#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 r24714 = 2;
        float r24715 = n;
        float r24716 = r24714 * r24715;
        float r24717 = U;
        float r24718 = r24716 * r24717;
        float r24719 = t;
        float r24720 = l;
        float r24721 = r24720 * r24720;
        float r24722 = Om;
        float r24723 = r24721 / r24722;
        float r24724 = r24714 * r24723;
        float r24725 = r24719 - r24724;
        float r24726 = r24720 / r24722;
        float r24727 = pow(r24726, r24714);
        float r24728 = r24715 * r24727;
        float r24729 = U_;
        float r24730 = r24717 - r24729;
        float r24731 = r24728 * r24730;
        float r24732 = r24725 - r24731;
        float r24733 = r24718 * r24732;
        float r24734 = sqrt(r24733);
        return r24734;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24735 = 2;
        double r24736 = n;
        double r24737 = r24735 * r24736;
        double r24738 = U;
        double r24739 = r24737 * r24738;
        double r24740 = t;
        double r24741 = l;
        double r24742 = r24741 * r24741;
        double r24743 = Om;
        double r24744 = r24742 / r24743;
        double r24745 = r24735 * r24744;
        double r24746 = r24740 - r24745;
        double r24747 = r24741 / r24743;
        double r24748 = pow(r24747, r24735);
        double r24749 = r24736 * r24748;
        double r24750 = U_;
        double r24751 = r24738 - r24750;
        double r24752 = r24749 * r24751;
        double r24753 = r24746 - r24752;
        double r24754 = r24739 * r24753;
        double r24755 = sqrt(r24754);
        return r24755;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24756 = n;
        float r24757 = 1.0112170135790667e-290;
        bool r24758 = r24756 <= r24757;
        float r24759 = 2;
        float r24760 = r24759 * r24756;
        float r24761 = U;
        float r24762 = t;
        float r24763 = l;
        float r24764 = Om;
        float r24765 = r24764 / r24763;
        float r24766 = r24763 / r24765;
        float r24767 = r24759 * r24766;
        float r24768 = r24762 - r24767;
        float r24769 = r24763 / r24764;
        float r24770 = r24756 * r24769;
        float r24771 = r24770 * r24769;
        float r24772 = U_;
        float r24773 = r24761 - r24772;
        float r24774 = r24771 * r24773;
        float r24775 = r24768 - r24774;
        float r24776 = r24761 * r24775;
        float r24777 = r24760 * r24776;
        float r24778 = sqrt(r24777);
        float r24779 = sqrt(r24760);
        float r24780 = sqrt(r24776);
        float r24781 = r24779 * r24780;
        float r24782 = r24758 ? r24778 : r24781;
        return r24782;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24783 = n;
        double r24784 = 1.0112170135790667e-290;
        bool r24785 = r24783 <= r24784;
        double r24786 = 2;
        double r24787 = r24786 * r24783;
        double r24788 = U;
        double r24789 = t;
        double r24790 = l;
        double r24791 = Om;
        double r24792 = r24791 / r24790;
        double r24793 = r24790 / r24792;
        double r24794 = r24786 * r24793;
        double r24795 = r24789 - r24794;
        double r24796 = r24790 / r24791;
        double r24797 = r24783 * r24796;
        double r24798 = r24797 * r24796;
        double r24799 = U_;
        double r24800 = r24788 - r24799;
        double r24801 = r24798 * r24800;
        double r24802 = r24795 - r24801;
        double r24803 = r24788 * r24802;
        double r24804 = r24787 * r24803;
        double r24805 = sqrt(r24804);
        double r24806 = sqrt(r24787);
        double r24807 = sqrt(r24803);
        double r24808 = r24806 * r24807;
        double r24809 = r24785 ? r24805 : r24808;
        return r24809;
}

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 r24810, r24811, r24812, r24813, r24814, r24815, r24816, r24817, r24818, r24819, r24820, r24821, r24822, r24823, r24824, r24825, r24826, r24827, r24828, r24829, r24830;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24810, "2", 10, MPFR_RNDN);
        mpfr_init(r24811);
        mpfr_init(r24812);
        mpfr_init(r24813);
        mpfr_init(r24814);
        mpfr_init(r24815);
        mpfr_init(r24816);
        mpfr_init(r24817);
        mpfr_init(r24818);
        mpfr_init(r24819);
        mpfr_init(r24820);
        mpfr_init(r24821);
        mpfr_init(r24822);
        mpfr_init(r24823);
        mpfr_init(r24824);
        mpfr_init(r24825);
        mpfr_init(r24826);
        mpfr_init(r24827);
        mpfr_init(r24828);
        mpfr_init(r24829);
        mpfr_init(r24830);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24811, n, MPFR_RNDN);
        mpfr_mul(r24812, r24810, r24811, MPFR_RNDN);
        mpfr_set_d(r24813, U, MPFR_RNDN);
        mpfr_mul(r24814, r24812, r24813, MPFR_RNDN);
        mpfr_set_d(r24815, t, MPFR_RNDN);
        mpfr_set_d(r24816, l, MPFR_RNDN);
        mpfr_mul(r24817, r24816, r24816, MPFR_RNDN);
        mpfr_set_d(r24818, Om, MPFR_RNDN);
        mpfr_div(r24819, r24817, r24818, MPFR_RNDN);
        mpfr_mul(r24820, r24810, r24819, MPFR_RNDN);
        mpfr_sub(r24821, r24815, r24820, MPFR_RNDN);
        mpfr_div(r24822, r24816, r24818, MPFR_RNDN);
        mpfr_pow(r24823, r24822, r24810, MPFR_RNDN);
        mpfr_mul(r24824, r24811, r24823, MPFR_RNDN);
        mpfr_set_d(r24825, U_, MPFR_RNDN);
        mpfr_sub(r24826, r24813, r24825, MPFR_RNDN);
        mpfr_mul(r24827, r24824, r24826, MPFR_RNDN);
        mpfr_sub(r24828, r24821, r24827, MPFR_RNDN);
        mpfr_mul(r24829, r24814, r24828, MPFR_RNDN);
        mpfr_sqrt(r24830, r24829, MPFR_RNDN);
        return mpfr_get_d(r24830, MPFR_RNDN);
}

static mpfr_t r24831, r24832, r24833, r24834, r24835, r24836, r24837, r24838, r24839, r24840, r24841, r24842, r24843, r24844, r24845, r24846, r24847, r24848, r24849, r24850, r24851, r24852, r24853, r24854, r24855, r24856, r24857;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24831);
        mpfr_init_set_str(r24832, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24833);
        mpfr_init_set_str(r24834, "2", 10, MPFR_RNDN);
        mpfr_init(r24835);
        mpfr_init(r24836);
        mpfr_init(r24837);
        mpfr_init(r24838);
        mpfr_init(r24839);
        mpfr_init(r24840);
        mpfr_init(r24841);
        mpfr_init(r24842);
        mpfr_init(r24843);
        mpfr_init(r24844);
        mpfr_init(r24845);
        mpfr_init(r24846);
        mpfr_init(r24847);
        mpfr_init(r24848);
        mpfr_init(r24849);
        mpfr_init(r24850);
        mpfr_init(r24851);
        mpfr_init(r24852);
        mpfr_init(r24853);
        mpfr_init(r24854);
        mpfr_init(r24855);
        mpfr_init(r24856);
        mpfr_init(r24857);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24831, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24833, mpfr_cmp(r24831, r24832) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24835, r24834, r24831, MPFR_RNDN);
        mpfr_set_d(r24836, U, MPFR_RNDN);
        mpfr_set_d(r24837, t, MPFR_RNDN);
        mpfr_set_d(r24838, l, MPFR_RNDN);
        mpfr_set_d(r24839, Om, MPFR_RNDN);
        mpfr_div(r24840, r24839, r24838, MPFR_RNDN);
        mpfr_div(r24841, r24838, r24840, MPFR_RNDN);
        mpfr_mul(r24842, r24834, r24841, MPFR_RNDN);
        mpfr_sub(r24843, r24837, r24842, MPFR_RNDN);
        mpfr_div(r24844, r24838, r24839, MPFR_RNDN);
        mpfr_mul(r24845, r24831, r24844, MPFR_RNDN);
        mpfr_mul(r24846, r24845, r24844, MPFR_RNDN);
        mpfr_set_d(r24847, U_, MPFR_RNDN);
        mpfr_sub(r24848, r24836, r24847, MPFR_RNDN);
        mpfr_mul(r24849, r24846, r24848, MPFR_RNDN);
        mpfr_sub(r24850, r24843, r24849, MPFR_RNDN);
        mpfr_mul(r24851, r24836, r24850, MPFR_RNDN);
        mpfr_mul(r24852, r24835, r24851, MPFR_RNDN);
        mpfr_sqrt(r24853, r24852, MPFR_RNDN);
        mpfr_sqrt(r24854, r24835, MPFR_RNDN);
        mpfr_sqrt(r24855, r24851, MPFR_RNDN);
        mpfr_mul(r24856, r24854, r24855, MPFR_RNDN);
        if (mpfr_get_si(r24833, MPFR_RNDN)) { mpfr_set(r24857, r24853, MPFR_RNDN); } else { mpfr_set(r24857, r24856, MPFR_RNDN); };
        return mpfr_get_d(r24857, MPFR_RNDN);
}

static mpfr_t r24858, r24859, r24860, r24861, r24862, r24863, r24864, r24865, r24866, r24867, r24868, r24869, r24870, r24871, r24872, r24873, r24874, r24875, r24876, r24877, r24878, r24879, r24880, r24881, r24882, r24883, r24884;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24858);
        mpfr_init_set_str(r24859, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24860);
        mpfr_init_set_str(r24861, "2", 10, MPFR_RNDN);
        mpfr_init(r24862);
        mpfr_init(r24863);
        mpfr_init(r24864);
        mpfr_init(r24865);
        mpfr_init(r24866);
        mpfr_init(r24867);
        mpfr_init(r24868);
        mpfr_init(r24869);
        mpfr_init(r24870);
        mpfr_init(r24871);
        mpfr_init(r24872);
        mpfr_init(r24873);
        mpfr_init(r24874);
        mpfr_init(r24875);
        mpfr_init(r24876);
        mpfr_init(r24877);
        mpfr_init(r24878);
        mpfr_init(r24879);
        mpfr_init(r24880);
        mpfr_init(r24881);
        mpfr_init(r24882);
        mpfr_init(r24883);
        mpfr_init(r24884);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24858, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24860, mpfr_cmp(r24858, r24859) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24862, r24861, r24858, MPFR_RNDN);
        mpfr_set_d(r24863, U, MPFR_RNDN);
        mpfr_set_d(r24864, t, MPFR_RNDN);
        mpfr_set_d(r24865, l, MPFR_RNDN);
        mpfr_set_d(r24866, Om, MPFR_RNDN);
        mpfr_div(r24867, r24866, r24865, MPFR_RNDN);
        mpfr_div(r24868, r24865, r24867, MPFR_RNDN);
        mpfr_mul(r24869, r24861, r24868, MPFR_RNDN);
        mpfr_sub(r24870, r24864, r24869, MPFR_RNDN);
        mpfr_div(r24871, r24865, r24866, MPFR_RNDN);
        mpfr_mul(r24872, r24858, r24871, MPFR_RNDN);
        mpfr_mul(r24873, r24872, r24871, MPFR_RNDN);
        mpfr_set_d(r24874, U_, MPFR_RNDN);
        mpfr_sub(r24875, r24863, r24874, MPFR_RNDN);
        mpfr_mul(r24876, r24873, r24875, MPFR_RNDN);
        mpfr_sub(r24877, r24870, r24876, MPFR_RNDN);
        mpfr_mul(r24878, r24863, r24877, MPFR_RNDN);
        mpfr_mul(r24879, r24862, r24878, MPFR_RNDN);
        mpfr_sqrt(r24880, r24879, MPFR_RNDN);
        mpfr_sqrt(r24881, r24862, MPFR_RNDN);
        mpfr_sqrt(r24882, r24878, MPFR_RNDN);
        mpfr_mul(r24883, r24881, r24882, MPFR_RNDN);
        if (mpfr_get_si(r24860, MPFR_RNDN)) { mpfr_set(r24884, r24880, MPFR_RNDN); } else { mpfr_set(r24884, r24883, MPFR_RNDN); };
        return mpfr_get_d(r24884, MPFR_RNDN);
}