#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (2)";

double f_if(float t, float l, float Om, float Omc) {
        float r21957 = 1;
        float r21958 = Om;
        float r21959 = Omc;
        float r21960 = r21958 / r21959;
        float r21961 = 2;
        float r21962 = pow(r21960, r21961);
        float r21963 = r21957 - r21962;
        float r21964 = t;
        float r21965 = l;
        float r21966 = r21964 / r21965;
        float r21967 = pow(r21966, r21961);
        float r21968 = r21961 * r21967;
        float r21969 = r21957 + r21968;
        float r21970 = r21963 / r21969;
        float r21971 = sqrt(r21970);
        float r21972 = asin(r21971);
        return r21972;
}

double f_id(double t, double l, double Om, double Omc) {
        double r21973 = 1;
        double r21974 = Om;
        double r21975 = Omc;
        double r21976 = r21974 / r21975;
        double r21977 = 2;
        double r21978 = pow(r21976, r21977);
        double r21979 = r21973 - r21978;
        double r21980 = t;
        double r21981 = l;
        double r21982 = r21980 / r21981;
        double r21983 = pow(r21982, r21977);
        double r21984 = r21977 * r21983;
        double r21985 = r21973 + r21984;
        double r21986 = r21979 / r21985;
        double r21987 = sqrt(r21986);
        double r21988 = asin(r21987);
        return r21988;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21989 = 1;
        float r21990 = Om;
        float r21991 = Omc;
        float r21992 = r21990 / r21991;
        float r21993 = 2;
        float r21994 = pow(r21992, r21993);
        float r21995 = r21989 - r21994;
        float r21996 = t;
        float r21997 = l;
        float r21998 = r21996 / r21997;
        float r21999 = pow(r21998, r21993);
        float r22000 = r21993 * r21999;
        float r22001 = r21989 + r22000;
        float r22002 = r21995 / r22001;
        float r22003 = sqrt(r22002);
        float r22004 = asin(r22003);
        return r22004;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22005 = 1;
        double r22006 = Om;
        double r22007 = Omc;
        double r22008 = r22006 / r22007;
        double r22009 = 2;
        double r22010 = pow(r22008, r22009);
        double r22011 = r22005 - r22010;
        double r22012 = t;
        double r22013 = l;
        double r22014 = r22012 / r22013;
        double r22015 = pow(r22014, r22009);
        double r22016 = r22009 * r22015;
        double r22017 = r22005 + r22016;
        double r22018 = r22011 / r22017;
        double r22019 = sqrt(r22018);
        double r22020 = asin(r22019);
        return r22020;
}

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 r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22021, "1", 10, MPFR_RNDN);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init(r22024);
        mpfr_init_set_str(r22025, "2", 10, MPFR_RNDN);
        mpfr_init(r22026);
        mpfr_init(r22027);
        mpfr_init(r22028);
        mpfr_init(r22029);
        mpfr_init(r22030);
        mpfr_init(r22031);
        mpfr_init(r22032);
        mpfr_init(r22033);
        mpfr_init(r22034);
        mpfr_init(r22035);
        mpfr_init(r22036);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22022, Om, MPFR_RNDN);
        mpfr_set_d(r22023, Omc, MPFR_RNDN);
        mpfr_div(r22024, r22022, r22023, MPFR_RNDN);
        ;
        mpfr_pow(r22026, r22024, r22025, MPFR_RNDN);
        mpfr_sub(r22027, r22021, r22026, MPFR_RNDN);
        mpfr_set_d(r22028, t, MPFR_RNDN);
        mpfr_set_d(r22029, l, MPFR_RNDN);
        mpfr_div(r22030, r22028, r22029, MPFR_RNDN);
        mpfr_pow(r22031, r22030, r22025, MPFR_RNDN);
        mpfr_mul(r22032, r22025, r22031, MPFR_RNDN);
        mpfr_add(r22033, r22021, r22032, MPFR_RNDN);
        mpfr_div(r22034, r22027, r22033, MPFR_RNDN);
        mpfr_sqrt(r22035, r22034, MPFR_RNDN);
        mpfr_asin(r22036, r22035, MPFR_RNDN);
        return mpfr_get_d(r22036, MPFR_RNDN);
}

static mpfr_t r22037, r22038, r22039, r22040, r22041, r22042, r22043, r22044, r22045, r22046, r22047, r22048, r22049, r22050, r22051, r22052;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22037, "1", 10, MPFR_RNDN);
        mpfr_init(r22038);
        mpfr_init(r22039);
        mpfr_init(r22040);
        mpfr_init_set_str(r22041, "2", 10, MPFR_RNDN);
        mpfr_init(r22042);
        mpfr_init(r22043);
        mpfr_init(r22044);
        mpfr_init(r22045);
        mpfr_init(r22046);
        mpfr_init(r22047);
        mpfr_init(r22048);
        mpfr_init(r22049);
        mpfr_init(r22050);
        mpfr_init(r22051);
        mpfr_init(r22052);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22038, Om, MPFR_RNDN);
        mpfr_set_d(r22039, Omc, MPFR_RNDN);
        mpfr_div(r22040, r22038, r22039, MPFR_RNDN);
        ;
        mpfr_pow(r22042, r22040, r22041, MPFR_RNDN);
        mpfr_sub(r22043, r22037, r22042, MPFR_RNDN);
        mpfr_set_d(r22044, t, MPFR_RNDN);
        mpfr_set_d(r22045, l, MPFR_RNDN);
        mpfr_div(r22046, r22044, r22045, MPFR_RNDN);
        mpfr_pow(r22047, r22046, r22041, MPFR_RNDN);
        mpfr_mul(r22048, r22041, r22047, MPFR_RNDN);
        mpfr_add(r22049, r22037, r22048, MPFR_RNDN);
        mpfr_div(r22050, r22043, r22049, MPFR_RNDN);
        mpfr_sqrt(r22051, r22050, MPFR_RNDN);
        mpfr_asin(r22052, r22051, MPFR_RNDN);
        return mpfr_get_d(r22052, MPFR_RNDN);
}

static mpfr_t r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065, r22066, r22067, r22068;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22053, "1", 10, MPFR_RNDN);
        mpfr_init(r22054);
        mpfr_init(r22055);
        mpfr_init(r22056);
        mpfr_init_set_str(r22057, "2", 10, MPFR_RNDN);
        mpfr_init(r22058);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init(r22061);
        mpfr_init(r22062);
        mpfr_init(r22063);
        mpfr_init(r22064);
        mpfr_init(r22065);
        mpfr_init(r22066);
        mpfr_init(r22067);
        mpfr_init(r22068);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22054, Om, MPFR_RNDN);
        mpfr_set_d(r22055, Omc, MPFR_RNDN);
        mpfr_div(r22056, r22054, r22055, MPFR_RNDN);
        ;
        mpfr_pow(r22058, r22056, r22057, MPFR_RNDN);
        mpfr_sub(r22059, r22053, r22058, MPFR_RNDN);
        mpfr_set_d(r22060, t, MPFR_RNDN);
        mpfr_set_d(r22061, l, MPFR_RNDN);
        mpfr_div(r22062, r22060, r22061, MPFR_RNDN);
        mpfr_pow(r22063, r22062, r22057, MPFR_RNDN);
        mpfr_mul(r22064, r22057, r22063, MPFR_RNDN);
        mpfr_add(r22065, r22053, r22064, MPFR_RNDN);
        mpfr_div(r22066, r22059, r22065, MPFR_RNDN);
        mpfr_sqrt(r22067, r22066, MPFR_RNDN);
        mpfr_asin(r22068, r22067, MPFR_RNDN);
        return mpfr_get_d(r22068, MPFR_RNDN);
}

