#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r21523 = 2;
        float r21524 = n;
        float r21525 = r21523 * r21524;
        float r21526 = U;
        float r21527 = r21525 * r21526;
        float r21528 = t;
        float r21529 = l;
        float r21530 = r21529 * r21529;
        float r21531 = Om;
        float r21532 = r21530 / r21531;
        float r21533 = r21523 * r21532;
        float r21534 = r21528 - r21533;
        float r21535 = r21529 / r21531;
        float r21536 = pow(r21535, r21523);
        float r21537 = r21524 * r21536;
        float r21538 = U_;
        float r21539 = r21526 - r21538;
        float r21540 = r21537 * r21539;
        float r21541 = r21534 - r21540;
        float r21542 = r21527 * r21541;
        float r21543 = sqrt(r21542);
        return r21543;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21544 = 2;
        double r21545 = n;
        double r21546 = r21544 * r21545;
        double r21547 = U;
        double r21548 = r21546 * r21547;
        double r21549 = t;
        double r21550 = l;
        double r21551 = r21550 * r21550;
        double r21552 = Om;
        double r21553 = r21551 / r21552;
        double r21554 = r21544 * r21553;
        double r21555 = r21549 - r21554;
        double r21556 = r21550 / r21552;
        double r21557 = pow(r21556, r21544);
        double r21558 = r21545 * r21557;
        double r21559 = U_;
        double r21560 = r21547 - r21559;
        double r21561 = r21558 * r21560;
        double r21562 = r21555 - r21561;
        double r21563 = r21548 * r21562;
        double r21564 = sqrt(r21563);
        return r21564;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21565 = n;
        float r21566 = 2.4218689061952355e-299;
        bool r21567 = r21565 <= r21566;
        float r21568 = 2;
        float r21569 = r21568 * r21565;
        float r21570 = U;
        float r21571 = t;
        float r21572 = l;
        float r21573 = Om;
        float r21574 = r21573 / r21572;
        float r21575 = r21572 / r21574;
        float r21576 = r21568 * r21575;
        float r21577 = r21571 - r21576;
        float r21578 = r21572 / r21573;
        float r21579 = pow(r21578, r21568);
        float r21580 = r21565 * r21579;
        float r21581 = U_;
        float r21582 = r21570 - r21581;
        float r21583 = r21580 * r21582;
        float r21584 = r21577 - r21583;
        float r21585 = r21570 * r21584;
        float r21586 = r21569 * r21585;
        float r21587 = sqrt(r21586);
        float r21588 = sqrt(r21569);
        float r21589 = r21572 * r21572;
        float r21590 = r21589 / r21573;
        float r21591 = r21568 * r21590;
        float r21592 = r21571 - r21591;
        float r21593 = r21565 * r21578;
        float r21594 = r21578 * r21582;
        float r21595 = r21593 * r21594;
        float r21596 = r21592 - r21595;
        float r21597 = r21570 * r21596;
        float r21598 = sqrt(r21597);
        float r21599 = r21588 * r21598;
        float r21600 = r21567 ? r21587 : r21599;
        return r21600;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21601 = n;
        double r21602 = 2.4218689061952355e-299;
        bool r21603 = r21601 <= r21602;
        double r21604 = 2;
        double r21605 = r21604 * r21601;
        double r21606 = U;
        double r21607 = t;
        double r21608 = l;
        double r21609 = Om;
        double r21610 = r21609 / r21608;
        double r21611 = r21608 / r21610;
        double r21612 = r21604 * r21611;
        double r21613 = r21607 - r21612;
        double r21614 = r21608 / r21609;
        double r21615 = pow(r21614, r21604);
        double r21616 = r21601 * r21615;
        double r21617 = U_;
        double r21618 = r21606 - r21617;
        double r21619 = r21616 * r21618;
        double r21620 = r21613 - r21619;
        double r21621 = r21606 * r21620;
        double r21622 = r21605 * r21621;
        double r21623 = sqrt(r21622);
        double r21624 = sqrt(r21605);
        double r21625 = r21608 * r21608;
        double r21626 = r21625 / r21609;
        double r21627 = r21604 * r21626;
        double r21628 = r21607 - r21627;
        double r21629 = r21601 * r21614;
        double r21630 = r21614 * r21618;
        double r21631 = r21629 * r21630;
        double r21632 = r21628 - r21631;
        double r21633 = r21606 * r21632;
        double r21634 = sqrt(r21633);
        double r21635 = r21624 * r21634;
        double r21636 = r21603 ? r21623 : r21635;
        return r21636;
}

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 r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21637, "2", 10, MPFR_RNDN);
        mpfr_init(r21638);
        mpfr_init(r21639);
        mpfr_init(r21640);
        mpfr_init(r21641);
        mpfr_init(r21642);
        mpfr_init(r21643);
        mpfr_init(r21644);
        mpfr_init(r21645);
        mpfr_init(r21646);
        mpfr_init(r21647);
        mpfr_init(r21648);
        mpfr_init(r21649);
        mpfr_init(r21650);
        mpfr_init(r21651);
        mpfr_init(r21652);
        mpfr_init(r21653);
        mpfr_init(r21654);
        mpfr_init(r21655);
        mpfr_init(r21656);
        mpfr_init(r21657);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21638, n, MPFR_RNDN);
        mpfr_mul(r21639, r21637, r21638, MPFR_RNDN);
        mpfr_set_d(r21640, U, MPFR_RNDN);
        mpfr_mul(r21641, r21639, r21640, MPFR_RNDN);
        mpfr_set_d(r21642, t, MPFR_RNDN);
        mpfr_set_d(r21643, l, MPFR_RNDN);
        mpfr_mul(r21644, r21643, r21643, MPFR_RNDN);
        mpfr_set_d(r21645, Om, MPFR_RNDN);
        mpfr_div(r21646, r21644, r21645, MPFR_RNDN);
        mpfr_mul(r21647, r21637, r21646, MPFR_RNDN);
        mpfr_sub(r21648, r21642, r21647, MPFR_RNDN);
        mpfr_div(r21649, r21643, r21645, MPFR_RNDN);
        mpfr_pow(r21650, r21649, r21637, MPFR_RNDN);
        mpfr_mul(r21651, r21638, r21650, MPFR_RNDN);
        mpfr_set_d(r21652, U_, MPFR_RNDN);
        mpfr_sub(r21653, r21640, r21652, MPFR_RNDN);
        mpfr_mul(r21654, r21651, r21653, MPFR_RNDN);
        mpfr_sub(r21655, r21648, r21654, MPFR_RNDN);
        mpfr_mul(r21656, r21641, r21655, MPFR_RNDN);
        mpfr_sqrt(r21657, r21656, MPFR_RNDN);
        return mpfr_get_d(r21657, MPFR_RNDN);
}

static mpfr_t r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672, r21673, r21674, r21675, r21676, r21677, r21678, r21679, r21680, r21681, r21682, r21683, r21684, r21685, r21686, r21687, r21688, r21689, r21690, r21691, r21692, r21693;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21658);
        mpfr_init_set_str(r21659, "2.4218689061952355e-299", 10, MPFR_RNDN);
        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);
        mpfr_init(r21673);
        mpfr_init(r21674);
        mpfr_init(r21675);
        mpfr_init(r21676);
        mpfr_init(r21677);
        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);
        mpfr_init(r21690);
        mpfr_init(r21691);
        mpfr_init(r21692);
        mpfr_init(r21693);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21658, n, MPFR_RNDN);
        ;
        mpfr_set_si(r21660, mpfr_cmp(r21658, r21659) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21662, r21661, r21658, MPFR_RNDN);
        mpfr_set_d(r21663, U, MPFR_RNDN);
        mpfr_set_d(r21664, t, MPFR_RNDN);
        mpfr_set_d(r21665, l, MPFR_RNDN);
        mpfr_set_d(r21666, Om, MPFR_RNDN);
        mpfr_div(r21667, r21666, r21665, MPFR_RNDN);
        mpfr_div(r21668, r21665, r21667, MPFR_RNDN);
        mpfr_mul(r21669, r21661, r21668, MPFR_RNDN);
        mpfr_sub(r21670, r21664, r21669, MPFR_RNDN);
        mpfr_div(r21671, r21665, r21666, MPFR_RNDN);
        mpfr_pow(r21672, r21671, r21661, MPFR_RNDN);
        mpfr_mul(r21673, r21658, r21672, MPFR_RNDN);
        mpfr_set_d(r21674, U_, MPFR_RNDN);
        mpfr_sub(r21675, r21663, r21674, MPFR_RNDN);
        mpfr_mul(r21676, r21673, r21675, MPFR_RNDN);
        mpfr_sub(r21677, r21670, r21676, MPFR_RNDN);
        mpfr_mul(r21678, r21663, r21677, MPFR_RNDN);
        mpfr_mul(r21679, r21662, r21678, MPFR_RNDN);
        mpfr_sqrt(r21680, r21679, MPFR_RNDN);
        mpfr_sqrt(r21681, r21662, MPFR_RNDN);
        mpfr_mul(r21682, r21665, r21665, MPFR_RNDN);
        mpfr_div(r21683, r21682, r21666, MPFR_RNDN);
        mpfr_mul(r21684, r21661, r21683, MPFR_RNDN);
        mpfr_sub(r21685, r21664, r21684, MPFR_RNDN);
        mpfr_mul(r21686, r21658, r21671, MPFR_RNDN);
        mpfr_mul(r21687, r21671, r21675, MPFR_RNDN);
        mpfr_mul(r21688, r21686, r21687, MPFR_RNDN);
        mpfr_sub(r21689, r21685, r21688, MPFR_RNDN);
        mpfr_mul(r21690, r21663, r21689, MPFR_RNDN);
        mpfr_sqrt(r21691, r21690, MPFR_RNDN);
        mpfr_mul(r21692, r21681, r21691, MPFR_RNDN);
        if (mpfr_get_si(r21660, MPFR_RNDN)) { mpfr_set(r21693, r21680, MPFR_RNDN); } else { mpfr_set(r21693, r21692, MPFR_RNDN); };
        return mpfr_get_d(r21693, MPFR_RNDN);
}

static mpfr_t r21694, r21695, r21696, r21697, r21698, r21699, r21700, r21701, r21702, r21703, r21704, r21705, r21706, r21707, r21708, r21709, r21710, r21711, r21712, r21713, r21714, r21715, r21716, r21717, r21718, r21719, r21720, r21721, r21722, r21723, r21724, r21725, r21726, r21727, r21728, r21729;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21694);
        mpfr_init_set_str(r21695, "2.4218689061952355e-299", 10, MPFR_RNDN);
        mpfr_init(r21696);
        mpfr_init_set_str(r21697, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21707);
        mpfr_init(r21708);
        mpfr_init(r21709);
        mpfr_init(r21710);
        mpfr_init(r21711);
        mpfr_init(r21712);
        mpfr_init(r21713);
        mpfr_init(r21714);
        mpfr_init(r21715);
        mpfr_init(r21716);
        mpfr_init(r21717);
        mpfr_init(r21718);
        mpfr_init(r21719);
        mpfr_init(r21720);
        mpfr_init(r21721);
        mpfr_init(r21722);
        mpfr_init(r21723);
        mpfr_init(r21724);
        mpfr_init(r21725);
        mpfr_init(r21726);
        mpfr_init(r21727);
        mpfr_init(r21728);
        mpfr_init(r21729);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21694, n, MPFR_RNDN);
        ;
        mpfr_set_si(r21696, mpfr_cmp(r21694, r21695) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21698, r21697, r21694, MPFR_RNDN);
        mpfr_set_d(r21699, U, MPFR_RNDN);
        mpfr_set_d(r21700, t, MPFR_RNDN);
        mpfr_set_d(r21701, l, MPFR_RNDN);
        mpfr_set_d(r21702, Om, MPFR_RNDN);
        mpfr_div(r21703, r21702, r21701, MPFR_RNDN);
        mpfr_div(r21704, r21701, r21703, MPFR_RNDN);
        mpfr_mul(r21705, r21697, r21704, MPFR_RNDN);
        mpfr_sub(r21706, r21700, r21705, MPFR_RNDN);
        mpfr_div(r21707, r21701, r21702, MPFR_RNDN);
        mpfr_pow(r21708, r21707, r21697, MPFR_RNDN);
        mpfr_mul(r21709, r21694, r21708, MPFR_RNDN);
        mpfr_set_d(r21710, U_, MPFR_RNDN);
        mpfr_sub(r21711, r21699, r21710, MPFR_RNDN);
        mpfr_mul(r21712, r21709, r21711, MPFR_RNDN);
        mpfr_sub(r21713, r21706, r21712, MPFR_RNDN);
        mpfr_mul(r21714, r21699, r21713, MPFR_RNDN);
        mpfr_mul(r21715, r21698, r21714, MPFR_RNDN);
        mpfr_sqrt(r21716, r21715, MPFR_RNDN);
        mpfr_sqrt(r21717, r21698, MPFR_RNDN);
        mpfr_mul(r21718, r21701, r21701, MPFR_RNDN);
        mpfr_div(r21719, r21718, r21702, MPFR_RNDN);
        mpfr_mul(r21720, r21697, r21719, MPFR_RNDN);
        mpfr_sub(r21721, r21700, r21720, MPFR_RNDN);
        mpfr_mul(r21722, r21694, r21707, MPFR_RNDN);
        mpfr_mul(r21723, r21707, r21711, MPFR_RNDN);
        mpfr_mul(r21724, r21722, r21723, MPFR_RNDN);
        mpfr_sub(r21725, r21721, r21724, MPFR_RNDN);
        mpfr_mul(r21726, r21699, r21725, MPFR_RNDN);
        mpfr_sqrt(r21727, r21726, MPFR_RNDN);
        mpfr_mul(r21728, r21717, r21727, MPFR_RNDN);
        if (mpfr_get_si(r21696, MPFR_RNDN)) { mpfr_set(r21729, r21716, MPFR_RNDN); } else { mpfr_set(r21729, r21728, MPFR_RNDN); };
        return mpfr_get_d(r21729, MPFR_RNDN);
}