#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 r21312 = 1;
        float r21313 = Om;
        float r21314 = Omc;
        float r21315 = r21313 / r21314;
        float r21316 = 2;
        float r21317 = pow(r21315, r21316);
        float r21318 = r21312 - r21317;
        float r21319 = t;
        float r21320 = l;
        float r21321 = r21319 / r21320;
        float r21322 = pow(r21321, r21316);
        float r21323 = r21316 * r21322;
        float r21324 = r21312 + r21323;
        float r21325 = r21318 / r21324;
        float r21326 = sqrt(r21325);
        float r21327 = asin(r21326);
        return r21327;
}

double f_id(double t, double l, double Om, double Omc) {
        double r21328 = 1;
        double r21329 = Om;
        double r21330 = Omc;
        double r21331 = r21329 / r21330;
        double r21332 = 2;
        double r21333 = pow(r21331, r21332);
        double r21334 = r21328 - r21333;
        double r21335 = t;
        double r21336 = l;
        double r21337 = r21335 / r21336;
        double r21338 = pow(r21337, r21332);
        double r21339 = r21332 * r21338;
        double r21340 = r21328 + r21339;
        double r21341 = r21334 / r21340;
        double r21342 = sqrt(r21341);
        double r21343 = asin(r21342);
        return r21343;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21344 = 1;
        float r21345 = Om;
        float r21346 = Omc;
        float r21347 = r21345 / r21346;
        float r21348 = 2;
        float r21349 = pow(r21347, r21348);
        float r21350 = r21344 - r21349;
        float r21351 = t;
        float r21352 = l;
        float r21353 = r21351 / r21352;
        float r21354 = pow(r21353, r21348);
        float r21355 = r21348 * r21354;
        float r21356 = r21344 + r21355;
        float r21357 = r21350 / r21356;
        float r21358 = sqrt(r21357);
        float r21359 = asin(r21358);
        float r21360 = log1p(r21359);
        float r21361 = expm1(r21360);
        return r21361;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21362 = 1;
        double r21363 = Om;
        double r21364 = Omc;
        double r21365 = r21363 / r21364;
        double r21366 = 2;
        double r21367 = pow(r21365, r21366);
        double r21368 = r21362 - r21367;
        double r21369 = t;
        double r21370 = l;
        double r21371 = r21369 / r21370;
        double r21372 = pow(r21371, r21366);
        double r21373 = r21366 * r21372;
        double r21374 = r21362 + r21373;
        double r21375 = r21368 / r21374;
        double r21376 = sqrt(r21375);
        double r21377 = asin(r21376);
        double r21378 = log1p(r21377);
        double r21379 = expm1(r21378);
        return r21379;
}

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 r21380, r21381, r21382, r21383, r21384, r21385, r21386, r21387, r21388, r21389, r21390, r21391, r21392, r21393, r21394, r21395;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21380, "1", 10, MPFR_RNDN);
        mpfr_init(r21381);
        mpfr_init(r21382);
        mpfr_init(r21383);
        mpfr_init_set_str(r21384, "2", 10, MPFR_RNDN);
        mpfr_init(r21385);
        mpfr_init(r21386);
        mpfr_init(r21387);
        mpfr_init(r21388);
        mpfr_init(r21389);
        mpfr_init(r21390);
        mpfr_init(r21391);
        mpfr_init(r21392);
        mpfr_init(r21393);
        mpfr_init(r21394);
        mpfr_init(r21395);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21381, Om, MPFR_RNDN);
        mpfr_set_d(r21382, Omc, MPFR_RNDN);
        mpfr_div(r21383, r21381, r21382, MPFR_RNDN);
        ;
        mpfr_pow(r21385, r21383, r21384, MPFR_RNDN);
        mpfr_sub(r21386, r21380, r21385, MPFR_RNDN);
        mpfr_set_d(r21387, t, MPFR_RNDN);
        mpfr_set_d(r21388, l, MPFR_RNDN);
        mpfr_div(r21389, r21387, r21388, MPFR_RNDN);
        mpfr_pow(r21390, r21389, r21384, MPFR_RNDN);
        mpfr_mul(r21391, r21384, r21390, MPFR_RNDN);
        mpfr_add(r21392, r21380, r21391, MPFR_RNDN);
        mpfr_div(r21393, r21386, r21392, MPFR_RNDN);
        mpfr_sqrt(r21394, r21393, MPFR_RNDN);
        mpfr_asin(r21395, r21394, MPFR_RNDN);
        return mpfr_get_d(r21395, MPFR_RNDN);
}

static mpfr_t r21396, r21397, r21398, r21399, r21400, r21401, r21402, r21403, r21404, r21405, r21406, r21407, r21408, r21409, r21410, r21411, r21412, r21413;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21396, "1", 10, MPFR_RNDN);
        mpfr_init(r21397);
        mpfr_init(r21398);
        mpfr_init(r21399);
        mpfr_init_set_str(r21400, "2", 10, MPFR_RNDN);
        mpfr_init(r21401);
        mpfr_init(r21402);
        mpfr_init(r21403);
        mpfr_init(r21404);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init(r21409);
        mpfr_init(r21410);
        mpfr_init(r21411);
        mpfr_init(r21412);
        mpfr_init(r21413);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21397, Om, MPFR_RNDN);
        mpfr_set_d(r21398, Omc, MPFR_RNDN);
        mpfr_div(r21399, r21397, r21398, MPFR_RNDN);
        ;
        mpfr_pow(r21401, r21399, r21400, MPFR_RNDN);
        mpfr_sub(r21402, r21396, r21401, MPFR_RNDN);
        mpfr_set_d(r21403, t, MPFR_RNDN);
        mpfr_set_d(r21404, l, MPFR_RNDN);
        mpfr_div(r21405, r21403, r21404, MPFR_RNDN);
        mpfr_pow(r21406, r21405, r21400, MPFR_RNDN);
        mpfr_mul(r21407, r21400, r21406, MPFR_RNDN);
        mpfr_add(r21408, r21396, r21407, MPFR_RNDN);
        mpfr_div(r21409, r21402, r21408, MPFR_RNDN);
        mpfr_sqrt(r21410, r21409, MPFR_RNDN);
        mpfr_asin(r21411, r21410, MPFR_RNDN);
        mpfr_log1p(r21412, r21411, MPFR_RNDN);
        mpfr_expm1(r21413, r21412, MPFR_RNDN);
        return mpfr_get_d(r21413, MPFR_RNDN);
}

static mpfr_t r21414, r21415, r21416, r21417, r21418, r21419, r21420, r21421, r21422, r21423, r21424, r21425, r21426, r21427, r21428, r21429, r21430, r21431;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21414, "1", 10, MPFR_RNDN);
        mpfr_init(r21415);
        mpfr_init(r21416);
        mpfr_init(r21417);
        mpfr_init_set_str(r21418, "2", 10, MPFR_RNDN);
        mpfr_init(r21419);
        mpfr_init(r21420);
        mpfr_init(r21421);
        mpfr_init(r21422);
        mpfr_init(r21423);
        mpfr_init(r21424);
        mpfr_init(r21425);
        mpfr_init(r21426);
        mpfr_init(r21427);
        mpfr_init(r21428);
        mpfr_init(r21429);
        mpfr_init(r21430);
        mpfr_init(r21431);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21415, Om, MPFR_RNDN);
        mpfr_set_d(r21416, Omc, MPFR_RNDN);
        mpfr_div(r21417, r21415, r21416, MPFR_RNDN);
        ;
        mpfr_pow(r21419, r21417, r21418, MPFR_RNDN);
        mpfr_sub(r21420, r21414, r21419, MPFR_RNDN);
        mpfr_set_d(r21421, t, MPFR_RNDN);
        mpfr_set_d(r21422, l, MPFR_RNDN);
        mpfr_div(r21423, r21421, r21422, MPFR_RNDN);
        mpfr_pow(r21424, r21423, r21418, MPFR_RNDN);
        mpfr_mul(r21425, r21418, r21424, MPFR_RNDN);
        mpfr_add(r21426, r21414, r21425, MPFR_RNDN);
        mpfr_div(r21427, r21420, r21426, MPFR_RNDN);
        mpfr_sqrt(r21428, r21427, MPFR_RNDN);
        mpfr_asin(r21429, r21428, MPFR_RNDN);
        mpfr_log1p(r21430, r21429, MPFR_RNDN);
        mpfr_expm1(r21431, r21430, MPFR_RNDN);
        return mpfr_get_d(r21431, MPFR_RNDN);
}