#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 r23961 = 2;
        float r23962 = n;
        float r23963 = r23961 * r23962;
        float r23964 = U;
        float r23965 = r23963 * r23964;
        float r23966 = t;
        float r23967 = l;
        float r23968 = r23967 * r23967;
        float r23969 = Om;
        float r23970 = r23968 / r23969;
        float r23971 = r23961 * r23970;
        float r23972 = r23966 - r23971;
        float r23973 = r23967 / r23969;
        float r23974 = pow(r23973, r23961);
        float r23975 = r23962 * r23974;
        float r23976 = U_;
        float r23977 = r23964 - r23976;
        float r23978 = r23975 * r23977;
        float r23979 = r23972 - r23978;
        float r23980 = r23965 * r23979;
        float r23981 = sqrt(r23980);
        return r23981;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r23982 = 2;
        double r23983 = n;
        double r23984 = r23982 * r23983;
        double r23985 = U;
        double r23986 = r23984 * r23985;
        double r23987 = t;
        double r23988 = l;
        double r23989 = r23988 * r23988;
        double r23990 = Om;
        double r23991 = r23989 / r23990;
        double r23992 = r23982 * r23991;
        double r23993 = r23987 - r23992;
        double r23994 = r23988 / r23990;
        double r23995 = pow(r23994, r23982);
        double r23996 = r23983 * r23995;
        double r23997 = U_;
        double r23998 = r23985 - r23997;
        double r23999 = r23996 * r23998;
        double r24000 = r23993 - r23999;
        double r24001 = r23986 * r24000;
        double r24002 = sqrt(r24001);
        return r24002;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24003 = 2;
        float r24004 = U;
        float r24005 = n;
        float r24006 = r24004 * r24005;
        float r24007 = r24003 * r24006;
        float r24008 = -1.8652304055862924e+157;
        bool r24009 = r24007 <= r24008;
        float r24010 = r24003 * r24005;
        float r24011 = sqrt(r24010);
        float r24012 = t;
        float r24013 = l;
        float r24014 = Om;
        float r24015 = r24014 / r24013;
        float r24016 = r24013 / r24015;
        float r24017 = r24003 * r24016;
        float r24018 = r24012 - r24017;
        float r24019 = r24013 / r24014;
        float r24020 = pow(r24019, r24003);
        float r24021 = r24005 * r24020;
        float r24022 = U_;
        float r24023 = r24004 - r24022;
        float r24024 = r24021 * r24023;
        float r24025 = r24018 - r24024;
        float r24026 = r24004 * r24025;
        float r24027 = sqrt(r24026);
        float r24028 = r24011 * r24027;
        float r24029 = -2.831110621360639e-249;
        bool r24030 = r24007 <= r24029;
        float r24031 = r24010 * r24004;
        float r24032 = r24031 * r24025;
        float r24033 = sqrt(r24032);
        float r24034 = 9.385908271463649e-190;
        bool r24035 = r24007 <= r24034;
        float r24036 = r24010 * r24026;
        float r24037 = sqrt(r24036);
        float r24038 = sqrt(r24031);
        float r24039 = sqrt(r24025);
        float r24040 = r24038 * r24039;
        float r24041 = r24035 ? r24037 : r24040;
        float r24042 = r24030 ? r24033 : r24041;
        float r24043 = r24009 ? r24028 : r24042;
        return r24043;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24044 = 2;
        double r24045 = U;
        double r24046 = n;
        double r24047 = r24045 * r24046;
        double r24048 = r24044 * r24047;
        double r24049 = -1.8652304055862924e+157;
        bool r24050 = r24048 <= r24049;
        double r24051 = r24044 * r24046;
        double r24052 = sqrt(r24051);
        double r24053 = t;
        double r24054 = l;
        double r24055 = Om;
        double r24056 = r24055 / r24054;
        double r24057 = r24054 / r24056;
        double r24058 = r24044 * r24057;
        double r24059 = r24053 - r24058;
        double r24060 = r24054 / r24055;
        double r24061 = pow(r24060, r24044);
        double r24062 = r24046 * r24061;
        double r24063 = U_;
        double r24064 = r24045 - r24063;
        double r24065 = r24062 * r24064;
        double r24066 = r24059 - r24065;
        double r24067 = r24045 * r24066;
        double r24068 = sqrt(r24067);
        double r24069 = r24052 * r24068;
        double r24070 = -2.831110621360639e-249;
        bool r24071 = r24048 <= r24070;
        double r24072 = r24051 * r24045;
        double r24073 = r24072 * r24066;
        double r24074 = sqrt(r24073);
        double r24075 = 9.385908271463649e-190;
        bool r24076 = r24048 <= r24075;
        double r24077 = r24051 * r24067;
        double r24078 = sqrt(r24077);
        double r24079 = sqrt(r24072);
        double r24080 = sqrt(r24066);
        double r24081 = r24079 * r24080;
        double r24082 = r24076 ? r24078 : r24081;
        double r24083 = r24071 ? r24074 : r24082;
        double r24084 = r24050 ? r24069 : r24083;
        return r24084;
}

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 r24085, r24086, r24087, r24088, r24089, r24090, r24091, r24092, r24093, r24094, r24095, r24096, r24097, r24098, r24099, r24100, r24101, r24102, r24103, r24104, r24105;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24085, "2", 10, MPFR_RNDN);
        mpfr_init(r24086);
        mpfr_init(r24087);
        mpfr_init(r24088);
        mpfr_init(r24089);
        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(r24105);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24086, n, MPFR_RNDN);
        mpfr_mul(r24087, r24085, r24086, MPFR_RNDN);
        mpfr_set_d(r24088, U, MPFR_RNDN);
        mpfr_mul(r24089, r24087, r24088, MPFR_RNDN);
        mpfr_set_d(r24090, t, MPFR_RNDN);
        mpfr_set_d(r24091, l, MPFR_RNDN);
        mpfr_mul(r24092, r24091, r24091, MPFR_RNDN);
        mpfr_set_d(r24093, Om, MPFR_RNDN);
        mpfr_div(r24094, r24092, r24093, MPFR_RNDN);
        mpfr_mul(r24095, r24085, r24094, MPFR_RNDN);
        mpfr_sub(r24096, r24090, r24095, MPFR_RNDN);
        mpfr_div(r24097, r24091, r24093, MPFR_RNDN);
        mpfr_pow(r24098, r24097, r24085, MPFR_RNDN);
        mpfr_mul(r24099, r24086, r24098, MPFR_RNDN);
        mpfr_set_d(r24100, U_, MPFR_RNDN);
        mpfr_sub(r24101, r24088, r24100, MPFR_RNDN);
        mpfr_mul(r24102, r24099, r24101, MPFR_RNDN);
        mpfr_sub(r24103, r24096, r24102, MPFR_RNDN);
        mpfr_mul(r24104, r24089, r24103, MPFR_RNDN);
        mpfr_sqrt(r24105, r24104, MPFR_RNDN);
        return mpfr_get_d(r24105, MPFR_RNDN);
}

static mpfr_t 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, r24141, r24142, r24143, r24144, r24145, r24146;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24106, "2", 10, MPFR_RNDN);
        mpfr_init(r24107);
        mpfr_init(r24108);
        mpfr_init(r24109);
        mpfr_init(r24110);
        mpfr_init_set_str(r24111, "-1.8652304055862924e+157", 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_set_str(r24132, "-2.831110621360639e-249", 10, MPFR_RNDN);
        mpfr_init(r24133);
        mpfr_init(r24134);
        mpfr_init(r24135);
        mpfr_init(r24136);
        mpfr_init_set_str(r24137, "9.385908271463649e-190", 10, MPFR_RNDN);
        mpfr_init(r24138);
        mpfr_init(r24139);
        mpfr_init(r24140);
        mpfr_init(r24141);
        mpfr_init(r24142);
        mpfr_init(r24143);
        mpfr_init(r24144);
        mpfr_init(r24145);
        mpfr_init(r24146);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24107, U, MPFR_RNDN);
        mpfr_set_d(r24108, n, MPFR_RNDN);
        mpfr_mul(r24109, r24107, r24108, MPFR_RNDN);
        mpfr_mul(r24110, r24106, r24109, MPFR_RNDN);
        ;
        mpfr_set_si(r24112, mpfr_cmp(r24110, r24111) <= 0, MPFR_RNDN);
        mpfr_mul(r24113, r24106, r24108, MPFR_RNDN);
        mpfr_sqrt(r24114, r24113, MPFR_RNDN);
        mpfr_set_d(r24115, t, MPFR_RNDN);
        mpfr_set_d(r24116, l, MPFR_RNDN);
        mpfr_set_d(r24117, Om, MPFR_RNDN);
        mpfr_div(r24118, r24117, r24116, MPFR_RNDN);
        mpfr_div(r24119, r24116, r24118, MPFR_RNDN);
        mpfr_mul(r24120, r24106, r24119, MPFR_RNDN);
        mpfr_sub(r24121, r24115, r24120, MPFR_RNDN);
        mpfr_div(r24122, r24116, r24117, MPFR_RNDN);
        mpfr_pow(r24123, r24122, r24106, MPFR_RNDN);
        mpfr_mul(r24124, r24108, r24123, MPFR_RNDN);
        mpfr_set_d(r24125, U_, MPFR_RNDN);
        mpfr_sub(r24126, r24107, r24125, MPFR_RNDN);
        mpfr_mul(r24127, r24124, r24126, MPFR_RNDN);
        mpfr_sub(r24128, r24121, r24127, MPFR_RNDN);
        mpfr_mul(r24129, r24107, r24128, MPFR_RNDN);
        mpfr_sqrt(r24130, r24129, MPFR_RNDN);
        mpfr_mul(r24131, r24114, r24130, MPFR_RNDN);
        ;
        mpfr_set_si(r24133, mpfr_cmp(r24110, r24132) <= 0, MPFR_RNDN);
        mpfr_mul(r24134, r24113, r24107, MPFR_RNDN);
        mpfr_mul(r24135, r24134, r24128, MPFR_RNDN);
        mpfr_sqrt(r24136, r24135, MPFR_RNDN);
        ;
        mpfr_set_si(r24138, mpfr_cmp(r24110, r24137) <= 0, MPFR_RNDN);
        mpfr_mul(r24139, r24113, r24129, MPFR_RNDN);
        mpfr_sqrt(r24140, r24139, MPFR_RNDN);
        mpfr_sqrt(r24141, r24134, MPFR_RNDN);
        mpfr_sqrt(r24142, r24128, MPFR_RNDN);
        mpfr_mul(r24143, r24141, r24142, MPFR_RNDN);
        if (mpfr_get_si(r24138, MPFR_RNDN)) { mpfr_set(r24144, r24140, MPFR_RNDN); } else { mpfr_set(r24144, r24143, MPFR_RNDN); };
        if (mpfr_get_si(r24133, MPFR_RNDN)) { mpfr_set(r24145, r24136, MPFR_RNDN); } else { mpfr_set(r24145, r24144, MPFR_RNDN); };
        if (mpfr_get_si(r24112, MPFR_RNDN)) { mpfr_set(r24146, r24131, MPFR_RNDN); } else { mpfr_set(r24146, r24145, MPFR_RNDN); };
        return mpfr_get_d(r24146, MPFR_RNDN);
}

static mpfr_t r24147, r24148, r24149, r24150, r24151, r24152, r24153, r24154, r24155, r24156, r24157, r24158, r24159, r24160, r24161, r24162, r24163, r24164, r24165, r24166, r24167, r24168, r24169, r24170, r24171, r24172, r24173, r24174, r24175, r24176, r24177, r24178, r24179, r24180, r24181, r24182, r24183, r24184, r24185, r24186, r24187;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24147, "2", 10, MPFR_RNDN);
        mpfr_init(r24148);
        mpfr_init(r24149);
        mpfr_init(r24150);
        mpfr_init(r24151);
        mpfr_init_set_str(r24152, "-1.8652304055862924e+157", 10, MPFR_RNDN);
        mpfr_init(r24153);
        mpfr_init(r24154);
        mpfr_init(r24155);
        mpfr_init(r24156);
        mpfr_init(r24157);
        mpfr_init(r24158);
        mpfr_init(r24159);
        mpfr_init(r24160);
        mpfr_init(r24161);
        mpfr_init(r24162);
        mpfr_init(r24163);
        mpfr_init(r24164);
        mpfr_init(r24165);
        mpfr_init(r24166);
        mpfr_init(r24167);
        mpfr_init(r24168);
        mpfr_init(r24169);
        mpfr_init(r24170);
        mpfr_init(r24171);
        mpfr_init(r24172);
        mpfr_init_set_str(r24173, "-2.831110621360639e-249", 10, MPFR_RNDN);
        mpfr_init(r24174);
        mpfr_init(r24175);
        mpfr_init(r24176);
        mpfr_init(r24177);
        mpfr_init_set_str(r24178, "9.385908271463649e-190", 10, MPFR_RNDN);
        mpfr_init(r24179);
        mpfr_init(r24180);
        mpfr_init(r24181);
        mpfr_init(r24182);
        mpfr_init(r24183);
        mpfr_init(r24184);
        mpfr_init(r24185);
        mpfr_init(r24186);
        mpfr_init(r24187);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24148, U, MPFR_RNDN);
        mpfr_set_d(r24149, n, MPFR_RNDN);
        mpfr_mul(r24150, r24148, r24149, MPFR_RNDN);
        mpfr_mul(r24151, r24147, r24150, MPFR_RNDN);
        ;
        mpfr_set_si(r24153, mpfr_cmp(r24151, r24152) <= 0, MPFR_RNDN);
        mpfr_mul(r24154, r24147, r24149, MPFR_RNDN);
        mpfr_sqrt(r24155, r24154, MPFR_RNDN);
        mpfr_set_d(r24156, t, MPFR_RNDN);
        mpfr_set_d(r24157, l, MPFR_RNDN);
        mpfr_set_d(r24158, Om, MPFR_RNDN);
        mpfr_div(r24159, r24158, r24157, MPFR_RNDN);
        mpfr_div(r24160, r24157, r24159, MPFR_RNDN);
        mpfr_mul(r24161, r24147, r24160, MPFR_RNDN);
        mpfr_sub(r24162, r24156, r24161, MPFR_RNDN);
        mpfr_div(r24163, r24157, r24158, MPFR_RNDN);
        mpfr_pow(r24164, r24163, r24147, MPFR_RNDN);
        mpfr_mul(r24165, r24149, r24164, MPFR_RNDN);
        mpfr_set_d(r24166, U_, MPFR_RNDN);
        mpfr_sub(r24167, r24148, r24166, MPFR_RNDN);
        mpfr_mul(r24168, r24165, r24167, MPFR_RNDN);
        mpfr_sub(r24169, r24162, r24168, MPFR_RNDN);
        mpfr_mul(r24170, r24148, r24169, MPFR_RNDN);
        mpfr_sqrt(r24171, r24170, MPFR_RNDN);
        mpfr_mul(r24172, r24155, r24171, MPFR_RNDN);
        ;
        mpfr_set_si(r24174, mpfr_cmp(r24151, r24173) <= 0, MPFR_RNDN);
        mpfr_mul(r24175, r24154, r24148, MPFR_RNDN);
        mpfr_mul(r24176, r24175, r24169, MPFR_RNDN);
        mpfr_sqrt(r24177, r24176, MPFR_RNDN);
        ;
        mpfr_set_si(r24179, mpfr_cmp(r24151, r24178) <= 0, MPFR_RNDN);
        mpfr_mul(r24180, r24154, r24170, MPFR_RNDN);
        mpfr_sqrt(r24181, r24180, MPFR_RNDN);
        mpfr_sqrt(r24182, r24175, MPFR_RNDN);
        mpfr_sqrt(r24183, r24169, MPFR_RNDN);
        mpfr_mul(r24184, r24182, r24183, MPFR_RNDN);
        if (mpfr_get_si(r24179, MPFR_RNDN)) { mpfr_set(r24185, r24181, MPFR_RNDN); } else { mpfr_set(r24185, r24184, MPFR_RNDN); };
        if (mpfr_get_si(r24174, MPFR_RNDN)) { mpfr_set(r24186, r24177, MPFR_RNDN); } else { mpfr_set(r24186, r24185, MPFR_RNDN); };
        if (mpfr_get_si(r24153, MPFR_RNDN)) { mpfr_set(r24187, r24172, MPFR_RNDN); } else { mpfr_set(r24187, r24186, MPFR_RNDN); };
        return mpfr_get_d(r24187, MPFR_RNDN);
}