#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 r22553 = 2;
        float r22554 = n;
        float r22555 = r22553 * r22554;
        float r22556 = U;
        float r22557 = r22555 * r22556;
        float r22558 = t;
        float r22559 = l;
        float r22560 = r22559 * r22559;
        float r22561 = Om;
        float r22562 = r22560 / r22561;
        float r22563 = r22553 * r22562;
        float r22564 = r22558 - r22563;
        float r22565 = r22559 / r22561;
        float r22566 = pow(r22565, r22553);
        float r22567 = r22554 * r22566;
        float r22568 = U_;
        float r22569 = r22556 - r22568;
        float r22570 = r22567 * r22569;
        float r22571 = r22564 - r22570;
        float r22572 = r22557 * r22571;
        float r22573 = sqrt(r22572);
        return r22573;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22574 = 2;
        double r22575 = n;
        double r22576 = r22574 * r22575;
        double r22577 = U;
        double r22578 = r22576 * r22577;
        double r22579 = t;
        double r22580 = l;
        double r22581 = r22580 * r22580;
        double r22582 = Om;
        double r22583 = r22581 / r22582;
        double r22584 = r22574 * r22583;
        double r22585 = r22579 - r22584;
        double r22586 = r22580 / r22582;
        double r22587 = pow(r22586, r22574);
        double r22588 = r22575 * r22587;
        double r22589 = U_;
        double r22590 = r22577 - r22589;
        double r22591 = r22588 * r22590;
        double r22592 = r22585 - r22591;
        double r22593 = r22578 * r22592;
        double r22594 = sqrt(r22593);
        return r22594;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22595 = n;
        float r22596 = 2;
        float r22597 = r22595 * r22596;
        float r22598 = U;
        float r22599 = r22597 * r22598;
        float r22600 = -2.1119896660084484e-156;
        bool r22601 = r22599 <= r22600;
        float r22602 = r22596 * r22595;
        float r22603 = r22602 * r22598;
        float r22604 = t;
        float r22605 = l;
        float r22606 = Om;
        float r22607 = r22606 / r22605;
        float r22608 = r22605 / r22607;
        float r22609 = r22596 * r22608;
        float r22610 = r22604 - r22609;
        float r22611 = r22605 / r22606;
        float r22612 = r22611 * r22595;
        float r22613 = U_;
        float r22614 = r22598 - r22613;
        float r22615 = r22614 * r22611;
        float r22616 = r22612 * r22615;
        float r22617 = 3;
        float r22618 = pow(r22616, r22617);
        float r22619 = cbrt(r22618);
        float r22620 = r22610 - r22619;
        float r22621 = r22603 * r22620;
        float r22622 = sqrt(r22621);
        float r22623 = 2.2359847760019876e-301;
        bool r22624 = r22599 <= r22623;
        float r22625 = r22606 / r22595;
        float r22626 = r22605 / r22625;
        float r22627 = cbrt(r22611);
        float r22628 = r22626 * r22627;
        float r22629 = pow(r22627, r22596);
        float r22630 = r22628 * r22629;
        float r22631 = r22630 * r22614;
        float r22632 = r22610 - r22631;
        float r22633 = r22598 * r22632;
        float r22634 = r22602 * r22633;
        float r22635 = sqrt(r22634);
        float r22636 = sqrt(r22603);
        float r22637 = pow(r22611, r22596);
        float r22638 = r22595 * r22637;
        float r22639 = r22638 * r22614;
        float r22640 = r22610 - r22639;
        float r22641 = sqrt(r22640);
        float r22642 = r22636 * r22641;
        float r22643 = r22624 ? r22635 : r22642;
        float r22644 = r22601 ? r22622 : r22643;
        return r22644;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22645 = n;
        double r22646 = 2;
        double r22647 = r22645 * r22646;
        double r22648 = U;
        double r22649 = r22647 * r22648;
        double r22650 = -2.1119896660084484e-156;
        bool r22651 = r22649 <= r22650;
        double r22652 = r22646 * r22645;
        double r22653 = r22652 * r22648;
        double r22654 = t;
        double r22655 = l;
        double r22656 = Om;
        double r22657 = r22656 / r22655;
        double r22658 = r22655 / r22657;
        double r22659 = r22646 * r22658;
        double r22660 = r22654 - r22659;
        double r22661 = r22655 / r22656;
        double r22662 = r22661 * r22645;
        double r22663 = U_;
        double r22664 = r22648 - r22663;
        double r22665 = r22664 * r22661;
        double r22666 = r22662 * r22665;
        double r22667 = 3;
        double r22668 = pow(r22666, r22667);
        double r22669 = cbrt(r22668);
        double r22670 = r22660 - r22669;
        double r22671 = r22653 * r22670;
        double r22672 = sqrt(r22671);
        double r22673 = 2.2359847760019876e-301;
        bool r22674 = r22649 <= r22673;
        double r22675 = r22656 / r22645;
        double r22676 = r22655 / r22675;
        double r22677 = cbrt(r22661);
        double r22678 = r22676 * r22677;
        double r22679 = pow(r22677, r22646);
        double r22680 = r22678 * r22679;
        double r22681 = r22680 * r22664;
        double r22682 = r22660 - r22681;
        double r22683 = r22648 * r22682;
        double r22684 = r22652 * r22683;
        double r22685 = sqrt(r22684);
        double r22686 = sqrt(r22653);
        double r22687 = pow(r22661, r22646);
        double r22688 = r22645 * r22687;
        double r22689 = r22688 * r22664;
        double r22690 = r22660 - r22689;
        double r22691 = sqrt(r22690);
        double r22692 = r22686 * r22691;
        double r22693 = r22674 ? r22685 : r22692;
        double r22694 = r22651 ? r22672 : r22693;
        return r22694;
}

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 r22695, r22696, r22697, r22698, r22699, r22700, r22701, r22702, r22703, r22704, r22705, r22706, r22707, r22708, r22709, r22710, r22711, r22712, r22713, r22714, r22715;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22695, "2", 10, MPFR_RNDN);
        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(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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22696, n, MPFR_RNDN);
        mpfr_mul(r22697, r22695, r22696, MPFR_RNDN);
        mpfr_set_d(r22698, U, MPFR_RNDN);
        mpfr_mul(r22699, r22697, r22698, MPFR_RNDN);
        mpfr_set_d(r22700, t, MPFR_RNDN);
        mpfr_set_d(r22701, l, MPFR_RNDN);
        mpfr_mul(r22702, r22701, r22701, MPFR_RNDN);
        mpfr_set_d(r22703, Om, MPFR_RNDN);
        mpfr_div(r22704, r22702, r22703, MPFR_RNDN);
        mpfr_mul(r22705, r22695, r22704, MPFR_RNDN);
        mpfr_sub(r22706, r22700, r22705, MPFR_RNDN);
        mpfr_div(r22707, r22701, r22703, MPFR_RNDN);
        mpfr_pow(r22708, r22707, r22695, MPFR_RNDN);
        mpfr_mul(r22709, r22696, r22708, MPFR_RNDN);
        mpfr_set_d(r22710, U_, MPFR_RNDN);
        mpfr_sub(r22711, r22698, 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);
        return mpfr_get_d(r22715, MPFR_RNDN);
}

static mpfr_t 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, r22763, r22764, r22765;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22716);
        mpfr_init_set_str(r22717, "2", 10, MPFR_RNDN);
        mpfr_init(r22718);
        mpfr_init(r22719);
        mpfr_init(r22720);
        mpfr_init_set_str(r22721, "-2.1119896660084484e-156", 10, MPFR_RNDN);
        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);
        mpfr_init(r22737);
        mpfr_init_set_str(r22738, "3", 10, MPFR_RNDN);
        mpfr_init(r22739);
        mpfr_init(r22740);
        mpfr_init(r22741);
        mpfr_init(r22742);
        mpfr_init(r22743);
        mpfr_init_set_str(r22744, "2.2359847760019876e-301", 10, MPFR_RNDN);
        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(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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22716, n, MPFR_RNDN);
        ;
        mpfr_mul(r22718, r22716, r22717, MPFR_RNDN);
        mpfr_set_d(r22719, U, MPFR_RNDN);
        mpfr_mul(r22720, r22718, r22719, MPFR_RNDN);
        ;
        mpfr_set_si(r22722, mpfr_cmp(r22720, r22721) <= 0, MPFR_RNDN);
        mpfr_mul(r22723, r22717, r22716, MPFR_RNDN);
        mpfr_mul(r22724, r22723, r22719, MPFR_RNDN);
        mpfr_set_d(r22725, t, MPFR_RNDN);
        mpfr_set_d(r22726, l, MPFR_RNDN);
        mpfr_set_d(r22727, Om, MPFR_RNDN);
        mpfr_div(r22728, r22727, r22726, MPFR_RNDN);
        mpfr_div(r22729, r22726, r22728, MPFR_RNDN);
        mpfr_mul(r22730, r22717, r22729, MPFR_RNDN);
        mpfr_sub(r22731, r22725, r22730, MPFR_RNDN);
        mpfr_div(r22732, r22726, r22727, MPFR_RNDN);
        mpfr_mul(r22733, r22732, r22716, MPFR_RNDN);
        mpfr_set_d(r22734, U_, MPFR_RNDN);
        mpfr_sub(r22735, r22719, r22734, MPFR_RNDN);
        mpfr_mul(r22736, r22735, r22732, MPFR_RNDN);
        mpfr_mul(r22737, r22733, r22736, MPFR_RNDN);
        ;
        mpfr_pow(r22739, r22737, r22738, MPFR_RNDN);
        mpfr_cbrt(r22740, r22739, MPFR_RNDN);
        mpfr_sub(r22741, r22731, r22740, MPFR_RNDN);
        mpfr_mul(r22742, r22724, r22741, MPFR_RNDN);
        mpfr_sqrt(r22743, r22742, MPFR_RNDN);
        ;
        mpfr_set_si(r22745, mpfr_cmp(r22720, r22744) <= 0, MPFR_RNDN);
        mpfr_div(r22746, r22727, r22716, MPFR_RNDN);
        mpfr_div(r22747, r22726, r22746, MPFR_RNDN);
        mpfr_cbrt(r22748, r22732, MPFR_RNDN);
        mpfr_mul(r22749, r22747, r22748, MPFR_RNDN);
        mpfr_pow(r22750, r22748, r22717, MPFR_RNDN);
        mpfr_mul(r22751, r22749, r22750, MPFR_RNDN);
        mpfr_mul(r22752, r22751, r22735, MPFR_RNDN);
        mpfr_sub(r22753, r22731, r22752, MPFR_RNDN);
        mpfr_mul(r22754, r22719, r22753, MPFR_RNDN);
        mpfr_mul(r22755, r22723, r22754, MPFR_RNDN);
        mpfr_sqrt(r22756, r22755, MPFR_RNDN);
        mpfr_sqrt(r22757, r22724, MPFR_RNDN);
        mpfr_pow(r22758, r22732, r22717, MPFR_RNDN);
        mpfr_mul(r22759, r22716, r22758, MPFR_RNDN);
        mpfr_mul(r22760, r22759, r22735, MPFR_RNDN);
        mpfr_sub(r22761, r22731, r22760, MPFR_RNDN);
        mpfr_sqrt(r22762, r22761, MPFR_RNDN);
        mpfr_mul(r22763, r22757, r22762, MPFR_RNDN);
        if (mpfr_get_si(r22745, MPFR_RNDN)) { mpfr_set(r22764, r22756, MPFR_RNDN); } else { mpfr_set(r22764, r22763, MPFR_RNDN); };
        if (mpfr_get_si(r22722, MPFR_RNDN)) { mpfr_set(r22765, r22743, MPFR_RNDN); } else { mpfr_set(r22765, r22764, MPFR_RNDN); };
        return mpfr_get_d(r22765, MPFR_RNDN);
}

static mpfr_t r22766, r22767, r22768, r22769, r22770, r22771, r22772, r22773, r22774, r22775, r22776, r22777, r22778, r22779, r22780, r22781, r22782, r22783, r22784, r22785, r22786, r22787, r22788, r22789, r22790, r22791, r22792, r22793, r22794, r22795, r22796, r22797, r22798, r22799, r22800, r22801, r22802, r22803, r22804, r22805, r22806, r22807, r22808, r22809, r22810, r22811, r22812, r22813, r22814, r22815;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22766);
        mpfr_init_set_str(r22767, "2", 10, MPFR_RNDN);
        mpfr_init(r22768);
        mpfr_init(r22769);
        mpfr_init(r22770);
        mpfr_init_set_str(r22771, "-2.1119896660084484e-156", 10, MPFR_RNDN);
        mpfr_init(r22772);
        mpfr_init(r22773);
        mpfr_init(r22774);
        mpfr_init(r22775);
        mpfr_init(r22776);
        mpfr_init(r22777);
        mpfr_init(r22778);
        mpfr_init(r22779);
        mpfr_init(r22780);
        mpfr_init(r22781);
        mpfr_init(r22782);
        mpfr_init(r22783);
        mpfr_init(r22784);
        mpfr_init(r22785);
        mpfr_init(r22786);
        mpfr_init(r22787);
        mpfr_init_set_str(r22788, "3", 10, MPFR_RNDN);
        mpfr_init(r22789);
        mpfr_init(r22790);
        mpfr_init(r22791);
        mpfr_init(r22792);
        mpfr_init(r22793);
        mpfr_init_set_str(r22794, "2.2359847760019876e-301", 10, MPFR_RNDN);
        mpfr_init(r22795);
        mpfr_init(r22796);
        mpfr_init(r22797);
        mpfr_init(r22798);
        mpfr_init(r22799);
        mpfr_init(r22800);
        mpfr_init(r22801);
        mpfr_init(r22802);
        mpfr_init(r22803);
        mpfr_init(r22804);
        mpfr_init(r22805);
        mpfr_init(r22806);
        mpfr_init(r22807);
        mpfr_init(r22808);
        mpfr_init(r22809);
        mpfr_init(r22810);
        mpfr_init(r22811);
        mpfr_init(r22812);
        mpfr_init(r22813);
        mpfr_init(r22814);
        mpfr_init(r22815);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22766, n, MPFR_RNDN);
        ;
        mpfr_mul(r22768, r22766, r22767, MPFR_RNDN);
        mpfr_set_d(r22769, U, MPFR_RNDN);
        mpfr_mul(r22770, r22768, r22769, MPFR_RNDN);
        ;
        mpfr_set_si(r22772, mpfr_cmp(r22770, r22771) <= 0, MPFR_RNDN);
        mpfr_mul(r22773, r22767, r22766, MPFR_RNDN);
        mpfr_mul(r22774, r22773, r22769, MPFR_RNDN);
        mpfr_set_d(r22775, t, MPFR_RNDN);
        mpfr_set_d(r22776, l, MPFR_RNDN);
        mpfr_set_d(r22777, Om, MPFR_RNDN);
        mpfr_div(r22778, r22777, r22776, MPFR_RNDN);
        mpfr_div(r22779, r22776, r22778, MPFR_RNDN);
        mpfr_mul(r22780, r22767, r22779, MPFR_RNDN);
        mpfr_sub(r22781, r22775, r22780, MPFR_RNDN);
        mpfr_div(r22782, r22776, r22777, MPFR_RNDN);
        mpfr_mul(r22783, r22782, r22766, MPFR_RNDN);
        mpfr_set_d(r22784, U_, MPFR_RNDN);
        mpfr_sub(r22785, r22769, r22784, MPFR_RNDN);
        mpfr_mul(r22786, r22785, r22782, MPFR_RNDN);
        mpfr_mul(r22787, r22783, r22786, MPFR_RNDN);
        ;
        mpfr_pow(r22789, r22787, r22788, MPFR_RNDN);
        mpfr_cbrt(r22790, r22789, MPFR_RNDN);
        mpfr_sub(r22791, r22781, r22790, MPFR_RNDN);
        mpfr_mul(r22792, r22774, r22791, MPFR_RNDN);
        mpfr_sqrt(r22793, r22792, MPFR_RNDN);
        ;
        mpfr_set_si(r22795, mpfr_cmp(r22770, r22794) <= 0, MPFR_RNDN);
        mpfr_div(r22796, r22777, r22766, MPFR_RNDN);
        mpfr_div(r22797, r22776, r22796, MPFR_RNDN);
        mpfr_cbrt(r22798, r22782, MPFR_RNDN);
        mpfr_mul(r22799, r22797, r22798, MPFR_RNDN);
        mpfr_pow(r22800, r22798, r22767, MPFR_RNDN);
        mpfr_mul(r22801, r22799, r22800, MPFR_RNDN);
        mpfr_mul(r22802, r22801, r22785, MPFR_RNDN);
        mpfr_sub(r22803, r22781, r22802, MPFR_RNDN);
        mpfr_mul(r22804, r22769, r22803, MPFR_RNDN);
        mpfr_mul(r22805, r22773, r22804, MPFR_RNDN);
        mpfr_sqrt(r22806, r22805, MPFR_RNDN);
        mpfr_sqrt(r22807, r22774, MPFR_RNDN);
        mpfr_pow(r22808, r22782, r22767, MPFR_RNDN);
        mpfr_mul(r22809, r22766, r22808, MPFR_RNDN);
        mpfr_mul(r22810, r22809, r22785, MPFR_RNDN);
        mpfr_sub(r22811, r22781, r22810, MPFR_RNDN);
        mpfr_sqrt(r22812, r22811, MPFR_RNDN);
        mpfr_mul(r22813, r22807, r22812, MPFR_RNDN);
        if (mpfr_get_si(r22795, MPFR_RNDN)) { mpfr_set(r22814, r22806, MPFR_RNDN); } else { mpfr_set(r22814, r22813, MPFR_RNDN); };
        if (mpfr_get_si(r22772, MPFR_RNDN)) { mpfr_set(r22815, r22793, MPFR_RNDN); } else { mpfr_set(r22815, r22814, MPFR_RNDN); };
        return mpfr_get_d(r22815, MPFR_RNDN);
}