#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 r22546 = 1.0f;
        float r22547 = Om;
        float r22548 = Omc;
        float r22549 = r22547 / r22548;
        float r22550 = r22549 * r22549;
        float r22551 = r22546 - r22550;
        float r22552 = 2.0f;
        float r22553 = t;
        float r22554 = l;
        float r22555 = r22553 / r22554;
        float r22556 = r22555 * r22555;
        float r22557 = r22552 * r22556;
        float r22558 = r22546 + r22557;
        float r22559 = r22551 / r22558;
        float r22560 = sqrt(r22559);
        float r22561 = asin(r22560);
        return r22561;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22562 = 1.0;
        double r22563 = Om;
        double r22564 = Omc;
        double r22565 = r22563 / r22564;
        double r22566 = r22565 * r22565;
        double r22567 = r22562 - r22566;
        double r22568 = 2.0;
        double r22569 = t;
        double r22570 = l;
        double r22571 = r22569 / r22570;
        double r22572 = r22571 * r22571;
        double r22573 = r22568 * r22572;
        double r22574 = r22562 + r22573;
        double r22575 = r22567 / r22574;
        double r22576 = sqrt(r22575);
        double r22577 = asin(r22576);
        return r22577;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22578 = 1.0f;
        float r22579 = Om;
        float r22580 = Omc;
        float r22581 = r22579 / r22580;
        float r22582 = r22581 * r22581;
        float r22583 = r22578 - r22582;
        float r22584 = 2.0f;
        float r22585 = t;
        float r22586 = l;
        float r22587 = r22585 / r22586;
        float r22588 = r22587 * r22587;
        float r22589 = r22584 * r22588;
        float r22590 = r22578 + r22589;
        float r22591 = r22583 / r22590;
        float r22592 = 0.0f;
        bool r22593 = r22591 <= r22592;
        float r22594 = sqrt(r22583);
        float r22595 = sqrt(r22584);
        float r22596 = r22585 * r22595;
        float r22597 = r22596 / r22586;
        float r22598 = r22594 / r22597;
        float r22599 = asin(r22598);
        float r22600 = r22578 / r22590;
        float r22601 = sqrt(r22600);
        float r22602 = r22594 * r22601;
        float r22603 = asin(r22602);
        float r22604 = r22593 ? r22599 : r22603;
        return r22604;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22605 = 1.0;
        double r22606 = Om;
        double r22607 = Omc;
        double r22608 = r22606 / r22607;
        double r22609 = r22608 * r22608;
        double r22610 = r22605 - r22609;
        double r22611 = 2.0;
        double r22612 = t;
        double r22613 = l;
        double r22614 = r22612 / r22613;
        double r22615 = r22614 * r22614;
        double r22616 = r22611 * r22615;
        double r22617 = r22605 + r22616;
        double r22618 = r22610 / r22617;
        double r22619 = 0.0;
        bool r22620 = r22618 <= r22619;
        double r22621 = sqrt(r22610);
        double r22622 = sqrt(r22611);
        double r22623 = r22612 * r22622;
        double r22624 = r22623 / r22613;
        double r22625 = r22621 / r22624;
        double r22626 = asin(r22625);
        double r22627 = r22605 / r22617;
        double r22628 = sqrt(r22627);
        double r22629 = r22621 * r22628;
        double r22630 = asin(r22629);
        double r22631 = r22620 ? r22626 : r22630;
        return r22631;
}

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 r22632, r22633, r22634, r22635, r22636, r22637, r22638, r22639, r22640, r22641, r22642, r22643, r22644, r22645, r22646, r22647;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r22632, "1", 10, MPFR_RNDN);
        mpfr_init(r22633);
        mpfr_init(r22634);
        mpfr_init(r22635);
        mpfr_init(r22636);
        mpfr_init(r22637);
        mpfr_init_set_str(r22638, "2", 10, MPFR_RNDN);
        mpfr_init(r22639);
        mpfr_init(r22640);
        mpfr_init(r22641);
        mpfr_init(r22642);
        mpfr_init(r22643);
        mpfr_init(r22644);
        mpfr_init(r22645);
        mpfr_init(r22646);
        mpfr_init(r22647);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22633, Om, MPFR_RNDN);
        mpfr_set_d(r22634, Omc, MPFR_RNDN);
        mpfr_div(r22635, r22633, r22634, MPFR_RNDN);
        mpfr_sqr(r22636, r22635, MPFR_RNDN);
        mpfr_sub(r22637, r22632, r22636, MPFR_RNDN);
        ;
        mpfr_set_d(r22639, t, MPFR_RNDN);
        mpfr_set_d(r22640, l, MPFR_RNDN);
        mpfr_div(r22641, r22639, r22640, MPFR_RNDN);
        mpfr_sqr(r22642, r22641, MPFR_RNDN);
        mpfr_mul(r22643, r22638, r22642, MPFR_RNDN);
        mpfr_add(r22644, r22632, r22643, MPFR_RNDN);
        mpfr_div(r22645, r22637, r22644, MPFR_RNDN);
        mpfr_sqrt(r22646, r22645, MPFR_RNDN);
        mpfr_asin(r22647, r22646, MPFR_RNDN);
        return mpfr_get_d(r22647, MPFR_RNDN);
}

static mpfr_t r22648, r22649, r22650, r22651, r22652, r22653, r22654, r22655, r22656, r22657, r22658, r22659, r22660, r22661, r22662, r22663, r22664, r22665, r22666, r22667, r22668, r22669, r22670, r22671, r22672, r22673, r22674;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r22648, "1", 10, MPFR_RNDN);
        mpfr_init(r22649);
        mpfr_init(r22650);
        mpfr_init(r22651);
        mpfr_init(r22652);
        mpfr_init(r22653);
        mpfr_init_set_str(r22654, "2", 10, MPFR_RNDN);
        mpfr_init(r22655);
        mpfr_init(r22656);
        mpfr_init(r22657);
        mpfr_init(r22658);
        mpfr_init(r22659);
        mpfr_init(r22660);
        mpfr_init(r22661);
        mpfr_init_set_str(r22662, "0.0", 10, MPFR_RNDN);
        mpfr_init(r22663);
        mpfr_init(r22664);
        mpfr_init(r22665);
        mpfr_init(r22666);
        mpfr_init(r22667);
        mpfr_init(r22668);
        mpfr_init(r22669);
        mpfr_init(r22670);
        mpfr_init(r22671);
        mpfr_init(r22672);
        mpfr_init(r22673);
        mpfr_init(r22674);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22649, Om, MPFR_RNDN);
        mpfr_set_d(r22650, Omc, MPFR_RNDN);
        mpfr_div(r22651, r22649, r22650, MPFR_RNDN);
        mpfr_sqr(r22652, r22651, MPFR_RNDN);
        mpfr_sub(r22653, r22648, r22652, MPFR_RNDN);
        ;
        mpfr_set_d(r22655, t, MPFR_RNDN);
        mpfr_set_d(r22656, l, MPFR_RNDN);
        mpfr_div(r22657, r22655, r22656, MPFR_RNDN);
        mpfr_sqr(r22658, r22657, MPFR_RNDN);
        mpfr_mul(r22659, r22654, r22658, MPFR_RNDN);
        mpfr_add(r22660, r22648, r22659, MPFR_RNDN);
        mpfr_div(r22661, r22653, r22660, MPFR_RNDN);
        ;
        mpfr_set_si(r22663, mpfr_cmp(r22661, r22662) <= 0, MPFR_RNDN);
        mpfr_sqrt(r22664, r22653, MPFR_RNDN);
        mpfr_sqrt(r22665, r22654, MPFR_RNDN);
        mpfr_mul(r22666, r22655, r22665, MPFR_RNDN);
        mpfr_div(r22667, r22666, r22656, MPFR_RNDN);
        mpfr_div(r22668, r22664, r22667, MPFR_RNDN);
        mpfr_asin(r22669, r22668, MPFR_RNDN);
        mpfr_div(r22670, r22648, r22660, MPFR_RNDN);
        mpfr_sqrt(r22671, r22670, MPFR_RNDN);
        mpfr_mul(r22672, r22664, r22671, MPFR_RNDN);
        mpfr_asin(r22673, r22672, MPFR_RNDN);
        if (mpfr_get_si(r22663, MPFR_RNDN)) { mpfr_set(r22674, r22669, MPFR_RNDN); } else { mpfr_set(r22674, r22673, MPFR_RNDN); };
        return mpfr_get_d(r22674, MPFR_RNDN);
}

static mpfr_t r22675, r22676, r22677, r22678, r22679, r22680, r22681, r22682, r22683, r22684, r22685, r22686, r22687, r22688, r22689, r22690, r22691, r22692, r22693, r22694, r22695, r22696, r22697, r22698, r22699, r22700, r22701;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r22675, "1", 10, MPFR_RNDN);
        mpfr_init(r22676);
        mpfr_init(r22677);
        mpfr_init(r22678);
        mpfr_init(r22679);
        mpfr_init(r22680);
        mpfr_init_set_str(r22681, "2", 10, MPFR_RNDN);
        mpfr_init(r22682);
        mpfr_init(r22683);
        mpfr_init(r22684);
        mpfr_init(r22685);
        mpfr_init(r22686);
        mpfr_init(r22687);
        mpfr_init(r22688);
        mpfr_init_set_str(r22689, "0.0", 10, MPFR_RNDN);
        mpfr_init(r22690);
        mpfr_init(r22691);
        mpfr_init(r22692);
        mpfr_init(r22693);
        mpfr_init(r22694);
        mpfr_init(r22695);
        mpfr_init(r22696);
        mpfr_init(r22697);
        mpfr_init(r22698);
        mpfr_init(r22699);
        mpfr_init(r22700);
        mpfr_init(r22701);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22676, Om, MPFR_RNDN);
        mpfr_set_d(r22677, Omc, MPFR_RNDN);
        mpfr_div(r22678, r22676, r22677, MPFR_RNDN);
        mpfr_sqr(r22679, r22678, MPFR_RNDN);
        mpfr_sub(r22680, r22675, r22679, MPFR_RNDN);
        ;
        mpfr_set_d(r22682, t, MPFR_RNDN);
        mpfr_set_d(r22683, l, MPFR_RNDN);
        mpfr_div(r22684, r22682, r22683, MPFR_RNDN);
        mpfr_sqr(r22685, r22684, MPFR_RNDN);
        mpfr_mul(r22686, r22681, r22685, MPFR_RNDN);
        mpfr_add(r22687, r22675, r22686, MPFR_RNDN);
        mpfr_div(r22688, r22680, r22687, MPFR_RNDN);
        ;
        mpfr_set_si(r22690, mpfr_cmp(r22688, r22689) <= 0, MPFR_RNDN);
        mpfr_sqrt(r22691, r22680, MPFR_RNDN);
        mpfr_sqrt(r22692, r22681, MPFR_RNDN);
        mpfr_mul(r22693, r22682, r22692, MPFR_RNDN);
        mpfr_div(r22694, r22693, r22683, MPFR_RNDN);
        mpfr_div(r22695, r22691, r22694, MPFR_RNDN);
        mpfr_asin(r22696, r22695, MPFR_RNDN);
        mpfr_div(r22697, r22675, r22687, MPFR_RNDN);
        mpfr_sqrt(r22698, r22697, MPFR_RNDN);
        mpfr_mul(r22699, r22691, r22698, MPFR_RNDN);
        mpfr_asin(r22700, r22699, MPFR_RNDN);
        if (mpfr_get_si(r22690, MPFR_RNDN)) { mpfr_set(r22701, r22696, MPFR_RNDN); } else { mpfr_set(r22701, r22700, MPFR_RNDN); };
        return mpfr_get_d(r22701, MPFR_RNDN);
}