#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 r21435 = 1;
        float r21436 = Om;
        float r21437 = Omc;
        float r21438 = r21436 / r21437;
        float r21439 = 2;
        float r21440 = pow(r21438, r21439);
        float r21441 = r21435 - r21440;
        float r21442 = t;
        float r21443 = l;
        float r21444 = r21442 / r21443;
        float r21445 = pow(r21444, r21439);
        float r21446 = r21439 * r21445;
        float r21447 = r21435 + r21446;
        float r21448 = r21441 / r21447;
        float r21449 = sqrt(r21448);
        float r21450 = asin(r21449);
        return r21450;
}

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


double f_of(float t, float l, float Om, float Omc) {
        float r21467 = 1;
        float r21468 = Om;
        float r21469 = Omc;
        float r21470 = r21468 / r21469;
        float r21471 = 2;
        float r21472 = pow(r21470, r21471);
        float r21473 = r21467 - r21472;
        float r21474 = t;
        float r21475 = l;
        float r21476 = r21474 / r21475;
        float r21477 = pow(r21476, r21471);
        float r21478 = r21471 * r21477;
        float r21479 = r21467 + r21478;
        float r21480 = r21473 / r21479;
        float r21481 = sqrt(r21480);
        float r21482 = asin(r21481);
        float r21483 = log1p(r21482);
        float r21484 = expm1(r21483);
        return r21484;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21485 = 1;
        double r21486 = Om;
        double r21487 = Omc;
        double r21488 = r21486 / r21487;
        double r21489 = 2;
        double r21490 = pow(r21488, r21489);
        double r21491 = r21485 - r21490;
        double r21492 = t;
        double r21493 = l;
        double r21494 = r21492 / r21493;
        double r21495 = pow(r21494, r21489);
        double r21496 = r21489 * r21495;
        double r21497 = r21485 + r21496;
        double r21498 = r21491 / r21497;
        double r21499 = sqrt(r21498);
        double r21500 = asin(r21499);
        double r21501 = log1p(r21500);
        double r21502 = expm1(r21501);
        return r21502;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21503, "1", 10, MPFR_RNDN);
        mpfr_init(r21504);
        mpfr_init(r21505);
        mpfr_init(r21506);
        mpfr_init_set_str(r21507, "2", 10, MPFR_RNDN);
        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_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21504, Om, MPFR_RNDN);
        mpfr_set_d(r21505, Omc, MPFR_RNDN);
        mpfr_div(r21506, r21504, r21505, MPFR_RNDN);
        ;
        mpfr_pow(r21508, r21506, r21507, MPFR_RNDN);
        mpfr_sub(r21509, r21503, r21508, MPFR_RNDN);
        mpfr_set_d(r21510, t, MPFR_RNDN);
        mpfr_set_d(r21511, l, MPFR_RNDN);
        mpfr_div(r21512, r21510, r21511, MPFR_RNDN);
        mpfr_pow(r21513, r21512, r21507, MPFR_RNDN);
        mpfr_mul(r21514, r21507, r21513, MPFR_RNDN);
        mpfr_add(r21515, r21503, r21514, MPFR_RNDN);
        mpfr_div(r21516, r21509, r21515, MPFR_RNDN);
        mpfr_sqrt(r21517, r21516, MPFR_RNDN);
        mpfr_asin(r21518, r21517, MPFR_RNDN);
        return mpfr_get_d(r21518, MPFR_RNDN);
}

static mpfr_t r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21519, "1", 10, MPFR_RNDN);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
        mpfr_init_set_str(r21523, "2", 10, MPFR_RNDN);
        mpfr_init(r21524);
        mpfr_init(r21525);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init(r21528);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init(r21532);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
        mpfr_init(r21536);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21520, Om, MPFR_RNDN);
        mpfr_set_d(r21521, Omc, MPFR_RNDN);
        mpfr_div(r21522, r21520, r21521, MPFR_RNDN);
        ;
        mpfr_pow(r21524, r21522, r21523, MPFR_RNDN);
        mpfr_sub(r21525, r21519, r21524, MPFR_RNDN);
        mpfr_set_d(r21526, t, MPFR_RNDN);
        mpfr_set_d(r21527, l, MPFR_RNDN);
        mpfr_div(r21528, r21526, r21527, MPFR_RNDN);
        mpfr_pow(r21529, r21528, r21523, MPFR_RNDN);
        mpfr_mul(r21530, r21523, r21529, MPFR_RNDN);
        mpfr_add(r21531, r21519, r21530, MPFR_RNDN);
        mpfr_div(r21532, r21525, r21531, MPFR_RNDN);
        mpfr_sqrt(r21533, r21532, MPFR_RNDN);
        mpfr_asin(r21534, r21533, MPFR_RNDN);
        mpfr_log1p(r21535, r21534, MPFR_RNDN);
        mpfr_expm1(r21536, r21535, MPFR_RNDN);
        return mpfr_get_d(r21536, MPFR_RNDN);
}

static mpfr_t r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548, r21549, r21550, r21551, r21552, r21553, r21554;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21537, "1", 10, MPFR_RNDN);
        mpfr_init(r21538);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init_set_str(r21541, "2", 10, MPFR_RNDN);
        mpfr_init(r21542);
        mpfr_init(r21543);
        mpfr_init(r21544);
        mpfr_init(r21545);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init(r21548);
        mpfr_init(r21549);
        mpfr_init(r21550);
        mpfr_init(r21551);
        mpfr_init(r21552);
        mpfr_init(r21553);
        mpfr_init(r21554);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21538, Om, MPFR_RNDN);
        mpfr_set_d(r21539, Omc, MPFR_RNDN);
        mpfr_div(r21540, r21538, r21539, MPFR_RNDN);
        ;
        mpfr_pow(r21542, r21540, r21541, MPFR_RNDN);
        mpfr_sub(r21543, r21537, r21542, MPFR_RNDN);
        mpfr_set_d(r21544, t, MPFR_RNDN);
        mpfr_set_d(r21545, l, MPFR_RNDN);
        mpfr_div(r21546, r21544, r21545, MPFR_RNDN);
        mpfr_pow(r21547, r21546, r21541, MPFR_RNDN);
        mpfr_mul(r21548, r21541, r21547, MPFR_RNDN);
        mpfr_add(r21549, r21537, r21548, MPFR_RNDN);
        mpfr_div(r21550, r21543, r21549, MPFR_RNDN);
        mpfr_sqrt(r21551, r21550, MPFR_RNDN);
        mpfr_asin(r21552, r21551, MPFR_RNDN);
        mpfr_log1p(r21553, r21552, MPFR_RNDN);
        mpfr_expm1(r21554, r21553, MPFR_RNDN);
        return mpfr_get_d(r21554, MPFR_RNDN);
}