#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 r21641 = 2;
        float r21642 = n;
        float r21643 = r21641 * r21642;
        float r21644 = U;
        float r21645 = r21643 * r21644;
        float r21646 = t;
        float r21647 = l;
        float r21648 = r21647 * r21647;
        float r21649 = Om;
        float r21650 = r21648 / r21649;
        float r21651 = r21641 * r21650;
        float r21652 = r21646 - r21651;
        float r21653 = r21647 / r21649;
        float r21654 = pow(r21653, r21641);
        float r21655 = r21642 * r21654;
        float r21656 = U_;
        float r21657 = r21644 - r21656;
        float r21658 = r21655 * r21657;
        float r21659 = r21652 - r21658;
        float r21660 = r21645 * r21659;
        float r21661 = sqrt(r21660);
        return r21661;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21662 = 2;
        double r21663 = n;
        double r21664 = r21662 * r21663;
        double r21665 = U;
        double r21666 = r21664 * r21665;
        double r21667 = t;
        double r21668 = l;
        double r21669 = r21668 * r21668;
        double r21670 = Om;
        double r21671 = r21669 / r21670;
        double r21672 = r21662 * r21671;
        double r21673 = r21667 - r21672;
        double r21674 = r21668 / r21670;
        double r21675 = pow(r21674, r21662);
        double r21676 = r21663 * r21675;
        double r21677 = U_;
        double r21678 = r21665 - r21677;
        double r21679 = r21676 * r21678;
        double r21680 = r21673 - r21679;
        double r21681 = r21666 * r21680;
        double r21682 = sqrt(r21681);
        return r21682;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21683 = n;
        float r21684 = r21683 + r21683;
        float r21685 = U;
        float r21686 = t;
        float r21687 = l;
        float r21688 = r21687 + r21687;
        float r21689 = Om;
        float r21690 = r21689 / r21687;
        float r21691 = r21688 / r21690;
        float r21692 = r21686 - r21691;
        float r21693 = r21685 * r21692;
        float r21694 = r21684 * r21693;
        float r21695 = 0.0;
        bool r21696 = r21694 <= r21695;
        float r21697 = 2;
        float r21698 = r21697 * r21683;
        float r21699 = r21698 * r21685;
        float r21700 = sqrt(r21699);
        float r21701 = r21687 * r21687;
        float r21702 = r21701 / r21689;
        float r21703 = r21697 * r21702;
        float r21704 = r21686 - r21703;
        float r21705 = r21687 / r21689;
        float r21706 = pow(r21705, r21697);
        float r21707 = r21683 * r21706;
        float r21708 = U_;
        float r21709 = r21685 - r21708;
        float r21710 = r21707 * r21709;
        float r21711 = r21704 - r21710;
        float r21712 = sqrt(r21711);
        float r21713 = r21700 * r21712;
        float r21714 = 1.5884791245037e+244;
        bool r21715 = r21694 <= r21714;
        float r21716 = 1/2;
        float r21717 = pow(r21694, r21716);
        float r21718 = r21685 * r21683;
        float r21719 = r21686 + r21686;
        float r21720 = r21718 * r21719;
        float r21721 = 4;
        float r21722 = r21687 * r21721;
        float r21723 = 1;
        float r21724 = r21723 / r21683;
        float r21725 = r21689 / r21685;
        float r21726 = r21725 / r21687;
        float r21727 = r21724 * r21726;
        float r21728 = r21722 / r21727;
        float r21729 = r21720 - r21728;
        float r21730 = sqrt(r21729);
        float r21731 = r21715 ? r21717 : r21730;
        float r21732 = r21696 ? r21713 : r21731;
        return r21732;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21733 = n;
        double r21734 = r21733 + r21733;
        double r21735 = U;
        double r21736 = t;
        double r21737 = l;
        double r21738 = r21737 + r21737;
        double r21739 = Om;
        double r21740 = r21739 / r21737;
        double r21741 = r21738 / r21740;
        double r21742 = r21736 - r21741;
        double r21743 = r21735 * r21742;
        double r21744 = r21734 * r21743;
        double r21745 = 0.0;
        bool r21746 = r21744 <= r21745;
        double r21747 = 2;
        double r21748 = r21747 * r21733;
        double r21749 = r21748 * r21735;
        double r21750 = sqrt(r21749);
        double r21751 = r21737 * r21737;
        double r21752 = r21751 / r21739;
        double r21753 = r21747 * r21752;
        double r21754 = r21736 - r21753;
        double r21755 = r21737 / r21739;
        double r21756 = pow(r21755, r21747);
        double r21757 = r21733 * r21756;
        double r21758 = U_;
        double r21759 = r21735 - r21758;
        double r21760 = r21757 * r21759;
        double r21761 = r21754 - r21760;
        double r21762 = sqrt(r21761);
        double r21763 = r21750 * r21762;
        double r21764 = 1.5884791245037e+244;
        bool r21765 = r21744 <= r21764;
        double r21766 = 1/2;
        double r21767 = pow(r21744, r21766);
        double r21768 = r21735 * r21733;
        double r21769 = r21736 + r21736;
        double r21770 = r21768 * r21769;
        double r21771 = 4;
        double r21772 = r21737 * r21771;
        double r21773 = 1;
        double r21774 = r21773 / r21733;
        double r21775 = r21739 / r21735;
        double r21776 = r21775 / r21737;
        double r21777 = r21774 * r21776;
        double r21778 = r21772 / r21777;
        double r21779 = r21770 - r21778;
        double r21780 = sqrt(r21779);
        double r21781 = r21765 ? r21767 : r21780;
        double r21782 = r21746 ? r21763 : r21781;
        return r21782;
}

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 r21783, r21784, r21785, r21786, r21787, r21788, r21789, r21790, r21791, r21792, r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21783, "2", 10, MPFR_RNDN);
        mpfr_init(r21784);
        mpfr_init(r21785);
        mpfr_init(r21786);
        mpfr_init(r21787);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21784, n, MPFR_RNDN);
        mpfr_mul(r21785, r21783, r21784, MPFR_RNDN);
        mpfr_set_d(r21786, U, MPFR_RNDN);
        mpfr_mul(r21787, r21785, r21786, MPFR_RNDN);
        mpfr_set_d(r21788, t, MPFR_RNDN);
        mpfr_set_d(r21789, l, MPFR_RNDN);
        mpfr_mul(r21790, r21789, r21789, MPFR_RNDN);
        mpfr_set_d(r21791, Om, MPFR_RNDN);
        mpfr_div(r21792, r21790, r21791, MPFR_RNDN);
        mpfr_mul(r21793, r21783, r21792, MPFR_RNDN);
        mpfr_sub(r21794, r21788, r21793, MPFR_RNDN);
        mpfr_div(r21795, r21789, r21791, MPFR_RNDN);
        mpfr_pow(r21796, r21795, r21783, MPFR_RNDN);
        mpfr_mul(r21797, r21784, r21796, MPFR_RNDN);
        mpfr_set_d(r21798, U_, MPFR_RNDN);
        mpfr_sub(r21799, r21786, r21798, MPFR_RNDN);
        mpfr_mul(r21800, r21797, r21799, MPFR_RNDN);
        mpfr_sub(r21801, r21794, r21800, MPFR_RNDN);
        mpfr_mul(r21802, r21787, r21801, MPFR_RNDN);
        mpfr_sqrt(r21803, r21802, MPFR_RNDN);
        return mpfr_get_d(r21803, MPFR_RNDN);
}

static mpfr_t r21804, r21805, r21806, r21807, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21804);
        mpfr_init(r21805);
        mpfr_init(r21806);
        mpfr_init(r21807);
        mpfr_init(r21808);
        mpfr_init(r21809);
        mpfr_init(r21810);
        mpfr_init(r21811);
        mpfr_init(r21812);
        mpfr_init(r21813);
        mpfr_init(r21814);
        mpfr_init(r21815);
        mpfr_init_set_str(r21816, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21817);
        mpfr_init_set_str(r21818, "2", 10, MPFR_RNDN);
        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(r21834);
        mpfr_init_set_str(r21835, "1.5884791245037e+244", 10, MPFR_RNDN);
        mpfr_init(r21836);
        mpfr_init_set_str(r21837, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21838);
        mpfr_init(r21839);
        mpfr_init(r21840);
        mpfr_init(r21841);
        mpfr_init_set_str(r21842, "4", 10, MPFR_RNDN);
        mpfr_init(r21843);
        mpfr_init_set_str(r21844, "1", 10, MPFR_RNDN);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21804, n, MPFR_RNDN);
        mpfr_add(r21805, r21804, r21804, MPFR_RNDN);
        mpfr_set_d(r21806, U, MPFR_RNDN);
        mpfr_set_d(r21807, t, MPFR_RNDN);
        mpfr_set_d(r21808, l, MPFR_RNDN);
        mpfr_add(r21809, r21808, r21808, MPFR_RNDN);
        mpfr_set_d(r21810, Om, MPFR_RNDN);
        mpfr_div(r21811, r21810, r21808, MPFR_RNDN);
        mpfr_div(r21812, r21809, r21811, MPFR_RNDN);
        mpfr_sub(r21813, r21807, r21812, MPFR_RNDN);
        mpfr_mul(r21814, r21806, r21813, MPFR_RNDN);
        mpfr_mul(r21815, r21805, r21814, MPFR_RNDN);
        ;
        mpfr_set_si(r21817, mpfr_cmp(r21815, r21816) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21819, r21818, r21804, MPFR_RNDN);
        mpfr_mul(r21820, r21819, r21806, MPFR_RNDN);
        mpfr_sqrt(r21821, r21820, MPFR_RNDN);
        mpfr_mul(r21822, r21808, r21808, MPFR_RNDN);
        mpfr_div(r21823, r21822, r21810, MPFR_RNDN);
        mpfr_mul(r21824, r21818, r21823, MPFR_RNDN);
        mpfr_sub(r21825, r21807, r21824, MPFR_RNDN);
        mpfr_div(r21826, r21808, r21810, MPFR_RNDN);
        mpfr_pow(r21827, r21826, r21818, MPFR_RNDN);
        mpfr_mul(r21828, r21804, r21827, MPFR_RNDN);
        mpfr_set_d(r21829, U_, MPFR_RNDN);
        mpfr_sub(r21830, r21806, r21829, MPFR_RNDN);
        mpfr_mul(r21831, r21828, r21830, MPFR_RNDN);
        mpfr_sub(r21832, r21825, r21831, MPFR_RNDN);
        mpfr_sqrt(r21833, r21832, MPFR_RNDN);
        mpfr_mul(r21834, r21821, r21833, MPFR_RNDN);
        ;
        mpfr_set_si(r21836, mpfr_cmp(r21815, r21835) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r21838, r21815, r21837, MPFR_RNDN);
        mpfr_mul(r21839, r21806, r21804, MPFR_RNDN);
        mpfr_add(r21840, r21807, r21807, MPFR_RNDN);
        mpfr_mul(r21841, r21839, r21840, MPFR_RNDN);
        ;
        mpfr_mul(r21843, r21808, r21842, MPFR_RNDN);
        ;
        mpfr_div(r21845, r21844, r21804, MPFR_RNDN);
        mpfr_div(r21846, r21810, r21806, MPFR_RNDN);
        mpfr_div(r21847, r21846, r21808, MPFR_RNDN);
        mpfr_mul(r21848, r21845, r21847, MPFR_RNDN);
        mpfr_div(r21849, r21843, r21848, MPFR_RNDN);
        mpfr_sub(r21850, r21841, r21849, MPFR_RNDN);
        mpfr_sqrt(r21851, r21850, MPFR_RNDN);
        if (mpfr_get_si(r21836, MPFR_RNDN)) { mpfr_set(r21852, r21838, MPFR_RNDN); } else { mpfr_set(r21852, r21851, MPFR_RNDN); };
        if (mpfr_get_si(r21817, MPFR_RNDN)) { mpfr_set(r21853, r21834, MPFR_RNDN); } else { mpfr_set(r21853, r21852, MPFR_RNDN); };
        return mpfr_get_d(r21853, MPFR_RNDN);
}

static mpfr_t r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883, r21884, r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892, r21893, r21894, r21895, r21896, r21897, r21898, r21899, r21900, r21901, r21902, r21903;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21854);
        mpfr_init(r21855);
        mpfr_init(r21856);
        mpfr_init(r21857);
        mpfr_init(r21858);
        mpfr_init(r21859);
        mpfr_init(r21860);
        mpfr_init(r21861);
        mpfr_init(r21862);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init_set_str(r21866, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21867);
        mpfr_init_set_str(r21868, "2", 10, MPFR_RNDN);
        mpfr_init(r21869);
        mpfr_init(r21870);
        mpfr_init(r21871);
        mpfr_init(r21872);
        mpfr_init(r21873);
        mpfr_init(r21874);
        mpfr_init(r21875);
        mpfr_init(r21876);
        mpfr_init(r21877);
        mpfr_init(r21878);
        mpfr_init(r21879);
        mpfr_init(r21880);
        mpfr_init(r21881);
        mpfr_init(r21882);
        mpfr_init(r21883);
        mpfr_init(r21884);
        mpfr_init_set_str(r21885, "1.5884791245037e+244", 10, MPFR_RNDN);
        mpfr_init(r21886);
        mpfr_init_set_str(r21887, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21888);
        mpfr_init(r21889);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init_set_str(r21892, "4", 10, MPFR_RNDN);
        mpfr_init(r21893);
        mpfr_init_set_str(r21894, "1", 10, MPFR_RNDN);
        mpfr_init(r21895);
        mpfr_init(r21896);
        mpfr_init(r21897);
        mpfr_init(r21898);
        mpfr_init(r21899);
        mpfr_init(r21900);
        mpfr_init(r21901);
        mpfr_init(r21902);
        mpfr_init(r21903);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21854, n, MPFR_RNDN);
        mpfr_add(r21855, r21854, r21854, MPFR_RNDN);
        mpfr_set_d(r21856, U, MPFR_RNDN);
        mpfr_set_d(r21857, t, MPFR_RNDN);
        mpfr_set_d(r21858, l, MPFR_RNDN);
        mpfr_add(r21859, r21858, r21858, MPFR_RNDN);
        mpfr_set_d(r21860, Om, MPFR_RNDN);
        mpfr_div(r21861, r21860, r21858, MPFR_RNDN);
        mpfr_div(r21862, r21859, r21861, MPFR_RNDN);
        mpfr_sub(r21863, r21857, r21862, MPFR_RNDN);
        mpfr_mul(r21864, r21856, r21863, MPFR_RNDN);
        mpfr_mul(r21865, r21855, r21864, MPFR_RNDN);
        ;
        mpfr_set_si(r21867, mpfr_cmp(r21865, r21866) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21869, r21868, r21854, MPFR_RNDN);
        mpfr_mul(r21870, r21869, r21856, MPFR_RNDN);
        mpfr_sqrt(r21871, r21870, MPFR_RNDN);
        mpfr_mul(r21872, r21858, r21858, MPFR_RNDN);
        mpfr_div(r21873, r21872, r21860, MPFR_RNDN);
        mpfr_mul(r21874, r21868, r21873, MPFR_RNDN);
        mpfr_sub(r21875, r21857, r21874, MPFR_RNDN);
        mpfr_div(r21876, r21858, r21860, MPFR_RNDN);
        mpfr_pow(r21877, r21876, r21868, MPFR_RNDN);
        mpfr_mul(r21878, r21854, r21877, MPFR_RNDN);
        mpfr_set_d(r21879, U_, MPFR_RNDN);
        mpfr_sub(r21880, r21856, r21879, MPFR_RNDN);
        mpfr_mul(r21881, r21878, r21880, MPFR_RNDN);
        mpfr_sub(r21882, r21875, r21881, MPFR_RNDN);
        mpfr_sqrt(r21883, r21882, MPFR_RNDN);
        mpfr_mul(r21884, r21871, r21883, MPFR_RNDN);
        ;
        mpfr_set_si(r21886, mpfr_cmp(r21865, r21885) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r21888, r21865, r21887, MPFR_RNDN);
        mpfr_mul(r21889, r21856, r21854, MPFR_RNDN);
        mpfr_add(r21890, r21857, r21857, MPFR_RNDN);
        mpfr_mul(r21891, r21889, r21890, MPFR_RNDN);
        ;
        mpfr_mul(r21893, r21858, r21892, MPFR_RNDN);
        ;
        mpfr_div(r21895, r21894, r21854, MPFR_RNDN);
        mpfr_div(r21896, r21860, r21856, MPFR_RNDN);
        mpfr_div(r21897, r21896, r21858, MPFR_RNDN);
        mpfr_mul(r21898, r21895, r21897, MPFR_RNDN);
        mpfr_div(r21899, r21893, r21898, MPFR_RNDN);
        mpfr_sub(r21900, r21891, r21899, MPFR_RNDN);
        mpfr_sqrt(r21901, r21900, MPFR_RNDN);
        if (mpfr_get_si(r21886, MPFR_RNDN)) { mpfr_set(r21902, r21888, MPFR_RNDN); } else { mpfr_set(r21902, r21901, MPFR_RNDN); };
        if (mpfr_get_si(r21867, MPFR_RNDN)) { mpfr_set(r21903, r21884, MPFR_RNDN); } else { mpfr_set(r21903, r21902, MPFR_RNDN); };
        return mpfr_get_d(r21903, MPFR_RNDN);
}