#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 r24932 = 2;
        float r24933 = n;
        float r24934 = r24932 * r24933;
        float r24935 = U;
        float r24936 = r24934 * r24935;
        float r24937 = t;
        float r24938 = l;
        float r24939 = r24938 * r24938;
        float r24940 = Om;
        float r24941 = r24939 / r24940;
        float r24942 = r24932 * r24941;
        float r24943 = r24937 - r24942;
        float r24944 = r24938 / r24940;
        float r24945 = pow(r24944, r24932);
        float r24946 = r24933 * r24945;
        float r24947 = U_;
        float r24948 = r24935 - r24947;
        float r24949 = r24946 * r24948;
        float r24950 = r24943 - r24949;
        float r24951 = r24936 * r24950;
        float r24952 = sqrt(r24951);
        return r24952;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24953 = 2;
        double r24954 = n;
        double r24955 = r24953 * r24954;
        double r24956 = U;
        double r24957 = r24955 * r24956;
        double r24958 = t;
        double r24959 = l;
        double r24960 = r24959 * r24959;
        double r24961 = Om;
        double r24962 = r24960 / r24961;
        double r24963 = r24953 * r24962;
        double r24964 = r24958 - r24963;
        double r24965 = r24959 / r24961;
        double r24966 = pow(r24965, r24953);
        double r24967 = r24954 * r24966;
        double r24968 = U_;
        double r24969 = r24956 - r24968;
        double r24970 = r24967 * r24969;
        double r24971 = r24964 - r24970;
        double r24972 = r24957 * r24971;
        double r24973 = sqrt(r24972);
        return r24973;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24974 = U;
        float r24975 = t;
        float r24976 = 2;
        float r24977 = l;
        float r24978 = pow(r24977, r24976);
        float r24979 = Om;
        float r24980 = r24978 / r24979;
        float r24981 = r24976 * r24980;
        float r24982 = r24975 - r24981;
        float r24983 = r24974 * r24982;
        float r24984 = -1.1075369580943968e+163;
        bool r24985 = r24983 <= r24984;
        float r24986 = r24979 / r24977;
        float r24987 = r24977 / r24986;
        float r24988 = r24987 * r24976;
        float r24989 = r24975 - r24988;
        float r24990 = r24977 / r24979;
        float r24991 = pow(r24990, r24976);
        float r24992 = n;
        float r24993 = r24991 * r24992;
        float r24994 = U_;
        float r24995 = r24974 - r24994;
        float r24996 = r24993 * r24995;
        float r24997 = r24989 - r24996;
        float r24998 = r24976 * r24992;
        float r24999 = r24998 * r24974;
        float r25000 = r24997 * r24999;
        float r25001 = sqrt(r25000);
        float r25002 = -5.826898217003288e-228;
        bool r25003 = r24983 <= r25002;
        float r25004 = cbrt(r24990);
        float r25005 = pow(r25004, r24976);
        float r25006 = r24979 / r24992;
        float r25007 = r24977 / r25006;
        float r25008 = r25007 * r25004;
        float r25009 = r25005 * r25008;
        float r25010 = r25009 * r24995;
        float r25011 = r24989 - r25010;
        float r25012 = r25011 * r24974;
        float r25013 = r24998 * r25012;
        float r25014 = sqrt(r25013);
        float r25015 = 4.537323238075e-313;
        bool r25016 = r24983 <= r25015;
        float r25017 = 3.5255739183697707e+295;
        bool r25018 = r24983 <= r25017;
        float r25019 = !r25018;
        bool r25020 = r25016 || r25019;
        float r25021 = r24974 * r24997;
        float r25022 = sqrt(r25021);
        float r25023 = sqrt(r24998);
        float r25024 = r25022 * r25023;
        float r25025 = r25020 ? r25001 : r25024;
        float r25026 = r25003 ? r25014 : r25025;
        float r25027 = r24985 ? r25001 : r25026;
        return r25027;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r25028 = U;
        double r25029 = t;
        double r25030 = 2;
        double r25031 = l;
        double r25032 = pow(r25031, r25030);
        double r25033 = Om;
        double r25034 = r25032 / r25033;
        double r25035 = r25030 * r25034;
        double r25036 = r25029 - r25035;
        double r25037 = r25028 * r25036;
        double r25038 = -1.1075369580943968e+163;
        bool r25039 = r25037 <= r25038;
        double r25040 = r25033 / r25031;
        double r25041 = r25031 / r25040;
        double r25042 = r25041 * r25030;
        double r25043 = r25029 - r25042;
        double r25044 = r25031 / r25033;
        double r25045 = pow(r25044, r25030);
        double r25046 = n;
        double r25047 = r25045 * r25046;
        double r25048 = U_;
        double r25049 = r25028 - r25048;
        double r25050 = r25047 * r25049;
        double r25051 = r25043 - r25050;
        double r25052 = r25030 * r25046;
        double r25053 = r25052 * r25028;
        double r25054 = r25051 * r25053;
        double r25055 = sqrt(r25054);
        double r25056 = -5.826898217003288e-228;
        bool r25057 = r25037 <= r25056;
        double r25058 = cbrt(r25044);
        double r25059 = pow(r25058, r25030);
        double r25060 = r25033 / r25046;
        double r25061 = r25031 / r25060;
        double r25062 = r25061 * r25058;
        double r25063 = r25059 * r25062;
        double r25064 = r25063 * r25049;
        double r25065 = r25043 - r25064;
        double r25066 = r25065 * r25028;
        double r25067 = r25052 * r25066;
        double r25068 = sqrt(r25067);
        double r25069 = 4.537323238075e-313;
        bool r25070 = r25037 <= r25069;
        double r25071 = 3.5255739183697707e+295;
        bool r25072 = r25037 <= r25071;
        double r25073 = !r25072;
        bool r25074 = r25070 || r25073;
        double r25075 = r25028 * r25051;
        double r25076 = sqrt(r25075);
        double r25077 = sqrt(r25052);
        double r25078 = r25076 * r25077;
        double r25079 = r25074 ? r25055 : r25078;
        double r25080 = r25057 ? r25068 : r25079;
        double r25081 = r25039 ? r25055 : r25080;
        return r25081;
}

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 r25082, r25083, r25084, r25085, r25086, r25087, r25088, r25089, r25090, r25091, r25092, r25093, r25094, r25095, r25096, r25097, r25098, r25099, r25100, r25101, r25102;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25082, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r25095);
        mpfr_init(r25096);
        mpfr_init(r25097);
        mpfr_init(r25098);
        mpfr_init(r25099);
        mpfr_init(r25100);
        mpfr_init(r25101);
        mpfr_init(r25102);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25083, n, MPFR_RNDN);
        mpfr_mul(r25084, r25082, r25083, MPFR_RNDN);
        mpfr_set_d(r25085, U, MPFR_RNDN);
        mpfr_mul(r25086, r25084, r25085, MPFR_RNDN);
        mpfr_set_d(r25087, t, MPFR_RNDN);
        mpfr_set_d(r25088, l, MPFR_RNDN);
        mpfr_mul(r25089, r25088, r25088, MPFR_RNDN);
        mpfr_set_d(r25090, Om, MPFR_RNDN);
        mpfr_div(r25091, r25089, r25090, MPFR_RNDN);
        mpfr_mul(r25092, r25082, r25091, MPFR_RNDN);
        mpfr_sub(r25093, r25087, r25092, MPFR_RNDN);
        mpfr_div(r25094, r25088, r25090, MPFR_RNDN);
        mpfr_pow(r25095, r25094, r25082, MPFR_RNDN);
        mpfr_mul(r25096, r25083, r25095, MPFR_RNDN);
        mpfr_set_d(r25097, U_, MPFR_RNDN);
        mpfr_sub(r25098, r25085, r25097, MPFR_RNDN);
        mpfr_mul(r25099, r25096, r25098, MPFR_RNDN);
        mpfr_sub(r25100, r25093, r25099, MPFR_RNDN);
        mpfr_mul(r25101, r25086, r25100, MPFR_RNDN);
        mpfr_sqrt(r25102, r25101, MPFR_RNDN);
        return mpfr_get_d(r25102, MPFR_RNDN);
}

static mpfr_t 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, r25152, r25153, r25154, r25155, r25156;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r25103);
        mpfr_init(r25104);
        mpfr_init_set_str(r25105, "2", 10, MPFR_RNDN);
        mpfr_init(r25106);
        mpfr_init(r25107);
        mpfr_init(r25108);
        mpfr_init(r25109);
        mpfr_init(r25110);
        mpfr_init(r25111);
        mpfr_init(r25112);
        mpfr_init_set_str(r25113, "-1.1075369580943968e+163", 10, MPFR_RNDN);
        mpfr_init(r25114);
        mpfr_init(r25115);
        mpfr_init(r25116);
        mpfr_init(r25117);
        mpfr_init(r25118);
        mpfr_init(r25119);
        mpfr_init(r25120);
        mpfr_init(r25121);
        mpfr_init(r25122);
        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_set_str(r25131, "-5.826898217003288e-228", 10, MPFR_RNDN);
        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_set_str(r25144, "4.537323238075e-313", 10, MPFR_RNDN);
        mpfr_init(r25145);
        mpfr_init_set_str(r25146, "3.5255739183697707e+295", 10, MPFR_RNDN);
        mpfr_init(r25147);
        mpfr_init(r25148);
        mpfr_init(r25149);
        mpfr_init(r25150);
        mpfr_init(r25151);
        mpfr_init(r25152);
        mpfr_init(r25153);
        mpfr_init(r25154);
        mpfr_init(r25155);
        mpfr_init(r25156);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r25103, U, MPFR_RNDN);
        mpfr_set_d(r25104, t, MPFR_RNDN);
        ;
        mpfr_set_d(r25106, l, MPFR_RNDN);
        mpfr_pow(r25107, r25106, r25105, MPFR_RNDN);
        mpfr_set_d(r25108, Om, MPFR_RNDN);
        mpfr_div(r25109, r25107, r25108, MPFR_RNDN);
        mpfr_mul(r25110, r25105, r25109, MPFR_RNDN);
        mpfr_sub(r25111, r25104, r25110, MPFR_RNDN);
        mpfr_mul(r25112, r25103, r25111, MPFR_RNDN);
        ;
        mpfr_set_si(r25114, mpfr_cmp(r25112, r25113) <= 0, MPFR_RNDN);
        mpfr_div(r25115, r25108, r25106, MPFR_RNDN);
        mpfr_div(r25116, r25106, r25115, MPFR_RNDN);
        mpfr_mul(r25117, r25116, r25105, MPFR_RNDN);
        mpfr_sub(r25118, r25104, r25117, MPFR_RNDN);
        mpfr_div(r25119, r25106, r25108, MPFR_RNDN);
        mpfr_pow(r25120, r25119, r25105, MPFR_RNDN);
        mpfr_set_d(r25121, n, MPFR_RNDN);
        mpfr_mul(r25122, r25120, r25121, MPFR_RNDN);
        mpfr_set_d(r25123, U_, MPFR_RNDN);
        mpfr_sub(r25124, r25103, r25123, MPFR_RNDN);
        mpfr_mul(r25125, r25122, r25124, MPFR_RNDN);
        mpfr_sub(r25126, r25118, r25125, MPFR_RNDN);
        mpfr_mul(r25127, r25105, r25121, MPFR_RNDN);
        mpfr_mul(r25128, r25127, r25103, MPFR_RNDN);
        mpfr_mul(r25129, r25126, r25128, MPFR_RNDN);
        mpfr_sqrt(r25130, r25129, MPFR_RNDN);
        ;
        mpfr_set_si(r25132, mpfr_cmp(r25112, r25131) <= 0, MPFR_RNDN);
        mpfr_cbrt(r25133, r25119, MPFR_RNDN);
        mpfr_pow(r25134, r25133, r25105, MPFR_RNDN);
        mpfr_div(r25135, r25108, r25121, MPFR_RNDN);
        mpfr_div(r25136, r25106, r25135, MPFR_RNDN);
        mpfr_mul(r25137, r25136, r25133, MPFR_RNDN);
        mpfr_mul(r25138, r25134, r25137, MPFR_RNDN);
        mpfr_mul(r25139, r25138, r25124, MPFR_RNDN);
        mpfr_sub(r25140, r25118, r25139, MPFR_RNDN);
        mpfr_mul(r25141, r25140, r25103, MPFR_RNDN);
        mpfr_mul(r25142, r25127, r25141, MPFR_RNDN);
        mpfr_sqrt(r25143, r25142, MPFR_RNDN);
        ;
        mpfr_set_si(r25145, mpfr_cmp(r25112, r25144) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r25147, mpfr_cmp(r25112, r25146) <= 0, MPFR_RNDN);
        mpfr_set_si(r25148, !mpfr_get_si(r25147, MPFR_RNDN), MPFR_RNDN);
        mpfr_set_si(r25149, mpfr_get_si(r25145, MPFR_RNDN) || mpfr_get_si(r25148, MPFR_RNDN), MPFR_RNDN);
        mpfr_mul(r25150, r25103, r25126, MPFR_RNDN);
        mpfr_sqrt(r25151, r25150, MPFR_RNDN);
        mpfr_sqrt(r25152, r25127, MPFR_RNDN);
        mpfr_mul(r25153, r25151, r25152, MPFR_RNDN);
        if (mpfr_get_si(r25149, MPFR_RNDN)) { mpfr_set(r25154, r25130, MPFR_RNDN); } else { mpfr_set(r25154, r25153, MPFR_RNDN); };
        if (mpfr_get_si(r25132, MPFR_RNDN)) { mpfr_set(r25155, r25143, MPFR_RNDN); } else { mpfr_set(r25155, r25154, MPFR_RNDN); };
        if (mpfr_get_si(r25114, MPFR_RNDN)) { mpfr_set(r25156, r25130, MPFR_RNDN); } else { mpfr_set(r25156, r25155, MPFR_RNDN); };
        return mpfr_get_d(r25156, MPFR_RNDN);
}

static mpfr_t r25157, r25158, r25159, r25160, r25161, r25162, r25163, r25164, r25165, r25166, r25167, r25168, r25169, r25170, r25171, r25172, r25173, r25174, r25175, r25176, r25177, r25178, r25179, r25180, r25181, r25182, r25183, r25184, r25185, r25186, r25187, r25188, r25189, r25190, r25191, r25192, r25193, r25194, r25195, r25196, r25197, r25198, r25199, r25200, r25201, r25202, r25203, r25204, r25205, r25206, r25207, r25208, r25209, r25210;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r25157);
        mpfr_init(r25158);
        mpfr_init_set_str(r25159, "2", 10, MPFR_RNDN);
        mpfr_init(r25160);
        mpfr_init(r25161);
        mpfr_init(r25162);
        mpfr_init(r25163);
        mpfr_init(r25164);
        mpfr_init(r25165);
        mpfr_init(r25166);
        mpfr_init_set_str(r25167, "-1.1075369580943968e+163", 10, MPFR_RNDN);
        mpfr_init(r25168);
        mpfr_init(r25169);
        mpfr_init(r25170);
        mpfr_init(r25171);
        mpfr_init(r25172);
        mpfr_init(r25173);
        mpfr_init(r25174);
        mpfr_init(r25175);
        mpfr_init(r25176);
        mpfr_init(r25177);
        mpfr_init(r25178);
        mpfr_init(r25179);
        mpfr_init(r25180);
        mpfr_init(r25181);
        mpfr_init(r25182);
        mpfr_init(r25183);
        mpfr_init(r25184);
        mpfr_init_set_str(r25185, "-5.826898217003288e-228", 10, MPFR_RNDN);
        mpfr_init(r25186);
        mpfr_init(r25187);
        mpfr_init(r25188);
        mpfr_init(r25189);
        mpfr_init(r25190);
        mpfr_init(r25191);
        mpfr_init(r25192);
        mpfr_init(r25193);
        mpfr_init(r25194);
        mpfr_init(r25195);
        mpfr_init(r25196);
        mpfr_init(r25197);
        mpfr_init_set_str(r25198, "4.537323238075e-313", 10, MPFR_RNDN);
        mpfr_init(r25199);
        mpfr_init_set_str(r25200, "3.5255739183697707e+295", 10, MPFR_RNDN);
        mpfr_init(r25201);
        mpfr_init(r25202);
        mpfr_init(r25203);
        mpfr_init(r25204);
        mpfr_init(r25205);
        mpfr_init(r25206);
        mpfr_init(r25207);
        mpfr_init(r25208);
        mpfr_init(r25209);
        mpfr_init(r25210);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r25157, U, MPFR_RNDN);
        mpfr_set_d(r25158, t, MPFR_RNDN);
        ;
        mpfr_set_d(r25160, l, MPFR_RNDN);
        mpfr_pow(r25161, r25160, r25159, MPFR_RNDN);
        mpfr_set_d(r25162, Om, MPFR_RNDN);
        mpfr_div(r25163, r25161, r25162, MPFR_RNDN);
        mpfr_mul(r25164, r25159, r25163, MPFR_RNDN);
        mpfr_sub(r25165, r25158, r25164, MPFR_RNDN);
        mpfr_mul(r25166, r25157, r25165, MPFR_RNDN);
        ;
        mpfr_set_si(r25168, mpfr_cmp(r25166, r25167) <= 0, MPFR_RNDN);
        mpfr_div(r25169, r25162, r25160, MPFR_RNDN);
        mpfr_div(r25170, r25160, r25169, MPFR_RNDN);
        mpfr_mul(r25171, r25170, r25159, MPFR_RNDN);
        mpfr_sub(r25172, r25158, r25171, MPFR_RNDN);
        mpfr_div(r25173, r25160, r25162, MPFR_RNDN);
        mpfr_pow(r25174, r25173, r25159, MPFR_RNDN);
        mpfr_set_d(r25175, n, MPFR_RNDN);
        mpfr_mul(r25176, r25174, r25175, MPFR_RNDN);
        mpfr_set_d(r25177, U_, MPFR_RNDN);
        mpfr_sub(r25178, r25157, r25177, MPFR_RNDN);
        mpfr_mul(r25179, r25176, r25178, MPFR_RNDN);
        mpfr_sub(r25180, r25172, r25179, MPFR_RNDN);
        mpfr_mul(r25181, r25159, r25175, MPFR_RNDN);
        mpfr_mul(r25182, r25181, r25157, MPFR_RNDN);
        mpfr_mul(r25183, r25180, r25182, MPFR_RNDN);
        mpfr_sqrt(r25184, r25183, MPFR_RNDN);
        ;
        mpfr_set_si(r25186, mpfr_cmp(r25166, r25185) <= 0, MPFR_RNDN);
        mpfr_cbrt(r25187, r25173, MPFR_RNDN);
        mpfr_pow(r25188, r25187, r25159, MPFR_RNDN);
        mpfr_div(r25189, r25162, r25175, MPFR_RNDN);
        mpfr_div(r25190, r25160, r25189, MPFR_RNDN);
        mpfr_mul(r25191, r25190, r25187, MPFR_RNDN);
        mpfr_mul(r25192, r25188, r25191, MPFR_RNDN);
        mpfr_mul(r25193, r25192, r25178, MPFR_RNDN);
        mpfr_sub(r25194, r25172, r25193, MPFR_RNDN);
        mpfr_mul(r25195, r25194, r25157, MPFR_RNDN);
        mpfr_mul(r25196, r25181, r25195, MPFR_RNDN);
        mpfr_sqrt(r25197, r25196, MPFR_RNDN);
        ;
        mpfr_set_si(r25199, mpfr_cmp(r25166, r25198) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r25201, mpfr_cmp(r25166, r25200) <= 0, MPFR_RNDN);
        mpfr_set_si(r25202, !mpfr_get_si(r25201, MPFR_RNDN), MPFR_RNDN);
        mpfr_set_si(r25203, mpfr_get_si(r25199, MPFR_RNDN) || mpfr_get_si(r25202, MPFR_RNDN), MPFR_RNDN);
        mpfr_mul(r25204, r25157, r25180, MPFR_RNDN);
        mpfr_sqrt(r25205, r25204, MPFR_RNDN);
        mpfr_sqrt(r25206, r25181, MPFR_RNDN);
        mpfr_mul(r25207, r25205, r25206, MPFR_RNDN);
        if (mpfr_get_si(r25203, MPFR_RNDN)) { mpfr_set(r25208, r25184, MPFR_RNDN); } else { mpfr_set(r25208, r25207, MPFR_RNDN); };
        if (mpfr_get_si(r25186, MPFR_RNDN)) { mpfr_set(r25209, r25197, MPFR_RNDN); } else { mpfr_set(r25209, r25208, MPFR_RNDN); };
        if (mpfr_get_si(r25168, MPFR_RNDN)) { mpfr_set(r25210, r25184, MPFR_RNDN); } else { mpfr_set(r25210, r25209, MPFR_RNDN); };
        return mpfr_get_d(r25210, MPFR_RNDN);
}

