#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 r22490 = 2;
        float r22491 = n;
        float r22492 = r22490 * r22491;
        float r22493 = U;
        float r22494 = r22492 * r22493;
        float r22495 = t;
        float r22496 = l;
        float r22497 = r22496 * r22496;
        float r22498 = Om;
        float r22499 = r22497 / r22498;
        float r22500 = r22490 * r22499;
        float r22501 = r22495 - r22500;
        float r22502 = r22496 / r22498;
        float r22503 = pow(r22502, r22490);
        float r22504 = r22491 * r22503;
        float r22505 = U_;
        float r22506 = r22493 - r22505;
        float r22507 = r22504 * r22506;
        float r22508 = r22501 - r22507;
        float r22509 = r22494 * r22508;
        float r22510 = sqrt(r22509);
        return r22510;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22511 = 2;
        double r22512 = n;
        double r22513 = r22511 * r22512;
        double r22514 = U;
        double r22515 = r22513 * r22514;
        double r22516 = t;
        double r22517 = l;
        double r22518 = r22517 * r22517;
        double r22519 = Om;
        double r22520 = r22518 / r22519;
        double r22521 = r22511 * r22520;
        double r22522 = r22516 - r22521;
        double r22523 = r22517 / r22519;
        double r22524 = pow(r22523, r22511);
        double r22525 = r22512 * r22524;
        double r22526 = U_;
        double r22527 = r22514 - r22526;
        double r22528 = r22525 * r22527;
        double r22529 = r22522 - r22528;
        double r22530 = r22515 * r22529;
        double r22531 = sqrt(r22530);
        return r22531;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22532 = 2;
        float r22533 = U;
        float r22534 = n;
        float r22535 = r22533 * r22534;
        float r22536 = r22532 * r22535;
        float r22537 = -2.4658747214746e-317;
        bool r22538 = r22536 <= r22537;
        float r22539 = r22532 * r22534;
        float r22540 = r22539 * r22533;
        float r22541 = t;
        float r22542 = l;
        float r22543 = Om;
        float r22544 = r22543 / r22542;
        float r22545 = r22542 / r22544;
        float r22546 = r22532 * r22545;
        float r22547 = r22541 - r22546;
        float r22548 = r22542 / r22543;
        float r22549 = pow(r22548, r22532);
        float r22550 = r22534 * r22549;
        float r22551 = U_;
        float r22552 = r22533 - r22551;
        float r22553 = r22550 * r22552;
        float r22554 = r22547 - r22553;
        float r22555 = r22540 * r22554;
        float r22556 = sqrt(r22555);
        float r22557 = 4.7133862613255e-321;
        bool r22558 = r22536 <= r22557;
        float r22559 = r22534 / r22543;
        float r22560 = r22559 * r22559;
        float r22561 = r22551 * r22533;
        float r22562 = r22542 * r22542;
        float r22563 = r22561 * r22562;
        float r22564 = r22542 * r22533;
        float r22565 = r22564 * r22564;
        float r22566 = r22563 - r22565;
        float r22567 = r22560 * r22566;
        float r22568 = r22541 * r22534;
        float r22569 = r22533 * r22568;
        float r22570 = r22567 + r22569;
        float r22571 = r22532 * r22570;
        float r22572 = sqrt(r22571);
        float r22573 = sqrt(r22540);
        float r22574 = sqrt(r22554);
        float r22575 = r22573 * r22574;
        float r22576 = r22558 ? r22572 : r22575;
        float r22577 = r22538 ? r22556 : r22576;
        return r22577;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22578 = 2;
        double r22579 = U;
        double r22580 = n;
        double r22581 = r22579 * r22580;
        double r22582 = r22578 * r22581;
        double r22583 = -2.4658747214746e-317;
        bool r22584 = r22582 <= r22583;
        double r22585 = r22578 * r22580;
        double r22586 = r22585 * r22579;
        double r22587 = t;
        double r22588 = l;
        double r22589 = Om;
        double r22590 = r22589 / r22588;
        double r22591 = r22588 / r22590;
        double r22592 = r22578 * r22591;
        double r22593 = r22587 - r22592;
        double r22594 = r22588 / r22589;
        double r22595 = pow(r22594, r22578);
        double r22596 = r22580 * r22595;
        double r22597 = U_;
        double r22598 = r22579 - r22597;
        double r22599 = r22596 * r22598;
        double r22600 = r22593 - r22599;
        double r22601 = r22586 * r22600;
        double r22602 = sqrt(r22601);
        double r22603 = 4.7133862613255e-321;
        bool r22604 = r22582 <= r22603;
        double r22605 = r22580 / r22589;
        double r22606 = r22605 * r22605;
        double r22607 = r22597 * r22579;
        double r22608 = r22588 * r22588;
        double r22609 = r22607 * r22608;
        double r22610 = r22588 * r22579;
        double r22611 = r22610 * r22610;
        double r22612 = r22609 - r22611;
        double r22613 = r22606 * r22612;
        double r22614 = r22587 * r22580;
        double r22615 = r22579 * r22614;
        double r22616 = r22613 + r22615;
        double r22617 = r22578 * r22616;
        double r22618 = sqrt(r22617);
        double r22619 = sqrt(r22586);
        double r22620 = sqrt(r22600);
        double r22621 = r22619 * r22620;
        double r22622 = r22604 ? r22618 : r22621;
        double r22623 = r22584 ? r22602 : r22622;
        return r22623;
}

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 r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636, r22637, r22638, r22639, r22640, r22641, r22642, r22643, r22644;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22624, "2", 10, MPFR_RNDN);
        mpfr_init(r22625);
        mpfr_init(r22626);
        mpfr_init(r22627);
        mpfr_init(r22628);
        mpfr_init(r22629);
        mpfr_init(r22630);
        mpfr_init(r22631);
        mpfr_init(r22632);
        mpfr_init(r22633);
        mpfr_init(r22634);
        mpfr_init(r22635);
        mpfr_init(r22636);
        mpfr_init(r22637);
        mpfr_init(r22638);
        mpfr_init(r22639);
        mpfr_init(r22640);
        mpfr_init(r22641);
        mpfr_init(r22642);
        mpfr_init(r22643);
        mpfr_init(r22644);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22625, n, MPFR_RNDN);
        mpfr_mul(r22626, r22624, r22625, MPFR_RNDN);
        mpfr_set_d(r22627, U, MPFR_RNDN);
        mpfr_mul(r22628, r22626, r22627, MPFR_RNDN);
        mpfr_set_d(r22629, t, MPFR_RNDN);
        mpfr_set_d(r22630, l, MPFR_RNDN);
        mpfr_mul(r22631, r22630, r22630, MPFR_RNDN);
        mpfr_set_d(r22632, Om, MPFR_RNDN);
        mpfr_div(r22633, r22631, r22632, MPFR_RNDN);
        mpfr_mul(r22634, r22624, r22633, MPFR_RNDN);
        mpfr_sub(r22635, r22629, r22634, MPFR_RNDN);
        mpfr_div(r22636, r22630, r22632, MPFR_RNDN);
        mpfr_pow(r22637, r22636, r22624, MPFR_RNDN);
        mpfr_mul(r22638, r22625, r22637, MPFR_RNDN);
        mpfr_set_d(r22639, U_, MPFR_RNDN);
        mpfr_sub(r22640, r22627, r22639, MPFR_RNDN);
        mpfr_mul(r22641, r22638, r22640, MPFR_RNDN);
        mpfr_sub(r22642, r22635, r22641, MPFR_RNDN);
        mpfr_mul(r22643, r22628, r22642, MPFR_RNDN);
        mpfr_sqrt(r22644, r22643, MPFR_RNDN);
        return mpfr_get_d(r22644, MPFR_RNDN);
}

static mpfr_t r22645, r22646, r22647, 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, r22675, r22676, r22677, r22678, r22679, r22680, r22681, r22682, r22683, r22684, r22685, r22686, r22687, r22688, r22689, r22690;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22645, "2", 10, MPFR_RNDN);
        mpfr_init(r22646);
        mpfr_init(r22647);
        mpfr_init(r22648);
        mpfr_init(r22649);
        mpfr_init_set_str(r22650, "-2.4658747214746e-317", 10, MPFR_RNDN);
        mpfr_init(r22651);
        mpfr_init(r22652);
        mpfr_init(r22653);
        mpfr_init(r22654);
        mpfr_init(r22655);
        mpfr_init(r22656);
        mpfr_init(r22657);
        mpfr_init(r22658);
        mpfr_init(r22659);
        mpfr_init(r22660);
        mpfr_init(r22661);
        mpfr_init(r22662);
        mpfr_init(r22663);
        mpfr_init(r22664);
        mpfr_init(r22665);
        mpfr_init(r22666);
        mpfr_init(r22667);
        mpfr_init(r22668);
        mpfr_init(r22669);
        mpfr_init_set_str(r22670, "4.7133862613255e-321", 10, MPFR_RNDN);
        mpfr_init(r22671);
        mpfr_init(r22672);
        mpfr_init(r22673);
        mpfr_init(r22674);
        mpfr_init(r22675);
        mpfr_init(r22676);
        mpfr_init(r22677);
        mpfr_init(r22678);
        mpfr_init(r22679);
        mpfr_init(r22680);
        mpfr_init(r22681);
        mpfr_init(r22682);
        mpfr_init(r22683);
        mpfr_init(r22684);
        mpfr_init(r22685);
        mpfr_init(r22686);
        mpfr_init(r22687);
        mpfr_init(r22688);
        mpfr_init(r22689);
        mpfr_init(r22690);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22646, U, MPFR_RNDN);
        mpfr_set_d(r22647, n, MPFR_RNDN);
        mpfr_mul(r22648, r22646, r22647, MPFR_RNDN);
        mpfr_mul(r22649, r22645, r22648, MPFR_RNDN);
        ;
        mpfr_set_si(r22651, mpfr_cmp(r22649, r22650) <= 0, MPFR_RNDN);
        mpfr_mul(r22652, r22645, r22647, MPFR_RNDN);
        mpfr_mul(r22653, r22652, r22646, MPFR_RNDN);
        mpfr_set_d(r22654, t, MPFR_RNDN);
        mpfr_set_d(r22655, l, MPFR_RNDN);
        mpfr_set_d(r22656, Om, MPFR_RNDN);
        mpfr_div(r22657, r22656, r22655, MPFR_RNDN);
        mpfr_div(r22658, r22655, r22657, MPFR_RNDN);
        mpfr_mul(r22659, r22645, r22658, MPFR_RNDN);
        mpfr_sub(r22660, r22654, r22659, MPFR_RNDN);
        mpfr_div(r22661, r22655, r22656, MPFR_RNDN);
        mpfr_pow(r22662, r22661, r22645, MPFR_RNDN);
        mpfr_mul(r22663, r22647, r22662, MPFR_RNDN);
        mpfr_set_d(r22664, U_, MPFR_RNDN);
        mpfr_sub(r22665, r22646, r22664, MPFR_RNDN);
        mpfr_mul(r22666, r22663, r22665, MPFR_RNDN);
        mpfr_sub(r22667, r22660, r22666, MPFR_RNDN);
        mpfr_mul(r22668, r22653, r22667, MPFR_RNDN);
        mpfr_sqrt(r22669, r22668, MPFR_RNDN);
        ;
        mpfr_set_si(r22671, mpfr_cmp(r22649, r22670) <= 0, MPFR_RNDN);
        mpfr_div(r22672, r22647, r22656, MPFR_RNDN);
        mpfr_mul(r22673, r22672, r22672, MPFR_RNDN);
        mpfr_mul(r22674, r22664, r22646, MPFR_RNDN);
        mpfr_mul(r22675, r22655, r22655, MPFR_RNDN);
        mpfr_mul(r22676, r22674, r22675, MPFR_RNDN);
        mpfr_mul(r22677, r22655, r22646, MPFR_RNDN);
        mpfr_mul(r22678, r22677, r22677, MPFR_RNDN);
        mpfr_sub(r22679, r22676, r22678, MPFR_RNDN);
        mpfr_mul(r22680, r22673, r22679, MPFR_RNDN);
        mpfr_mul(r22681, r22654, r22647, MPFR_RNDN);
        mpfr_mul(r22682, r22646, r22681, MPFR_RNDN);
        mpfr_add(r22683, r22680, r22682, MPFR_RNDN);
        mpfr_mul(r22684, r22645, r22683, MPFR_RNDN);
        mpfr_sqrt(r22685, r22684, MPFR_RNDN);
        mpfr_sqrt(r22686, r22653, MPFR_RNDN);
        mpfr_sqrt(r22687, r22667, MPFR_RNDN);
        mpfr_mul(r22688, r22686, r22687, MPFR_RNDN);
        if (mpfr_get_si(r22671, MPFR_RNDN)) { mpfr_set(r22689, r22685, MPFR_RNDN); } else { mpfr_set(r22689, r22688, MPFR_RNDN); };
        if (mpfr_get_si(r22651, MPFR_RNDN)) { mpfr_set(r22690, r22669, MPFR_RNDN); } else { mpfr_set(r22690, r22689, MPFR_RNDN); };
        return mpfr_get_d(r22690, MPFR_RNDN);
}

static mpfr_t r22691, r22692, r22693, r22694, r22695, r22696, r22697, r22698, r22699, r22700, r22701, r22702, r22703, r22704, r22705, r22706, r22707, r22708, r22709, r22710, r22711, r22712, r22713, r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721, r22722, r22723, r22724, r22725, r22726, r22727, r22728, r22729, r22730, r22731, r22732, r22733, r22734, r22735, r22736;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22691, "2", 10, MPFR_RNDN);
        mpfr_init(r22692);
        mpfr_init(r22693);
        mpfr_init(r22694);
        mpfr_init(r22695);
        mpfr_init_set_str(r22696, "-2.4658747214746e-317", 10, MPFR_RNDN);
        mpfr_init(r22697);
        mpfr_init(r22698);
        mpfr_init(r22699);
        mpfr_init(r22700);
        mpfr_init(r22701);
        mpfr_init(r22702);
        mpfr_init(r22703);
        mpfr_init(r22704);
        mpfr_init(r22705);
        mpfr_init(r22706);
        mpfr_init(r22707);
        mpfr_init(r22708);
        mpfr_init(r22709);
        mpfr_init(r22710);
        mpfr_init(r22711);
        mpfr_init(r22712);
        mpfr_init(r22713);
        mpfr_init(r22714);
        mpfr_init(r22715);
        mpfr_init_set_str(r22716, "4.7133862613255e-321", 10, MPFR_RNDN);
        mpfr_init(r22717);
        mpfr_init(r22718);
        mpfr_init(r22719);
        mpfr_init(r22720);
        mpfr_init(r22721);
        mpfr_init(r22722);
        mpfr_init(r22723);
        mpfr_init(r22724);
        mpfr_init(r22725);
        mpfr_init(r22726);
        mpfr_init(r22727);
        mpfr_init(r22728);
        mpfr_init(r22729);
        mpfr_init(r22730);
        mpfr_init(r22731);
        mpfr_init(r22732);
        mpfr_init(r22733);
        mpfr_init(r22734);
        mpfr_init(r22735);
        mpfr_init(r22736);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22692, U, MPFR_RNDN);
        mpfr_set_d(r22693, n, MPFR_RNDN);
        mpfr_mul(r22694, r22692, r22693, MPFR_RNDN);
        mpfr_mul(r22695, r22691, r22694, MPFR_RNDN);
        ;
        mpfr_set_si(r22697, mpfr_cmp(r22695, r22696) <= 0, MPFR_RNDN);
        mpfr_mul(r22698, r22691, r22693, MPFR_RNDN);
        mpfr_mul(r22699, r22698, r22692, MPFR_RNDN);
        mpfr_set_d(r22700, t, MPFR_RNDN);
        mpfr_set_d(r22701, l, MPFR_RNDN);
        mpfr_set_d(r22702, Om, MPFR_RNDN);
        mpfr_div(r22703, r22702, r22701, MPFR_RNDN);
        mpfr_div(r22704, r22701, r22703, MPFR_RNDN);
        mpfr_mul(r22705, r22691, r22704, MPFR_RNDN);
        mpfr_sub(r22706, r22700, r22705, MPFR_RNDN);
        mpfr_div(r22707, r22701, r22702, MPFR_RNDN);
        mpfr_pow(r22708, r22707, r22691, MPFR_RNDN);
        mpfr_mul(r22709, r22693, r22708, MPFR_RNDN);
        mpfr_set_d(r22710, U_, MPFR_RNDN);
        mpfr_sub(r22711, r22692, r22710, MPFR_RNDN);
        mpfr_mul(r22712, r22709, r22711, MPFR_RNDN);
        mpfr_sub(r22713, r22706, r22712, MPFR_RNDN);
        mpfr_mul(r22714, r22699, r22713, MPFR_RNDN);
        mpfr_sqrt(r22715, r22714, MPFR_RNDN);
        ;
        mpfr_set_si(r22717, mpfr_cmp(r22695, r22716) <= 0, MPFR_RNDN);
        mpfr_div(r22718, r22693, r22702, MPFR_RNDN);
        mpfr_mul(r22719, r22718, r22718, MPFR_RNDN);
        mpfr_mul(r22720, r22710, r22692, MPFR_RNDN);
        mpfr_mul(r22721, r22701, r22701, MPFR_RNDN);
        mpfr_mul(r22722, r22720, r22721, MPFR_RNDN);
        mpfr_mul(r22723, r22701, r22692, MPFR_RNDN);
        mpfr_mul(r22724, r22723, r22723, MPFR_RNDN);
        mpfr_sub(r22725, r22722, r22724, MPFR_RNDN);
        mpfr_mul(r22726, r22719, r22725, MPFR_RNDN);
        mpfr_mul(r22727, r22700, r22693, MPFR_RNDN);
        mpfr_mul(r22728, r22692, r22727, MPFR_RNDN);
        mpfr_add(r22729, r22726, r22728, MPFR_RNDN);
        mpfr_mul(r22730, r22691, r22729, MPFR_RNDN);
        mpfr_sqrt(r22731, r22730, MPFR_RNDN);
        mpfr_sqrt(r22732, r22699, MPFR_RNDN);
        mpfr_sqrt(r22733, r22713, MPFR_RNDN);
        mpfr_mul(r22734, r22732, r22733, MPFR_RNDN);
        if (mpfr_get_si(r22717, MPFR_RNDN)) { mpfr_set(r22735, r22731, MPFR_RNDN); } else { mpfr_set(r22735, r22734, MPFR_RNDN); };
        if (mpfr_get_si(r22697, MPFR_RNDN)) { mpfr_set(r22736, r22715, MPFR_RNDN); } else { mpfr_set(r22736, r22735, MPFR_RNDN); };
        return mpfr_get_d(r22736, MPFR_RNDN);
}