#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 r21676 = 2;
        float r21677 = n;
        float r21678 = r21676 * r21677;
        float r21679 = U;
        float r21680 = r21678 * r21679;
        float r21681 = t;
        float r21682 = l;
        float r21683 = r21682 * r21682;
        float r21684 = Om;
        float r21685 = r21683 / r21684;
        float r21686 = r21676 * r21685;
        float r21687 = r21681 - r21686;
        float r21688 = r21682 / r21684;
        float r21689 = pow(r21688, r21676);
        float r21690 = r21677 * r21689;
        float r21691 = U_;
        float r21692 = r21679 - r21691;
        float r21693 = r21690 * r21692;
        float r21694 = r21687 - r21693;
        float r21695 = r21680 * r21694;
        float r21696 = sqrt(r21695);
        return r21696;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21697 = 2;
        double r21698 = n;
        double r21699 = r21697 * r21698;
        double r21700 = U;
        double r21701 = r21699 * r21700;
        double r21702 = t;
        double r21703 = l;
        double r21704 = r21703 * r21703;
        double r21705 = Om;
        double r21706 = r21704 / r21705;
        double r21707 = r21697 * r21706;
        double r21708 = r21702 - r21707;
        double r21709 = r21703 / r21705;
        double r21710 = pow(r21709, r21697);
        double r21711 = r21698 * r21710;
        double r21712 = U_;
        double r21713 = r21700 - r21712;
        double r21714 = r21711 * r21713;
        double r21715 = r21708 - r21714;
        double r21716 = r21701 * r21715;
        double r21717 = sqrt(r21716);
        return r21717;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21718 = n;
        float r21719 = r21718 + r21718;
        float r21720 = U;
        float r21721 = r21719 * r21720;
        float r21722 = -5.327652269958979e-223;
        bool r21723 = r21721 <= r21722;
        float r21724 = 2;
        float r21725 = r21724 * r21718;
        float r21726 = r21725 * r21720;
        float r21727 = t;
        float r21728 = l;
        float r21729 = Om;
        float r21730 = r21729 / r21728;
        float r21731 = r21728 / r21730;
        float r21732 = r21724 * r21731;
        float r21733 = r21727 - r21732;
        float r21734 = r21728 / r21729;
        float r21735 = pow(r21734, r21724);
        float r21736 = r21718 * r21735;
        float r21737 = U_;
        float r21738 = r21720 - r21737;
        float r21739 = r21736 * r21738;
        float r21740 = r21733 - r21739;
        float r21741 = r21726 * r21740;
        float r21742 = sqrt(r21741);
        float r21743 = 4.9406564584125e-323;
        bool r21744 = r21721 <= r21743;
        float r21745 = r21734 * r21718;
        float r21746 = r21738 * r21734;
        float r21747 = r21745 * r21746;
        float r21748 = 3;
        float r21749 = pow(r21747, r21748);
        float r21750 = cbrt(r21749);
        float r21751 = r21733 - r21750;
        float r21752 = r21720 * r21751;
        float r21753 = r21725 * r21752;
        float r21754 = sqrt(r21753);
        float r21755 = 4.3281810564197756e+196;
        bool r21756 = r21721 <= r21755;
        float r21757 = sqrt(r21726);
        float r21758 = sqrt(r21740);
        float r21759 = r21757 * r21758;
        float r21760 = r21756 ? r21759 : r21754;
        float r21761 = r21744 ? r21754 : r21760;
        float r21762 = r21723 ? r21742 : r21761;
        return r21762;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21763 = n;
        double r21764 = r21763 + r21763;
        double r21765 = U;
        double r21766 = r21764 * r21765;
        double r21767 = -5.327652269958979e-223;
        bool r21768 = r21766 <= r21767;
        double r21769 = 2;
        double r21770 = r21769 * r21763;
        double r21771 = r21770 * r21765;
        double r21772 = t;
        double r21773 = l;
        double r21774 = Om;
        double r21775 = r21774 / r21773;
        double r21776 = r21773 / r21775;
        double r21777 = r21769 * r21776;
        double r21778 = r21772 - r21777;
        double r21779 = r21773 / r21774;
        double r21780 = pow(r21779, r21769);
        double r21781 = r21763 * r21780;
        double r21782 = U_;
        double r21783 = r21765 - r21782;
        double r21784 = r21781 * r21783;
        double r21785 = r21778 - r21784;
        double r21786 = r21771 * r21785;
        double r21787 = sqrt(r21786);
        double r21788 = 4.9406564584125e-323;
        bool r21789 = r21766 <= r21788;
        double r21790 = r21779 * r21763;
        double r21791 = r21783 * r21779;
        double r21792 = r21790 * r21791;
        double r21793 = 3;
        double r21794 = pow(r21792, r21793);
        double r21795 = cbrt(r21794);
        double r21796 = r21778 - r21795;
        double r21797 = r21765 * r21796;
        double r21798 = r21770 * r21797;
        double r21799 = sqrt(r21798);
        double r21800 = 4.3281810564197756e+196;
        bool r21801 = r21766 <= r21800;
        double r21802 = sqrt(r21771);
        double r21803 = sqrt(r21785);
        double r21804 = r21802 * r21803;
        double r21805 = r21801 ? r21804 : r21799;
        double r21806 = r21789 ? r21799 : r21805;
        double r21807 = r21768 ? r21787 : r21806;
        return r21807;
}

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 r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21808, "2", 10, MPFR_RNDN);
        mpfr_init(r21809);
        mpfr_init(r21810);
        mpfr_init(r21811);
        mpfr_init(r21812);
        mpfr_init(r21813);
        mpfr_init(r21814);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21809, n, MPFR_RNDN);
        mpfr_mul(r21810, r21808, r21809, MPFR_RNDN);
        mpfr_set_d(r21811, U, MPFR_RNDN);
        mpfr_mul(r21812, r21810, r21811, MPFR_RNDN);
        mpfr_set_d(r21813, t, MPFR_RNDN);
        mpfr_set_d(r21814, l, MPFR_RNDN);
        mpfr_mul(r21815, r21814, r21814, MPFR_RNDN);
        mpfr_set_d(r21816, Om, MPFR_RNDN);
        mpfr_div(r21817, r21815, r21816, MPFR_RNDN);
        mpfr_mul(r21818, r21808, r21817, MPFR_RNDN);
        mpfr_sub(r21819, r21813, r21818, MPFR_RNDN);
        mpfr_div(r21820, r21814, r21816, MPFR_RNDN);
        mpfr_pow(r21821, r21820, r21808, MPFR_RNDN);
        mpfr_mul(r21822, r21809, r21821, MPFR_RNDN);
        mpfr_set_d(r21823, U_, MPFR_RNDN);
        mpfr_sub(r21824, r21811, r21823, MPFR_RNDN);
        mpfr_mul(r21825, r21822, r21824, MPFR_RNDN);
        mpfr_sub(r21826, r21819, r21825, MPFR_RNDN);
        mpfr_mul(r21827, r21812, r21826, MPFR_RNDN);
        mpfr_sqrt(r21828, r21827, MPFR_RNDN);
        return mpfr_get_d(r21828, MPFR_RNDN);
}

static mpfr_t 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, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21829);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init_set_str(r21833, "-5.327652269958979e-223", 10, MPFR_RNDN);
        mpfr_init(r21834);
        mpfr_init_set_str(r21835, "2", 10, MPFR_RNDN);
        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_set_str(r21854, "4.9406564584125e-323", 10, MPFR_RNDN);
        mpfr_init(r21855);
        mpfr_init(r21856);
        mpfr_init(r21857);
        mpfr_init(r21858);
        mpfr_init_set_str(r21859, "3", 10, MPFR_RNDN);
        mpfr_init(r21860);
        mpfr_init(r21861);
        mpfr_init(r21862);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init_set_str(r21866, "4.3281810564197756e+196", 10, MPFR_RNDN);
        mpfr_init(r21867);
        mpfr_init(r21868);
        mpfr_init(r21869);
        mpfr_init(r21870);
        mpfr_init(r21871);
        mpfr_init(r21872);
        mpfr_init(r21873);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21829, n, MPFR_RNDN);
        mpfr_add(r21830, r21829, r21829, MPFR_RNDN);
        mpfr_set_d(r21831, U, MPFR_RNDN);
        mpfr_mul(r21832, r21830, r21831, MPFR_RNDN);
        ;
        mpfr_set_si(r21834, mpfr_cmp(r21832, r21833) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21836, r21835, r21829, MPFR_RNDN);
        mpfr_mul(r21837, r21836, r21831, MPFR_RNDN);
        mpfr_set_d(r21838, t, MPFR_RNDN);
        mpfr_set_d(r21839, l, MPFR_RNDN);
        mpfr_set_d(r21840, Om, MPFR_RNDN);
        mpfr_div(r21841, r21840, r21839, MPFR_RNDN);
        mpfr_div(r21842, r21839, r21841, MPFR_RNDN);
        mpfr_mul(r21843, r21835, r21842, MPFR_RNDN);
        mpfr_sub(r21844, r21838, r21843, MPFR_RNDN);
        mpfr_div(r21845, r21839, r21840, MPFR_RNDN);
        mpfr_pow(r21846, r21845, r21835, MPFR_RNDN);
        mpfr_mul(r21847, r21829, r21846, MPFR_RNDN);
        mpfr_set_d(r21848, U_, MPFR_RNDN);
        mpfr_sub(r21849, r21831, r21848, MPFR_RNDN);
        mpfr_mul(r21850, r21847, r21849, MPFR_RNDN);
        mpfr_sub(r21851, r21844, r21850, MPFR_RNDN);
        mpfr_mul(r21852, r21837, r21851, MPFR_RNDN);
        mpfr_sqrt(r21853, r21852, MPFR_RNDN);
        ;
        mpfr_set_si(r21855, mpfr_cmp(r21832, r21854) <= 0, MPFR_RNDN);
        mpfr_mul(r21856, r21845, r21829, MPFR_RNDN);
        mpfr_mul(r21857, r21849, r21845, MPFR_RNDN);
        mpfr_mul(r21858, r21856, r21857, MPFR_RNDN);
        ;
        mpfr_pow(r21860, r21858, r21859, MPFR_RNDN);
        mpfr_cbrt(r21861, r21860, MPFR_RNDN);
        mpfr_sub(r21862, r21844, r21861, MPFR_RNDN);
        mpfr_mul(r21863, r21831, r21862, MPFR_RNDN);
        mpfr_mul(r21864, r21836, r21863, MPFR_RNDN);
        mpfr_sqrt(r21865, r21864, MPFR_RNDN);
        ;
        mpfr_set_si(r21867, mpfr_cmp(r21832, r21866) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21868, r21837, MPFR_RNDN);
        mpfr_sqrt(r21869, r21851, MPFR_RNDN);
        mpfr_mul(r21870, r21868, r21869, MPFR_RNDN);
        if (mpfr_get_si(r21867, MPFR_RNDN)) { mpfr_set(r21871, r21870, MPFR_RNDN); } else { mpfr_set(r21871, r21865, MPFR_RNDN); };
        if (mpfr_get_si(r21855, MPFR_RNDN)) { mpfr_set(r21872, r21865, MPFR_RNDN); } else { mpfr_set(r21872, r21871, MPFR_RNDN); };
        if (mpfr_get_si(r21834, MPFR_RNDN)) { mpfr_set(r21873, r21853, MPFR_RNDN); } else { mpfr_set(r21873, r21872, MPFR_RNDN); };
        return mpfr_get_d(r21873, MPFR_RNDN);
}

static mpfr_t 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, r21904, r21905, r21906, r21907, r21908, r21909, r21910, r21911, r21912, r21913, r21914, r21915, r21916, r21917, r21918;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21874);
        mpfr_init(r21875);
        mpfr_init(r21876);
        mpfr_init(r21877);
        mpfr_init_set_str(r21878, "-5.327652269958979e-223", 10, MPFR_RNDN);
        mpfr_init(r21879);
        mpfr_init_set_str(r21880, "2", 10, MPFR_RNDN);
        mpfr_init(r21881);
        mpfr_init(r21882);
        mpfr_init(r21883);
        mpfr_init(r21884);
        mpfr_init(r21885);
        mpfr_init(r21886);
        mpfr_init(r21887);
        mpfr_init(r21888);
        mpfr_init(r21889);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init(r21892);
        mpfr_init(r21893);
        mpfr_init(r21894);
        mpfr_init(r21895);
        mpfr_init(r21896);
        mpfr_init(r21897);
        mpfr_init(r21898);
        mpfr_init_set_str(r21899, "4.9406564584125e-323", 10, MPFR_RNDN);
        mpfr_init(r21900);
        mpfr_init(r21901);
        mpfr_init(r21902);
        mpfr_init(r21903);
        mpfr_init_set_str(r21904, "3", 10, MPFR_RNDN);
        mpfr_init(r21905);
        mpfr_init(r21906);
        mpfr_init(r21907);
        mpfr_init(r21908);
        mpfr_init(r21909);
        mpfr_init(r21910);
        mpfr_init_set_str(r21911, "4.3281810564197756e+196", 10, MPFR_RNDN);
        mpfr_init(r21912);
        mpfr_init(r21913);
        mpfr_init(r21914);
        mpfr_init(r21915);
        mpfr_init(r21916);
        mpfr_init(r21917);
        mpfr_init(r21918);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21874, n, MPFR_RNDN);
        mpfr_add(r21875, r21874, r21874, MPFR_RNDN);
        mpfr_set_d(r21876, U, MPFR_RNDN);
        mpfr_mul(r21877, r21875, r21876, MPFR_RNDN);
        ;
        mpfr_set_si(r21879, mpfr_cmp(r21877, r21878) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21881, r21880, r21874, MPFR_RNDN);
        mpfr_mul(r21882, r21881, r21876, MPFR_RNDN);
        mpfr_set_d(r21883, t, MPFR_RNDN);
        mpfr_set_d(r21884, l, MPFR_RNDN);
        mpfr_set_d(r21885, Om, MPFR_RNDN);
        mpfr_div(r21886, r21885, r21884, MPFR_RNDN);
        mpfr_div(r21887, r21884, r21886, MPFR_RNDN);
        mpfr_mul(r21888, r21880, r21887, MPFR_RNDN);
        mpfr_sub(r21889, r21883, r21888, MPFR_RNDN);
        mpfr_div(r21890, r21884, r21885, MPFR_RNDN);
        mpfr_pow(r21891, r21890, r21880, MPFR_RNDN);
        mpfr_mul(r21892, r21874, r21891, MPFR_RNDN);
        mpfr_set_d(r21893, U_, MPFR_RNDN);
        mpfr_sub(r21894, r21876, r21893, MPFR_RNDN);
        mpfr_mul(r21895, r21892, r21894, MPFR_RNDN);
        mpfr_sub(r21896, r21889, r21895, MPFR_RNDN);
        mpfr_mul(r21897, r21882, r21896, MPFR_RNDN);
        mpfr_sqrt(r21898, r21897, MPFR_RNDN);
        ;
        mpfr_set_si(r21900, mpfr_cmp(r21877, r21899) <= 0, MPFR_RNDN);
        mpfr_mul(r21901, r21890, r21874, MPFR_RNDN);
        mpfr_mul(r21902, r21894, r21890, MPFR_RNDN);
        mpfr_mul(r21903, r21901, r21902, MPFR_RNDN);
        ;
        mpfr_pow(r21905, r21903, r21904, MPFR_RNDN);
        mpfr_cbrt(r21906, r21905, MPFR_RNDN);
        mpfr_sub(r21907, r21889, r21906, MPFR_RNDN);
        mpfr_mul(r21908, r21876, r21907, MPFR_RNDN);
        mpfr_mul(r21909, r21881, r21908, MPFR_RNDN);
        mpfr_sqrt(r21910, r21909, MPFR_RNDN);
        ;
        mpfr_set_si(r21912, mpfr_cmp(r21877, r21911) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21913, r21882, MPFR_RNDN);
        mpfr_sqrt(r21914, r21896, MPFR_RNDN);
        mpfr_mul(r21915, r21913, r21914, MPFR_RNDN);
        if (mpfr_get_si(r21912, MPFR_RNDN)) { mpfr_set(r21916, r21915, MPFR_RNDN); } else { mpfr_set(r21916, r21910, MPFR_RNDN); };
        if (mpfr_get_si(r21900, MPFR_RNDN)) { mpfr_set(r21917, r21910, MPFR_RNDN); } else { mpfr_set(r21917, r21916, MPFR_RNDN); };
        if (mpfr_get_si(r21879, MPFR_RNDN)) { mpfr_set(r21918, r21898, MPFR_RNDN); } else { mpfr_set(r21918, r21917, MPFR_RNDN); };
        return mpfr_get_d(r21918, MPFR_RNDN);
}