#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 r21399 = 1;
        float r21400 = Om;
        float r21401 = Omc;
        float r21402 = r21400 / r21401;
        float r21403 = 2;
        float r21404 = pow(r21402, r21403);
        float r21405 = r21399 - r21404;
        float r21406 = t;
        float r21407 = l;
        float r21408 = r21406 / r21407;
        float r21409 = pow(r21408, r21403);
        float r21410 = r21403 * r21409;
        float r21411 = r21399 + r21410;
        float r21412 = r21405 / r21411;
        float r21413 = sqrt(r21412);
        float r21414 = asin(r21413);
        return r21414;
}

double f_id(double t, double l, double Om, double Omc) {
        double r21415 = 1;
        double r21416 = Om;
        double r21417 = Omc;
        double r21418 = r21416 / r21417;
        double r21419 = 2;
        double r21420 = pow(r21418, r21419);
        double r21421 = r21415 - r21420;
        double r21422 = t;
        double r21423 = l;
        double r21424 = r21422 / r21423;
        double r21425 = pow(r21424, r21419);
        double r21426 = r21419 * r21425;
        double r21427 = r21415 + r21426;
        double r21428 = r21421 / r21427;
        double r21429 = sqrt(r21428);
        double r21430 = asin(r21429);
        return r21430;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21431 = 1;
        float r21432 = Om;
        float r21433 = Omc;
        float r21434 = r21432 / r21433;
        float r21435 = 2;
        float r21436 = pow(r21434, r21435);
        float r21437 = r21431 - r21436;
        float r21438 = t;
        float r21439 = l;
        float r21440 = r21438 / r21439;
        float r21441 = pow(r21440, r21435);
        float r21442 = r21435 * r21441;
        float r21443 = r21431 + r21442;
        float r21444 = r21437 / r21443;
        float r21445 = sqrt(r21444);
        float r21446 = asin(r21445);
        float r21447 = log1p(r21446);
        float r21448 = expm1(r21447);
        return r21448;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21449 = 1;
        double r21450 = Om;
        double r21451 = Omc;
        double r21452 = r21450 / r21451;
        double r21453 = 2;
        double r21454 = pow(r21452, r21453);
        double r21455 = r21449 - r21454;
        double r21456 = t;
        double r21457 = l;
        double r21458 = r21456 / r21457;
        double r21459 = pow(r21458, r21453);
        double r21460 = r21453 * r21459;
        double r21461 = r21449 + r21460;
        double r21462 = r21455 / r21461;
        double r21463 = sqrt(r21462);
        double r21464 = asin(r21463);
        double r21465 = log1p(r21464);
        double r21466 = expm1(r21465);
        return r21466;
}

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 r21467, r21468, r21469, r21470, r21471, r21472, r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481, r21482;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21467, "1", 10, MPFR_RNDN);
        mpfr_init(r21468);
        mpfr_init(r21469);
        mpfr_init(r21470);
        mpfr_init_set_str(r21471, "2", 10, MPFR_RNDN);
        mpfr_init(r21472);
        mpfr_init(r21473);
        mpfr_init(r21474);
        mpfr_init(r21475);
        mpfr_init(r21476);
        mpfr_init(r21477);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
        mpfr_init(r21482);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21468, Om, MPFR_RNDN);
        mpfr_set_d(r21469, Omc, MPFR_RNDN);
        mpfr_div(r21470, r21468, r21469, MPFR_RNDN);
        ;
        mpfr_pow(r21472, r21470, r21471, MPFR_RNDN);
        mpfr_sub(r21473, r21467, r21472, MPFR_RNDN);
        mpfr_set_d(r21474, t, MPFR_RNDN);
        mpfr_set_d(r21475, l, MPFR_RNDN);
        mpfr_div(r21476, r21474, r21475, MPFR_RNDN);
        mpfr_pow(r21477, r21476, r21471, MPFR_RNDN);
        mpfr_mul(r21478, r21471, r21477, MPFR_RNDN);
        mpfr_add(r21479, r21467, r21478, MPFR_RNDN);
        mpfr_div(r21480, r21473, r21479, MPFR_RNDN);
        mpfr_sqrt(r21481, r21480, MPFR_RNDN);
        mpfr_asin(r21482, r21481, MPFR_RNDN);
        return mpfr_get_d(r21482, MPFR_RNDN);
}

static mpfr_t r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21483, "1", 10, MPFR_RNDN);
        mpfr_init(r21484);
        mpfr_init(r21485);
        mpfr_init(r21486);
        mpfr_init_set_str(r21487, "2", 10, MPFR_RNDN);
        mpfr_init(r21488);
        mpfr_init(r21489);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
        mpfr_init(r21493);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
        mpfr_init(r21498);
        mpfr_init(r21499);
        mpfr_init(r21500);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21484, Om, MPFR_RNDN);
        mpfr_set_d(r21485, Omc, MPFR_RNDN);
        mpfr_div(r21486, r21484, r21485, MPFR_RNDN);
        ;
        mpfr_pow(r21488, r21486, r21487, MPFR_RNDN);
        mpfr_sub(r21489, r21483, r21488, MPFR_RNDN);
        mpfr_set_d(r21490, t, MPFR_RNDN);
        mpfr_set_d(r21491, l, MPFR_RNDN);
        mpfr_div(r21492, r21490, r21491, MPFR_RNDN);
        mpfr_pow(r21493, r21492, r21487, MPFR_RNDN);
        mpfr_mul(r21494, r21487, r21493, MPFR_RNDN);
        mpfr_add(r21495, r21483, r21494, MPFR_RNDN);
        mpfr_div(r21496, r21489, r21495, MPFR_RNDN);
        mpfr_sqrt(r21497, r21496, MPFR_RNDN);
        mpfr_asin(r21498, r21497, MPFR_RNDN);
        mpfr_log1p(r21499, r21498, MPFR_RNDN);
        mpfr_expm1(r21500, r21499, MPFR_RNDN);
        return mpfr_get_d(r21500, MPFR_RNDN);
}

static mpfr_t r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21501, "1", 10, MPFR_RNDN);
        mpfr_init(r21502);
        mpfr_init(r21503);
        mpfr_init(r21504);
        mpfr_init_set_str(r21505, "2", 10, MPFR_RNDN);
        mpfr_init(r21506);
        mpfr_init(r21507);
        mpfr_init(r21508);
        mpfr_init(r21509);
        mpfr_init(r21510);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
        mpfr_init(r21516);
        mpfr_init(r21517);
        mpfr_init(r21518);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21502, Om, MPFR_RNDN);
        mpfr_set_d(r21503, Omc, MPFR_RNDN);
        mpfr_div(r21504, r21502, r21503, MPFR_RNDN);
        ;
        mpfr_pow(r21506, r21504, r21505, MPFR_RNDN);
        mpfr_sub(r21507, r21501, r21506, MPFR_RNDN);
        mpfr_set_d(r21508, t, MPFR_RNDN);
        mpfr_set_d(r21509, l, MPFR_RNDN);
        mpfr_div(r21510, r21508, r21509, MPFR_RNDN);
        mpfr_pow(r21511, r21510, r21505, MPFR_RNDN);
        mpfr_mul(r21512, r21505, r21511, MPFR_RNDN);
        mpfr_add(r21513, r21501, r21512, MPFR_RNDN);
        mpfr_div(r21514, r21507, r21513, MPFR_RNDN);
        mpfr_sqrt(r21515, r21514, MPFR_RNDN);
        mpfr_asin(r21516, r21515, MPFR_RNDN);
        mpfr_log1p(r21517, r21516, MPFR_RNDN);
        mpfr_expm1(r21518, r21517, MPFR_RNDN);
        return mpfr_get_d(r21518, MPFR_RNDN);
}