#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 r22585 = 2;
        float r22586 = n;
        float r22587 = r22585 * r22586;
        float r22588 = U;
        float r22589 = r22587 * r22588;
        float r22590 = t;
        float r22591 = l;
        float r22592 = r22591 * r22591;
        float r22593 = Om;
        float r22594 = r22592 / r22593;
        float r22595 = r22585 * r22594;
        float r22596 = r22590 - r22595;
        float r22597 = r22591 / r22593;
        float r22598 = pow(r22597, r22585);
        float r22599 = r22586 * r22598;
        float r22600 = U_;
        float r22601 = r22588 - r22600;
        float r22602 = r22599 * r22601;
        float r22603 = r22596 - r22602;
        float r22604 = r22589 * r22603;
        float r22605 = sqrt(r22604);
        return r22605;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22606 = 2;
        double r22607 = n;
        double r22608 = r22606 * r22607;
        double r22609 = U;
        double r22610 = r22608 * r22609;
        double r22611 = t;
        double r22612 = l;
        double r22613 = r22612 * r22612;
        double r22614 = Om;
        double r22615 = r22613 / r22614;
        double r22616 = r22606 * r22615;
        double r22617 = r22611 - r22616;
        double r22618 = r22612 / r22614;
        double r22619 = pow(r22618, r22606);
        double r22620 = r22607 * r22619;
        double r22621 = U_;
        double r22622 = r22609 - r22621;
        double r22623 = r22620 * r22622;
        double r22624 = r22617 - r22623;
        double r22625 = r22610 * r22624;
        double r22626 = sqrt(r22625);
        return r22626;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22627 = n;
        float r22628 = 2;
        float r22629 = r22627 * r22628;
        float r22630 = U;
        float r22631 = r22629 * r22630;
        float r22632 = -4.223979330703491e-156;
        bool r22633 = r22631 <= r22632;
        float r22634 = r22628 * r22627;
        float r22635 = r22634 * r22630;
        float r22636 = t;
        float r22637 = l;
        float r22638 = Om;
        float r22639 = r22638 / r22637;
        float r22640 = r22637 / r22639;
        float r22641 = r22628 * r22640;
        float r22642 = r22636 - r22641;
        float r22643 = r22637 / r22638;
        float r22644 = r22643 * r22627;
        float r22645 = U_;
        float r22646 = r22630 - r22645;
        float r22647 = r22646 * r22643;
        float r22648 = r22644 * r22647;
        float r22649 = 3;
        float r22650 = pow(r22648, r22649);
        float r22651 = cbrt(r22650);
        float r22652 = r22642 - r22651;
        float r22653 = r22635 * r22652;
        float r22654 = sqrt(r22653);
        float r22655 = 2.2359847760019876e-301;
        bool r22656 = r22631 <= r22655;
        float r22657 = r22638 / r22627;
        float r22658 = r22637 / r22657;
        float r22659 = cbrt(r22643);
        float r22660 = r22658 * r22659;
        float r22661 = pow(r22659, r22628);
        float r22662 = r22660 * r22661;
        float r22663 = r22662 * r22646;
        float r22664 = r22642 - r22663;
        float r22665 = r22630 * r22664;
        float r22666 = r22634 * r22665;
        float r22667 = sqrt(r22666);
        float r22668 = sqrt(r22635);
        float r22669 = pow(r22643, r22628);
        float r22670 = r22627 * r22669;
        float r22671 = r22670 * r22646;
        float r22672 = r22642 - r22671;
        float r22673 = sqrt(r22672);
        float r22674 = r22668 * r22673;
        float r22675 = r22656 ? r22667 : r22674;
        float r22676 = r22633 ? r22654 : r22675;
        return r22676;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22677 = n;
        double r22678 = 2;
        double r22679 = r22677 * r22678;
        double r22680 = U;
        double r22681 = r22679 * r22680;
        double r22682 = -4.223979330703491e-156;
        bool r22683 = r22681 <= r22682;
        double r22684 = r22678 * r22677;
        double r22685 = r22684 * r22680;
        double r22686 = t;
        double r22687 = l;
        double r22688 = Om;
        double r22689 = r22688 / r22687;
        double r22690 = r22687 / r22689;
        double r22691 = r22678 * r22690;
        double r22692 = r22686 - r22691;
        double r22693 = r22687 / r22688;
        double r22694 = r22693 * r22677;
        double r22695 = U_;
        double r22696 = r22680 - r22695;
        double r22697 = r22696 * r22693;
        double r22698 = r22694 * r22697;
        double r22699 = 3;
        double r22700 = pow(r22698, r22699);
        double r22701 = cbrt(r22700);
        double r22702 = r22692 - r22701;
        double r22703 = r22685 * r22702;
        double r22704 = sqrt(r22703);
        double r22705 = 2.2359847760019876e-301;
        bool r22706 = r22681 <= r22705;
        double r22707 = r22688 / r22677;
        double r22708 = r22687 / r22707;
        double r22709 = cbrt(r22693);
        double r22710 = r22708 * r22709;
        double r22711 = pow(r22709, r22678);
        double r22712 = r22710 * r22711;
        double r22713 = r22712 * r22696;
        double r22714 = r22692 - r22713;
        double r22715 = r22680 * r22714;
        double r22716 = r22684 * r22715;
        double r22717 = sqrt(r22716);
        double r22718 = sqrt(r22685);
        double r22719 = pow(r22693, r22678);
        double r22720 = r22677 * r22719;
        double r22721 = r22720 * r22696;
        double r22722 = r22692 - r22721;
        double r22723 = sqrt(r22722);
        double r22724 = r22718 * r22723;
        double r22725 = r22706 ? r22717 : r22724;
        double r22726 = r22683 ? r22704 : r22725;
        return r22726;
}

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 r22727, r22728, r22729, r22730, r22731, r22732, r22733, r22734, r22735, r22736, r22737, r22738, r22739, r22740, r22741, r22742, r22743, r22744, r22745, r22746, r22747;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22727, "2", 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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22728, n, MPFR_RNDN);
        mpfr_mul(r22729, r22727, r22728, MPFR_RNDN);
        mpfr_set_d(r22730, U, MPFR_RNDN);
        mpfr_mul(r22731, r22729, r22730, MPFR_RNDN);
        mpfr_set_d(r22732, t, MPFR_RNDN);
        mpfr_set_d(r22733, l, MPFR_RNDN);
        mpfr_mul(r22734, r22733, r22733, MPFR_RNDN);
        mpfr_set_d(r22735, Om, MPFR_RNDN);
        mpfr_div(r22736, r22734, r22735, MPFR_RNDN);
        mpfr_mul(r22737, r22727, r22736, MPFR_RNDN);
        mpfr_sub(r22738, r22732, r22737, MPFR_RNDN);
        mpfr_div(r22739, r22733, r22735, MPFR_RNDN);
        mpfr_pow(r22740, r22739, r22727, MPFR_RNDN);
        mpfr_mul(r22741, r22728, r22740, MPFR_RNDN);
        mpfr_set_d(r22742, U_, MPFR_RNDN);
        mpfr_sub(r22743, r22730, r22742, MPFR_RNDN);
        mpfr_mul(r22744, r22741, r22743, MPFR_RNDN);
        mpfr_sub(r22745, r22738, r22744, MPFR_RNDN);
        mpfr_mul(r22746, r22731, r22745, MPFR_RNDN);
        mpfr_sqrt(r22747, r22746, MPFR_RNDN);
        return mpfr_get_d(r22747, MPFR_RNDN);
}

static mpfr_t r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760, r22761, r22762, r22763, r22764, r22765, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22748);
        mpfr_init_set_str(r22749, "2", 10, MPFR_RNDN);
        mpfr_init(r22750);
        mpfr_init(r22751);
        mpfr_init(r22752);
        mpfr_init_set_str(r22753, "-4.223979330703491e-156", 10, MPFR_RNDN);
        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_set_str(r22770, "3", 10, MPFR_RNDN);
        mpfr_init(r22771);
        mpfr_init(r22772);
        mpfr_init(r22773);
        mpfr_init(r22774);
        mpfr_init(r22775);
        mpfr_init_set_str(r22776, "2.2359847760019876e-301", 10, MPFR_RNDN);
        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(r22788);
        mpfr_init(r22789);
        mpfr_init(r22790);
        mpfr_init(r22791);
        mpfr_init(r22792);
        mpfr_init(r22793);
        mpfr_init(r22794);
        mpfr_init(r22795);
        mpfr_init(r22796);
        mpfr_init(r22797);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22748, n, MPFR_RNDN);
        ;
        mpfr_mul(r22750, r22748, r22749, MPFR_RNDN);
        mpfr_set_d(r22751, U, MPFR_RNDN);
        mpfr_mul(r22752, r22750, r22751, MPFR_RNDN);
        ;
        mpfr_set_si(r22754, mpfr_cmp(r22752, r22753) <= 0, MPFR_RNDN);
        mpfr_mul(r22755, r22749, r22748, MPFR_RNDN);
        mpfr_mul(r22756, r22755, r22751, MPFR_RNDN);
        mpfr_set_d(r22757, t, MPFR_RNDN);
        mpfr_set_d(r22758, l, MPFR_RNDN);
        mpfr_set_d(r22759, Om, MPFR_RNDN);
        mpfr_div(r22760, r22759, r22758, MPFR_RNDN);
        mpfr_div(r22761, r22758, r22760, MPFR_RNDN);
        mpfr_mul(r22762, r22749, r22761, MPFR_RNDN);
        mpfr_sub(r22763, r22757, r22762, MPFR_RNDN);
        mpfr_div(r22764, r22758, r22759, MPFR_RNDN);
        mpfr_mul(r22765, r22764, r22748, MPFR_RNDN);
        mpfr_set_d(r22766, U_, MPFR_RNDN);
        mpfr_sub(r22767, r22751, r22766, MPFR_RNDN);
        mpfr_mul(r22768, r22767, r22764, MPFR_RNDN);
        mpfr_mul(r22769, r22765, r22768, MPFR_RNDN);
        ;
        mpfr_pow(r22771, r22769, r22770, MPFR_RNDN);
        mpfr_cbrt(r22772, r22771, MPFR_RNDN);
        mpfr_sub(r22773, r22763, r22772, MPFR_RNDN);
        mpfr_mul(r22774, r22756, r22773, MPFR_RNDN);
        mpfr_sqrt(r22775, r22774, MPFR_RNDN);
        ;
        mpfr_set_si(r22777, mpfr_cmp(r22752, r22776) <= 0, MPFR_RNDN);
        mpfr_div(r22778, r22759, r22748, MPFR_RNDN);
        mpfr_div(r22779, r22758, r22778, MPFR_RNDN);
        mpfr_cbrt(r22780, r22764, MPFR_RNDN);
        mpfr_mul(r22781, r22779, r22780, MPFR_RNDN);
        mpfr_pow(r22782, r22780, r22749, MPFR_RNDN);
        mpfr_mul(r22783, r22781, r22782, MPFR_RNDN);
        mpfr_mul(r22784, r22783, r22767, MPFR_RNDN);
        mpfr_sub(r22785, r22763, r22784, MPFR_RNDN);
        mpfr_mul(r22786, r22751, r22785, MPFR_RNDN);
        mpfr_mul(r22787, r22755, r22786, MPFR_RNDN);
        mpfr_sqrt(r22788, r22787, MPFR_RNDN);
        mpfr_sqrt(r22789, r22756, MPFR_RNDN);
        mpfr_pow(r22790, r22764, r22749, MPFR_RNDN);
        mpfr_mul(r22791, r22748, r22790, MPFR_RNDN);
        mpfr_mul(r22792, r22791, r22767, MPFR_RNDN);
        mpfr_sub(r22793, r22763, r22792, MPFR_RNDN);
        mpfr_sqrt(r22794, r22793, MPFR_RNDN);
        mpfr_mul(r22795, r22789, r22794, MPFR_RNDN);
        if (mpfr_get_si(r22777, MPFR_RNDN)) { mpfr_set(r22796, r22788, MPFR_RNDN); } else { mpfr_set(r22796, r22795, MPFR_RNDN); };
        if (mpfr_get_si(r22754, MPFR_RNDN)) { mpfr_set(r22797, r22775, MPFR_RNDN); } else { mpfr_set(r22797, r22796, MPFR_RNDN); };
        return mpfr_get_d(r22797, MPFR_RNDN);
}

static mpfr_t r22798, r22799, r22800, r22801, r22802, r22803, r22804, r22805, r22806, r22807, r22808, r22809, r22810, r22811, r22812, r22813, r22814, r22815, r22816, r22817, r22818, r22819, r22820, r22821, r22822, r22823, r22824, r22825, r22826, r22827, r22828, r22829, r22830, r22831, r22832, r22833, r22834, r22835, r22836, r22837, r22838, r22839, r22840, r22841, r22842, r22843, r22844, r22845, r22846, r22847;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22798);
        mpfr_init_set_str(r22799, "2", 10, MPFR_RNDN);
        mpfr_init(r22800);
        mpfr_init(r22801);
        mpfr_init(r22802);
        mpfr_init_set_str(r22803, "-4.223979330703491e-156", 10, MPFR_RNDN);
        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);
        mpfr_init(r22816);
        mpfr_init(r22817);
        mpfr_init(r22818);
        mpfr_init(r22819);
        mpfr_init_set_str(r22820, "3", 10, MPFR_RNDN);
        mpfr_init(r22821);
        mpfr_init(r22822);
        mpfr_init(r22823);
        mpfr_init(r22824);
        mpfr_init(r22825);
        mpfr_init_set_str(r22826, "2.2359847760019876e-301", 10, MPFR_RNDN);
        mpfr_init(r22827);
        mpfr_init(r22828);
        mpfr_init(r22829);
        mpfr_init(r22830);
        mpfr_init(r22831);
        mpfr_init(r22832);
        mpfr_init(r22833);
        mpfr_init(r22834);
        mpfr_init(r22835);
        mpfr_init(r22836);
        mpfr_init(r22837);
        mpfr_init(r22838);
        mpfr_init(r22839);
        mpfr_init(r22840);
        mpfr_init(r22841);
        mpfr_init(r22842);
        mpfr_init(r22843);
        mpfr_init(r22844);
        mpfr_init(r22845);
        mpfr_init(r22846);
        mpfr_init(r22847);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22798, n, MPFR_RNDN);
        ;
        mpfr_mul(r22800, r22798, r22799, MPFR_RNDN);
        mpfr_set_d(r22801, U, MPFR_RNDN);
        mpfr_mul(r22802, r22800, r22801, MPFR_RNDN);
        ;
        mpfr_set_si(r22804, mpfr_cmp(r22802, r22803) <= 0, MPFR_RNDN);
        mpfr_mul(r22805, r22799, r22798, MPFR_RNDN);
        mpfr_mul(r22806, r22805, r22801, MPFR_RNDN);
        mpfr_set_d(r22807, t, MPFR_RNDN);
        mpfr_set_d(r22808, l, MPFR_RNDN);
        mpfr_set_d(r22809, Om, MPFR_RNDN);
        mpfr_div(r22810, r22809, r22808, MPFR_RNDN);
        mpfr_div(r22811, r22808, r22810, MPFR_RNDN);
        mpfr_mul(r22812, r22799, r22811, MPFR_RNDN);
        mpfr_sub(r22813, r22807, r22812, MPFR_RNDN);
        mpfr_div(r22814, r22808, r22809, MPFR_RNDN);
        mpfr_mul(r22815, r22814, r22798, MPFR_RNDN);
        mpfr_set_d(r22816, U_, MPFR_RNDN);
        mpfr_sub(r22817, r22801, r22816, MPFR_RNDN);
        mpfr_mul(r22818, r22817, r22814, MPFR_RNDN);
        mpfr_mul(r22819, r22815, r22818, MPFR_RNDN);
        ;
        mpfr_pow(r22821, r22819, r22820, MPFR_RNDN);
        mpfr_cbrt(r22822, r22821, MPFR_RNDN);
        mpfr_sub(r22823, r22813, r22822, MPFR_RNDN);
        mpfr_mul(r22824, r22806, r22823, MPFR_RNDN);
        mpfr_sqrt(r22825, r22824, MPFR_RNDN);
        ;
        mpfr_set_si(r22827, mpfr_cmp(r22802, r22826) <= 0, MPFR_RNDN);
        mpfr_div(r22828, r22809, r22798, MPFR_RNDN);
        mpfr_div(r22829, r22808, r22828, MPFR_RNDN);
        mpfr_cbrt(r22830, r22814, MPFR_RNDN);
        mpfr_mul(r22831, r22829, r22830, MPFR_RNDN);
        mpfr_pow(r22832, r22830, r22799, MPFR_RNDN);
        mpfr_mul(r22833, r22831, r22832, MPFR_RNDN);
        mpfr_mul(r22834, r22833, r22817, MPFR_RNDN);
        mpfr_sub(r22835, r22813, r22834, MPFR_RNDN);
        mpfr_mul(r22836, r22801, r22835, MPFR_RNDN);
        mpfr_mul(r22837, r22805, r22836, MPFR_RNDN);
        mpfr_sqrt(r22838, r22837, MPFR_RNDN);
        mpfr_sqrt(r22839, r22806, MPFR_RNDN);
        mpfr_pow(r22840, r22814, r22799, MPFR_RNDN);
        mpfr_mul(r22841, r22798, r22840, MPFR_RNDN);
        mpfr_mul(r22842, r22841, r22817, MPFR_RNDN);
        mpfr_sub(r22843, r22813, r22842, MPFR_RNDN);
        mpfr_sqrt(r22844, r22843, MPFR_RNDN);
        mpfr_mul(r22845, r22839, r22844, MPFR_RNDN);
        if (mpfr_get_si(r22827, MPFR_RNDN)) { mpfr_set(r22846, r22838, MPFR_RNDN); } else { mpfr_set(r22846, r22845, MPFR_RNDN); };
        if (mpfr_get_si(r22804, MPFR_RNDN)) { mpfr_set(r22847, r22825, MPFR_RNDN); } else { mpfr_set(r22847, r22846, MPFR_RNDN); };
        return mpfr_get_d(r22847, MPFR_RNDN);
}