#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 r24985 = 2;
        float r24986 = n;
        float r24987 = r24985 * r24986;
        float r24988 = U;
        float r24989 = r24987 * r24988;
        float r24990 = t;
        float r24991 = l;
        float r24992 = r24991 * r24991;
        float r24993 = Om;
        float r24994 = r24992 / r24993;
        float r24995 = r24985 * r24994;
        float r24996 = r24990 - r24995;
        float r24997 = r24991 / r24993;
        float r24998 = pow(r24997, r24985);
        float r24999 = r24986 * r24998;
        float r25000 = U_;
        float r25001 = r24988 - r25000;
        float r25002 = r24999 * r25001;
        float r25003 = r24996 - r25002;
        float r25004 = r24989 * r25003;
        float r25005 = sqrt(r25004);
        return r25005;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r25006 = 2;
        double r25007 = n;
        double r25008 = r25006 * r25007;
        double r25009 = U;
        double r25010 = r25008 * r25009;
        double r25011 = t;
        double r25012 = l;
        double r25013 = r25012 * r25012;
        double r25014 = Om;
        double r25015 = r25013 / r25014;
        double r25016 = r25006 * r25015;
        double r25017 = r25011 - r25016;
        double r25018 = r25012 / r25014;
        double r25019 = pow(r25018, r25006);
        double r25020 = r25007 * r25019;
        double r25021 = U_;
        double r25022 = r25009 - r25021;
        double r25023 = r25020 * r25022;
        double r25024 = r25017 - r25023;
        double r25025 = r25010 * r25024;
        double r25026 = sqrt(r25025);
        return r25026;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r25027 = 2;
        float r25028 = n;
        float r25029 = r25027 * r25028;
        float r25030 = U;
        float r25031 = r25029 * r25030;
        float r25032 = t;
        float r25033 = l;
        float r25034 = Om;
        float r25035 = r25034 / r25033;
        float r25036 = r25033 / r25035;
        float r25037 = r25027 * r25036;
        float r25038 = r25032 - r25037;
        float r25039 = r25033 / r25034;
        float r25040 = r25028 * r25039;
        float r25041 = r25040 * r25039;
        float r25042 = U_;
        float r25043 = r25030 - r25042;
        float r25044 = r25041 * r25043;
        float r25045 = r25038 - r25044;
        float r25046 = r25031 * r25045;
        float r25047 = sqrt(r25046);
        float r25048 = 5.653601476791085e-156;
        bool r25049 = r25047 <= r25048;
        float r25050 = pow(r25039, r25027);
        float r25051 = r25028 * r25050;
        float r25052 = r25051 * r25043;
        float r25053 = r25038 - r25052;
        float r25054 = r25030 * r25053;
        float r25055 = r25029 * r25054;
        float r25056 = sqrt(r25055);
        float r25057 = 2.2349068760600396e+152;
        bool r25058 = r25047 <= r25057;
        float r25059 = sqrt(r25031);
        float r25060 = r25033 * r25033;
        float r25061 = r25060 / r25034;
        float r25062 = r25027 * r25061;
        float r25063 = r25032 - r25062;
        float r25064 = r25063 - r25052;
        float r25065 = sqrt(r25064);
        float r25066 = r25059 * r25065;
        float r25067 = r25058 ? r25047 : r25066;
        float r25068 = r25049 ? r25056 : r25067;
        return r25068;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r25069 = 2;
        double r25070 = n;
        double r25071 = r25069 * r25070;
        double r25072 = U;
        double r25073 = r25071 * r25072;
        double r25074 = t;
        double r25075 = l;
        double r25076 = Om;
        double r25077 = r25076 / r25075;
        double r25078 = r25075 / r25077;
        double r25079 = r25069 * r25078;
        double r25080 = r25074 - r25079;
        double r25081 = r25075 / r25076;
        double r25082 = r25070 * r25081;
        double r25083 = r25082 * r25081;
        double r25084 = U_;
        double r25085 = r25072 - r25084;
        double r25086 = r25083 * r25085;
        double r25087 = r25080 - r25086;
        double r25088 = r25073 * r25087;
        double r25089 = sqrt(r25088);
        double r25090 = 5.653601476791085e-156;
        bool r25091 = r25089 <= r25090;
        double r25092 = pow(r25081, r25069);
        double r25093 = r25070 * r25092;
        double r25094 = r25093 * r25085;
        double r25095 = r25080 - r25094;
        double r25096 = r25072 * r25095;
        double r25097 = r25071 * r25096;
        double r25098 = sqrt(r25097);
        double r25099 = 2.2349068760600396e+152;
        bool r25100 = r25089 <= r25099;
        double r25101 = sqrt(r25073);
        double r25102 = r25075 * r25075;
        double r25103 = r25102 / r25076;
        double r25104 = r25069 * r25103;
        double r25105 = r25074 - r25104;
        double r25106 = r25105 - r25094;
        double r25107 = sqrt(r25106);
        double r25108 = r25101 * r25107;
        double r25109 = r25100 ? r25089 : r25108;
        double r25110 = r25091 ? r25098 : r25109;
        return r25110;
}

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 r25111, r25112, r25113, r25114, r25115, r25116, r25117, r25118, r25119, r25120, r25121, r25122, r25123, r25124, r25125, r25126, r25127, r25128, r25129, r25130, r25131;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25111, "2", 10, MPFR_RNDN);
        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(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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25112, n, MPFR_RNDN);
        mpfr_mul(r25113, r25111, r25112, MPFR_RNDN);
        mpfr_set_d(r25114, U, MPFR_RNDN);
        mpfr_mul(r25115, r25113, r25114, MPFR_RNDN);
        mpfr_set_d(r25116, t, MPFR_RNDN);
        mpfr_set_d(r25117, l, MPFR_RNDN);
        mpfr_mul(r25118, r25117, r25117, MPFR_RNDN);
        mpfr_set_d(r25119, Om, MPFR_RNDN);
        mpfr_div(r25120, r25118, r25119, MPFR_RNDN);
        mpfr_mul(r25121, r25111, r25120, MPFR_RNDN);
        mpfr_sub(r25122, r25116, r25121, MPFR_RNDN);
        mpfr_div(r25123, r25117, r25119, MPFR_RNDN);
        mpfr_pow(r25124, r25123, r25111, MPFR_RNDN);
        mpfr_mul(r25125, r25112, r25124, MPFR_RNDN);
        mpfr_set_d(r25126, U_, MPFR_RNDN);
        mpfr_sub(r25127, r25114, r25126, MPFR_RNDN);
        mpfr_mul(r25128, r25125, r25127, MPFR_RNDN);
        mpfr_sub(r25129, r25122, r25128, MPFR_RNDN);
        mpfr_mul(r25130, r25115, r25129, MPFR_RNDN);
        mpfr_sqrt(r25131, r25130, MPFR_RNDN);
        return mpfr_get_d(r25131, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25132, "2", 10, MPFR_RNDN);
        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, "5.653601476791085e-156", 10, MPFR_RNDN);
        mpfr_init(r25154);
        mpfr_init(r25155);
        mpfr_init(r25156);
        mpfr_init(r25157);
        mpfr_init(r25158);
        mpfr_init(r25159);
        mpfr_init(r25160);
        mpfr_init(r25161);
        mpfr_init_set_str(r25162, "2.2349068760600396e+152", 10, MPFR_RNDN);
        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(r25173);
}

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

static mpfr_t 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, r25211, r25212, r25213, r25214, r25215;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25174, "2", 10, MPFR_RNDN);
        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(r25185);
        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_set_str(r25195, "5.653601476791085e-156", 10, MPFR_RNDN);
        mpfr_init(r25196);
        mpfr_init(r25197);
        mpfr_init(r25198);
        mpfr_init(r25199);
        mpfr_init(r25200);
        mpfr_init(r25201);
        mpfr_init(r25202);
        mpfr_init(r25203);
        mpfr_init_set_str(r25204, "2.2349068760600396e+152", 10, MPFR_RNDN);
        mpfr_init(r25205);
        mpfr_init(r25206);
        mpfr_init(r25207);
        mpfr_init(r25208);
        mpfr_init(r25209);
        mpfr_init(r25210);
        mpfr_init(r25211);
        mpfr_init(r25212);
        mpfr_init(r25213);
        mpfr_init(r25214);
        mpfr_init(r25215);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25175, n, MPFR_RNDN);
        mpfr_mul(r25176, r25174, r25175, MPFR_RNDN);
        mpfr_set_d(r25177, U, MPFR_RNDN);
        mpfr_mul(r25178, r25176, r25177, MPFR_RNDN);
        mpfr_set_d(r25179, t, MPFR_RNDN);
        mpfr_set_d(r25180, l, MPFR_RNDN);
        mpfr_set_d(r25181, Om, MPFR_RNDN);
        mpfr_div(r25182, r25181, r25180, MPFR_RNDN);
        mpfr_div(r25183, r25180, r25182, MPFR_RNDN);
        mpfr_mul(r25184, r25174, r25183, MPFR_RNDN);
        mpfr_sub(r25185, r25179, r25184, MPFR_RNDN);
        mpfr_div(r25186, r25180, r25181, MPFR_RNDN);
        mpfr_mul(r25187, r25175, r25186, MPFR_RNDN);
        mpfr_mul(r25188, r25187, r25186, MPFR_RNDN);
        mpfr_set_d(r25189, U_, MPFR_RNDN);
        mpfr_sub(r25190, r25177, r25189, MPFR_RNDN);
        mpfr_mul(r25191, r25188, r25190, MPFR_RNDN);
        mpfr_sub(r25192, r25185, r25191, MPFR_RNDN);
        mpfr_mul(r25193, r25178, r25192, MPFR_RNDN);
        mpfr_sqrt(r25194, r25193, MPFR_RNDN);
        ;
        mpfr_set_si(r25196, mpfr_cmp(r25194, r25195) <= 0, MPFR_RNDN);
        mpfr_pow(r25197, r25186, r25174, MPFR_RNDN);
        mpfr_mul(r25198, r25175, r25197, MPFR_RNDN);
        mpfr_mul(r25199, r25198, r25190, MPFR_RNDN);
        mpfr_sub(r25200, r25185, r25199, MPFR_RNDN);
        mpfr_mul(r25201, r25177, r25200, MPFR_RNDN);
        mpfr_mul(r25202, r25176, r25201, MPFR_RNDN);
        mpfr_sqrt(r25203, r25202, MPFR_RNDN);
        ;
        mpfr_set_si(r25205, mpfr_cmp(r25194, r25204) <= 0, MPFR_RNDN);
        mpfr_sqrt(r25206, r25178, MPFR_RNDN);
        mpfr_mul(r25207, r25180, r25180, MPFR_RNDN);
        mpfr_div(r25208, r25207, r25181, MPFR_RNDN);
        mpfr_mul(r25209, r25174, r25208, MPFR_RNDN);
        mpfr_sub(r25210, r25179, r25209, MPFR_RNDN);
        mpfr_sub(r25211, r25210, r25199, MPFR_RNDN);
        mpfr_sqrt(r25212, r25211, MPFR_RNDN);
        mpfr_mul(r25213, r25206, r25212, MPFR_RNDN);
        if (mpfr_get_si(r25205, MPFR_RNDN)) { mpfr_set(r25214, r25194, MPFR_RNDN); } else { mpfr_set(r25214, r25213, MPFR_RNDN); };
        if (mpfr_get_si(r25196, MPFR_RNDN)) { mpfr_set(r25215, r25203, MPFR_RNDN); } else { mpfr_set(r25215, r25214, MPFR_RNDN); };
        return mpfr_get_d(r25215, MPFR_RNDN);
}