfr_sub(r25063, r25044, r25062, MPFR_RNDN);
        mpfr_pow(r25064, r25039, r25035, MPFR_RNDN);
        mpfr_mul(r25065, r25033, r25064, MPFR_RNDN);
        mpfr_sub(r25066, r25032, r25040, MPFR_RNDN);
        mpfr_mul(r25067, r25065, r25066, MPFR_RNDN);
        mpfr_sub(r25068, r25063, r25067, MPFR_RNDN);
        mpfr_mul(r25069, r25032, r25068, MPFR_RNDN);
        mpfr_sqrt(r25070, r25069, MPFR_RNDN);
        mpfr_mul(r25071, r25059, r25070, MPFR_RNDN);
        ;
        mpfr_set_si(r25073, mpfr_cmp(r25055, r25072) <= 0, MPFR_RNDN);
        mpfr_mul(r25074, r25058, r25032, MPFR_RNDN);
        mpfr_sqrt(r25075, r25074, MPFR_RNDN);
        mpfr_sqrt(r25076, r25068, MPFR_RNDN);
        mpfr_mul(r25077, r25075, r25076, MPFR_RNDN);
        if (mpfr_get_si(r25073, MPFR_RNDN)) { mpfr_set(r25078, r25055, MPFR_RNDN); } else { mpfr_set(r25078, r25077, MPFR_RNDN); };
        if (mpfr_get_si(r25057, MPFR_RNDN)) { mpfr_set(r25079, r25071, MPFR_RNDN); } else { mpfr_set(r25079, r25078, MPFR_RNDN); };
        return mpfr_get_d(r25079, MPFR_RNDN);
}

static mpfr_t r25080, r25081, r25082, r25083, r25084, r25085, r25086, r25087, r25088, r25089, r25090, r25091, r25092, r25093, r25094, r25095, r25096, r25097, r25098, r25099, r25100, r25101, r25102, r25103, r25104, r25105, r25106, r25107, r25108, r25109, r25110, r25111, r25112, r25113, r25114, r25115, r25116, r25117, r25118, r25119, r25120, r25121, r25122, r25123, r25124, r25125, r25126, r25127;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r25080);
        mpfr_init(r25081);
        mpfr_init(r25082);
        mpfr_init_set_str(r25083, "2", 10, MPFR_RNDN);
        mpfr_init(r25084);
        mpfr_init(r25085);
        mpfr_init(r25086);
        mpfr_init(r25087);
        mpfr_init(r25088);
        mpfr_init(r25089);
        mpfr_init(r25090);
        mpfr_init(r25091);
        mpfr_init(r25092);
        mpfr_init(r25093);
        mpfr_init(r25094);
        mpfr_init(r25095);
        mpfr_init(r25096);
        mpfr_init(r25097);
        mpfr_init_set_str(r25098, "0", 10, MPFR_RNDN);
        mpfr_init(r25099);
        mpfr_init(r25100);
        mpfr_init(r25101);
        mpfr_init(r25102);
        mpfr_init(r25103);
        mpfr_init_set_str(r25104, "1.561227410492624e-137", 10, MPFR_RNDN);
        mpfr_init(r25105);
        mpfr_init(r25106);
        mpfr_init(r25107);
        mpfr_init(r25108);
        mpfr_init(r25109);
        mpfr_init(r25110);
        mpfr_init(r25111);
        mpfr_init(r25112);
        mpfr_init(r25113);
        mpfr_init(r25114);
        mpfr_init(r25115);
        mpfr_init(r25116);
        mpfr_init(r25117);
        mpfr_init(r25118);
        mpfr_init(r25119);
        mpfr_init_set_str(r25120, "6.922017922103257e+152", 10, MPFR_RNDN);
        mpfr_init(r25121);
        mpfr_init(r25122);
        mpfr_init(r25123);
        mpfr_init(r25124);
        mpfr_init(r25125);
        mpfr_init(r25126);
        mpfr_init(r25127);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r25080, U, MPFR_RNDN);
        mpfr_set_d(r25081, n, MPFR_RNDN);
        mpfr_mul(r25082, r25080, r25081, MPFR_RNDN);
        ;
        mpfr_mul(r25084, r25082, r25083, MPFR_RNDN);
        mpfr_set_d(r25085, l, MPFR_RNDN);
        mpfr_set_d(r25086, Om, MPFR_RNDN);
        mpfr_div(r25087, r25085, r25086, MPFR_RNDN);
        mpfr_set_d(r25088, U_, MPFR_RNDN);
        mpfr_sub(r25089, r25088, r25080, MPFR_RNDN);
        mpfr_mul(r25090, r25087, r25081, MPFR_RNDN);
        mpfr_mul(r25091, r25089, r25090, MPFR_RNDN);
        mpfr_set_d(r25092, t, MPFR_RNDN);
        mpfr_mul(r25093, r25085, r25083, MPFR_RNDN);
        mpfr_mul(r25094, r25093, r25087, MPFR_RNDN);
        mpfr_sub(r25095, r25092, r25094, MPFR_RNDN);
        mpfr_fma(r25096, r25087, r25091, r25095, MPFR_RNDN);
        mpfr_mul(r25097, r25084, r25096, MPFR_RNDN);
        ;
        mpfr_mul(r25099, r25098, r25081, MPFR_RNDN);
        mpfr_mul(r25100, r25080, r25083, MPFR_RNDN);
        mpfr_mul(r25101, r25099, r25100, MPFR_RNDN);
        mpfr_add(r25102, r25097, r25101, MPFR_RNDN);
        mpfr_sqrt(r25103, r25102, MPFR_RNDN);
        ;
        mpfr_set_si(r25105, mpfr_cmp(r25103, r25104) <= 0, MPFR_RNDN);
        mpfr_mul(r25106, r25083, r25081, MPFR_RNDN);
        mpfr_sqrt(r25107, r25106, MPFR_RNDN);
        mpfr_mul(r25108, r25085, r25085, MPFR_RNDN);
        mpfr_div(r25109, r25108, r25086, MPFR_RNDN);
        mpfr_mul(r25110, r25083, r25109, MPFR_RNDN);
        mpfr_sub(r25111, r25092, r25110, MPFR_RNDN);
        mpfr_pow(r25112, r25087, r25083, MPFR_RNDN);
        mpfr_mul(r25113, r25081, r25112, MPFR_RNDN);
        mpfr_sub(r25114, r25080, r25088, MPFR_RNDN);
        mpfr_mul(r25115, r25113, r25114, MPFR_RNDN);
        mpfr_sub(r25116, r25111, r25115, MPFR_RNDN);
        mpfr_mul(r25117, r25080, r25116, MPFR_RNDN);
        mpfr_sqrt(r25118, r25117, MPFR_RNDN);
        mpfr_mul(r25119, r25107, r25118, MPFR_RNDN);
        ;
        mpfr_set_si(r25121, mpfr_cmp(r25103, r25120) <= 0, MPFR_RNDN);
        mpfr_mul(r25122, r25106, r25080, MPFR_RNDN);
        mpfr_sqrt(r25123, r25122, MPFR_RNDN);
        mpfr_sqrt(r25124, r25116, MPFR_RNDN);
        mpfr_mul(r25125, r25123, r25124, MPFR_RNDN);
        if (mpfr_get_si(r25121, MPFR_RNDN)) { mpfr_set(r25126, r25103, MPFR_RNDN); } else { mpfr_set(r25126, r25125, MPFR_RNDN); };
        if (mpfr_get_si(r25105, MPFR_RNDN)) { mpfr_set(r25127, r25119, MPFR_RNDN); } else { mpfr_set(r25127, r25126, MPFR_RNDN); };
        return mpfr_get_d(r25127, MPFR_RNDN);
}