#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 r21163 = 1;
        float r21164 = Om;
        float r21165 = Omc;
        float r21166 = r21164 / r21165;
        float r21167 = 2;
        float r21168 = pow(r21166, r21167);
        float r21169 = r21163 - r21168;
        float r21170 = t;
        float r21171 = l;
        float r21172 = r21170 / r21171;
        float r21173 = pow(r21172, r21167);
        float r21174 = r21167 * r21173;
        float r21175 = r21163 + r21174;
        float r21176 = r21169 / r21175;
        float r21177 = sqrt(r21176);
        float r21178 = asin(r21177);
        return r21178;
}

double f_id(double t, double l, double Om, double Omc) {
        double r21179 = 1;
        double r21180 = Om;
        double r21181 = Omc;
        double r21182 = r21180 / r21181;
        double r21183 = 2;
        double r21184 = pow(r21182, r21183);
        double r21185 = r21179 - r21184;
        double r21186 = t;
        double r21187 = l;
        double r21188 = r21186 / r21187;
        double r21189 = pow(r21188, r21183);
        double r21190 = r21183 * r21189;
        double r21191 = r21179 + r21190;
        double r21192 = r21185 / r21191;
        double r21193 = sqrt(r21192);
        double r21194 = asin(r21193);
        return r21194;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21195 = 1;
        float r21196 = Om;
        float r21197 = Omc;
        float r21198 = r21196 / r21197;
        float r21199 = 2;
        float r21200 = pow(r21198, r21199);
        float r21201 = r21195 - r21200;
        float r21202 = t;
        float r21203 = l;
        float r21204 = r21202 / r21203;
        float r21205 = pow(r21204, r21199);
        float r21206 = r21199 * r21205;
        float r21207 = r21195 + r21206;
        float r21208 = r21201 / r21207;
        float r21209 = sqrt(r21208);
        float r21210 = asin(r21209);
        float r21211 = log1p(r21210);
        float r21212 = expm1(r21211);
        return r21212;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21213 = 1;
        double r21214 = Om;
        double r21215 = Omc;
        double r21216 = r21214 / r21215;
        double r21217 = 2;
        double r21218 = pow(r21216, r21217);
        double r21219 = r21213 - r21218;
        double r21220 = t;
        double r21221 = l;
        double r21222 = r21220 / r21221;
        double r21223 = pow(r21222, r21217);
        double r21224 = r21217 * r21223;
        double r21225 = r21213 + r21224;
        double r21226 = r21219 / r21225;
        double r21227 = sqrt(r21226);
        double r21228 = asin(r21227);
        double r21229 = log1p(r21228);
        double r21230 = expm1(r21229);
        return r21230;
}

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 r21231, r21232, r21233, r21234, r21235, r21236, r21237, r21238, r21239, r21240, r21241, r21242, r21243, r21244, r21245, r21246;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21231, "1", 10, MPFR_RNDN);
        mpfr_init(r21232);
        mpfr_init(r21233);
        mpfr_init(r21234);
        mpfr_init_set_str(r21235, "2", 10, MPFR_RNDN);
        mpfr_init(r21236);
        mpfr_init(r21237);
        mpfr_init(r21238);
        mpfr_init(r21239);
        mpfr_init(r21240);
        mpfr_init(r21241);
        mpfr_init(r21242);
        mpfr_init(r21243);
        mpfr_init(r21244);
        mpfr_init(r21245);
        mpfr_init(r21246);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21232, Om, MPFR_RNDN);
        mpfr_set_d(r21233, Omc, MPFR_RNDN);
        mpfr_div(r21234, r21232, r21233, MPFR_RNDN);
        ;
        mpfr_pow(r21236, r21234, r21235, MPFR_RNDN);
        mpfr_sub(r21237, r21231, r21236, MPFR_RNDN);
        mpfr_set_d(r21238, t, MPFR_RNDN);
        mpfr_set_d(r21239, l, MPFR_RNDN);
        mpfr_div(r21240, r21238, r21239, MPFR_RNDN);
        mpfr_pow(r21241, r21240, r21235, MPFR_RNDN);
        mpfr_mul(r21242, r21235, r21241, MPFR_RNDN);
        mpfr_add(r21243, r21231, r21242, MPFR_RNDN);
        mpfr_div(r21244, r21237, r21243, MPFR_RNDN);
        mpfr_sqrt(r21245, r21244, MPFR_RNDN);
        mpfr_asin(r21246, r21245, MPFR_RNDN);
        return mpfr_get_d(r21246, MPFR_RNDN);
}

static mpfr_t r21247, r21248, r21249, r21250, r21251, r21252, r21253, r21254, r21255, r21256, r21257, r21258, r21259, r21260, r21261, r21262, r21263, r21264;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21247, "1", 10, MPFR_RNDN);
        mpfr_init(r21248);
        mpfr_init(r21249);
        mpfr_init(r21250);
        mpfr_init_set_str(r21251, "2", 10, MPFR_RNDN);
        mpfr_init(r21252);
        mpfr_init(r21253);
        mpfr_init(r21254);
        mpfr_init(r21255);
        mpfr_init(r21256);
        mpfr_init(r21257);
        mpfr_init(r21258);
        mpfr_init(r21259);
        mpfr_init(r21260);
        mpfr_init(r21261);
        mpfr_init(r21262);
        mpfr_init(r21263);
        mpfr_init(r21264);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21248, Om, MPFR_RNDN);
        mpfr_set_d(r21249, Omc, MPFR_RNDN);
        mpfr_div(r21250, r21248, r21249, MPFR_RNDN);
        ;
        mpfr_pow(r21252, r21250, r21251, MPFR_RNDN);
        mpfr_sub(r21253, r21247, r21252, MPFR_RNDN);
        mpfr_set_d(r21254, t, MPFR_RNDN);
        mpfr_set_d(r21255, l, MPFR_RNDN);
        mpfr_div(r21256, r21254, r21255, MPFR_RNDN);
        mpfr_pow(r21257, r21256, r21251, MPFR_RNDN);
        mpfr_mul(r21258, r21251, r21257, MPFR_RNDN);
        mpfr_add(r21259, r21247, r21258, MPFR_RNDN);
        mpfr_div(r21260, r21253, r21259, MPFR_RNDN);
        mpfr_sqrt(r21261, r21260, MPFR_RNDN);
        mpfr_asin(r21262, r21261, MPFR_RNDN);
        mpfr_log1p(r21263, r21262, MPFR_RNDN);
        mpfr_expm1(r21264, r21263, MPFR_RNDN);
        return mpfr_get_d(r21264, MPFR_RNDN);
}

static mpfr_t r21265, r21266, r21267, r21268, r21269, r21270, r21271, r21272, r21273, r21274, r21275, r21276, r21277, r21278, r21279, r21280, r21281, r21282;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21265, "1", 10, MPFR_RNDN);
        mpfr_init(r21266);
        mpfr_init(r21267);
        mpfr_init(r21268);
        mpfr_init_set_str(r21269, "2", 10, MPFR_RNDN);
        mpfr_init(r21270);
        mpfr_init(r21271);
        mpfr_init(r21272);
        mpfr_init(r21273);
        mpfr_init(r21274);
        mpfr_init(r21275);
        mpfr_init(r21276);
        mpfr_init(r21277);
        mpfr_init(r21278);
        mpfr_init(r21279);
        mpfr_init(r21280);
        mpfr_init(r21281);
        mpfr_init(r21282);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21266, Om, MPFR_RNDN);
        mpfr_set_d(r21267, Omc, MPFR_RNDN);
        mpfr_div(r21268, r21266, r21267, MPFR_RNDN);
        ;
        mpfr_pow(r21270, r21268, r21269, MPFR_RNDN);
        mpfr_sub(r21271, r21265, r21270, MPFR_RNDN);
        mpfr_set_d(r21272, t, MPFR_RNDN);
        mpfr_set_d(r21273, l, MPFR_RNDN);
        mpfr_div(r21274, r21272, r21273, MPFR_RNDN);
        mpfr_pow(r21275, r21274, r21269, MPFR_RNDN);
        mpfr_mul(r21276, r21269, r21275, MPFR_RNDN);
        mpfr_add(r21277, r21265, r21276, MPFR_RNDN);
        mpfr_div(r21278, r21271, r21277, MPFR_RNDN);
        mpfr_sqrt(r21279, r21278, MPFR_RNDN);
        mpfr_asin(r21280, r21279, MPFR_RNDN);
        mpfr_log1p(r21281, r21280, MPFR_RNDN);
        mpfr_expm1(r21282, r21281, MPFR_RNDN);
        return mpfr_get_d(r21282, MPFR_RNDN);
}

