#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 r22207 = 1;
        float r22208 = Om;
        float r22209 = Omc;
        float r22210 = r22208 / r22209;
        float r22211 = 2;
        float r22212 = pow(r22210, r22211);
        float r22213 = r22207 - r22212;
        float r22214 = t;
        float r22215 = l;
        float r22216 = r22214 / r22215;
        float r22217 = pow(r22216, r22211);
        float r22218 = r22211 * r22217;
        float r22219 = r22207 + r22218;
        float r22220 = r22213 / r22219;
        float r22221 = sqrt(r22220);
        float r22222 = asin(r22221);
        return r22222;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22223 = 1;
        double r22224 = Om;
        double r22225 = Omc;
        double r22226 = r22224 / r22225;
        double r22227 = 2;
        double r22228 = pow(r22226, r22227);
        double r22229 = r22223 - r22228;
        double r22230 = t;
        double r22231 = l;
        double r22232 = r22230 / r22231;
        double r22233 = pow(r22232, r22227);
        double r22234 = r22227 * r22233;
        double r22235 = r22223 + r22234;
        double r22236 = r22229 / r22235;
        double r22237 = sqrt(r22236);
        double r22238 = asin(r22237);
        return r22238;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22239 = 1;
        float r22240 = Om;
        float r22241 = Omc;
        float r22242 = r22240 / r22241;
        float r22243 = 2;
        float r22244 = pow(r22242, r22243);
        float r22245 = r22239 - r22244;
        float r22246 = t;
        float r22247 = l;
        float r22248 = r22246 / r22247;
        float r22249 = pow(r22248, r22243);
        float r22250 = r22243 * r22249;
        float r22251 = r22239 + r22250;
        float r22252 = r22245 / r22251;
        float r22253 = sqrt(r22252);
        float r22254 = asin(r22253);
        float r22255 = log1p(r22254);
        float r22256 = expm1(r22255);
        return r22256;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22257 = 1;
        double r22258 = Om;
        double r22259 = Omc;
        double r22260 = r22258 / r22259;
        double r22261 = 2;
        double r22262 = pow(r22260, r22261);
        double r22263 = r22257 - r22262;
        double r22264 = t;
        double r22265 = l;
        double r22266 = r22264 / r22265;
        double r22267 = pow(r22266, r22261);
        double r22268 = r22261 * r22267;
        double r22269 = r22257 + r22268;
        double r22270 = r22263 / r22269;
        double r22271 = sqrt(r22270);
        double r22272 = asin(r22271);
        double r22273 = log1p(r22272);
        double r22274 = expm1(r22273);
        return r22274;
}

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 r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22275, "1", 10, MPFR_RNDN);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init_set_str(r22279, "2", 10, MPFR_RNDN);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init(r22287);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init(r22290);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22276, Om, MPFR_RNDN);
        mpfr_set_d(r22277, Omc, MPFR_RNDN);
        mpfr_div(r22278, r22276, r22277, MPFR_RNDN);
        ;
        mpfr_pow(r22280, r22278, r22279, MPFR_RNDN);
        mpfr_sub(r22281, r22275, r22280, MPFR_RNDN);
        mpfr_set_d(r22282, t, MPFR_RNDN);
        mpfr_set_d(r22283, l, MPFR_RNDN);
        mpfr_div(r22284, r22282, r22283, MPFR_RNDN);
        mpfr_pow(r22285, r22284, r22279, MPFR_RNDN);
        mpfr_mul(r22286, r22279, r22285, MPFR_RNDN);
        mpfr_add(r22287, r22275, r22286, MPFR_RNDN);
        mpfr_div(r22288, r22281, r22287, MPFR_RNDN);
        mpfr_sqrt(r22289, r22288, MPFR_RNDN);
        mpfr_asin(r22290, r22289, MPFR_RNDN);
        return mpfr_get_d(r22290, MPFR_RNDN);
}

static mpfr_t r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22291, "1", 10, MPFR_RNDN);
        mpfr_init(r22292);
        mpfr_init(r22293);
        mpfr_init(r22294);
        mpfr_init_set_str(r22295, "2", 10, MPFR_RNDN);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init(r22307);
        mpfr_init(r22308);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22292, Om, MPFR_RNDN);
        mpfr_set_d(r22293, Omc, MPFR_RNDN);
        mpfr_div(r22294, r22292, r22293, MPFR_RNDN);
        ;
        mpfr_pow(r22296, r22294, r22295, MPFR_RNDN);
        mpfr_sub(r22297, r22291, r22296, MPFR_RNDN);
        mpfr_set_d(r22298, t, MPFR_RNDN);
        mpfr_set_d(r22299, l, MPFR_RNDN);
        mpfr_div(r22300, r22298, r22299, MPFR_RNDN);
        mpfr_pow(r22301, r22300, r22295, MPFR_RNDN);
        mpfr_mul(r22302, r22295, r22301, MPFR_RNDN);
        mpfr_add(r22303, r22291, r22302, MPFR_RNDN);
        mpfr_div(r22304, r22297, r22303, MPFR_RNDN);
        mpfr_sqrt(r22305, r22304, MPFR_RNDN);
        mpfr_asin(r22306, r22305, MPFR_RNDN);
        mpfr_log1p(r22307, r22306, MPFR_RNDN);
        mpfr_expm1(r22308, r22307, MPFR_RNDN);
        return mpfr_get_d(r22308, MPFR_RNDN);
}

static mpfr_t r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22309, "1", 10, MPFR_RNDN);
        mpfr_init(r22310);
        mpfr_init(r22311);
        mpfr_init(r22312);
        mpfr_init_set_str(r22313, "2", 10, MPFR_RNDN);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init(r22316);
        mpfr_init(r22317);
        mpfr_init(r22318);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init(r22323);
        mpfr_init(r22324);
        mpfr_init(r22325);
        mpfr_init(r22326);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22310, Om, MPFR_RNDN);
        mpfr_set_d(r22311, Omc, MPFR_RNDN);
        mpfr_div(r22312, r22310, r22311, MPFR_RNDN);
        ;
        mpfr_pow(r22314, r22312, r22313, MPFR_RNDN);
        mpfr_sub(r22315, r22309, r22314, MPFR_RNDN);
        mpfr_set_d(r22316, t, MPFR_RNDN);
        mpfr_set_d(r22317, l, MPFR_RNDN);
        mpfr_div(r22318, r22316, r22317, MPFR_RNDN);
        mpfr_pow(r22319, r22318, r22313, MPFR_RNDN);
        mpfr_mul(r22320, r22313, r22319, MPFR_RNDN);
        mpfr_add(r22321, r22309, r22320, MPFR_RNDN);
        mpfr_div(r22322, r22315, r22321, MPFR_RNDN);
        mpfr_sqrt(r22323, r22322, MPFR_RNDN);
        mpfr_asin(r22324, r22323, MPFR_RNDN);
        mpfr_log1p(r22325, r22324, MPFR_RNDN);
        mpfr_expm1(r22326, r22325, MPFR_RNDN);
        return mpfr_get_d(r22326, MPFR_RNDN);
}