#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 r22374 = 1;
        float r22375 = Om;
        float r22376 = Omc;
        float r22377 = r22375 / r22376;
        float r22378 = 2;
        float r22379 = pow(r22377, r22378);
        float r22380 = r22374 - r22379;
        float r22381 = t;
        float r22382 = l;
        float r22383 = r22381 / r22382;
        float r22384 = pow(r22383, r22378);
        float r22385 = r22378 * r22384;
        float r22386 = r22374 + r22385;
        float r22387 = r22380 / r22386;
        float r22388 = sqrt(r22387);
        float r22389 = asin(r22388);
        return r22389;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22390 = 1;
        double r22391 = Om;
        double r22392 = Omc;
        double r22393 = r22391 / r22392;
        double r22394 = 2;
        double r22395 = pow(r22393, r22394);
        double r22396 = r22390 - r22395;
        double r22397 = t;
        double r22398 = l;
        double r22399 = r22397 / r22398;
        double r22400 = pow(r22399, r22394);
        double r22401 = r22394 * r22400;
        double r22402 = r22390 + r22401;
        double r22403 = r22396 / r22402;
        double r22404 = sqrt(r22403);
        double r22405 = asin(r22404);
        return r22405;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22406 = 1;
        float r22407 = Om;
        float r22408 = Omc;
        float r22409 = r22407 / r22408;
        float r22410 = 2;
        float r22411 = pow(r22409, r22410);
        float r22412 = r22406 - r22411;
        float r22413 = sqrt(r22412);
        float r22414 = t;
        float r22415 = l;
        float r22416 = r22414 / r22415;
        float r22417 = pow(r22416, r22410);
        float r22418 = r22410 * r22417;
        float r22419 = r22406 + r22418;
        float r22420 = sqrt(r22419);
        float r22421 = r22413 / r22420;
        float r22422 = asin(r22421);
        return r22422;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22423 = 1;
        double r22424 = Om;
        double r22425 = Omc;
        double r22426 = r22424 / r22425;
        double r22427 = 2;
        double r22428 = pow(r22426, r22427);
        double r22429 = r22423 - r22428;
        double r22430 = sqrt(r22429);
        double r22431 = t;
        double r22432 = l;
        double r22433 = r22431 / r22432;
        double r22434 = pow(r22433, r22427);
        double r22435 = r22427 * r22434;
        double r22436 = r22423 + r22435;
        double r22437 = sqrt(r22436);
        double r22438 = r22430 / r22437;
        double r22439 = asin(r22438);
        return r22439;
}

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 r22440, r22441, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454, r22455;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22440, "1", 10, MPFR_RNDN);
        mpfr_init(r22441);
        mpfr_init(r22442);
        mpfr_init(r22443);
        mpfr_init_set_str(r22444, "2", 10, MPFR_RNDN);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init(r22455);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22441, Om, MPFR_RNDN);
        mpfr_set_d(r22442, Omc, MPFR_RNDN);
        mpfr_div(r22443, r22441, r22442, MPFR_RNDN);
        ;
        mpfr_pow(r22445, r22443, r22444, MPFR_RNDN);
        mpfr_sub(r22446, r22440, r22445, MPFR_RNDN);
        mpfr_set_d(r22447, t, MPFR_RNDN);
        mpfr_set_d(r22448, l, MPFR_RNDN);
        mpfr_div(r22449, r22447, r22448, MPFR_RNDN);
        mpfr_pow(r22450, r22449, r22444, MPFR_RNDN);
        mpfr_mul(r22451, r22444, r22450, MPFR_RNDN);
        mpfr_add(r22452, r22440, r22451, MPFR_RNDN);
        mpfr_div(r22453, r22446, r22452, MPFR_RNDN);
        mpfr_sqrt(r22454, r22453, MPFR_RNDN);
        mpfr_asin(r22455, r22454, MPFR_RNDN);
        return mpfr_get_d(r22455, MPFR_RNDN);
}

static mpfr_t r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469, r22470, r22471, r22472;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22456, "1", 10, MPFR_RNDN);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init(r22459);
        mpfr_init_set_str(r22460, "2", 10, MPFR_RNDN);
        mpfr_init(r22461);
        mpfr_init(r22462);
        mpfr_init(r22463);
        mpfr_init(r22464);
        mpfr_init(r22465);
        mpfr_init(r22466);
        mpfr_init(r22467);
        mpfr_init(r22468);
        mpfr_init(r22469);
        mpfr_init(r22470);
        mpfr_init(r22471);
        mpfr_init(r22472);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22457, Om, MPFR_RNDN);
        mpfr_set_d(r22458, Omc, MPFR_RNDN);
        mpfr_div(r22459, r22457, r22458, MPFR_RNDN);
        ;
        mpfr_pow(r22461, r22459, r22460, MPFR_RNDN);
        mpfr_sub(r22462, r22456, r22461, MPFR_RNDN);
        mpfr_sqrt(r22463, r22462, MPFR_RNDN);
        mpfr_set_d(r22464, t, MPFR_RNDN);
        mpfr_set_d(r22465, l, MPFR_RNDN);
        mpfr_div(r22466, r22464, r22465, MPFR_RNDN);
        mpfr_pow(r22467, r22466, r22460, MPFR_RNDN);
        mpfr_mul(r22468, r22460, r22467, MPFR_RNDN);
        mpfr_add(r22469, r22456, r22468, MPFR_RNDN);
        mpfr_sqrt(r22470, r22469, MPFR_RNDN);
        mpfr_div(r22471, r22463, r22470, MPFR_RNDN);
        mpfr_asin(r22472, r22471, MPFR_RNDN);
        return mpfr_get_d(r22472, MPFR_RNDN);
}

static mpfr_t r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22473, "1", 10, MPFR_RNDN);
        mpfr_init(r22474);
        mpfr_init(r22475);
        mpfr_init(r22476);
        mpfr_init_set_str(r22477, "2", 10, MPFR_RNDN);
        mpfr_init(r22478);
        mpfr_init(r22479);
        mpfr_init(r22480);
        mpfr_init(r22481);
        mpfr_init(r22482);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init(r22486);
        mpfr_init(r22487);
        mpfr_init(r22488);
        mpfr_init(r22489);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22474, Om, MPFR_RNDN);
        mpfr_set_d(r22475, Omc, MPFR_RNDN);
        mpfr_div(r22476, r22474, r22475, MPFR_RNDN);
        ;
        mpfr_pow(r22478, r22476, r22477, MPFR_RNDN);
        mpfr_sub(r22479, r22473, r22478, MPFR_RNDN);
        mpfr_sqrt(r22480, r22479, MPFR_RNDN);
        mpfr_set_d(r22481, t, MPFR_RNDN);
        mpfr_set_d(r22482, l, MPFR_RNDN);
        mpfr_div(r22483, r22481, r22482, MPFR_RNDN);
        mpfr_pow(r22484, r22483, r22477, MPFR_RNDN);
        mpfr_mul(r22485, r22477, r22484, MPFR_RNDN);
        mpfr_add(r22486, r22473, r22485, MPFR_RNDN);
        mpfr_sqrt(r22487, r22486, MPFR_RNDN);
        mpfr_div(r22488, r22480, r22487, MPFR_RNDN);
        mpfr_asin(r22489, r22488, MPFR_RNDN);
        return mpfr_get_d(r22489, MPFR_RNDN);
}