#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 r24861 = 2;
        float r24862 = n;
        float r24863 = r24861 * r24862;
        float r24864 = U;
        float r24865 = r24863 * r24864;
        float r24866 = t;
        float r24867 = l;
        float r24868 = r24867 * r24867;
        float r24869 = Om;
        float r24870 = r24868 / r24869;
        float r24871 = r24861 * r24870;
        float r24872 = r24866 - r24871;
        float r24873 = r24867 / r24869;
        float r24874 = pow(r24873, r24861);
        float r24875 = r24862 * r24874;
        float r24876 = U_;
        float r24877 = r24864 - r24876;
        float r24878 = r24875 * r24877;
        float r24879 = r24872 - r24878;
        float r24880 = r24865 * r24879;
        float r24881 = sqrt(r24880);
        return r24881;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24882 = 2;
        double r24883 = n;
        double r24884 = r24882 * r24883;
        double r24885 = U;
        double r24886 = r24884 * r24885;
        double r24887 = t;
        double r24888 = l;
        double r24889 = r24888 * r24888;
        double r24890 = Om;
        double r24891 = r24889 / r24890;
        double r24892 = r24882 * r24891;
        double r24893 = r24887 - r24892;
        double r24894 = r24888 / r24890;
        double r24895 = pow(r24894, r24882);
        double r24896 = r24883 * r24895;
        double r24897 = U_;
        double r24898 = r24885 - r24897;
        double r24899 = r24896 * r24898;
        double r24900 = r24893 - r24899;
        double r24901 = r24886 * r24900;
        double r24902 = sqrt(r24901);
        return r24902;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24903 = 2;
        float r24904 = U;
        float r24905 = n;
        float r24906 = r24904 * r24905;
        float r24907 = r24903 * r24906;
        float r24908 = -5.14486287974542e-302;
        bool r24909 = r24907 <= r24908;
        float r24910 = r24906 * r24903;
        float r24911 = l;
        float r24912 = Om;
        float r24913 = r24911 / r24912;
        float r24914 = U_;
        float r24915 = r24914 - r24904;
        float r24916 = r24913 * r24905;
        float r24917 = r24915 * r24916;
        float r24918 = t;
        float r24919 = r24911 * r24903;
        float r24920 = r24919 * r24913;
        float r24921 = r24918 - r24920;
        float r24922 = fma(r24913, r24917, r24921);
        float r24923 = r24910 * r24922;
        float r24924 = 0;
        float r24925 = r24924 * r24905;
        float r24926 = r24904 * r24903;
        float r24927 = r24925 * r24926;
        float r24928 = r24923 + r24927;
        float r24929 = sqrt(r24928);
        float r24930 = 2.33545608983355e-308;
        bool r24931 = r24907 <= r24930;
        float r24932 = r24905 / r24912;
        float r24933 = r24932 * r24932;
        float r24934 = r24914 * r24904;
        float r24935 = r24911 * r24911;
        float r24936 = r24934 * r24935;
        float r24937 = r24911 * r24904;
        float r24938 = r24937 * r24937;
        float r24939 = r24936 - r24938;
        float r24940 = r24933 * r24939;
        float r24941 = r24918 * r24905;
        float r24942 = r24926 * r24941;
        float r24943 = fma(r24903, r24940, r24942);
        float r24944 = sqrt(r24943);
        float r24945 = r24903 * r24905;
        float r24946 = r24945 * r24904;
        float r24947 = sqrt(r24946);
        float r24948 = r24935 / r24912;
        float r24949 = r24903 * r24948;
        float r24950 = r24918 - r24949;
        float r24951 = pow(r24913, r24903);
        float r24952 = r24905 * r24951;
        float r24953 = r24904 - r24914;
        float r24954 = r24952 * r24953;
        float r24955 = r24950 - r24954;
        float r24956 = sqrt(r24955);
        float r24957 = r24947 * r24956;
        float r24958 = r24931 ? r24944 : r24957;
        float r24959 = r24909 ? r24929 : r24958;
        return r24959;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24960 = 2;
        double r24961 = U;
        double r24962 = n;
        double r24963 = r24961 * r24962;
        double r24964 = r24960 * r24963;
        double r24965 = -5.14486287974542e-302;
        bool r24966 = r24964 <= r24965;
        double r24967 = r24963 * r24960;
        double r24968 = l;
        double r24969 = Om;
        double r24970 = r24968 / r24969;
        double r24971 = U_;
        double r24972 = r24971 - r24961;
        double r24973 = r24970 * r24962;
        double r24974 = r24972 * r24973;
        double r24975 = t;
        double r24976 = r24968 * r24960;
        double r24977 = r24976 * r24970;
        double r24978 = r24975 - r24977;
        double r24979 = fma(r24970, r24974, r24978);
        double r24980 = r24967 * r24979;
        double r24981 = 0;
        double r24982 = r24981 * r24962;
        double r24983 = r24961 * r24960;
        double r24984 = r24982 * r24983;
        double r24985 = r24980 + r24984;
        double r24986 = sqrt(r24985);
        double r24987 = 2.33545608983355e-308;
        bool r24988 = r24964 <= r24987;
        double r24989 = r24962 / r24969;
        double r24990 = r24989 * r24989;
        double r24991 = r24971 * r24961;
        double r24992 = r24968 * r24968;
        double r24993 = r24991 * r24992;
        double r24994 = r24968 * r24961;
        double r24995 = r24994 * r24994;
        double r24996 = r24993 - r24995;
        double r24997 = r24990 * r24996;
        double r24998 = r24975 * r24962;
        double r24999 = r24983 * r24998;
        double r25000 = fma(r24960, r24997, r24999);
        double r25001 = sqrt(r25000);
        double r25002 = r24960 * r24962;
        double r25003 = r25002 * r24961;
        double r25004 = sqrt(r25003);
        double r25005 = r24992 / r24969;
        double r25006 = r24960 * r25005;
        double r25007 = r24975 - r25006;
        double r25008 = pow(r24970, r24960);
        double r25009 = r24962 * r25008;
        double r25010 = r24961 - r24971;
        double r25011 = r25009 * r25010;
        double r25012 = r25007 - r25011;
        double r25013 = sqrt(r25012);
        double r25014 = r25004 * r25013;
        double r25015 = r24988 ? r25001 : r25014;
        double r25016 = r24966 ? r24986 : r25015;
        return r25016;
}

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 r25017, r25018, r25019, r25020, r25021, r25022, r25023, r25024, r25025, r25026, r25027, r25028, r25029, r25030, r25031, r25032, r25033, r25034, r25035, r25036, r25037;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25017, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r25032);
        mpfr_init(r25033);
        mpfr_init(r25034);
        mpfr_init(r25035);
        mpfr_init(r25036);
        mpfr_init(r25037);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25018, n, MPFR_RNDN);
        mpfr_mul(r25019, r25017, r25018, MPFR_RNDN);
        mpfr_set_d(r25020, U, MPFR_RNDN);
        mpfr_mul(r25021, r25019, r25020, MPFR_RNDN);
        mpfr_set_d(r25022, t, MPFR_RNDN);
        mpfr_set_d(r25023, l, MPFR_RNDN);
        mpfr_mul(r25024, r25023, r25023, MPFR_RNDN);
        mpfr_set_d(r25025, Om, MPFR_RNDN);
        mpfr_div(r25026, r25024, r25025, MPFR_RNDN);
        mpfr_mul(r25027, r25017, r25026, MPFR_RNDN);
        mpfr_sub(r25028, r25022, r25027, MPFR_RNDN);
        mpfr_div(r25029, r25023, r25025, MPFR_RNDN);
        mpfr_pow(r25030, r25029, r25017, MPFR_RNDN);
        mpfr_mul(r25031, r25018, r25030, MPFR_RNDN);
        mpfr_set_d(r25032, U_, MPFR_RNDN);
        mpfr_sub(r25033, r25020, r25032, MPFR_RNDN);
        mpfr_mul(r25034, r25031, r25033, MPFR_RNDN);
        mpfr_sub(r25035, r25028, r25034, MPFR_RNDN);
        mpfr_mul(r25036, r25021, r25035, MPFR_RNDN);
        mpfr_sqrt(r25037, r25036, MPFR_RNDN);
        return mpfr_get_d(r25037, MPFR_RNDN);
}

static mpfr_t 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, r25080, r25081, r25082, r25083, r25084, r25085, r25086, r25087, r25088, r25089, r25090, r25091, r25092, r25093, r25094;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25038, "2", 10, MPFR_RNDN);
        mpfr_init(r25039);
        mpfr_init(r25040);
        mpfr_init(r25041);
        mpfr_init(r25042);
        mpfr_init_set_str(r25043, "-5.14486287974542e-302", 10, MPFR_RNDN);
        mpfr_init(r25044);
        mpfr_init(r25045);
        mpfr_init(r25046);
        mpfr_init(r25047);
        mpfr_init(r25048);
        mpfr_init(r25049);
        mpfr_init(r25050);
        mpfr_init(r25051);
        mpfr_init(r25052);
        mpfr_init(r25053);
        mpfr_init(r25054);
        mpfr_init(r25055);
        mpfr_init(r25056);
        mpfr_init(r25057);
        mpfr_init(r25058);
        mpfr_init_set_str(r25059, "0", 10, MPFR_RNDN);
        mpfr_init(r25060);
        mpfr_init(r25061);
        mpfr_init(r25062);
        mpfr_init(r25063);
        mpfr_init(r25064);
        mpfr_init_set_str(r25065, "2.33545608983355e-308", 10, MPFR_RNDN);
        mpfr_init(r25066);
        mpfr_init(r25067);
        mpfr_init(r25068);
        mpfr_init(r25069);
        mpfr_init(r25070);
        mpfr_init(r25071);
        mpfr_init(r25072);
        mpfr_init(r25073);
        mpfr_init(r25074);
        mpfr_init(r25075);
        mpfr_init(r25076);
        mpfr_init(r25077);
        mpfr_init(r25078);
        mpfr_init(r25079);
        mpfr_init(r25080);
        mpfr_init(r25081);
        mpfr_init(r25082);
        mpfr_init(r25083);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25039, U, MPFR_RNDN);
        mpfr_set_d(r25040, n, MPFR_RNDN);
        mpfr_mul(r25041, r25039, r25040, MPFR_RNDN);
        mpfr_mul(r25042, r25038, r25041, MPFR_RNDN);
        ;
        mpfr_set_si(r25044, mpfr_cmp(r25042, r25043) <= 0, MPFR_RNDN);
        mpfr_mul(r25045, r25041, r25038, MPFR_RNDN);
        mpfr_set_d(r25046, l, MPFR_RNDN);
        mpfr_set_d(r25047, Om, MPFR_RNDN);
        mpfr_div(r25048, r25046, r25047, MPFR_RNDN);
        mpfr_set_d(r25049, U_, MPFR_RNDN);
        mpfr_sub(r25050, r25049, r25039, MPFR_RNDN);
        mpfr_mul(r25051, r25048, r25040, MPFR_RNDN);
        mpfr_mul(r25052, r25050, r25051, MPFR_RNDN);
        mpfr_set_d(r25053, t, MPFR_RNDN);
        mpfr_mul(r25054, r25046, r25038, MPFR_RNDN);
        mpfr_mul(r25055, r25054, r25048, MPFR_RNDN);
        mpfr_sub(r25056, r25053, r25055, MPFR_RNDN);
        mpfr_fma(r25057, r25048, r25052, r25056, MPFR_RNDN);
        mpfr_mul(r25058, r25045, r25057, MPFR_RNDN);
        ;
        mpfr_mul(r25060, r25059, r25040, MPFR_RNDN);
        mpfr_mul(r25061, r25039, r25038, MPFR_RNDN);
        mpfr_mul(r25062, r25060, r25061, MPFR_RNDN);
        mpfr_add(r25063, r25058, r25062, MPFR_RNDN);
        mpfr_sqrt(r25064, r25063, MPFR_RNDN);
        ;
        mpfr_set_si(r25066, mpfr_cmp(r25042, r25065) <= 0, MPFR_RNDN);
        mpfr_div(r25067, r25040, r25047, MPFR_RNDN);
        mpfr_mul(r25068, r25067, r25067, MPFR_RNDN);
        mpfr_mul(r25069, r25049, r25039, MPFR_RNDN);
        mpfr_mul(r25070, r25046, r25046, MPFR_RNDN);
        mpfr_mul(r25071, r25069, r25070, MPFR_RNDN);
        mpfr_mul(r25072, r25046, r25039, MPFR_RNDN);
        mpfr_mul(r25073, r25072, r25072, MPFR_RNDN);
        mpfr_sub(r25074, r25071, r25073, MPFR_RNDN);
        mpfr_mul(r25075, r25068, r25074, MPFR_RNDN);
        mpfr_mul(r25076, r25053, r25040, MPFR_RNDN);
        mpfr_mul(r25077, r25061, r25076, MPFR_RNDN);
        mpfr_fma(r25078, r25038, r25075, r25077, MPFR_RNDN);
        mpfr_sqrt(r25079, r25078, MPFR_RNDN);
        mpfr_mul(r25080, r25038, r25040, MPFR_RNDN);
        mpfr_mul(r25081, r25080, r25039, MPFR_RNDN);
        mpfr_sqrt(r25082, r25081, MPFR_RNDN);
        mpfr_div(r25083, r25070, r25047, MPFR_RNDN);
        mpfr_mul(r25084, r25038, r25083, MPFR_RNDN);
        mpfr_sub(r25085, r25053, r25084, MPFR_RNDN);
        mpfr_pow(r25086, r25048, r25038, MPFR_RNDN);
        mpfr_mul(r25087, r25040, r25086, MPFR_RNDN);
        mpfr_sub(r25088, r25039, r25049, MPFR_RNDN);
        mpfr_mul(r25089, r25087, r25088, MPFR_RNDN);
        mpfr_sub(r25090, r25085, r25089, MPFR_RNDN);
        mpfr_sqrt(r25091, r25090, MPFR_RNDN);
        mpfr_mul(r25092, r25082, r25091, MPFR_RNDN);
        if (mpfr_get_si(r25066, MPFR_RNDN)) { mpfr_set(r25093, r25079, MPFR_RNDN); } else { mpfr_set(r25093, r25092, MPFR_RNDN); };
        if (mpfr_get_si(r25044, MPFR_RNDN)) { mpfr_set(r25094, r25064, MPFR_RNDN); } else { mpfr_set(r25094, r25093, MPFR_RNDN); };
        return mpfr_get_d(r25094, MPFR_RNDN);
}

static mpfr_t 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, r25128, r25129, r25130, r25131, r25132, r25133, r25134, r25135, r25136, r25137, r25138, r25139, r25140, r25141, r25142, r25143, r25144, r25145, r25146, r25147, r25148, r25149, r25150, r25151;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25095, "2", 10, MPFR_RNDN);
        mpfr_init(r25096);
        mpfr_init(r25097);
        mpfr_init(r25098);
        mpfr_init(r25099);
        mpfr_init_set_str(r25100, "-5.14486287974542e-302", 10, MPFR_RNDN);
        mpfr_init(r25101);
        mpfr_init(r25102);
        mpfr_init(r25103);
        mpfr_init(r25104);
        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_set_str(r25116, "0", 10, MPFR_RNDN);
        mpfr_init(r25117);
        mpfr_init(r25118);
        mpfr_init(r25119);
        mpfr_init(r25120);
        mpfr_init(r25121);
        mpfr_init_set_str(r25122, "2.33545608983355e-308", 10, MPFR_RNDN);
        mpfr_init(r25123);
        mpfr_init(r25124);
        mpfr_init(r25125);
        mpfr_init(r25126);
        mpfr_init(r25127);
        mpfr_init(r25128);
        mpfr_init(r25129);
        mpfr_init(r25130);
        mpfr_init(r25131);
        mpfr_init(r25132);
        mpfr_init(r25133);
        mpfr_init(r25134);
        mpfr_init(r25135);
        mpfr_init(r25136);
        mpfr_init(r25137);
        mpfr_init(r25138);
        mpfr_init(r25139);
        mpfr_init(r25140);
        mpfr_init(r25141);
        mpfr_init(r25142);
        mpfr_init(r25143);
        mpfr_init(r25144);
        mpfr_init(r25145);
        mpfr_init(r25146);
        mpfr_init(r25147);
        mpfr_init(r25148);
        mpfr_init(r25149);
        mpfr_init(r25150);
        mpfr_init(r25151);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25096, U, MPFR_RNDN);
        mpfr_set_d(r25097, n, MPFR_RNDN);
        mpfr_mul(r25098, r25096, r25097, MPFR_RNDN);
        mpfr_mul(r25099, r25095, r25098, MPFR_RNDN);
        ;
        mpfr_set_si(r25101, mpfr_cmp(r25099, r25100) <= 0, MPFR_RNDN);
        mpfr_mul(r25102, r25098, r25095, MPFR_RNDN);
        mpfr_set_d(r25103, l, MPFR_RNDN);
        mpfr_set_d(r25104, Om, MPFR_RNDN);
        mpfr_div(r25105, r25103, r25104, MPFR_RNDN);
        mpfr_set_d(r25106, U_, MPFR_RNDN);
        mpfr_sub(r25107, r25106, r25096, MPFR_RNDN);
        mpfr_mul(r25108, r25105, r25097, MPFR_RNDN);
        mpfr_mul(r25109, r25107, r25108, MPFR_RNDN);
        mpfr_set_d(r25110, t, MPFR_RNDN);
        mpfr_mul(r25111, r25103, r25095, MPFR_RNDN);
        mpfr_mul(r25112, r25111, r25105, MPFR_RNDN);
        mpfr_sub(r25113, r25110, r25112, MPFR_RNDN);
        mpfr_fma(r25114, r25105, r25109, r25113, MPFR_RNDN);
        mpfr_mul(r25115, r25102, r25114, MPFR_RNDN);
        ;
        mpfr_mul(r25117, r25116, r25097, MPFR_RNDN);
        mpfr_mul(r25118, r25096, r25095, MPFR_RNDN);
        mpfr_mul(r25119, r25117, r25118, MPFR_RNDN);
        mpfr_add(r25120, r25115, r25119, MPFR_RNDN);
        mpfr_sqrt(r25121, r25120, MPFR_RNDN);
        ;
        mpfr_set_si(r25123, mpfr_cmp(r25099, r25122) <= 0, MPFR_RNDN);
        mpfr_div(r25124, r25097, r25104, MPFR_RNDN);
        mpfr_mul(r25125, r25124, r25124, MPFR_RNDN);
        mpfr_mul(r25126, r25106, r25096, MPFR_RNDN);
        mpfr_mul(r25127, r25103, r25103, MPFR_RNDN);
        mpfr_mul(r25128, r25126, r25127, MPFR_RNDN);
        mpfr_mul(r25129, r25103, r25096, MPFR_RNDN);
        mpfr_mul(r25130, r25129, r25129, MPFR_RNDN);
        mpfr_sub(r25131, r25128, r25130, MPFR_RNDN);
        mpfr_mul(r25132, r25125, r25131, MPFR_RNDN);
        mpfr_mul(r25133, r25110, r25097, MPFR_RNDN);
        mpfr_mul(r25134, r25118, r25133, MPFR_RNDN);
        mpfr_fma(r25135, r25095, r25132, r25134, MPFR_RNDN);
        mpfr_sqrt(r25136, r25135, MPFR_RNDN);
        mpfr_mul(r25137, r25095, r25097, MPFR_RNDN);
        mpfr_mul(r25138, r25137, r25096, MPFR_RNDN);
        mpfr_sqrt(r25139, r25138, MPFR_RNDN);
        mpfr_div(r25140, r25127, r25104, MPFR_RNDN);
        mpfr_mul(r25141, r25095, r25140, MPFR_RNDN);
        mpfr_sub(r25142, r25110, r25141, MPFR_RNDN);
        mpfr_pow(r25143, r25105, r25095, MPFR_RNDN);
        mpfr_mul(r25144, r25097, r25143, MPFR_RNDN);
        mpfr_sub(r25145, r25096, r25106, MPFR_RNDN);
        mpfr_mul(r25146, r25144, r25145, MPFR_RNDN);
        mpfr_sub(r25147, r25142, r25146, MPFR_RNDN);
        mpfr_sqrt(r25148, r25147, MPFR_RNDN);
        mpfr_mul(r25149, r25139, r25148, MPFR_RNDN);
        if (mpfr_get_si(r25123, MPFR_RNDN)) { mpfr_set(r25150, r25136, MPFR_RNDN); } else { mpfr_set(r25150, r25149, MPFR_RNDN); };
        if (mpfr_get_si(r25101, MPFR_RNDN)) { mpfr_set(r25151, r25121, MPFR_RNDN); } else { mpfr_set(r25151, r25150, MPFR_RNDN); };
        return mpfr_get_d(r25151, MPFR_RNDN);
}

