#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 r21591 = 1;
        float r21592 = Om;
        float r21593 = Omc;
        float r21594 = r21592 / r21593;
        float r21595 = 2;
        float r21596 = pow(r21594, r21595);
        float r21597 = r21591 - r21596;
        float r21598 = t;
        float r21599 = l;
        float r21600 = r21598 / r21599;
        float r21601 = pow(r21600, r21595);
        float r21602 = r21595 * r21601;
        float r21603 = r21591 + r21602;
        float r21604 = r21597 / r21603;
        float r21605 = sqrt(r21604);
        float r21606 = asin(r21605);
        return r21606;
}

double f_id(double t, double l, double Om, double Omc) {
        double r21607 = 1;
        double r21608 = Om;
        double r21609 = Omc;
        double r21610 = r21608 / r21609;
        double r21611 = 2;
        double r21612 = pow(r21610, r21611);
        double r21613 = r21607 - r21612;
        double r21614 = t;
        double r21615 = l;
        double r21616 = r21614 / r21615;
        double r21617 = pow(r21616, r21611);
        double r21618 = r21611 * r21617;
        double r21619 = r21607 + r21618;
        double r21620 = r21613 / r21619;
        double r21621 = sqrt(r21620);
        double r21622 = asin(r21621);
        return r21622;
}


double f_of(float t, float l, float Om, float Omc) {
        float r21623 = 1;
        float r21624 = Om;
        float r21625 = Omc;
        float r21626 = r21624 / r21625;
        float r21627 = 2;
        float r21628 = pow(r21626, r21627);
        float r21629 = r21623 - r21628;
        float r21630 = sqrt(r21629);
        float r21631 = t;
        float r21632 = l;
        float r21633 = r21631 / r21632;
        float r21634 = pow(r21633, r21627);
        float r21635 = r21627 * r21634;
        float r21636 = r21623 + r21635;
        float r21637 = sqrt(r21636);
        float r21638 = r21630 / r21637;
        float r21639 = asin(r21638);
        return r21639;
}

double f_od(double t, double l, double Om, double Omc) {
        double r21640 = 1;
        double r21641 = Om;
        double r21642 = Omc;
        double r21643 = r21641 / r21642;
        double r21644 = 2;
        double r21645 = pow(r21643, r21644);
        double r21646 = r21640 - r21645;
        double r21647 = sqrt(r21646);
        double r21648 = t;
        double r21649 = l;
        double r21650 = r21648 / r21649;
        double r21651 = pow(r21650, r21644);
        double r21652 = r21644 * r21651;
        double r21653 = r21640 + r21652;
        double r21654 = sqrt(r21653);
        double r21655 = r21647 / r21654;
        double r21656 = asin(r21655);
        return r21656;
}

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 r21657, r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21657, "1", 10, MPFR_RNDN);
        mpfr_init(r21658);
        mpfr_init(r21659);
        mpfr_init(r21660);
        mpfr_init_set_str(r21661, "2", 10, MPFR_RNDN);
        mpfr_init(r21662);
        mpfr_init(r21663);
        mpfr_init(r21664);
        mpfr_init(r21665);
        mpfr_init(r21666);
        mpfr_init(r21667);
        mpfr_init(r21668);
        mpfr_init(r21669);
        mpfr_init(r21670);
        mpfr_init(r21671);
        mpfr_init(r21672);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21658, Om, MPFR_RNDN);
        mpfr_set_d(r21659, Omc, MPFR_RNDN);
        mpfr_div(r21660, r21658, r21659, MPFR_RNDN);
        ;
        mpfr_pow(r21662, r21660, r21661, MPFR_RNDN);
        mpfr_sub(r21663, r21657, r21662, MPFR_RNDN);
        mpfr_set_d(r21664, t, MPFR_RNDN);
        mpfr_set_d(r21665, l, MPFR_RNDN);
        mpfr_div(r21666, r21664, r21665, MPFR_RNDN);
        mpfr_pow(r21667, r21666, r21661, MPFR_RNDN);
        mpfr_mul(r21668, r21661, r21667, MPFR_RNDN);
        mpfr_add(r21669, r21657, r21668, MPFR_RNDN);
        mpfr_div(r21670, r21663, r21669, MPFR_RNDN);
        mpfr_sqrt(r21671, r21670, MPFR_RNDN);
        mpfr_asin(r21672, r21671, MPFR_RNDN);
        return mpfr_get_d(r21672, MPFR_RNDN);
}

static mpfr_t r21673, r21674, r21675, r21676, r21677, r21678, r21679, r21680, r21681, r21682, r21683, r21684, r21685, r21686, r21687, r21688, r21689;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21673, "1", 10, MPFR_RNDN);
        mpfr_init(r21674);
        mpfr_init(r21675);
        mpfr_init(r21676);
        mpfr_init_set_str(r21677, "2", 10, MPFR_RNDN);
        mpfr_init(r21678);
        mpfr_init(r21679);
        mpfr_init(r21680);
        mpfr_init(r21681);
        mpfr_init(r21682);
        mpfr_init(r21683);
        mpfr_init(r21684);
        mpfr_init(r21685);
        mpfr_init(r21686);
        mpfr_init(r21687);
        mpfr_init(r21688);
        mpfr_init(r21689);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21674, Om, MPFR_RNDN);
        mpfr_set_d(r21675, Omc, MPFR_RNDN);
        mpfr_div(r21676, r21674, r21675, MPFR_RNDN);
        ;
        mpfr_pow(r21678, r21676, r21677, MPFR_RNDN);
        mpfr_sub(r21679, r21673, r21678, MPFR_RNDN);
        mpfr_sqrt(r21680, r21679, MPFR_RNDN);
        mpfr_set_d(r21681, t, MPFR_RNDN);
        mpfr_set_d(r21682, l, MPFR_RNDN);
        mpfr_div(r21683, r21681, r21682, MPFR_RNDN);
        mpfr_pow(r21684, r21683, r21677, MPFR_RNDN);
        mpfr_mul(r21685, r21677, r21684, MPFR_RNDN);
        mpfr_add(r21686, r21673, r21685, MPFR_RNDN);
        mpfr_sqrt(r21687, r21686, MPFR_RNDN);
        mpfr_div(r21688, r21680, r21687, MPFR_RNDN);
        mpfr_asin(r21689, r21688, MPFR_RNDN);
        return mpfr_get_d(r21689, MPFR_RNDN);
}

static mpfr_t r21690, r21691, r21692, r21693, r21694, r21695, r21696, r21697, r21698, r21699, r21700, r21701, r21702, r21703, r21704, r21705, r21706;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21690, "1", 10, MPFR_RNDN);
        mpfr_init(r21691);
        mpfr_init(r21692);
        mpfr_init(r21693);
        mpfr_init_set_str(r21694, "2", 10, MPFR_RNDN);
        mpfr_init(r21695);
        mpfr_init(r21696);
        mpfr_init(r21697);
        mpfr_init(r21698);
        mpfr_init(r21699);
        mpfr_init(r21700);
        mpfr_init(r21701);
        mpfr_init(r21702);
        mpfr_init(r21703);
        mpfr_init(r21704);
        mpfr_init(r21705);
        mpfr_init(r21706);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r21691, Om, MPFR_RNDN);
        mpfr_set_d(r21692, Omc, MPFR_RNDN);
        mpfr_div(r21693, r21691, r21692, MPFR_RNDN);
        ;
        mpfr_pow(r21695, r21693, r21694, MPFR_RNDN);
        mpfr_sub(r21696, r21690, r21695, MPFR_RNDN);
        mpfr_sqrt(r21697, r21696, MPFR_RNDN);
        mpfr_set_d(r21698, t, MPFR_RNDN);
        mpfr_set_d(r21699, l, MPFR_RNDN);
        mpfr_div(r21700, r21698, r21699, MPFR_RNDN);
        mpfr_pow(r21701, r21700, r21694, MPFR_RNDN);
        mpfr_mul(r21702, r21694, r21701, MPFR_RNDN);
        mpfr_add(r21703, r21690, r21702, MPFR_RNDN);
        mpfr_sqrt(r21704, r21703, MPFR_RNDN);
        mpfr_div(r21705, r21697, r21704, MPFR_RNDN);
        mpfr_asin(r21706, r21705, MPFR_RNDN);
        return mpfr_get_d(r21706, MPFR_RNDN);
}