#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 r22500 = 2;
        float r22501 = n;
        float r22502 = r22500 * r22501;
        float r22503 = U;
        float r22504 = r22502 * r22503;
        float r22505 = t;
        float r22506 = l;
        float r22507 = r22506 * r22506;
        float r22508 = Om;
        float r22509 = r22507 / r22508;
        float r22510 = r22500 * r22509;
        float r22511 = r22505 - r22510;
        float r22512 = r22506 / r22508;
        float r22513 = pow(r22512, r22500);
        float r22514 = r22501 * r22513;
        float r22515 = U_;
        float r22516 = r22503 - r22515;
        float r22517 = r22514 * r22516;
        float r22518 = r22511 - r22517;
        float r22519 = r22504 * r22518;
        float r22520 = sqrt(r22519);
        return r22520;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22521 = 2;
        double r22522 = n;
        double r22523 = r22521 * r22522;
        double r22524 = U;
        double r22525 = r22523 * r22524;
        double r22526 = t;
        double r22527 = l;
        double r22528 = r22527 * r22527;
        double r22529 = Om;
        double r22530 = r22528 / r22529;
        double r22531 = r22521 * r22530;
        double r22532 = r22526 - r22531;
        double r22533 = r22527 / r22529;
        double r22534 = pow(r22533, r22521);
        double r22535 = r22522 * r22534;
        double r22536 = U_;
        double r22537 = r22524 - r22536;
        double r22538 = r22535 * r22537;
        double r22539 = r22532 - r22538;
        double r22540 = r22525 * r22539;
        double r22541 = sqrt(r22540);
        return r22541;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22542 = U;
        float r22543 = n;
        float r22544 = r22542 * r22543;
        float r22545 = 2;
        float r22546 = r22544 * r22545;
        float r22547 = l;
        float r22548 = Om;
        float r22549 = r22547 / r22548;
        float r22550 = U_;
        float r22551 = r22550 - r22542;
        float r22552 = r22549 * r22543;
        float r22553 = r22551 * r22552;
        float r22554 = cbrt(r22553);
        float r22555 = r22554 * r22554;
        float r22556 = r22555 * r22554;
        float r22557 = t;
        float r22558 = r22547 * r22545;
        float r22559 = r22558 * r22549;
        float r22560 = r22557 - r22559;
        float r22561 = fma(r22549, r22556, r22560);
        float r22562 = r22546 * r22561;
        float r22563 = 0;
        float r22564 = r22563 * r22543;
        float r22565 = r22542 * r22545;
        float r22566 = r22564 * r22565;
        float r22567 = r22562 + r22566;
        float r22568 = 1.438058171553321e-291;
        bool r22569 = r22567 <= r22568;
        float r22570 = r22545 * r22543;
        float r22571 = r22547 * r22547;
        float r22572 = r22571 / r22548;
        float r22573 = r22545 * r22572;
        float r22574 = r22557 - r22573;
        float r22575 = pow(r22549, r22545);
        float r22576 = r22543 * r22575;
        float r22577 = r22542 - r22550;
        float r22578 = r22576 * r22577;
        float r22579 = r22574 - r22578;
        float r22580 = r22542 * r22579;
        float r22581 = r22570 * r22580;
        float r22582 = sqrt(r22581);
        float r22583 = 4.142630998126354e+304;
        bool r22584 = r22567 <= r22583;
        float r22585 = sqrt(r22567);
        float r22586 = r22570 * r22542;
        float r22587 = sqrt(r22586);
        float r22588 = sqrt(r22579);
        float r22589 = r22587 * r22588;
        float r22590 = r22584 ? r22585 : r22589;
        float r22591 = r22569 ? r22582 : r22590;
        return r22591;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22592 = U;
        double r22593 = n;
        double r22594 = r22592 * r22593;
        double r22595 = 2;
        double r22596 = r22594 * r22595;
        double r22597 = l;
        double r22598 = Om;
        double r22599 = r22597 / r22598;
        double r22600 = U_;
        double r22601 = r22600 - r22592;
        double r22602 = r22599 * r22593;
        double r22603 = r22601 * r22602;
        double r22604 = cbrt(r22603);
        double r22605 = r22604 * r22604;
        double r22606 = r22605 * r22604;
        double r22607 = t;
        double r22608 = r22597 * r22595;
        double r22609 = r22608 * r22599;
        double r22610 = r22607 - r22609;
        double r22611 = fma(r22599, r22606, r22610);
        double r22612 = r22596 * r22611;
        double r22613 = 0;
        double r22614 = r22613 * r22593;
        double r22615 = r22592 * r22595;
        double r22616 = r22614 * r22615;
        double r22617 = r22612 + r22616;
        double r22618 = 1.438058171553321e-291;
        bool r22619 = r22617 <= r22618;
        double r22620 = r22595 * r22593;
        double r22621 = r22597 * r22597;
        double r22622 = r22621 / r22598;
        double r22623 = r22595 * r22622;
        double r22624 = r22607 - r22623;
        double r22625 = pow(r22599, r22595);
        double r22626 = r22593 * r22625;
        double r22627 = r22592 - r22600;
        double r22628 = r22626 * r22627;
        double r22629 = r22624 - r22628;
        double r22630 = r22592 * r22629;
        double r22631 = r22620 * r22630;
        double r22632 = sqrt(r22631);
        double r22633 = 4.142630998126354e+304;
        bool r22634 = r22617 <= r22633;
        double r22635 = sqrt(r22617);
        double r22636 = r22620 * r22592;
        double r22637 = sqrt(r22636);
        double r22638 = sqrt(r22629);
        double r22639 = r22637 * r22638;
        double r22640 = r22634 ? r22635 : r22639;
        double r22641 = r22619 ? r22632 : r22640;
        return r22641;
}

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 r22642, r22643, r22644, r22645, r22646, r22647, r22648, r22649, r22650, r22651, r22652, r22653, r22654, r22655, r22656, r22657, r22658, r22659, r22660, r22661, r22662;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22642, "2", 10, MPFR_RNDN);
        mpfr_init(r22643);
        mpfr_init(r22644);
        mpfr_init(r22645);
        mpfr_init(r22646);
        mpfr_init(r22647);
        mpfr_init(r22648);
        mpfr_init(r22649);
        mpfr_init(r22650);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22643, n, MPFR_RNDN);
        mpfr_mul(r22644, r22642, r22643, MPFR_RNDN);
        mpfr_set_d(r22645, U, MPFR_RNDN);
        mpfr_mul(r22646, r22644, r22645, MPFR_RNDN);
        mpfr_set_d(r22647, t, MPFR_RNDN);
        mpfr_set_d(r22648, l, MPFR_RNDN);
        mpfr_mul(r22649, r22648, r22648, MPFR_RNDN);
        mpfr_set_d(r22650, Om, MPFR_RNDN);
        mpfr_div(r22651, r22649, r22650, MPFR_RNDN);
        mpfr_mul(r22652, r22642, r22651, MPFR_RNDN);
        mpfr_sub(r22653, r22647, r22652, MPFR_RNDN);
        mpfr_div(r22654, r22648, r22650, MPFR_RNDN);
        mpfr_pow(r22655, r22654, r22642, MPFR_RNDN);
        mpfr_mul(r22656, r22643, r22655, MPFR_RNDN);
        mpfr_set_d(r22657, U_, MPFR_RNDN);
        mpfr_sub(r22658, r22645, r22657, MPFR_RNDN);
        mpfr_mul(r22659, r22656, r22658, MPFR_RNDN);
        mpfr_sub(r22660, r22653, r22659, MPFR_RNDN);
        mpfr_mul(r22661, r22646, r22660, MPFR_RNDN);
        mpfr_sqrt(r22662, r22661, MPFR_RNDN);
        return mpfr_get_d(r22662, MPFR_RNDN);
}

static mpfr_t 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, r22691, r22692, r22693, r22694, r22695, r22696, r22697, r22698, r22699, r22700, r22701, r22702, r22703, r22704, r22705, r22706, r22707, r22708, r22709, r22710, r22711, r22712;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22663);
        mpfr_init(r22664);
        mpfr_init(r22665);
        mpfr_init_set_str(r22666, "2", 10, MPFR_RNDN);
        mpfr_init(r22667);
        mpfr_init(r22668);
        mpfr_init(r22669);
        mpfr_init(r22670);
        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_set_str(r22684, "0", 10, MPFR_RNDN);
        mpfr_init(r22685);
        mpfr_init(r22686);
        mpfr_init(r22687);
        mpfr_init(r22688);
        mpfr_init_set_str(r22689, "1.438058171553321e-291", 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);
        mpfr_init(r22702);
        mpfr_init(r22703);
        mpfr_init_set_str(r22704, "4.142630998126354e+304", 10, MPFR_RNDN);
        mpfr_init(r22705);
        mpfr_init(r22706);
        mpfr_init(r22707);
        mpfr_init(r22708);
        mpfr_init(r22709);
        mpfr_init(r22710);
        mpfr_init(r22711);
        mpfr_init(r22712);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22663, U, MPFR_RNDN);
        mpfr_set_d(r22664, n, MPFR_RNDN);
        mpfr_mul(r22665, r22663, r22664, MPFR_RNDN);
        ;
        mpfr_mul(r22667, r22665, r22666, MPFR_RNDN);
        mpfr_set_d(r22668, l, MPFR_RNDN);
        mpfr_set_d(r22669, Om, MPFR_RNDN);
        mpfr_div(r22670, r22668, r22669, MPFR_RNDN);
        mpfr_set_d(r22671, U_, MPFR_RNDN);
        mpfr_sub(r22672, r22671, r22663, MPFR_RNDN);
        mpfr_mul(r22673, r22670, r22664, MPFR_RNDN);
        mpfr_mul(r22674, r22672, r22673, MPFR_RNDN);
        mpfr_cbrt(r22675, r22674, MPFR_RNDN);
        mpfr_mul(r22676, r22675, r22675, MPFR_RNDN);
        mpfr_mul(r22677, r22676, r22675, MPFR_RNDN);
        mpfr_set_d(r22678, t, MPFR_RNDN);
        mpfr_mul(r22679, r22668, r22666, MPFR_RNDN);
        mpfr_mul(r22680, r22679, r22670, MPFR_RNDN);
        mpfr_sub(r22681, r22678, r22680, MPFR_RNDN);
        mpfr_fma(r22682, r22670, r22677, r22681, MPFR_RNDN);
        mpfr_mul(r22683, r22667, r22682, MPFR_RNDN);
        ;
        mpfr_mul(r22685, r22684, r22664, MPFR_RNDN);
        mpfr_mul(r22686, r22663, r22666, MPFR_RNDN);
        mpfr_mul(r22687, r22685, r22686, MPFR_RNDN);
        mpfr_add(r22688, r22683, r22687, MPFR_RNDN);
        ;
        mpfr_set_si(r22690, mpfr_cmp(r22688, r22689) <= 0, MPFR_RNDN);
        mpfr_mul(r22691, r22666, r22664, MPFR_RNDN);
        mpfr_mul(r22692, r22668, r22668, MPFR_RNDN);
        mpfr_div(r22693, r22692, r22669, MPFR_RNDN);
        mpfr_mul(r22694, r22666, r22693, MPFR_RNDN);
        mpfr_sub(r22695, r22678, r22694, MPFR_RNDN);
        mpfr_pow(r22696, r22670, r22666, MPFR_RNDN);
        mpfr_mul(r22697, r22664, r22696, MPFR_RNDN);
        mpfr_sub(r22698, r22663, r22671, MPFR_RNDN);
        mpfr_mul(r22699, r22697, r22698, MPFR_RNDN);
        mpfr_sub(r22700, r22695, r22699, MPFR_RNDN);
        mpfr_mul(r22701, r22663, r22700, MPFR_RNDN);
        mpfr_mul(r22702, r22691, r22701, MPFR_RNDN);
        mpfr_sqrt(r22703, r22702, MPFR_RNDN);
        ;
        mpfr_set_si(r22705, mpfr_cmp(r22688, r22704) <= 0, MPFR_RNDN);
        mpfr_sqrt(r22706, r22688, MPFR_RNDN);
        mpfr_mul(r22707, r22691, r22663, MPFR_RNDN);
        mpfr_sqrt(r22708, r22707, MPFR_RNDN);
        mpfr_sqrt(r22709, r22700, MPFR_RNDN);
        mpfr_mul(r22710, r22708, r22709, MPFR_RNDN);
        if (mpfr_get_si(r22705, MPFR_RNDN)) { mpfr_set(r22711, r22706, MPFR_RNDN); } else { mpfr_set(r22711, r22710, MPFR_RNDN); };
        if (mpfr_get_si(r22690, MPFR_RNDN)) { mpfr_set(r22712, r22703, MPFR_RNDN); } else { mpfr_set(r22712, r22711, MPFR_RNDN); };
        return mpfr_get_d(r22712, MPFR_RNDN);
}

static mpfr_t r22713, r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721, r22722, r22723, r22724, r22725, r22726, r22727, r22728, r22729, r22730, r22731, r22732, r22733, r22734, r22735, r22736, r22737, r22738, r22739, r22740, r22741, r22742, r22743, r22744, r22745, r22746, r22747, r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760, r22761, r22762;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22713);
        mpfr_init(r22714);
        mpfr_init(r22715);
        mpfr_init_set_str(r22716, "2", 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_set_str(r22734, "0", 10, MPFR_RNDN);
        mpfr_init(r22735);
        mpfr_init(r22736);
        mpfr_init(r22737);
        mpfr_init(r22738);
        mpfr_init_set_str(r22739, "1.438058171553321e-291", 10, MPFR_RNDN);
        mpfr_init(r22740);
        mpfr_init(r22741);
        mpfr_init(r22742);
        mpfr_init(r22743);
        mpfr_init(r22744);
        mpfr_init(r22745);
        mpfr_init(r22746);
        mpfr_init(r22747);
        mpfr_init(r22748);
        mpfr_init(r22749);
        mpfr_init(r22750);
        mpfr_init(r22751);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init_set_str(r22754, "4.142630998126354e+304", 10, MPFR_RNDN);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
        mpfr_init(r22758);
        mpfr_init(r22759);
        mpfr_init(r22760);
        mpfr_init(r22761);
        mpfr_init(r22762);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22713, U, MPFR_RNDN);
        mpfr_set_d(r22714, n, MPFR_RNDN);
        mpfr_mul(r22715, r22713, r22714, MPFR_RNDN);
        ;
        mpfr_mul(r22717, r22715, r22716, MPFR_RNDN);
        mpfr_set_d(r22718, l, MPFR_RNDN);
        mpfr_set_d(r22719, Om, MPFR_RNDN);
        mpfr_div(r22720, r22718, r22719, MPFR_RNDN);
        mpfr_set_d(r22721, U_, MPFR_RNDN);
        mpfr_sub(r22722, r22721, r22713, MPFR_RNDN);
        mpfr_mul(r22723, r22720, r22714, MPFR_RNDN);
        mpfr_mul(r22724, r22722, r22723, MPFR_RNDN);
        mpfr_cbrt(r22725, r22724, MPFR_RNDN);
        mpfr_mul(r22726, r22725, r22725, MPFR_RNDN);
        mpfr_mul(r22727, r22726, r22725, MPFR_RNDN);
        mpfr_set_d(r22728, t, MPFR_RNDN);
        mpfr_mul(r22729, r22718, r22716, MPFR_RNDN);
        mpfr_mul(r22730, r22729, r22720, MPFR_RNDN);
        mpfr_sub(r22731, r22728, r22730, MPFR_RNDN);
        mpfr_fma(r22732, r22720, r22727, r22731, MPFR_RNDN);
        mpfr_mul(r22733, r22717, r22732, MPFR_RNDN);
        ;
        mpfr_mul(r22735, r22734, r22714, MPFR_RNDN);
        mpfr_mul(r22736, r22713, r22716, MPFR_RNDN);
        mpfr_mul(r22737, r22735, r22736, MPFR_RNDN);
        mpfr_add(r22738, r22733, r22737, MPFR_RNDN);
        ;
        mpfr_set_si(r22740, mpfr_cmp(r22738, r22739) <= 0, MPFR_RNDN);
        mpfr_mul(r22741, r22716, r22714, MPFR_RNDN);
        mpfr_mul(r22742, r22718, r22718, MPFR_RNDN);
        mpfr_div(r22743, r22742, r22719, MPFR_RNDN);
        mpfr_mul(r22744, r22716, r22743, MPFR_RNDN);
        mpfr_sub(r22745, r22728, r22744, MPFR_RNDN);
        mpfr_pow(r22746, r22720, r22716, MPFR_RNDN);
        mpfr_mul(r22747, r22714, r22746, MPFR_RNDN);
        mpfr_sub(r22748, r22713, r22721, MPFR_RNDN);
        mpfr_mul(r22749, r22747, r22748, MPFR_RNDN);
        mpfr_sub(r22750, r22745, r22749, MPFR_RNDN);
        mpfr_mul(r22751, r22713, r22750, MPFR_RNDN);
        mpfr_mul(r22752, r22741, r22751, MPFR_RNDN);
        mpfr_sqrt(r22753, r22752, MPFR_RNDN);
        ;
        mpfr_set_si(r22755, mpfr_cmp(r22738, r22754) <= 0, MPFR_RNDN);
        mpfr_sqrt(r22756, r22738, MPFR_RNDN);
        mpfr_mul(r22757, r22741, r22713, MPFR_RNDN);
        mpfr_sqrt(r22758, r22757, MPFR_RNDN);
        mpfr_sqrt(r22759, r22750, MPFR_RNDN);
        mpfr_mul(r22760, r22758, r22759, MPFR_RNDN);
        if (mpfr_get_si(r22755, MPFR_RNDN)) { mpfr_set(r22761, r22756, MPFR_RNDN); } else { mpfr_set(r22761, r22760, MPFR_RNDN); };
        if (mpfr_get_si(r22740, MPFR_RNDN)) { mpfr_set(r22762, r22753, MPFR_RNDN); } else { mpfr_set(r22762, r22761, MPFR_RNDN); };
        return mpfr_get_d(r22762, MPFR_RNDN);
}