#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 r23894 = 2;
        float r23895 = n;
        float r23896 = r23894 * r23895;
        float r23897 = U;
        float r23898 = r23896 * r23897;
        float r23899 = t;
        float r23900 = l;
        float r23901 = r23900 * r23900;
        float r23902 = Om;
        float r23903 = r23901 / r23902;
        float r23904 = r23894 * r23903;
        float r23905 = r23899 - r23904;
        float r23906 = r23900 / r23902;
        float r23907 = pow(r23906, r23894);
        float r23908 = r23895 * r23907;
        float r23909 = U_;
        float r23910 = r23897 - r23909;
        float r23911 = r23908 * r23910;
        float r23912 = r23905 - r23911;
        float r23913 = r23898 * r23912;
        float r23914 = sqrt(r23913);
        return r23914;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r23915 = 2;
        double r23916 = n;
        double r23917 = r23915 * r23916;
        double r23918 = U;
        double r23919 = r23917 * r23918;
        double r23920 = t;
        double r23921 = l;
        double r23922 = r23921 * r23921;
        double r23923 = Om;
        double r23924 = r23922 / r23923;
        double r23925 = r23915 * r23924;
        double r23926 = r23920 - r23925;
        double r23927 = r23921 / r23923;
        double r23928 = pow(r23927, r23915);
        double r23929 = r23916 * r23928;
        double r23930 = U_;
        double r23931 = r23918 - r23930;
        double r23932 = r23929 * r23931;
        double r23933 = r23926 - r23932;
        double r23934 = r23919 * r23933;
        double r23935 = sqrt(r23934);
        return r23935;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r23936 = U;
        float r23937 = n;
        float r23938 = r23936 * r23937;
        float r23939 = 2;
        float r23940 = r23938 * r23939;
        float r23941 = l;
        float r23942 = Om;
        float r23943 = r23941 / r23942;
        float r23944 = U_;
        float r23945 = r23944 - r23936;
        float r23946 = r23943 * r23937;
        float r23947 = r23945 * r23946;
        float r23948 = t;
        float r23949 = r23941 * r23939;
        float r23950 = r23949 * r23943;
        float r23951 = r23948 - r23950;
        float r23952 = fma(r23943, r23947, r23951);
        float r23953 = r23940 * r23952;
        float r23954 = 0;
        float r23955 = r23954 * r23937;
        float r23956 = r23936 * r23939;
        float r23957 = r23955 * r23956;
        float r23958 = r23953 + r23957;
        float r23959 = sqrt(r23958);
        float r23960 = 1.5612274016013025e-137;
        bool r23961 = r23959 <= r23960;
        float r23962 = r23939 * r23937;
        float r23963 = sqrt(r23962);
        float r23964 = r23941 * r23941;
        float r23965 = r23964 / r23942;
        float r23966 = r23939 * r23965;
        float r23967 = r23948 - r23966;
        float r23968 = pow(r23943, r23939);
        float r23969 = r23937 * r23968;
        float r23970 = r23936 - r23944;
        float r23971 = r23969 * r23970;
        float r23972 = r23967 - r23971;
        float r23973 = r23936 * r23972;
        float r23974 = sqrt(r23973);
        float r23975 = r23963 * r23974;
        float r23976 = 6.922017922103257e+152;
        bool r23977 = r23959 <= r23976;
        float r23978 = r23962 * r23936;
        float r23979 = sqrt(r23978);
        float r23980 = sqrt(r23972);
        float r23981 = r23979 * r23980;
        float r23982 = r23977 ? r23959 : r23981;
        float r23983 = r23961 ? r23975 : r23982;
        return r23983;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r23984 = U;
        double r23985 = n;
        double r23986 = r23984 * r23985;
        double r23987 = 2;
        double r23988 = r23986 * r23987;
        double r23989 = l;
        double r23990 = Om;
        double r23991 = r23989 / r23990;
        double r23992 = U_;
        double r23993 = r23992 - r23984;
        double r23994 = r23991 * r23985;
        double r23995 = r23993 * r23994;
        double r23996 = t;
        double r23997 = r23989 * r23987;
        double r23998 = r23997 * r23991;
        double r23999 = r23996 - r23998;
        double r24000 = fma(r23991, r23995, r23999);
        double r24001 = r23988 * r24000;
        double r24002 = 0;
        double r24003 = r24002 * r23985;
        double r24004 = r23984 * r23987;
        double r24005 = r24003 * r24004;
        double r24006 = r24001 + r24005;
        double r24007 = sqrt(r24006);
        double r24008 = 1.5612274016013025e-137;
        bool r24009 = r24007 <= r24008;
        double r24010 = r23987 * r23985;
        double r24011 = sqrt(r24010);
        double r24012 = r23989 * r23989;
        double r24013 = r24012 / r23990;
        double r24014 = r23987 * r24013;
        double r24015 = r23996 - r24014;
        double r24016 = pow(r23991, r23987);
        double r24017 = r23985 * r24016;
        double r24018 = r23984 - r23992;
        double r24019 = r24017 * r24018;
        double r24020 = r24015 - r24019;
        double r24021 = r23984 * r24020;
        double r24022 = sqrt(r24021);
        double r24023 = r24011 * r24022;
        double r24024 = 6.922017922103257e+152;
        bool r24025 = r24007 <= r24024;
        double r24026 = r24010 * r23984;
        double r24027 = sqrt(r24026);
        double r24028 = sqrt(r24020);
        double r24029 = r24027 * r24028;
        double r24030 = r24025 ? r24007 : r24029;
        double r24031 = r24009 ? r24023 : r24030;
        return r24031;
}

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 r24032, r24033, r24034, r24035, r24036, r24037, r24038, r24039, r24040, r24041, r24042, r24043, r24044, r24045, r24046, r24047, r24048, r24049, r24050, r24051, r24052;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24032, "2", 10, MPFR_RNDN);
        mpfr_init(r24033);
        mpfr_init(r24034);
        mpfr_init(r24035);
        mpfr_init(r24036);
        mpfr_init(r24037);
        mpfr_init(r24038);
        mpfr_init(r24039);
        mpfr_init(r24040);
        mpfr_init(r24041);
        mpfr_init(r24042);
        mpfr_init(r24043);
        mpfr_init(r24044);
        mpfr_init(r24045);
        mpfr_init(r24046);
        mpfr_init(r24047);
        mpfr_init(r24048);
        mpfr_init(r24049);
        mpfr_init(r24050);
        mpfr_init(r24051);
        mpfr_init(r24052);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24033, n, MPFR_RNDN);
        mpfr_mul(r24034, r24032, r24033, MPFR_RNDN);
        mpfr_set_d(r24035, U, MPFR_RNDN);
        mpfr_mul(r24036, r24034, r24035, MPFR_RNDN);
        mpfr_set_d(r24037, t, MPFR_RNDN);
        mpfr_set_d(r24038, l, MPFR_RNDN);
        mpfr_mul(r24039, r24038, r24038, MPFR_RNDN);
        mpfr_set_d(r24040, Om, MPFR_RNDN);
        mpfr_div(r24041, r24039, r24040, MPFR_RNDN);
        mpfr_mul(r24042, r24032, r24041, MPFR_RNDN);
        mpfr_sub(r24043, r24037, r24042, MPFR_RNDN);
        mpfr_div(r24044, r24038, r24040, MPFR_RNDN);
        mpfr_pow(r24045, r24044, r24032, MPFR_RNDN);
        mpfr_mul(r24046, r24033, r24045, MPFR_RNDN);
        mpfr_set_d(r24047, U_, MPFR_RNDN);
        mpfr_sub(r24048, r24035, r24047, MPFR_RNDN);
        mpfr_mul(r24049, r24046, r24048, MPFR_RNDN);
        mpfr_sub(r24050, r24043, r24049, MPFR_RNDN);
        mpfr_mul(r24051, r24036, r24050, MPFR_RNDN);
        mpfr_sqrt(r24052, r24051, MPFR_RNDN);
        return mpfr_get_d(r24052, MPFR_RNDN);
}

static mpfr_t r24053, r24054, r24055, r24056, r24057, r24058, r24059, r24060, r24061, r24062, r24063, r24064, r24065, r24066, r24067, r24068, r24069, r24070, r24071, r24072, r24073, r24074, r24075, r24076, r24077, r24078, r24079, r24080, r24081, r24082, r24083, r24084, r24085, r24086, r24087, r24088, r24089, r24090, r24091, r24092, r24093, r24094, r24095, r24096, r24097, r24098, r24099, r24100;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24053);
        mpfr_init(r24054);
        mpfr_init(r24055);
        mpfr_init_set_str(r24056, "2", 10, MPFR_RNDN);
        mpfr_init(r24057);
        mpfr_init(r24058);
        mpfr_init(r24059);
        mpfr_init(r24060);
        mpfr_init(r24061);
        mpfr_init(r24062);
        mpfr_init(r24063);
        mpfr_init(r24064);
        mpfr_init(r24065);
        mpfr_init(r24066);
        mpfr_init(r24067);
        mpfr_init(r24068);
        mpfr_init(r24069);
        mpfr_init(r24070);
        mpfr_init_set_str(r24071, "0", 10, MPFR_RNDN);
        mpfr_init(r24072);
        mpfr_init(r24073);
        mpfr_init(r24074);
        mpfr_init(r24075);
        mpfr_init(r24076);
        mpfr_init_set_str(r24077, "1.5612274016013025e-137", 10, MPFR_RNDN);
        mpfr_init(r24078);
        mpfr_init(r24079);
        mpfr_init(r24080);
        mpfr_init(r24081);
        mpfr_init(r24082);
        mpfr_init(r24083);
        mpfr_init(r24084);
        mpfr_init(r24085);
        mpfr_init(r24086);
        mpfr_init(r24087);
        mpfr_init(r24088);
        mpfr_init(r24089);
        mpfr_init(r24090);
        mpfr_init(r24091);
        mpfr_init(r24092);
        mpfr_init_set_str(r24093, "6.922017922103257e+152", 10, MPFR_RNDN);
        mpfr_init(r24094);
        mpfr_init(r24095);
        mpfr_init(r24096);
        mpfr_init(r24097);
        mpfr_init(r24098);
        mpfr_init(r24099);
        mpfr_init(r24100);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24053, U, MPFR_RNDN);
        mpfr_set_d(r24054, n, MPFR_RNDN);
        mpfr_mul(r24055, r24053, r24054, MPFR_RNDN);
        ;
        mpfr_mul(r24057, r24055, r24056, MPFR_RNDN);
        mpfr_set_d(r24058, l, MPFR_RNDN);
        mpfr_set_d(r24059, Om, MPFR_RNDN);
        mpfr_div(r24060, r24058, r24059, MPFR_RNDN);
        mpfr_set_d(r24061, U_, MPFR_RNDN);
        mpfr_sub(r24062, r24061, r24053, MPFR_RNDN);
        mpfr_mul(r24063, r24060, r24054, MPFR_RNDN);
        mpfr_mul(r24064, r24062, r24063, MPFR_RNDN);
        mpfr_set_d(r24065, t, MPFR_RNDN);
        mpfr_mul(r24066, r24058, r24056, MPFR_RNDN);
        mpfr_mul(r24067, r24066, r24060, MPFR_RNDN);
        mpfr_sub(r24068, r24065, r24067, MPFR_RNDN);
        mpfr_fma(r24069, r24060, r24064, r24068, MPFR_RNDN);
        mpfr_mul(r24070, r24057, r24069, MPFR_RNDN);
        ;
        mpfr_mul(r24072, r24071, r24054, MPFR_RNDN);
        mpfr_mul(r24073, r24053, r24056, MPFR_RNDN);
        mpfr_mul(r24074, r24072, r24073, MPFR_RNDN);
        mpfr_add(r24075, r24070, r24074, MPFR_RNDN);
        mpfr_sqrt(r24076, r24075, MPFR_RNDN);
        ;
        mpfr_set_si(r24078, mpfr_cmp(r24076, r24077) <= 0, MPFR_RNDN);
        mpfr_mul(r24079, r24056, r24054, MPFR_RNDN);
        mpfr_sqrt(r24080, r24079, MPFR_RNDN);
        mpfr_mul(r24081, r24058, r24058, MPFR_RNDN);
        mpfr_div(r24082, r24081, r24059, MPFR_RNDN);
        mpfr_mul(r24083, r24056, r24082, MPFR_RNDN);
        mpfr_sub(r24084, r24065, r24083, MPFR_RNDN);
        mpfr_pow(r24085, r24060, r24056, MPFR_RNDN);
        mpfr_mul(r24086, r24054, r24085, MPFR_RNDN);
        mpfr_sub(r24087, r24053, r24061, MPFR_RNDN);
        mpfr_mul(r24088, r24086, r24087, MPFR_RNDN);
        mpfr_sub(r24089, r24084, r24088, MPFR_RNDN);
        mpfr_mul(r24090, r24053, r24089, MPFR_RNDN);
        mpfr_sqrt(r24091, r24090, MPFR_RNDN);
        mpfr_mul(r24092, r24080, r24091, MPFR_RNDN);
        ;
        mpfr_set_si(r24094, mpfr_cmp(r24076, r24093) <= 0, MPFR_RNDN);
        mpfr_mul(r24095, r24079, r24053, MPFR_RNDN);
        mpfr_sqrt(r24096, r24095, MPFR_RNDN);
        mpfr_sqrt(r24097, r24089, MPFR_RNDN);
        mpfr_mul(r24098, r24096, r24097, MPFR_RNDN);
        if (mpfr_get_si(r24094, MPFR_RNDN)) { mpfr_set(r24099, r24076, MPFR_RNDN); } else { mpfr_set(r24099, r24098, MPFR_RNDN); };
        if (mpfr_get_si(r24078, MPFR_RNDN)) { mpfr_set(r24100, r24092, MPFR_RNDN); } else { mpfr_set(r24100, r24099, MPFR_RNDN); };
        return mpfr_get_d(r24100, MPFR_RNDN);
}

static mpfr_t r24101, r24102, r24103, r24104, r24105, 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, r24147, r24148;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24101);
        mpfr_init(r24102);
        mpfr_init(r24103);
        mpfr_init_set_str(r24104, "2", 10, MPFR_RNDN);
        mpfr_init(r24105);
        mpfr_init(r24106);
        mpfr_init(r24107);
        mpfr_init(r24108);
        mpfr_init(r24109);
        mpfr_init(r24110);
        mpfr_init(r24111);
        mpfr_init(r24112);
        mpfr_init(r24113);
        mpfr_init(r24114);
        mpfr_init(r24115);
        mpfr_init(r24116);
        mpfr_init(r24117);
        mpfr_init(r24118);
        mpfr_init_set_str(r24119, "0", 10, MPFR_RNDN);
        mpfr_init(r24120);
        mpfr_init(r24121);
        mpfr_init(r24122);
        mpfr_init(r24123);
        mpfr_init(r24124);
        mpfr_init_set_str(r24125, "1.5612274016013025e-137", 10, MPFR_RNDN);
        mpfr_init(r24126);
        mpfr_init(r24127);
        mpfr_init(r24128);
        mpfr_init(r24129);
        mpfr_init(r24130);
        mpfr_init(r24131);
        mpfr_init(r24132);
        mpfr_init(r24133);
        mpfr_init(r24134);
        mpfr_init(r24135);
        mpfr_init(r24136);
        mpfr_init(r24137);
        mpfr_init(r24138);
        mpfr_init(r24139);
        mpfr_init(r24140);
        mpfr_init_set_str(r24141, "6.922017922103257e+152", 10, MPFR_RNDN);
        mpfr_init(r24142);
        mpfr_init(r24143);
        mpfr_init(r24144);
        mpfr_init(r24145);
        mpfr_init(r24146);
        mpfr_init(r24147);
        mpfr_init(r24148);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24101, U, MPFR_RNDN);
        mpfr_set_d(r24102, n, MPFR_RNDN);
        mpfr_mul(r24103, r24101, r24102, MPFR_RNDN);
        ;
        mpfr_mul(r24105, r24103, r24104, MPFR_RNDN);
        mpfr_set_d(r24106, l, MPFR_RNDN);
        mpfr_set_d(r24107, Om, MPFR_RNDN);
        mpfr_div(r24108, r24106, r24107, MPFR_RNDN);
        mpfr_set_d(r24109, U_, MPFR_RNDN);
        mpfr_sub(r24110, r24109, r24101, MPFR_RNDN);
        mpfr_mul(r24111, r24108, r24102, MPFR_RNDN);
        mpfr_mul(r24112, r24110, r24111, MPFR_RNDN);
        mpfr_set_d(r24113, t, MPFR_RNDN);
        mpfr_mul(r24114, r24106, r24104, MPFR_RNDN);
        mpfr_mul(r24115, r24114, r24108, MPFR_RNDN);
        mpfr_sub(r24116, r24113, r24115, MPFR_RNDN);
        mpfr_fma(r24117, r24108, r24112, r24116, MPFR_RNDN);
        mpfr_mul(r24118, r24105, r24117, MPFR_RNDN);
        ;
        mpfr_mul(r24120, r24119, r24102, MPFR_RNDN);
        mpfr_mul(r24121, r24101, r24104, MPFR_RNDN);
        mpfr_mul(r24122, r24120, r24121, MPFR_RNDN);
        mpfr_add(r24123, r24118, r24122, MPFR_RNDN);
        mpfr_sqrt(r24124, r24123, MPFR_RNDN);
        ;
        mpfr_set_si(r24126, mpfr_cmp(r24124, r24125) <= 0, MPFR_RNDN);
        mpfr_mul(r24127, r24104, r24102, MPFR_RNDN);
        mpfr_sqrt(r24128, r24127, MPFR_RNDN);
        mpfr_mul(r24129, r24106, r24106, MPFR_RNDN);
        mpfr_div(r24130, r24129, r24107, MPFR_RNDN);
        mpfr_mul(r24131, r24104, r24130, MPFR_RNDN);
        mpfr_sub(r24132, r24113, r24131, MPFR_RNDN);
        mpfr_pow(r24133, r24108, r24104, MPFR_RNDN);
        mpfr_mul(r24134, r24102, r24133, MPFR_RNDN);
        mpfr_sub(r24135, r24101, r24109, MPFR_RNDN);
        mpfr_mul(r24136, r24134, r24135, MPFR_RNDN);
        mpfr_sub(r24137, r24132, r24136, MPFR_RNDN);
        mpfr_mul(r24138, r24101, r24137, MPFR_RNDN);
        mpfr_sqrt(r24139, r24138, MPFR_RNDN);
        mpfr_mul(r24140, r24128, r24139, MPFR_RNDN);
        ;
        mpfr_set_si(r24142, mpfr_cmp(r24124, r24141) <= 0, MPFR_RNDN);
        mpfr_mul(r24143, r24127, r24101, MPFR_RNDN);
        mpfr_sqrt(r24144, r24143, MPFR_RNDN);
        mpfr_sqrt(r24145, r24137, MPFR_RNDN);
        mpfr_mul(r24146, r24144, r24145, MPFR_RNDN);
        if (mpfr_get_si(r24142, MPFR_RNDN)) { mpfr_set(r24147, r24124, MPFR_RNDN); } else { mpfr_set(r24147, r24146, MPFR_RNDN); };
        if (mpfr_get_si(r24126, MPFR_RNDN)) { mpfr_set(r24148, r24140, MPFR_RNDN); } else { mpfr_set(r24148, r24147, MPFR_RNDN); };
        return mpfr_get_d(r24148, MPFR_RNDN);
}