#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 r20978 = 1.0f;
        float r20979 = Om;
        float r20980 = Omc;
        float r20981 = r20979 / r20980;
        float r20982 = r20981 * r20981;
        float r20983 = r20978 - r20982;
        float r20984 = 2.0f;
        float r20985 = t;
        float r20986 = l;
        float r20987 = r20985 / r20986;
        float r20988 = r20987 * r20987;
        float r20989 = r20984 * r20988;
        float r20990 = r20978 + r20989;
        float r20991 = r20983 / r20990;
        float r20992 = sqrt(r20991);
        float r20993 = asin(r20992);
        return r20993;
}

double f_id(double t, double l, double Om, double Omc) {
        double r20994 = 1.0;
        double r20995 = Om;
        double r20996 = Omc;
        double r20997 = r20995 / r20996;
        double r20998 = r20997 * r20997;
        double r20999 = r20994 - r20998;
        double r21000 = 2.0;
        double r21001 = t;
        double r21002 = l;
        double r21003 = r21001 / r21002;
        double r21004 = r21003 * r21003;
        double r21005 = r21000 * r21004;
        double r21006 = r20994 + r21005;
        double r21007 = r20999 / r21006;
        double r21008 = sqrt(r21007);
        double r21009 = asin(r21008);
        return r21009;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21010 = 1.0f;
        float r21011 = Om;
        float r21012 = Omc;
        float r21013 = r21011 / r21012;
        float r21014 = r21013 * r21013;
        float r21015 = r21010 - r21014;
        float r21016 = 2.0f;
        float r21017 = t;
        float r21018 = l;
        float r21019 = r21017 / r21018;
        float r21020 = r21019 * r21019;
        float r21021 = r21016 * r21020;
        float r21022 = r21010 + r21021;
        float r21023 = r21015 / r21022;
        float r21024 = 0.0f;
        bool r21025 = r21023 <= r21024;
        float r21026 = sqrt(r21015);
        float r21027 = sqrt(r21016);
        float r21028 = r21017 * r21027;
        float r21029 = r21028 / r21018;
        float r21030 = r21026 / r21029;
        float r21031 = asin(r21030);
        float r21032 = sqrt(r21023);
        float r21033 = asin(r21032);
        float r21034 = r21025 ? r21031 : r21033;
        return r21034;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21035 = 1.0;
        double r21036 = Om;
        double r21037 = Omc;
        double r21038 = r21036 / r21037;
        double r21039 = r21038 * r21038;
        double r21040 = r21035 - r21039;
        double r21041 = 2.0;
        double r21042 = t;
        double r21043 = l;
        double r21044 = r21042 / r21043;
        double r21045 = r21044 * r21044;
        double r21046 = r21041 * r21045;
        double r21047 = r21035 + r21046;
        double r21048 = r21040 / r21047;
        double r21049 = 0.0;
        bool r21050 = r21048 <= r21049;
        double r21051 = sqrt(r21040);
        double r21052 = sqrt(r21041);
        double r21053 = r21042 * r21052;
        double r21054 = r21053 / r21043;
        double r21055 = r21051 / r21054;
        double r21056 = asin(r21055);
        double r21057 = sqrt(r21048);
        double r21058 = asin(r21057);
        double r21059 = r21050 ? r21056 : r21058;
        return r21059;
}

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 r21060, r21061, r21062, r21063, r21064, r21065, r21066, r21067, r21068, r21069, r21070, r21071, r21072, r21073, r21074, r21075;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r21060, "1", 10, MPFR_RNDN);
        mpfr_init(r21061);
        mpfr_init(r21062);
        mpfr_init(r21063);
        mpfr_init(r21064);
        mpfr_init(r21065);
        mpfr_init_set_str(r21066, "2", 10, MPFR_RNDN);
        mpfr_init(r21067);
        mpfr_init(r21068);
        mpfr_init(r21069);
        mpfr_init(r21070);
        mpfr_init(r21071);
        mpfr_init(r21072);
        mpfr_init(r21073);
        mpfr_init(r21074);
        mpfr_init(r21075);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21061, Om, MPFR_RNDN);
        mpfr_set_d(r21062, Omc, MPFR_RNDN);
        mpfr_div(r21063, r21061, r21062, MPFR_RNDN);
        mpfr_sqr(r21064, r21063, MPFR_RNDN);
        mpfr_sub(r21065, r21060, r21064, MPFR_RNDN);
        ;
        mpfr_set_d(r21067, t, MPFR_RNDN);
        mpfr_set_d(r21068, l, MPFR_RNDN);
        mpfr_div(r21069, r21067, r21068, MPFR_RNDN);
        mpfr_sqr(r21070, r21069, MPFR_RNDN);
        mpfr_mul(r21071, r21066, r21070, MPFR_RNDN);
        mpfr_add(r21072, r21060, r21071, MPFR_RNDN);
        mpfr_div(r21073, r21065, r21072, MPFR_RNDN);
        mpfr_sqrt(r21074, r21073, MPFR_RNDN);
        mpfr_asin(r21075, r21074, MPFR_RNDN);
        return mpfr_get_d(r21075, MPFR_RNDN);
}

static mpfr_t r21076, r21077, r21078, r21079, r21080, r21081, r21082, r21083, r21084, r21085, r21086, r21087, r21088, r21089, r21090, r21091, r21092, r21093, r21094, r21095, r21096, r21097, r21098, r21099, r21100;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r21076, "1", 10, MPFR_RNDN);
        mpfr_init(r21077);
        mpfr_init(r21078);
        mpfr_init(r21079);
        mpfr_init(r21080);
        mpfr_init(r21081);
        mpfr_init_set_str(r21082, "2", 10, MPFR_RNDN);
        mpfr_init(r21083);
        mpfr_init(r21084);
        mpfr_init(r21085);
        mpfr_init(r21086);
        mpfr_init(r21087);
        mpfr_init(r21088);
        mpfr_init(r21089);
        mpfr_init_set_str(r21090, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21091);
        mpfr_init(r21092);
        mpfr_init(r21093);
        mpfr_init(r21094);
        mpfr_init(r21095);
        mpfr_init(r21096);
        mpfr_init(r21097);
        mpfr_init(r21098);
        mpfr_init(r21099);
        mpfr_init(r21100);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21077, Om, MPFR_RNDN);
        mpfr_set_d(r21078, Omc, MPFR_RNDN);
        mpfr_div(r21079, r21077, r21078, MPFR_RNDN);
        mpfr_sqr(r21080, r21079, MPFR_RNDN);
        mpfr_sub(r21081, r21076, r21080, MPFR_RNDN);
        ;
        mpfr_set_d(r21083, t, MPFR_RNDN);
        mpfr_set_d(r21084, l, MPFR_RNDN);
        mpfr_div(r21085, r21083, r21084, MPFR_RNDN);
        mpfr_sqr(r21086, r21085, MPFR_RNDN);
        mpfr_mul(r21087, r21082, r21086, MPFR_RNDN);
        mpfr_add(r21088, r21076, r21087, MPFR_RNDN);
        mpfr_div(r21089, r21081, r21088, MPFR_RNDN);
        ;
        mpfr_set_si(r21091, mpfr_cmp(r21089, r21090) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21092, r21081, MPFR_RNDN);
        mpfr_sqrt(r21093, r21082, MPFR_RNDN);
        mpfr_mul(r21094, r21083, r21093, MPFR_RNDN);
        mpfr_div(r21095, r21094, r21084, MPFR_RNDN);
        mpfr_div(r21096, r21092, r21095, MPFR_RNDN);
        mpfr_asin(r21097, r21096, MPFR_RNDN);
        mpfr_sqrt(r21098, r21089, MPFR_RNDN);
        mpfr_asin(r21099, r21098, MPFR_RNDN);
        if (mpfr_get_si(r21091, MPFR_RNDN)) { mpfr_set(r21100, r21097, MPFR_RNDN); } else { mpfr_set(r21100, r21099, MPFR_RNDN); };
        return mpfr_get_d(r21100, MPFR_RNDN);
}

static mpfr_t r21101, r21102, r21103, r21104, r21105, r21106, r21107, r21108, r21109, r21110, r21111, r21112, r21113, r21114, r21115, r21116, r21117, r21118, r21119, r21120, r21121, r21122, r21123, r21124, r21125;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r21101, "1", 10, MPFR_RNDN);
        mpfr_init(r21102);
        mpfr_init(r21103);
        mpfr_init(r21104);
        mpfr_init(r21105);
        mpfr_init(r21106);
        mpfr_init_set_str(r21107, "2", 10, MPFR_RNDN);
        mpfr_init(r21108);
        mpfr_init(r21109);
        mpfr_init(r21110);
        mpfr_init(r21111);
        mpfr_init(r21112);
        mpfr_init(r21113);
        mpfr_init(r21114);
        mpfr_init_set_str(r21115, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21116);
        mpfr_init(r21117);
        mpfr_init(r21118);
        mpfr_init(r21119);
        mpfr_init(r21120);
        mpfr_init(r21121);
        mpfr_init(r21122);
        mpfr_init(r21123);
        mpfr_init(r21124);
        mpfr_init(r21125);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21102, Om, MPFR_RNDN);
        mpfr_set_d(r21103, Omc, MPFR_RNDN);
        mpfr_div(r21104, r21102, r21103, MPFR_RNDN);
        mpfr_sqr(r21105, r21104, MPFR_RNDN);
        mpfr_sub(r21106, r21101, r21105, MPFR_RNDN);
        ;
        mpfr_set_d(r21108, t, MPFR_RNDN);
        mpfr_set_d(r21109, l, MPFR_RNDN);
        mpfr_div(r21110, r21108, r21109, MPFR_RNDN);
        mpfr_sqr(r21111, r21110, MPFR_RNDN);
        mpfr_mul(r21112, r21107, r21111, MPFR_RNDN);
        mpfr_add(r21113, r21101, r21112, MPFR_RNDN);
        mpfr_div(r21114, r21106, r21113, MPFR_RNDN);
        ;
        mpfr_set_si(r21116, mpfr_cmp(r21114, r21115) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21117, r21106, MPFR_RNDN);
        mpfr_sqrt(r21118, r21107, MPFR_RNDN);
        mpfr_mul(r21119, r21108, r21118, MPFR_RNDN);
        mpfr_div(r21120, r21119, r21109, MPFR_RNDN);
        mpfr_div(r21121, r21117, r21120, MPFR_RNDN);
        mpfr_asin(r21122, r21121, MPFR_RNDN);
        mpfr_sqrt(r21123, r21114, MPFR_RNDN);
        mpfr_asin(r21124, r21123, MPFR_RNDN);
        if (mpfr_get_si(r21116, MPFR_RNDN)) { mpfr_set(r21125, r21122, MPFR_RNDN); } else { mpfr_set(r21125, r21124, MPFR_RNDN); };
        return mpfr_get_d(r21125, MPFR_RNDN);
}