#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 r22509 = 2;
        float r22510 = n;
        float r22511 = r22509 * r22510;
        float r22512 = U;
        float r22513 = r22511 * r22512;
        float r22514 = t;
        float r22515 = l;
        float r22516 = r22515 * r22515;
        float r22517 = Om;
        float r22518 = r22516 / r22517;
        float r22519 = r22509 * r22518;
        float r22520 = r22514 - r22519;
        float r22521 = r22515 / r22517;
        float r22522 = pow(r22521, r22509);
        float r22523 = r22510 * r22522;
        float r22524 = U_;
        float r22525 = r22512 - r22524;
        float r22526 = r22523 * r22525;
        float r22527 = r22520 - r22526;
        float r22528 = r22513 * r22527;
        float r22529 = sqrt(r22528);
        return r22529;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22530 = 2;
        double r22531 = n;
        double r22532 = r22530 * r22531;
        double r22533 = U;
        double r22534 = r22532 * r22533;
        double r22535 = t;
        double r22536 = l;
        double r22537 = r22536 * r22536;
        double r22538 = Om;
        double r22539 = r22537 / r22538;
        double r22540 = r22530 * r22539;
        double r22541 = r22535 - r22540;
        double r22542 = r22536 / r22538;
        double r22543 = pow(r22542, r22530);
        double r22544 = r22531 * r22543;
        double r22545 = U_;
        double r22546 = r22533 - r22545;
        double r22547 = r22544 * r22546;
        double r22548 = r22541 - r22547;
        double r22549 = r22534 * r22548;
        double r22550 = sqrt(r22549);
        return r22550;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22551 = 2;
        float r22552 = U;
        float r22553 = n;
        float r22554 = r22552 * r22553;
        float r22555 = r22551 * r22554;
        float r22556 = -8.579958025957668e-157;
        bool r22557 = r22555 <= r22556;
        float r22558 = r22551 * r22553;
        float r22559 = r22558 * r22552;
        float r22560 = t;
        float r22561 = l;
        float r22562 = r22561 * r22561;
        float r22563 = Om;
        float r22564 = r22562 / r22563;
        float r22565 = r22551 * r22564;
        float r22566 = r22560 - r22565;
        float r22567 = r22561 / r22563;
        float r22568 = pow(r22567, r22551);
        float r22569 = r22553 * r22568;
        float r22570 = U_;
        float r22571 = r22552 - r22570;
        float r22572 = r22569 * r22571;
        float r22573 = r22566 - r22572;
        float r22574 = r22559 * r22573;
        float r22575 = sqrt(r22574);
        float r22576 = sqrt(r22575);
        float r22577 = r22576 * r22576;
        float r22578 = 1.6894684148787722e-301;
        bool r22579 = r22555 <= r22578;
        float r22580 = r22563 / r22561;
        float r22581 = r22561 / r22580;
        float r22582 = r22551 * r22581;
        float r22583 = r22560 - r22582;
        float r22584 = r22563 / r22553;
        float r22585 = r22561 / r22584;
        float r22586 = cbrt(r22567);
        float r22587 = r22585 * r22586;
        float r22588 = pow(r22586, r22551);
        float r22589 = r22587 * r22588;
        float r22590 = r22589 * r22571;
        float r22591 = r22583 - r22590;
        float r22592 = r22552 * r22591;
        float r22593 = r22558 * r22592;
        float r22594 = sqrt(r22593);
        float r22595 = sqrt(r22559);
        float r22596 = r22583 - r22572;
        float r22597 = sqrt(r22596);
        float r22598 = r22595 * r22597;
        float r22599 = r22579 ? r22594 : r22598;
        float r22600 = r22557 ? r22577 : r22599;
        return r22600;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22601 = 2;
        double r22602 = U;
        double r22603 = n;
        double r22604 = r22602 * r22603;
        double r22605 = r22601 * r22604;
        double r22606 = -8.579958025957668e-157;
        bool r22607 = r22605 <= r22606;
        double r22608 = r22601 * r22603;
        double r22609 = r22608 * r22602;
        double r22610 = t;
        double r22611 = l;
        double r22612 = r22611 * r22611;
        double r22613 = Om;
        double r22614 = r22612 / r22613;
        double r22615 = r22601 * r22614;
        double r22616 = r22610 - r22615;
        double r22617 = r22611 / r22613;
        double r22618 = pow(r22617, r22601);
        double r22619 = r22603 * r22618;
        double r22620 = U_;
        double r22621 = r22602 - r22620;
        double r22622 = r22619 * r22621;
        double r22623 = r22616 - r22622;
        double r22624 = r22609 * r22623;
        double r22625 = sqrt(r22624);
        double r22626 = sqrt(r22625);
        double r22627 = r22626 * r22626;
        double r22628 = 1.6894684148787722e-301;
        bool r22629 = r22605 <= r22628;
        double r22630 = r22613 / r22611;
        double r22631 = r22611 / r22630;
        double r22632 = r22601 * r22631;
        double r22633 = r22610 - r22632;
        double r22634 = r22613 / r22603;
        double r22635 = r22611 / r22634;
        double r22636 = cbrt(r22617);
        double r22637 = r22635 * r22636;
        double r22638 = pow(r22636, r22601);
        double r22639 = r22637 * r22638;
        double r22640 = r22639 * r22621;
        double r22641 = r22633 - r22640;
        double r22642 = r22602 * r22641;
        double r22643 = r22608 * r22642;
        double r22644 = sqrt(r22643);
        double r22645 = sqrt(r22609);
        double r22646 = r22633 - r22622;
        double r22647 = sqrt(r22646);
        double r22648 = r22645 * r22647;
        double r22649 = r22629 ? r22644 : r22648;
        double r22650 = r22607 ? r22627 : r22649;
        return r22650;
}

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 r22651, r22652, r22653, r22654, r22655, r22656, r22657, r22658, r22659, r22660, r22661, r22662, r22663, r22664, r22665, r22666, r22667, r22668, r22669, r22670, r22671;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22651, "2", 10, MPFR_RNDN);
        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(r22670);
        mpfr_init(r22671);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22652, n, MPFR_RNDN);
        mpfr_mul(r22653, r22651, r22652, MPFR_RNDN);
        mpfr_set_d(r22654, U, MPFR_RNDN);
        mpfr_mul(r22655, r22653, r22654, MPFR_RNDN);
        mpfr_set_d(r22656, t, MPFR_RNDN);
        mpfr_set_d(r22657, l, MPFR_RNDN);
        mpfr_mul(r22658, r22657, r22657, MPFR_RNDN);
        mpfr_set_d(r22659, Om, MPFR_RNDN);
        mpfr_div(r22660, r22658, r22659, MPFR_RNDN);
        mpfr_mul(r22661, r22651, r22660, MPFR_RNDN);
        mpfr_sub(r22662, r22656, r22661, MPFR_RNDN);
        mpfr_div(r22663, r22657, r22659, MPFR_RNDN);
        mpfr_pow(r22664, r22663, r22651, MPFR_RNDN);
        mpfr_mul(r22665, r22652, r22664, MPFR_RNDN);
        mpfr_set_d(r22666, U_, MPFR_RNDN);
        mpfr_sub(r22667, r22654, r22666, MPFR_RNDN);
        mpfr_mul(r22668, r22665, r22667, MPFR_RNDN);
        mpfr_sub(r22669, r22662, r22668, MPFR_RNDN);
        mpfr_mul(r22670, r22655, r22669, MPFR_RNDN);
        mpfr_sqrt(r22671, r22670, MPFR_RNDN);
        return mpfr_get_d(r22671, MPFR_RNDN);
}

static mpfr_t 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, r22713, r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22672, "2", 10, MPFR_RNDN);
        mpfr_init(r22673);
        mpfr_init(r22674);
        mpfr_init(r22675);
        mpfr_init(r22676);
        mpfr_init_set_str(r22677, "-8.579958025957668e-157", 10, MPFR_RNDN);
        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);
        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_set_str(r22699, "1.6894684148787722e-301", 10, MPFR_RNDN);
        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(r22716);
        mpfr_init(r22717);
        mpfr_init(r22718);
        mpfr_init(r22719);
        mpfr_init(r22720);
        mpfr_init(r22721);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22673, U, MPFR_RNDN);
        mpfr_set_d(r22674, n, MPFR_RNDN);
        mpfr_mul(r22675, r22673, r22674, MPFR_RNDN);
        mpfr_mul(r22676, r22672, r22675, MPFR_RNDN);
        ;
        mpfr_set_si(r22678, mpfr_cmp(r22676, r22677) <= 0, MPFR_RNDN);
        mpfr_mul(r22679, r22672, r22674, MPFR_RNDN);
        mpfr_mul(r22680, r22679, r22673, MPFR_RNDN);
        mpfr_set_d(r22681, t, MPFR_RNDN);
        mpfr_set_d(r22682, l, MPFR_RNDN);
        mpfr_mul(r22683, r22682, r22682, MPFR_RNDN);
        mpfr_set_d(r22684, Om, MPFR_RNDN);
        mpfr_div(r22685, r22683, r22684, MPFR_RNDN);
        mpfr_mul(r22686, r22672, r22685, MPFR_RNDN);
        mpfr_sub(r22687, r22681, r22686, MPFR_RNDN);
        mpfr_div(r22688, r22682, r22684, MPFR_RNDN);
        mpfr_pow(r22689, r22688, r22672, MPFR_RNDN);
        mpfr_mul(r22690, r22674, r22689, MPFR_RNDN);
        mpfr_set_d(r22691, U_, MPFR_RNDN);
        mpfr_sub(r22692, r22673, r22691, MPFR_RNDN);
        mpfr_mul(r22693, r22690, r22692, MPFR_RNDN);
        mpfr_sub(r22694, r22687, r22693, MPFR_RNDN);
        mpfr_mul(r22695, r22680, r22694, MPFR_RNDN);
        mpfr_sqrt(r22696, r22695, MPFR_RNDN);
        mpfr_sqrt(r22697, r22696, MPFR_RNDN);
        mpfr_mul(r22698, r22697, r22697, MPFR_RNDN);
        ;
        mpfr_set_si(r22700, mpfr_cmp(r22676, r22699) <= 0, MPFR_RNDN);
        mpfr_div(r22701, r22684, r22682, MPFR_RNDN);
        mpfr_div(r22702, r22682, r22701, MPFR_RNDN);
        mpfr_mul(r22703, r22672, r22702, MPFR_RNDN);
        mpfr_sub(r22704, r22681, r22703, MPFR_RNDN);
        mpfr_div(r22705, r22684, r22674, MPFR_RNDN);
        mpfr_div(r22706, r22682, r22705, MPFR_RNDN);
        mpfr_cbrt(r22707, r22688, MPFR_RNDN);
        mpfr_mul(r22708, r22706, r22707, MPFR_RNDN);
        mpfr_pow(r22709, r22707, r22672, MPFR_RNDN);
        mpfr_mul(r22710, r22708, r22709, MPFR_RNDN);
        mpfr_mul(r22711, r22710, r22692, MPFR_RNDN);
        mpfr_sub(r22712, r22704, r22711, MPFR_RNDN);
        mpfr_mul(r22713, r22673, r22712, MPFR_RNDN);
        mpfr_mul(r22714, r22679, r22713, MPFR_RNDN);
        mpfr_sqrt(r22715, r22714, MPFR_RNDN);
        mpfr_sqrt(r22716, r22680, MPFR_RNDN);
        mpfr_sub(r22717, r22704, r22693, MPFR_RNDN);
        mpfr_sqrt(r22718, r22717, MPFR_RNDN);
        mpfr_mul(r22719, r22716, r22718, MPFR_RNDN);
        if (mpfr_get_si(r22700, MPFR_RNDN)) { mpfr_set(r22720, r22715, MPFR_RNDN); } else { mpfr_set(r22720, r22719, MPFR_RNDN); };
        if (mpfr_get_si(r22678, MPFR_RNDN)) { mpfr_set(r22721, r22698, MPFR_RNDN); } else { mpfr_set(r22721, r22720, MPFR_RNDN); };
        return mpfr_get_d(r22721, MPFR_RNDN);
}

static mpfr_t 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, r22763, r22764, r22765, r22766, r22767, r22768, r22769, r22770, r22771;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22722, "2", 10, MPFR_RNDN);
        mpfr_init(r22723);
        mpfr_init(r22724);
        mpfr_init(r22725);
        mpfr_init(r22726);
        mpfr_init_set_str(r22727, "-8.579958025957668e-157", 10, MPFR_RNDN);
        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);
        mpfr_init(r22737);
        mpfr_init(r22738);
        mpfr_init(r22739);
        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_set_str(r22749, "1.6894684148787722e-301", 10, MPFR_RNDN);
        mpfr_init(r22750);
        mpfr_init(r22751);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init(r22754);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
        mpfr_init(r22758);
        mpfr_init(r22759);
        mpfr_init(r22760);
        mpfr_init(r22761);
        mpfr_init(r22762);
        mpfr_init(r22763);
        mpfr_init(r22764);
        mpfr_init(r22765);
        mpfr_init(r22766);
        mpfr_init(r22767);
        mpfr_init(r22768);
        mpfr_init(r22769);
        mpfr_init(r22770);
        mpfr_init(r22771);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22723, U, MPFR_RNDN);
        mpfr_set_d(r22724, n, MPFR_RNDN);
        mpfr_mul(r22725, r22723, r22724, MPFR_RNDN);
        mpfr_mul(r22726, r22722, r22725, MPFR_RNDN);
        ;
        mpfr_set_si(r22728, mpfr_cmp(r22726, r22727) <= 0, MPFR_RNDN);
        mpfr_mul(r22729, r22722, r22724, MPFR_RNDN);
        mpfr_mul(r22730, r22729, r22723, MPFR_RNDN);
        mpfr_set_d(r22731, t, MPFR_RNDN);
        mpfr_set_d(r22732, l, MPFR_RNDN);
        mpfr_mul(r22733, r22732, r22732, MPFR_RNDN);
        mpfr_set_d(r22734, Om, MPFR_RNDN);
        mpfr_div(r22735, r22733, r22734, MPFR_RNDN);
        mpfr_mul(r22736, r22722, r22735, MPFR_RNDN);
        mpfr_sub(r22737, r22731, r22736, MPFR_RNDN);
        mpfr_div(r22738, r22732, r22734, MPFR_RNDN);
        mpfr_pow(r22739, r22738, r22722, MPFR_RNDN);
        mpfr_mul(r22740, r22724, r22739, MPFR_RNDN);
        mpfr_set_d(r22741, U_, MPFR_RNDN);
        mpfr_sub(r22742, r22723, r22741, MPFR_RNDN);
        mpfr_mul(r22743, r22740, r22742, MPFR_RNDN);
        mpfr_sub(r22744, r22737, r22743, MPFR_RNDN);
        mpfr_mul(r22745, r22730, r22744, MPFR_RNDN);
        mpfr_sqrt(r22746, r22745, MPFR_RNDN);
        mpfr_sqrt(r22747, r22746, MPFR_RNDN);
        mpfr_mul(r22748, r22747, r22747, MPFR_RNDN);
        ;
        mpfr_set_si(r22750, mpfr_cmp(r22726, r22749) <= 0, MPFR_RNDN);
        mpfr_div(r22751, r22734, r22732, MPFR_RNDN);
        mpfr_div(r22752, r22732, r22751, MPFR_RNDN);
        mpfr_mul(r22753, r22722, r22752, MPFR_RNDN);
        mpfr_sub(r22754, r22731, r22753, MPFR_RNDN);
        mpfr_div(r22755, r22734, r22724, MPFR_RNDN);
        mpfr_div(r22756, r22732, r22755, MPFR_RNDN);
        mpfr_cbrt(r22757, r22738, MPFR_RNDN);
        mpfr_mul(r22758, r22756, r22757, MPFR_RNDN);
        mpfr_pow(r22759, r22757, r22722, MPFR_RNDN);
        mpfr_mul(r22760, r22758, r22759, MPFR_RNDN);
        mpfr_mul(r22761, r22760, r22742, MPFR_RNDN);
        mpfr_sub(r22762, r22754, r22761, MPFR_RNDN);
        mpfr_mul(r22763, r22723, r22762, MPFR_RNDN);
        mpfr_mul(r22764, r22729, r22763, MPFR_RNDN);
        mpfr_sqrt(r22765, r22764, MPFR_RNDN);
        mpfr_sqrt(r22766, r22730, MPFR_RNDN);
        mpfr_sub(r22767, r22754, r22743, MPFR_RNDN);
        mpfr_sqrt(r22768, r22767, MPFR_RNDN);
        mpfr_mul(r22769, r22766, r22768, MPFR_RNDN);
        if (mpfr_get_si(r22750, MPFR_RNDN)) { mpfr_set(r22770, r22765, MPFR_RNDN); } else { mpfr_set(r22770, r22769, MPFR_RNDN); };
        if (mpfr_get_si(r22728, MPFR_RNDN)) { mpfr_set(r22771, r22748, MPFR_RNDN); } else { mpfr_set(r22771, r22770, MPFR_RNDN); };
        return mpfr_get_d(r22771, MPFR_RNDN);
}