#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 r24918 = 2;
        float r24919 = n;
        float r24920 = r24918 * r24919;
        float r24921 = U;
        float r24922 = r24920 * r24921;
        float r24923 = t;
        float r24924 = l;
        float r24925 = r24924 * r24924;
        float r24926 = Om;
        float r24927 = r24925 / r24926;
        float r24928 = r24918 * r24927;
        float r24929 = r24923 - r24928;
        float r24930 = r24924 / r24926;
        float r24931 = pow(r24930, r24918);
        float r24932 = r24919 * r24931;
        float r24933 = U_;
        float r24934 = r24921 - r24933;
        float r24935 = r24932 * r24934;
        float r24936 = r24929 - r24935;
        float r24937 = r24922 * r24936;
        float r24938 = sqrt(r24937);
        return r24938;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24939 = 2;
        double r24940 = n;
        double r24941 = r24939 * r24940;
        double r24942 = U;
        double r24943 = r24941 * r24942;
        double r24944 = t;
        double r24945 = l;
        double r24946 = r24945 * r24945;
        double r24947 = Om;
        double r24948 = r24946 / r24947;
        double r24949 = r24939 * r24948;
        double r24950 = r24944 - r24949;
        double r24951 = r24945 / r24947;
        double r24952 = pow(r24951, r24939);
        double r24953 = r24940 * r24952;
        double r24954 = U_;
        double r24955 = r24942 - r24954;
        double r24956 = r24953 * r24955;
        double r24957 = r24950 - r24956;
        double r24958 = r24943 * r24957;
        double r24959 = sqrt(r24958);
        return r24959;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24960 = 2;
        float r24961 = n;
        float r24962 = r24960 * r24961;
        float r24963 = U;
        float r24964 = r24962 * r24963;
        float r24965 = sqrt(r24964);
        float r24966 = t;
        float r24967 = l;
        float r24968 = r24967 * r24967;
        float r24969 = Om;
        float r24970 = r24968 / r24969;
        float r24971 = r24960 * r24970;
        float r24972 = r24966 - r24971;
        float r24973 = r24967 / r24969;
        float r24974 = pow(r24973, r24960);
        float r24975 = r24961 * r24974;
        float r24976 = U_;
        float r24977 = r24963 - r24976;
        float r24978 = r24975 * r24977;
        float r24979 = r24972 - r24978;
        float r24980 = sqrt(r24979);
        float r24981 = r24965 * r24980;
        float r24982 = 3.6638900877597965e-289;
        bool r24983 = r24981 <= r24982;
        float r24984 = r24963 * r24979;
        float r24985 = r24962 * r24984;
        float r24986 = sqrt(r24985);
        float r24987 = 1.5293518750065413e+277;
        bool r24988 = r24981 <= r24987;
        float r24989 = r24963 * r24961;
        float r24990 = r24989 * r24960;
        float r24991 = r24976 - r24963;
        float r24992 = r24973 * r24961;
        float r24993 = r24991 * r24992;
        float r24994 = cbrt(r24993);
        float r24995 = r24994 * r24994;
        float r24996 = r24995 * r24994;
        float r24997 = r24967 * r24960;
        float r24998 = r24997 * r24973;
        float r24999 = r24966 - r24998;
        float r25000 = fma(r24973, r24996, r24999);
        float r25001 = r24990 * r25000;
        float r25002 = 0;
        float r25003 = r25002 * r24961;
        float r25004 = r24963 * r24960;
        float r25005 = r25003 * r25004;
        float r25006 = r25001 + r25005;
        float r25007 = sqrt(r25006);
        float r25008 = r24988 ? r24981 : r25007;
        float r25009 = r24983 ? r24986 : r25008;
        return r25009;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r25010 = 2;
        double r25011 = n;
        double r25012 = r25010 * r25011;
        double r25013 = U;
        double r25014 = r25012 * r25013;
        double r25015 = sqrt(r25014);
        double r25016 = t;
        double r25017 = l;
        double r25018 = r25017 * r25017;
        double r25019 = Om;
        double r25020 = r25018 / r25019;
        double r25021 = r25010 * r25020;
        double r25022 = r25016 - r25021;
        double r25023 = r25017 / r25019;
        double r25024 = pow(r25023, r25010);
        double r25025 = r25011 * r25024;
        double r25026 = U_;
        double r25027 = r25013 - r25026;
        double r25028 = r25025 * r25027;
        double r25029 = r25022 - r25028;
        double r25030 = sqrt(r25029);
        double r25031 = r25015 * r25030;
        double r25032 = 3.6638900877597965e-289;
        bool r25033 = r25031 <= r25032;
        double r25034 = r25013 * r25029;
        double r25035 = r25012 * r25034;
        double r25036 = sqrt(r25035);
        double r25037 = 1.5293518750065413e+277;
        bool r25038 = r25031 <= r25037;
        double r25039 = r25013 * r25011;
        double r25040 = r25039 * r25010;
        double r25041 = r25026 - r25013;
        double r25042 = r25023 * r25011;
        double r25043 = r25041 * r25042;
        double r25044 = cbrt(r25043);
        double r25045 = r25044 * r25044;
        double r25046 = r25045 * r25044;
        double r25047 = r25017 * r25010;
        double r25048 = r25047 * r25023;
        double r25049 = r25016 - r25048;
        double r25050 = fma(r25023, r25046, r25049);
        double r25051 = r25040 * r25050;
        double r25052 = 0;
        double r25053 = r25052 * r25011;
        double r25054 = r25013 * r25010;
        double r25055 = r25053 * r25054;
        double r25056 = r25051 + r25055;
        double r25057 = sqrt(r25056);
        double r25058 = r25038 ? r25031 : r25057;
        double r25059 = r25033 ? r25036 : r25058;
        return r25059;
}

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 r25060, r25061, r25062, r25063, r25064, r25065, r25066, r25067, r25068, r25069, r25070, r25071, r25072, r25073, r25074, r25075, r25076, r25077, r25078, r25079, r25080;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25060, "2", 10, MPFR_RNDN);
        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(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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25061, n, MPFR_RNDN);
        mpfr_mul(r25062, r25060, r25061, MPFR_RNDN);
        mpfr_set_d(r25063, U, MPFR_RNDN);
        mpfr_mul(r25064, r25062, r25063, MPFR_RNDN);
        mpfr_set_d(r25065, t, MPFR_RNDN);
        mpfr_set_d(r25066, l, MPFR_RNDN);
        mpfr_mul(r25067, r25066, r25066, MPFR_RNDN);
        mpfr_set_d(r25068, Om, MPFR_RNDN);
        mpfr_div(r25069, r25067, r25068, MPFR_RNDN);
        mpfr_mul(r25070, r25060, r25069, MPFR_RNDN);
        mpfr_sub(r25071, r25065, r25070, MPFR_RNDN);
        mpfr_div(r25072, r25066, r25068, MPFR_RNDN);
        mpfr_pow(r25073, r25072, r25060, MPFR_RNDN);
        mpfr_mul(r25074, r25061, r25073, MPFR_RNDN);
        mpfr_set_d(r25075, U_, MPFR_RNDN);
        mpfr_sub(r25076, r25063, r25075, MPFR_RNDN);
        mpfr_mul(r25077, r25074, r25076, MPFR_RNDN);
        mpfr_sub(r25078, r25071, r25077, MPFR_RNDN);
        mpfr_mul(r25079, r25064, r25078, MPFR_RNDN);
        mpfr_sqrt(r25080, r25079, MPFR_RNDN);
        return mpfr_get_d(r25080, MPFR_RNDN);
}

static mpfr_t 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, r25128, r25129, r25130;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25081, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r25095);
        mpfr_init(r25096);
        mpfr_init(r25097);
        mpfr_init(r25098);
        mpfr_init(r25099);
        mpfr_init(r25100);
        mpfr_init(r25101);
        mpfr_init(r25102);
        mpfr_init_set_str(r25103, "3.6638900877597965e-289", 10, MPFR_RNDN);
        mpfr_init(r25104);
        mpfr_init(r25105);
        mpfr_init(r25106);
        mpfr_init(r25107);
        mpfr_init_set_str(r25108, "1.5293518750065413e+277", 10, MPFR_RNDN);
        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(r25120);
        mpfr_init(r25121);
        mpfr_init(r25122);
        mpfr_init_set_str(r25123, "0", 10, MPFR_RNDN);
        mpfr_init(r25124);
        mpfr_init(r25125);
        mpfr_init(r25126);
        mpfr_init(r25127);
        mpfr_init(r25128);
        mpfr_init(r25129);
        mpfr_init(r25130);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25082, n, MPFR_RNDN);
        mpfr_mul(r25083, r25081, r25082, MPFR_RNDN);
        mpfr_set_d(r25084, U, MPFR_RNDN);
        mpfr_mul(r25085, r25083, r25084, MPFR_RNDN);
        mpfr_sqrt(r25086, 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, r25081, r25091, MPFR_RNDN);
        mpfr_sub(r25093, r25087, r25092, MPFR_RNDN);
        mpfr_div(r25094, r25088, r25090, MPFR_RNDN);
        mpfr_pow(r25095, r25094, r25081, MPFR_RNDN);
        mpfr_mul(r25096, r25082, r25095, MPFR_RNDN);
        mpfr_set_d(r25097, U_, MPFR_RNDN);
        mpfr_sub(r25098, r25084, r25097, MPFR_RNDN);
        mpfr_mul(r25099, r25096, r25098, MPFR_RNDN);
        mpfr_sub(r25100, r25093, r25099, MPFR_RNDN);
        mpfr_sqrt(r25101, r25100, MPFR_RNDN);
        mpfr_mul(r25102, r25086, r25101, MPFR_RNDN);
        ;
        mpfr_set_si(r25104, mpfr_cmp(r25102, r25103) <= 0, MPFR_RNDN);
        mpfr_mul(r25105, r25084, r25100, MPFR_RNDN);
        mpfr_mul(r25106, r25083, r25105, MPFR_RNDN);
        mpfr_sqrt(r25107, r25106, MPFR_RNDN);
        ;
        mpfr_set_si(r25109, mpfr_cmp(r25102, r25108) <= 0, MPFR_RNDN);
        mpfr_mul(r25110, r25084, r25082, MPFR_RNDN);
        mpfr_mul(r25111, r25110, r25081, MPFR_RNDN);
        mpfr_sub(r25112, r25097, r25084, MPFR_RNDN);
        mpfr_mul(r25113, r25094, r25082, MPFR_RNDN);
        mpfr_mul(r25114, r25112, r25113, MPFR_RNDN);
        mpfr_cbrt(r25115, r25114, MPFR_RNDN);
        mpfr_mul(r25116, r25115, r25115, MPFR_RNDN);
        mpfr_mul(r25117, r25116, r25115, MPFR_RNDN);
        mpfr_mul(r25118, r25088, r25081, MPFR_RNDN);
        mpfr_mul(r25119, r25118, r25094, MPFR_RNDN);
        mpfr_sub(r25120, r25087, r25119, MPFR_RNDN);
        mpfr_fma(r25121, r25094, r25117, r25120, MPFR_RNDN);
        mpfr_mul(r25122, r25111, r25121, MPFR_RNDN);
        ;
        mpfr_mul(r25124, r25123, r25082, MPFR_RNDN);
        mpfr_mul(r25125, r25084, r25081, MPFR_RNDN);
        mpfr_mul(r25126, r25124, r25125, MPFR_RNDN);
        mpfr_add(r25127, r25122, r25126, MPFR_RNDN);
        mpfr_sqrt(r25128, r25127, MPFR_RNDN);
        if (mpfr_get_si(r25109, MPFR_RNDN)) { mpfr_set(r25129, r25102, MPFR_RNDN); } else { mpfr_set(r25129, r25128, MPFR_RNDN); };
        if (mpfr_get_si(r25104, MPFR_RNDN)) { mpfr_set(r25130, r25107, MPFR_RNDN); } else { mpfr_set(r25130, r25129, MPFR_RNDN); };
        return mpfr_get_d(r25130, MPFR_RNDN);
}

static mpfr_t 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, r25157, r25158, r25159, r25160, r25161, r25162, r25163, r25164, r25165, r25166, r25167, r25168, r25169, r25170, r25171, r25172, r25173, r25174, r25175, r25176, r25177, r25178, r25179, r25180;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25131, "2", 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(r25144);
        mpfr_init(r25145);
        mpfr_init(r25146);
        mpfr_init(r25147);
        mpfr_init(r25148);
        mpfr_init(r25149);
        mpfr_init(r25150);
        mpfr_init(r25151);
        mpfr_init(r25152);
        mpfr_init_set_str(r25153, "3.6638900877597965e-289", 10, MPFR_RNDN);
        mpfr_init(r25154);
        mpfr_init(r25155);
        mpfr_init(r25156);
        mpfr_init(r25157);
        mpfr_init_set_str(r25158, "1.5293518750065413e+277", 10, MPFR_RNDN);
        mpfr_init(r25159);
        mpfr_init(r25160);
        mpfr_init(r25161);
        mpfr_init(r25162);
        mpfr_init(r25163);
        mpfr_init(r25164);
        mpfr_init(r25165);
        mpfr_init(r25166);
        mpfr_init(r25167);
        mpfr_init(r25168);
        mpfr_init(r25169);
        mpfr_init(r25170);
        mpfr_init(r25171);
        mpfr_init(r25172);
        mpfr_init_set_str(r25173, "0", 10, MPFR_RNDN);
        mpfr_init(r25174);
        mpfr_init(r25175);
        mpfr_init(r25176);
        mpfr_init(r25177);
        mpfr_init(r25178);
        mpfr_init(r25179);
        mpfr_init(r25180);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25132, n, MPFR_RNDN);
        mpfr_mul(r25133, r25131, r25132, MPFR_RNDN);
        mpfr_set_d(r25134, U, MPFR_RNDN);
        mpfr_mul(r25135, r25133, r25134, MPFR_RNDN);
        mpfr_sqrt(r25136, r25135, MPFR_RNDN);
        mpfr_set_d(r25137, t, MPFR_RNDN);
        mpfr_set_d(r25138, l, MPFR_RNDN);
        mpfr_mul(r25139, r25138, r25138, MPFR_RNDN);
        mpfr_set_d(r25140, Om, MPFR_RNDN);
        mpfr_div(r25141, r25139, r25140, MPFR_RNDN);
        mpfr_mul(r25142, r25131, r25141, MPFR_RNDN);
        mpfr_sub(r25143, r25137, r25142, MPFR_RNDN);
        mpfr_div(r25144, r25138, r25140, MPFR_RNDN);
        mpfr_pow(r25145, r25144, r25131, MPFR_RNDN);
        mpfr_mul(r25146, r25132, r25145, MPFR_RNDN);
        mpfr_set_d(r25147, U_, MPFR_RNDN);
        mpfr_sub(r25148, r25134, r25147, MPFR_RNDN);
        mpfr_mul(r25149, r25146, r25148, MPFR_RNDN);
        mpfr_sub(r25150, r25143, r25149, MPFR_RNDN);
        mpfr_sqrt(r25151, r25150, MPFR_RNDN);
        mpfr_mul(r25152, r25136, r25151, MPFR_RNDN);
        ;
        mpfr_set_si(r25154, mpfr_cmp(r25152, r25153) <= 0, MPFR_RNDN);
        mpfr_mul(r25155, r25134, r25150, MPFR_RNDN);
        mpfr_mul(r25156, r25133, r25155, MPFR_RNDN);
        mpfr_sqrt(r25157, r25156, MPFR_RNDN);
        ;
        mpfr_set_si(r25159, mpfr_cmp(r25152, r25158) <= 0, MPFR_RNDN);
        mpfr_mul(r25160, r25134, r25132, MPFR_RNDN);
        mpfr_mul(r25161, r25160, r25131, MPFR_RNDN);
        mpfr_sub(r25162, r25147, r25134, MPFR_RNDN);
        mpfr_mul(r25163, r25144, r25132, MPFR_RNDN);
        mpfr_mul(r25164, r25162, r25163, MPFR_RNDN);
        mpfr_cbrt(r25165, r25164, MPFR_RNDN);
        mpfr_mul(r25166, r25165, r25165, MPFR_RNDN);
        mpfr_mul(r25167, r25166, r25165, MPFR_RNDN);
        mpfr_mul(r25168, r25138, r25131, MPFR_RNDN);
        mpfr_mul(r25169, r25168, r25144, MPFR_RNDN);
        mpfr_sub(r25170, r25137, r25169, MPFR_RNDN);
        mpfr_fma(r25171, r25144, r25167, r25170, MPFR_RNDN);
        mpfr_mul(r25172, r25161, r25171, MPFR_RNDN);
        ;
        mpfr_mul(r25174, r25173, r25132, MPFR_RNDN);
        mpfr_mul(r25175, r25134, r25131, MPFR_RNDN);
        mpfr_mul(r25176, r25174, r25175, MPFR_RNDN);
        mpfr_add(r25177, r25172, r25176, MPFR_RNDN);
        mpfr_sqrt(r25178, r25177, MPFR_RNDN);
        if (mpfr_get_si(r25159, MPFR_RNDN)) { mpfr_set(r25179, r25152, MPFR_RNDN); } else { mpfr_set(r25179, r25178, MPFR_RNDN); };
        if (mpfr_get_si(r25154, MPFR_RNDN)) { mpfr_set(r25180, r25157, MPFR_RNDN); } else { mpfr_set(r25180, r25179, MPFR_RNDN); };
        return mpfr_get_d(r25180, MPFR_RNDN);
}