#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 r21407 = 1;
        float r21408 = Om;
        float r21409 = Omc;
        float r21410 = r21408 / r21409;
        float r21411 = 2;
        float r21412 = pow(r21410, r21411);
        float r21413 = r21407 - r21412;
        float r21414 = t;
        float r21415 = l;
        float r21416 = r21414 / r21415;
        float r21417 = pow(r21416, r21411);
        float r21418 = r21411 * r21417;
        float r21419 = r21407 + r21418;
        float r21420 = r21413 / r21419;
        float r21421 = sqrt(r21420);
        float r21422 = asin(r21421);
        return r21422;
}

double f_id(double t, double l, double Om, double Omc) {
        double r21423 = 1;
        double r21424 = Om;
        double r21425 = Omc;
        double r21426 = r21424 / r21425;
        double r21427 = 2;
        double r21428 = pow(r21426, r21427);
        double r21429 = r21423 - r21428;
        double r21430 = t;
        double r21431 = l;
        double r21432 = r21430 / r21431;
        double r21433 = pow(r21432, r21427);
        double r21434 = r21427 * r21433;
        double r21435 = r21423 + r21434;
        double r21436 = r21429 / r21435;
        double r21437 = sqrt(r21436);
        double r21438 = asin(r21437);
        return r21438;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21439 = 1;
        float r21440 = Om;
        float r21441 = Omc;
        float r21442 = r21440 / r21441;
        float r21443 = 2;
        float r21444 = pow(r21442, r21443);
        float r21445 = r21439 - r21444;
        float r21446 = sqrt(r21445);
        float r21447 = t;
        float r21448 = l;
        float r21449 = r21447 / r21448;
        float r21450 = pow(r21449, r21443);
        float r21451 = r21443 * r21450;
        float r21452 = r21439 + r21451;
        float r21453 = sqrt(r21452);
        float r21454 = r21446 / r21453;
        float r21455 = asin(r21454);
        return r21455;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21456 = 1;
        double r21457 = Om;
        double r21458 = Omc;
        double r21459 = r21457 / r21458;
        double r21460 = 2;
        double r21461 = pow(r21459, r21460);
        double r21462 = r21456 - r21461;
        double r21463 = sqrt(r21462);
        double r21464 = t;
        double r21465 = l;
        double r21466 = r21464 / r21465;
        double r21467 = pow(r21466, r21460);
        double r21468 = r21460 * r21467;
        double r21469 = r21456 + r21468;
        double r21470 = sqrt(r21469);
        double r21471 = r21463 / r21470;
        double r21472 = asin(r21471);
        return r21472;
}

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 r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481, r21482, r21483, r21484, r21485, r21486, r21487, r21488;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21473, "1", 10, MPFR_RNDN);
        mpfr_init(r21474);
        mpfr_init(r21475);
        mpfr_init(r21476);
        mpfr_init_set_str(r21477, "2", 10, MPFR_RNDN);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
        mpfr_init(r21482);
        mpfr_init(r21483);
        mpfr_init(r21484);
        mpfr_init(r21485);
        mpfr_init(r21486);
        mpfr_init(r21487);
        mpfr_init(r21488);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21474, Om, MPFR_RNDN);
        mpfr_set_d(r21475, Omc, MPFR_RNDN);
        mpfr_div(r21476, r21474, r21475, MPFR_RNDN);
        ;
        mpfr_pow(r21478, r21476, r21477, MPFR_RNDN);
        mpfr_sub(r21479, r21473, r21478, MPFR_RNDN);
        mpfr_set_d(r21480, t, MPFR_RNDN);
        mpfr_set_d(r21481, l, MPFR_RNDN);
        mpfr_div(r21482, r21480, r21481, MPFR_RNDN);
        mpfr_pow(r21483, r21482, r21477, MPFR_RNDN);
        mpfr_mul(r21484, r21477, r21483, MPFR_RNDN);
        mpfr_add(r21485, r21473, r21484, MPFR_RNDN);
        mpfr_div(r21486, r21479, r21485, MPFR_RNDN);
        mpfr_sqrt(r21487, r21486, MPFR_RNDN);
        mpfr_asin(r21488, r21487, MPFR_RNDN);
        return mpfr_get_d(r21488, MPFR_RNDN);
}

static mpfr_t r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21489, "1", 10, MPFR_RNDN);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
        mpfr_init_set_str(r21493, "2", 10, MPFR_RNDN);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
        mpfr_init(r21498);
        mpfr_init(r21499);
        mpfr_init(r21500);
        mpfr_init(r21501);
        mpfr_init(r21502);
        mpfr_init(r21503);
        mpfr_init(r21504);
        mpfr_init(r21505);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21490, Om, MPFR_RNDN);
        mpfr_set_d(r21491, Omc, MPFR_RNDN);
        mpfr_div(r21492, r21490, r21491, MPFR_RNDN);
        ;
        mpfr_pow(r21494, r21492, r21493, MPFR_RNDN);
        mpfr_sub(r21495, r21489, r21494, MPFR_RNDN);
        mpfr_sqrt(r21496, r21495, MPFR_RNDN);
        mpfr_set_d(r21497, t, MPFR_RNDN);
        mpfr_set_d(r21498, l, MPFR_RNDN);
        mpfr_div(r21499, r21497, r21498, MPFR_RNDN);
        mpfr_pow(r21500, r21499, r21493, MPFR_RNDN);
        mpfr_mul(r21501, r21493, r21500, MPFR_RNDN);
        mpfr_add(r21502, r21489, r21501, MPFR_RNDN);
        mpfr_sqrt(r21503, r21502, MPFR_RNDN);
        mpfr_div(r21504, r21496, r21503, MPFR_RNDN);
        mpfr_asin(r21505, r21504, MPFR_RNDN);
        return mpfr_get_d(r21505, MPFR_RNDN);
}

static mpfr_t r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518, r21519, r21520, r21521, r21522;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21506, "1", 10, MPFR_RNDN);
        mpfr_init(r21507);
        mpfr_init(r21508);
        mpfr_init(r21509);
        mpfr_init_set_str(r21510, "2", 10, MPFR_RNDN);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
        mpfr_init(r21516);
        mpfr_init(r21517);
        mpfr_init(r21518);
        mpfr_init(r21519);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21507, Om, MPFR_RNDN);
        mpfr_set_d(r21508, Omc, MPFR_RNDN);
        mpfr_div(r21509, r21507, r21508, MPFR_RNDN);
        ;
        mpfr_pow(r21511, r21509, r21510, MPFR_RNDN);
        mpfr_sub(r21512, r21506, r21511, MPFR_RNDN);
        mpfr_sqrt(r21513, r21512, MPFR_RNDN);
        mpfr_set_d(r21514, t, MPFR_RNDN);
        mpfr_set_d(r21515, l, MPFR_RNDN);
        mpfr_div(r21516, r21514, r21515, MPFR_RNDN);
        mpfr_pow(r21517, r21516, r21510, MPFR_RNDN);
        mpfr_mul(r21518, r21510, r21517, MPFR_RNDN);
        mpfr_add(r21519, r21506, r21518, MPFR_RNDN);
        mpfr_sqrt(r21520, r21519, MPFR_RNDN);
        mpfr_div(r21521, r21513, r21520, MPFR_RNDN);
        mpfr_asin(r21522, r21521, MPFR_RNDN);
        return mpfr_get_d(r21522, MPFR_RNDN);
}