#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 r21604 = 2;
        float r21605 = n;
        float r21606 = r21604 * r21605;
        float r21607 = U;
        float r21608 = r21606 * r21607;
        float r21609 = t;
        float r21610 = l;
        float r21611 = r21610 * r21610;
        float r21612 = Om;
        float r21613 = r21611 / r21612;
        float r21614 = r21604 * r21613;
        float r21615 = r21609 - r21614;
        float r21616 = r21610 / r21612;
        float r21617 = pow(r21616, r21604);
        float r21618 = r21605 * r21617;
        float r21619 = U_;
        float r21620 = r21607 - r21619;
        float r21621 = r21618 * r21620;
        float r21622 = r21615 - r21621;
        float r21623 = r21608 * r21622;
        float r21624 = sqrt(r21623);
        return r21624;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21625 = 2;
        double r21626 = n;
        double r21627 = r21625 * r21626;
        double r21628 = U;
        double r21629 = r21627 * r21628;
        double r21630 = t;
        double r21631 = l;
        double r21632 = r21631 * r21631;
        double r21633 = Om;
        double r21634 = r21632 / r21633;
        double r21635 = r21625 * r21634;
        double r21636 = r21630 - r21635;
        double r21637 = r21631 / r21633;
        double r21638 = pow(r21637, r21625);
        double r21639 = r21626 * r21638;
        double r21640 = U_;
        double r21641 = r21628 - r21640;
        double r21642 = r21639 * r21641;
        double r21643 = r21636 - r21642;
        double r21644 = r21629 * r21643;
        double r21645 = sqrt(r21644);
        return r21645;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21646 = n;
        float r21647 = r21646 + r21646;
        float r21648 = U;
        float r21649 = r21647 * r21648;
        float r21650 = -2.2725228107140584e-171;
        bool r21651 = r21649 <= r21650;
        float r21652 = 2;
        float r21653 = r21652 * r21646;
        float r21654 = r21653 * r21648;
        float r21655 = t;
        float r21656 = l;
        float r21657 = Om;
        float r21658 = r21656 / r21657;
        float r21659 = r21646 * r21648;
        float r21660 = r21656 + r21656;
        float r21661 = fma(r21658, r21659, r21660);
        float r21662 = r21658 * r21661;
        float r21663 = r21655 - r21662;
        float r21664 = pow(r21658, r21652);
        float r21665 = r21646 * r21664;
        float r21666 = U_;
        float r21667 = -r21666;
        float r21668 = r21665 * r21667;
        float r21669 = r21663 - r21668;
        float r21670 = r21654 * r21669;
        float r21671 = sqrt(r21670);
        float r21672 = 4.9406564584125e-323;
        bool r21673 = r21649 <= r21672;
        float r21674 = r21667 * r21658;
        float r21675 = fma(r21674, r21646, r21661);
        float r21676 = r21658 * r21675;
        float r21677 = r21655 - r21676;
        float r21678 = r21677 * r21648;
        float r21679 = r21653 * r21678;
        float r21680 = sqrt(r21679);
        float r21681 = sqrt(r21654);
        float r21682 = r21657 / r21656;
        float r21683 = r21656 / r21682;
        float r21684 = r21652 * r21683;
        float r21685 = r21655 - r21684;
        float r21686 = r21648 - r21666;
        float r21687 = r21665 * r21686;
        float r21688 = r21685 - r21687;
        float r21689 = sqrt(r21688);
        float r21690 = r21681 * r21689;
        float r21691 = r21673 ? r21680 : r21690;
        float r21692 = r21651 ? r21671 : r21691;
        return r21692;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21693 = n;
        double r21694 = r21693 + r21693;
        double r21695 = U;
        double r21696 = r21694 * r21695;
        double r21697 = -2.2725228107140584e-171;
        bool r21698 = r21696 <= r21697;
        double r21699 = 2;
        double r21700 = r21699 * r21693;
        double r21701 = r21700 * r21695;
        double r21702 = t;
        double r21703 = l;
        double r21704 = Om;
        double r21705 = r21703 / r21704;
        double r21706 = r21693 * r21695;
        double r21707 = r21703 + r21703;
        double r21708 = fma(r21705, r21706, r21707);
        double r21709 = r21705 * r21708;
        double r21710 = r21702 - r21709;
        double r21711 = pow(r21705, r21699);
        double r21712 = r21693 * r21711;
        double r21713 = U_;
        double r21714 = -r21713;
        double r21715 = r21712 * r21714;
        double r21716 = r21710 - r21715;
        double r21717 = r21701 * r21716;
        double r21718 = sqrt(r21717);
        double r21719 = 4.9406564584125e-323;
        bool r21720 = r21696 <= r21719;
        double r21721 = r21714 * r21705;
        double r21722 = fma(r21721, r21693, r21708);
        double r21723 = r21705 * r21722;
        double r21724 = r21702 - r21723;
        double r21725 = r21724 * r21695;
        double r21726 = r21700 * r21725;
        double r21727 = sqrt(r21726);
        double r21728 = sqrt(r21701);
        double r21729 = r21704 / r21703;
        double r21730 = r21703 / r21729;
        double r21731 = r21699 * r21730;
        double r21732 = r21702 - r21731;
        double r21733 = r21695 - r21713;
        double r21734 = r21712 * r21733;
        double r21735 = r21732 - r21734;
        double r21736 = sqrt(r21735);
        double r21737 = r21728 * r21736;
        double r21738 = r21720 ? r21727 : r21737;
        double r21739 = r21698 ? r21718 : r21738;
        return r21739;
}

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 r21740, r21741, r21742, r21743, r21744, r21745, r21746, r21747, r21748, r21749, r21750, r21751, r21752, r21753, r21754, r21755, r21756, r21757, r21758, r21759, r21760;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21740, "2", 10, MPFR_RNDN);
        mpfr_init(r21741);
        mpfr_init(r21742);
        mpfr_init(r21743);
        mpfr_init(r21744);
        mpfr_init(r21745);
        mpfr_init(r21746);
        mpfr_init(r21747);
        mpfr_init(r21748);
        mpfr_init(r21749);
        mpfr_init(r21750);
        mpfr_init(r21751);
        mpfr_init(r21752);
        mpfr_init(r21753);
        mpfr_init(r21754);
        mpfr_init(r21755);
        mpfr_init(r21756);
        mpfr_init(r21757);
        mpfr_init(r21758);
        mpfr_init(r21759);
        mpfr_init(r21760);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21741, n, MPFR_RNDN);
        mpfr_mul(r21742, r21740, r21741, MPFR_RNDN);
        mpfr_set_d(r21743, U, MPFR_RNDN);
        mpfr_mul(r21744, r21742, r21743, MPFR_RNDN);
        mpfr_set_d(r21745, t, MPFR_RNDN);
        mpfr_set_d(r21746, l, MPFR_RNDN);
        mpfr_mul(r21747, r21746, r21746, MPFR_RNDN);
        mpfr_set_d(r21748, Om, MPFR_RNDN);
        mpfr_div(r21749, r21747, r21748, MPFR_RNDN);
        mpfr_mul(r21750, r21740, r21749, MPFR_RNDN);
        mpfr_sub(r21751, r21745, r21750, MPFR_RNDN);
        mpfr_div(r21752, r21746, r21748, MPFR_RNDN);
        mpfr_pow(r21753, r21752, r21740, MPFR_RNDN);
        mpfr_mul(r21754, r21741, r21753, MPFR_RNDN);
        mpfr_set_d(r21755, U_, MPFR_RNDN);
        mpfr_sub(r21756, r21743, r21755, MPFR_RNDN);
        mpfr_mul(r21757, r21754, r21756, MPFR_RNDN);
        mpfr_sub(r21758, r21751, r21757, MPFR_RNDN);
        mpfr_mul(r21759, r21744, r21758, MPFR_RNDN);
        mpfr_sqrt(r21760, r21759, MPFR_RNDN);
        return mpfr_get_d(r21760, MPFR_RNDN);
}

static mpfr_t r21761, r21762, r21763, r21764, r21765, r21766, r21767, r21768, r21769, r21770, r21771, r21772, r21773, r21774, r21775, r21776, r21777, r21778, r21779, r21780, r21781, r21782, r21783, r21784, r21785, r21786, r21787, r21788, r21789, r21790, r21791, r21792, r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803, r21804, r21805, r21806, r21807;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21761);
        mpfr_init(r21762);
        mpfr_init(r21763);
        mpfr_init(r21764);
        mpfr_init_set_str(r21765, "-2.2725228107140584e-171", 10, MPFR_RNDN);
        mpfr_init(r21766);
        mpfr_init_set_str(r21767, "2", 10, MPFR_RNDN);
        mpfr_init(r21768);
        mpfr_init(r21769);
        mpfr_init(r21770);
        mpfr_init(r21771);
        mpfr_init(r21772);
        mpfr_init(r21773);
        mpfr_init(r21774);
        mpfr_init(r21775);
        mpfr_init(r21776);
        mpfr_init(r21777);
        mpfr_init(r21778);
        mpfr_init(r21779);
        mpfr_init(r21780);
        mpfr_init(r21781);
        mpfr_init(r21782);
        mpfr_init(r21783);
        mpfr_init(r21784);
        mpfr_init(r21785);
        mpfr_init(r21786);
        mpfr_init_set_str(r21787, "4.9406564584125e-323", 10, MPFR_RNDN);
        mpfr_init(r21788);
        mpfr_init(r21789);
        mpfr_init(r21790);
        mpfr_init(r21791);
        mpfr_init(r21792);
        mpfr_init(r21793);
        mpfr_init(r21794);
        mpfr_init(r21795);
        mpfr_init(r21796);
        mpfr_init(r21797);
        mpfr_init(r21798);
        mpfr_init(r21799);
        mpfr_init(r21800);
        mpfr_init(r21801);
        mpfr_init(r21802);
        mpfr_init(r21803);
        mpfr_init(r21804);
        mpfr_init(r21805);
        mpfr_init(r21806);
        mpfr_init(r21807);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21761, n, MPFR_RNDN);
        mpfr_add(r21762, r21761, r21761, MPFR_RNDN);
        mpfr_set_d(r21763, U, MPFR_RNDN);
        mpfr_mul(r21764, r21762, r21763, MPFR_RNDN);
        ;
        mpfr_set_si(r21766, mpfr_cmp(r21764, r21765) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21768, r21767, r21761, MPFR_RNDN);
        mpfr_mul(r21769, r21768, r21763, MPFR_RNDN);
        mpfr_set_d(r21770, t, MPFR_RNDN);
        mpfr_set_d(r21771, l, MPFR_RNDN);
        mpfr_set_d(r21772, Om, MPFR_RNDN);
        mpfr_div(r21773, r21771, r21772, MPFR_RNDN);
        mpfr_mul(r21774, r21761, r21763, MPFR_RNDN);
        mpfr_add(r21775, r21771, r21771, MPFR_RNDN);
        mpfr_fma(r21776, r21773, r21774, r21775, MPFR_RNDN);
        mpfr_mul(r21777, r21773, r21776, MPFR_RNDN);
        mpfr_sub(r21778, r21770, r21777, MPFR_RNDN);
        mpfr_pow(r21779, r21773, r21767, MPFR_RNDN);
        mpfr_mul(r21780, r21761, r21779, MPFR_RNDN);
        mpfr_set_d(r21781, U_, MPFR_RNDN);
        mpfr_neg(r21782, r21781, MPFR_RNDN);
        mpfr_mul(r21783, r21780, r21782, MPFR_RNDN);
        mpfr_sub(r21784, r21778, r21783, MPFR_RNDN);
        mpfr_mul(r21785, r21769, r21784, MPFR_RNDN);
        mpfr_sqrt(r21786, r21785, MPFR_RNDN);
        ;
        mpfr_set_si(r21788, mpfr_cmp(r21764, r21787) <= 0, MPFR_RNDN);
        mpfr_mul(r21789, r21782, r21773, MPFR_RNDN);
        mpfr_fma(r21790, r21789, r21761, r21776, MPFR_RNDN);
        mpfr_mul(r21791, r21773, r21790, MPFR_RNDN);
        mpfr_sub(r21792, r21770, r21791, MPFR_RNDN);
        mpfr_mul(r21793, r21792, r21763, MPFR_RNDN);
        mpfr_mul(r21794, r21768, r21793, MPFR_RNDN);
        mpfr_sqrt(r21795, r21794, MPFR_RNDN);
        mpfr_sqrt(r21796, r21769, MPFR_RNDN);
        mpfr_div(r21797, r21772, r21771, MPFR_RNDN);
        mpfr_div(r21798, r21771, r21797, MPFR_RNDN);
        mpfr_mul(r21799, r21767, r21798, MPFR_RNDN);
        mpfr_sub(r21800, r21770, r21799, MPFR_RNDN);
        mpfr_sub(r21801, r21763, r21781, MPFR_RNDN);
        mpfr_mul(r21802, r21780, r21801, MPFR_RNDN);
        mpfr_sub(r21803, r21800, r21802, MPFR_RNDN);
        mpfr_sqrt(r21804, r21803, MPFR_RNDN);
        mpfr_mul(r21805, r21796, r21804, MPFR_RNDN);
        if (mpfr_get_si(r21788, MPFR_RNDN)) { mpfr_set(r21806, r21795, MPFR_RNDN); } else { mpfr_set(r21806, r21805, MPFR_RNDN); };
        if (mpfr_get_si(r21766, MPFR_RNDN)) { mpfr_set(r21807, r21786, MPFR_RNDN); } else { mpfr_set(r21807, r21806, MPFR_RNDN); };
        return mpfr_get_d(r21807, MPFR_RNDN);
}

static mpfr_t r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851, r21852, r21853, r21854;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21808);
        mpfr_init(r21809);
        mpfr_init(r21810);
        mpfr_init(r21811);
        mpfr_init_set_str(r21812, "-2.2725228107140584e-171", 10, MPFR_RNDN);
        mpfr_init(r21813);
        mpfr_init_set_str(r21814, "2", 10, MPFR_RNDN);
        mpfr_init(r21815);
        mpfr_init(r21816);
        mpfr_init(r21817);
        mpfr_init(r21818);
        mpfr_init(r21819);
        mpfr_init(r21820);
        mpfr_init(r21821);
        mpfr_init(r21822);
        mpfr_init(r21823);
        mpfr_init(r21824);
        mpfr_init(r21825);
        mpfr_init(r21826);
        mpfr_init(r21827);
        mpfr_init(r21828);
        mpfr_init(r21829);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init(r21833);
        mpfr_init_set_str(r21834, "4.9406564584125e-323", 10, MPFR_RNDN);
        mpfr_init(r21835);
        mpfr_init(r21836);
        mpfr_init(r21837);
        mpfr_init(r21838);
        mpfr_init(r21839);
        mpfr_init(r21840);
        mpfr_init(r21841);
        mpfr_init(r21842);
        mpfr_init(r21843);
        mpfr_init(r21844);
        mpfr_init(r21845);
        mpfr_init(r21846);
        mpfr_init(r21847);
        mpfr_init(r21848);
        mpfr_init(r21849);
        mpfr_init(r21850);
        mpfr_init(r21851);
        mpfr_init(r21852);
        mpfr_init(r21853);
        mpfr_init(r21854);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21808, n, MPFR_RNDN);
        mpfr_add(r21809, r21808, r21808, MPFR_RNDN);
        mpfr_set_d(r21810, U, MPFR_RNDN);
        mpfr_mul(r21811, r21809, r21810, MPFR_RNDN);
        ;
        mpfr_set_si(r21813, mpfr_cmp(r21811, r21812) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21815, r21814, r21808, MPFR_RNDN);
        mpfr_mul(r21816, r21815, r21810, MPFR_RNDN);
        mpfr_set_d(r21817, t, MPFR_RNDN);
        mpfr_set_d(r21818, l, MPFR_RNDN);
        mpfr_set_d(r21819, Om, MPFR_RNDN);
        mpfr_div(r21820, r21818, r21819, MPFR_RNDN);
        mpfr_mul(r21821, r21808, r21810, MPFR_RNDN);
        mpfr_add(r21822, r21818, r21818, MPFR_RNDN);
        mpfr_fma(r21823, r21820, r21821, r21822, MPFR_RNDN);
        mpfr_mul(r21824, r21820, r21823, MPFR_RNDN);
        mpfr_sub(r21825, r21817, r21824, MPFR_RNDN);
        mpfr_pow(r21826, r21820, r21814, MPFR_RNDN);
        mpfr_mul(r21827, r21808, r21826, MPFR_RNDN);
        mpfr_set_d(r21828, U_, MPFR_RNDN);
        mpfr_neg(r21829, r21828, MPFR_RNDN);
        mpfr_mul(r21830, r21827, r21829, MPFR_RNDN);
        mpfr_sub(r21831, r21825, r21830, MPFR_RNDN);
        mpfr_mul(r21832, r21816, r21831, MPFR_RNDN);
        mpfr_sqrt(r21833, r21832, MPFR_RNDN);
        ;
        mpfr_set_si(r21835, mpfr_cmp(r21811, r21834) <= 0, MPFR_RNDN);
        mpfr_mul(r21836, r21829, r21820, MPFR_RNDN);
        mpfr_fma(r21837, r21836, r21808, r21823, MPFR_RNDN);
        mpfr_mul(r21838, r21820, r21837, MPFR_RNDN);
        mpfr_sub(r21839, r21817, r21838, MPFR_RNDN);
        mpfr_mul(r21840, r21839, r21810, MPFR_RNDN);
        mpfr_mul(r21841, r21815, r21840, MPFR_RNDN);
        mpfr_sqrt(r21842, r21841, MPFR_RNDN);
        mpfr_sqrt(r21843, r21816, MPFR_RNDN);
        mpfr_div(r21844, r21819, r21818, MPFR_RNDN);
        mpfr_div(r21845, r21818, r21844, MPFR_RNDN);
        mpfr_mul(r21846, r21814, r21845, MPFR_RNDN);
        mpfr_sub(r21847, r21817, r21846, MPFR_RNDN);
        mpfr_sub(r21848, r21810, r21828, MPFR_RNDN);
        mpfr_mul(r21849, r21827, r21848, MPFR_RNDN);
        mpfr_sub(r21850, r21847, r21849, MPFR_RNDN);
        mpfr_sqrt(r21851, r21850, MPFR_RNDN);
        mpfr_mul(r21852, r21843, r21851, MPFR_RNDN);
        if (mpfr_get_si(r21835, MPFR_RNDN)) { mpfr_set(r21853, r21842, MPFR_RNDN); } else { mpfr_set(r21853, r21852, MPFR_RNDN); };
        if (mpfr_get_si(r21813, MPFR_RNDN)) { mpfr_set(r21854, r21833, MPFR_RNDN); } else { mpfr_set(r21854, r21853, MPFR_RNDN); };
        return mpfr_get_d(r21854, MPFR_RNDN);
}