#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 r24706 = 2;
        float r24707 = n;
        float r24708 = r24706 * r24707;
        float r24709 = U;
        float r24710 = r24708 * r24709;
        float r24711 = t;
        float r24712 = l;
        float r24713 = r24712 * r24712;
        float r24714 = Om;
        float r24715 = r24713 / r24714;
        float r24716 = r24706 * r24715;
        float r24717 = r24711 - r24716;
        float r24718 = r24712 / r24714;
        float r24719 = pow(r24718, r24706);
        float r24720 = r24707 * r24719;
        float r24721 = U_;
        float r24722 = r24709 - r24721;
        float r24723 = r24720 * r24722;
        float r24724 = r24717 - r24723;
        float r24725 = r24710 * r24724;
        float r24726 = sqrt(r24725);
        return r24726;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24727 = 2;
        double r24728 = n;
        double r24729 = r24727 * r24728;
        double r24730 = U;
        double r24731 = r24729 * r24730;
        double r24732 = t;
        double r24733 = l;
        double r24734 = r24733 * r24733;
        double r24735 = Om;
        double r24736 = r24734 / r24735;
        double r24737 = r24727 * r24736;
        double r24738 = r24732 - r24737;
        double r24739 = r24733 / r24735;
        double r24740 = pow(r24739, r24727);
        double r24741 = r24728 * r24740;
        double r24742 = U_;
        double r24743 = r24730 - r24742;
        double r24744 = r24741 * r24743;
        double r24745 = r24738 - r24744;
        double r24746 = r24731 * r24745;
        double r24747 = sqrt(r24746);
        return r24747;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24748 = n;
        float r24749 = 4.688956426545208e-289;
        bool r24750 = r24748 <= r24749;
        float r24751 = 2;
        float r24752 = r24751 * r24748;
        float r24753 = U;
        float r24754 = t;
        float r24755 = l;
        float r24756 = Om;
        float r24757 = r24756 / r24755;
        float r24758 = r24755 / r24757;
        float r24759 = r24751 * r24758;
        float r24760 = r24754 - r24759;
        float r24761 = r24755 / r24756;
        float r24762 = r24748 * r24761;
        float r24763 = r24762 * r24761;
        float r24764 = U_;
        float r24765 = r24753 - r24764;
        float r24766 = r24763 * r24765;
        float r24767 = r24760 - r24766;
        float r24768 = r24753 * r24767;
        float r24769 = r24752 * r24768;
        float r24770 = sqrt(r24769);
        float r24771 = sqrt(r24752);
        float r24772 = sqrt(r24768);
        float r24773 = r24771 * r24772;
        float r24774 = r24750 ? r24770 : r24773;
        return r24774;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24775 = n;
        double r24776 = 4.688956426545208e-289;
        bool r24777 = r24775 <= r24776;
        double r24778 = 2;
        double r24779 = r24778 * r24775;
        double r24780 = U;
        double r24781 = t;
        double r24782 = l;
        double r24783 = Om;
        double r24784 = r24783 / r24782;
        double r24785 = r24782 / r24784;
        double r24786 = r24778 * r24785;
        double r24787 = r24781 - r24786;
        double r24788 = r24782 / r24783;
        double r24789 = r24775 * r24788;
        double r24790 = r24789 * r24788;
        double r24791 = U_;
        double r24792 = r24780 - r24791;
        double r24793 = r24790 * r24792;
        double r24794 = r24787 - r24793;
        double r24795 = r24780 * r24794;
        double r24796 = r24779 * r24795;
        double r24797 = sqrt(r24796);
        double r24798 = sqrt(r24779);
        double r24799 = sqrt(r24795);
        double r24800 = r24798 * r24799;
        double r24801 = r24777 ? r24797 : r24800;
        return r24801;
}

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 r24802, r24803, r24804, r24805, r24806, r24807, r24808, r24809, r24810, r24811, r24812, r24813, r24814, r24815, r24816, r24817, r24818, r24819, r24820, r24821, r24822;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24802, "2", 10, MPFR_RNDN);
        mpfr_init(r24803);
        mpfr_init(r24804);
        mpfr_init(r24805);
        mpfr_init(r24806);
        mpfr_init(r24807);
        mpfr_init(r24808);
        mpfr_init(r24809);
        mpfr_init(r24810);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24803, n, MPFR_RNDN);
        mpfr_mul(r24804, r24802, r24803, MPFR_RNDN);
        mpfr_set_d(r24805, U, MPFR_RNDN);
        mpfr_mul(r24806, r24804, r24805, MPFR_RNDN);
        mpfr_set_d(r24807, t, MPFR_RNDN);
        mpfr_set_d(r24808, l, MPFR_RNDN);
        mpfr_mul(r24809, r24808, r24808, MPFR_RNDN);
        mpfr_set_d(r24810, Om, MPFR_RNDN);
        mpfr_div(r24811, r24809, r24810, MPFR_RNDN);
        mpfr_mul(r24812, r24802, r24811, MPFR_RNDN);
        mpfr_sub(r24813, r24807, r24812, MPFR_RNDN);
        mpfr_div(r24814, r24808, r24810, MPFR_RNDN);
        mpfr_pow(r24815, r24814, r24802, MPFR_RNDN);
        mpfr_mul(r24816, r24803, r24815, MPFR_RNDN);
        mpfr_set_d(r24817, U_, MPFR_RNDN);
        mpfr_sub(r24818, r24805, r24817, MPFR_RNDN);
        mpfr_mul(r24819, r24816, r24818, MPFR_RNDN);
        mpfr_sub(r24820, r24813, r24819, MPFR_RNDN);
        mpfr_mul(r24821, r24806, r24820, MPFR_RNDN);
        mpfr_sqrt(r24822, r24821, MPFR_RNDN);
        return mpfr_get_d(r24822, MPFR_RNDN);
}

static mpfr_t r24823, r24824, r24825, r24826, r24827, r24828, r24829, r24830, r24831, r24832, r24833, r24834, r24835, r24836, r24837, r24838, r24839, r24840, r24841, r24842, r24843, r24844, r24845, r24846, r24847, r24848, r24849;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24823);
        mpfr_init_set_str(r24824, "4.688956426545208e-289", 10, MPFR_RNDN);
        mpfr_init(r24825);
        mpfr_init_set_str(r24826, "2", 10, MPFR_RNDN);
        mpfr_init(r24827);
        mpfr_init(r24828);
        mpfr_init(r24829);
        mpfr_init(r24830);
        mpfr_init(r24831);
        mpfr_init(r24832);
        mpfr_init(r24833);
        mpfr_init(r24834);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24823, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24825, mpfr_cmp(r24823, r24824) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24827, r24826, r24823, MPFR_RNDN);
        mpfr_set_d(r24828, U, MPFR_RNDN);
        mpfr_set_d(r24829, t, MPFR_RNDN);
        mpfr_set_d(r24830, l, MPFR_RNDN);
        mpfr_set_d(r24831, Om, MPFR_RNDN);
        mpfr_div(r24832, r24831, r24830, MPFR_RNDN);
        mpfr_div(r24833, r24830, r24832, MPFR_RNDN);
        mpfr_mul(r24834, r24826, r24833, MPFR_RNDN);
        mpfr_sub(r24835, r24829, r24834, MPFR_RNDN);
        mpfr_div(r24836, r24830, r24831, MPFR_RNDN);
        mpfr_mul(r24837, r24823, r24836, MPFR_RNDN);
        mpfr_mul(r24838, r24837, r24836, MPFR_RNDN);
        mpfr_set_d(r24839, U_, MPFR_RNDN);
        mpfr_sub(r24840, r24828, r24839, MPFR_RNDN);
        mpfr_mul(r24841, r24838, r24840, MPFR_RNDN);
        mpfr_sub(r24842, r24835, r24841, MPFR_RNDN);
        mpfr_mul(r24843, r24828, r24842, MPFR_RNDN);
        mpfr_mul(r24844, r24827, r24843, MPFR_RNDN);
        mpfr_sqrt(r24845, r24844, MPFR_RNDN);
        mpfr_sqrt(r24846, r24827, MPFR_RNDN);
        mpfr_sqrt(r24847, r24843, MPFR_RNDN);
        mpfr_mul(r24848, r24846, r24847, MPFR_RNDN);
        if (mpfr_get_si(r24825, MPFR_RNDN)) { mpfr_set(r24849, r24845, MPFR_RNDN); } else { mpfr_set(r24849, r24848, MPFR_RNDN); };
        return mpfr_get_d(r24849, MPFR_RNDN);
}

static mpfr_t r24850, r24851, r24852, r24853, r24854, r24855, r24856, r24857, r24858, r24859, r24860, r24861, r24862, r24863, r24864, r24865, r24866, r24867, r24868, r24869, r24870, r24871, r24872, r24873, r24874, r24875, r24876;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24850);
        mpfr_init_set_str(r24851, "4.688956426545208e-289", 10, MPFR_RNDN);
        mpfr_init(r24852);
        mpfr_init_set_str(r24853, "2", 10, MPFR_RNDN);
        mpfr_init(r24854);
        mpfr_init(r24855);
        mpfr_init(r24856);
        mpfr_init(r24857);
        mpfr_init(r24858);
        mpfr_init(r24859);
        mpfr_init(r24860);
        mpfr_init(r24861);
        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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24850, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24852, mpfr_cmp(r24850, r24851) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24854, r24853, r24850, MPFR_RNDN);
        mpfr_set_d(r24855, U, MPFR_RNDN);
        mpfr_set_d(r24856, t, MPFR_RNDN);
        mpfr_set_d(r24857, l, MPFR_RNDN);
        mpfr_set_d(r24858, Om, MPFR_RNDN);
        mpfr_div(r24859, r24858, r24857, MPFR_RNDN);
        mpfr_div(r24860, r24857, r24859, MPFR_RNDN);
        mpfr_mul(r24861, r24853, r24860, MPFR_RNDN);
        mpfr_sub(r24862, r24856, r24861, MPFR_RNDN);
        mpfr_div(r24863, r24857, r24858, MPFR_RNDN);
        mpfr_mul(r24864, r24850, r24863, MPFR_RNDN);
        mpfr_mul(r24865, r24864, r24863, MPFR_RNDN);
        mpfr_set_d(r24866, U_, MPFR_RNDN);
        mpfr_sub(r24867, r24855, r24866, MPFR_RNDN);
        mpfr_mul(r24868, r24865, r24867, MPFR_RNDN);
        mpfr_sub(r24869, r24862, r24868, MPFR_RNDN);
        mpfr_mul(r24870, r24855, r24869, MPFR_RNDN);
        mpfr_mul(r24871, r24854, r24870, MPFR_RNDN);
        mpfr_sqrt(r24872, r24871, MPFR_RNDN);
        mpfr_sqrt(r24873, r24854, MPFR_RNDN);
        mpfr_sqrt(r24874, r24870, MPFR_RNDN);
        mpfr_mul(r24875, r24873, r24874, MPFR_RNDN);
        if (mpfr_get_si(r24852, MPFR_RNDN)) { mpfr_set(r24876, r24872, MPFR_RNDN); } else { mpfr_set(r24876, r24875, MPFR_RNDN); };
        return mpfr_get_d(r24876, MPFR_RNDN);
}