#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 r21912 = 1;
        float r21913 = Om;
        float r21914 = Omc;
        float r21915 = r21913 / r21914;
        float r21916 = 2;
        float r21917 = pow(r21915, r21916);
        float r21918 = r21912 - r21917;
        float r21919 = t;
        float r21920 = l;
        float r21921 = r21919 / r21920;
        float r21922 = pow(r21921, r21916);
        float r21923 = r21916 * r21922;
        float r21924 = r21912 + r21923;
        float r21925 = r21918 / r21924;
        float r21926 = sqrt(r21925);
        float r21927 = asin(r21926);
        return r21927;
}

double f_id(double t, double l, double Om, double Omc) {
        double r21928 = 1;
        double r21929 = Om;
        double r21930 = Omc;
        double r21931 = r21929 / r21930;
        double r21932 = 2;
        double r21933 = pow(r21931, r21932);
        double r21934 = r21928 - r21933;
        double r21935 = t;
        double r21936 = l;
        double r21937 = r21935 / r21936;
        double r21938 = pow(r21937, r21932);
        double r21939 = r21932 * r21938;
        double r21940 = r21928 + r21939;
        double r21941 = r21934 / r21940;
        double r21942 = sqrt(r21941);
        double r21943 = asin(r21942);
        return r21943;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21944 = 1;
        float r21945 = Om;
        float r21946 = Omc;
        float r21947 = r21945 / r21946;
        float r21948 = 2;
        float r21949 = pow(r21947, r21948);
        float r21950 = r21944 - r21949;
        float r21951 = t;
        float r21952 = l;
        float r21953 = r21951 / r21952;
        float r21954 = pow(r21953, r21948);
        float r21955 = r21948 * r21954;
        float r21956 = r21944 + r21955;
        float r21957 = r21950 / r21956;
        float r21958 = sqrt(r21957);
        float r21959 = asin(r21958);
        float r21960 = log1p(r21959);
        float r21961 = expm1(r21960);
        return r21961;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21962 = 1;
        double r21963 = Om;
        double r21964 = Omc;
        double r21965 = r21963 / r21964;
        double r21966 = 2;
        double r21967 = pow(r21965, r21966);
        double r21968 = r21962 - r21967;
        double r21969 = t;
        double r21970 = l;
        double r21971 = r21969 / r21970;
        double r21972 = pow(r21971, r21966);
        double r21973 = r21966 * r21972;
        double r21974 = r21962 + r21973;
        double r21975 = r21968 / r21974;
        double r21976 = sqrt(r21975);
        double r21977 = asin(r21976);
        double r21978 = log1p(r21977);
        double r21979 = expm1(r21978);
        return r21979;
}

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 r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21980, "1", 10, MPFR_RNDN);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init_set_str(r21984, "2", 10, MPFR_RNDN);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init(r21991);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init(r21995);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21981, Om, MPFR_RNDN);
        mpfr_set_d(r21982, Omc, MPFR_RNDN);
        mpfr_div(r21983, r21981, r21982, MPFR_RNDN);
        ;
        mpfr_pow(r21985, r21983, r21984, MPFR_RNDN);
        mpfr_sub(r21986, r21980, r21985, MPFR_RNDN);
        mpfr_set_d(r21987, t, MPFR_RNDN);
        mpfr_set_d(r21988, l, MPFR_RNDN);
        mpfr_div(r21989, r21987, r21988, MPFR_RNDN);
        mpfr_pow(r21990, r21989, r21984, MPFR_RNDN);
        mpfr_mul(r21991, r21984, r21990, MPFR_RNDN);
        mpfr_add(r21992, r21980, r21991, MPFR_RNDN);
        mpfr_div(r21993, r21986, r21992, MPFR_RNDN);
        mpfr_sqrt(r21994, r21993, MPFR_RNDN);
        mpfr_asin(r21995, r21994, MPFR_RNDN);
        return mpfr_get_d(r21995, MPFR_RNDN);
}

static mpfr_t r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011, r22012, r22013;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21996, "1", 10, MPFR_RNDN);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init_set_str(r22000, "2", 10, MPFR_RNDN);
        mpfr_init(r22001);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init(r22008);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init(r22012);
        mpfr_init(r22013);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21997, Om, MPFR_RNDN);
        mpfr_set_d(r21998, Omc, MPFR_RNDN);
        mpfr_div(r21999, r21997, r21998, MPFR_RNDN);
        ;
        mpfr_pow(r22001, r21999, r22000, MPFR_RNDN);
        mpfr_sub(r22002, r21996, r22001, MPFR_RNDN);
        mpfr_set_d(r22003, t, MPFR_RNDN);
        mpfr_set_d(r22004, l, MPFR_RNDN);
        mpfr_div(r22005, r22003, r22004, MPFR_RNDN);
        mpfr_pow(r22006, r22005, r22000, MPFR_RNDN);
        mpfr_mul(r22007, r22000, r22006, MPFR_RNDN);
        mpfr_add(r22008, r21996, r22007, MPFR_RNDN);
        mpfr_div(r22009, r22002, r22008, MPFR_RNDN);
        mpfr_sqrt(r22010, r22009, MPFR_RNDN);
        mpfr_asin(r22011, r22010, MPFR_RNDN);
        mpfr_log1p(r22012, r22011, MPFR_RNDN);
        mpfr_expm1(r22013, r22012, MPFR_RNDN);
        return mpfr_get_d(r22013, MPFR_RNDN);
}

static mpfr_t r22014, r22015, r22016, r22017, r22018, r22019, r22020, r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029, r22030, r22031;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22014, "1", 10, MPFR_RNDN);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
        mpfr_init_set_str(r22018, "2", 10, MPFR_RNDN);
        mpfr_init(r22019);
        mpfr_init(r22020);
        mpfr_init(r22021);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init(r22024);
        mpfr_init(r22025);
        mpfr_init(r22026);
        mpfr_init(r22027);
        mpfr_init(r22028);
        mpfr_init(r22029);
        mpfr_init(r22030);
        mpfr_init(r22031);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22015, Om, MPFR_RNDN);
        mpfr_set_d(r22016, Omc, MPFR_RNDN);
        mpfr_div(r22017, r22015, r22016, MPFR_RNDN);
        ;
        mpfr_pow(r22019, r22017, r22018, MPFR_RNDN);
        mpfr_sub(r22020, r22014, r22019, MPFR_RNDN);
        mpfr_set_d(r22021, t, MPFR_RNDN);
        mpfr_set_d(r22022, l, MPFR_RNDN);
        mpfr_div(r22023, r22021, r22022, MPFR_RNDN);
        mpfr_pow(r22024, r22023, r22018, MPFR_RNDN);
        mpfr_mul(r22025, r22018, r22024, MPFR_RNDN);
        mpfr_add(r22026, r22014, r22025, MPFR_RNDN);
        mpfr_div(r22027, r22020, r22026, MPFR_RNDN);
        mpfr_sqrt(r22028, r22027, MPFR_RNDN);
        mpfr_asin(r22029, r22028, MPFR_RNDN);
        mpfr_log1p(r22030, r22029, MPFR_RNDN);
        mpfr_expm1(r22031, r22030, MPFR_RNDN);
        return mpfr_get_d(r22031, MPFR_RNDN);
}