#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 r24666 = 2;
        float r24667 = n;
        float r24668 = r24666 * r24667;
        float r24669 = U;
        float r24670 = r24668 * r24669;
        float r24671 = t;
        float r24672 = l;
        float r24673 = r24672 * r24672;
        float r24674 = Om;
        float r24675 = r24673 / r24674;
        float r24676 = r24666 * r24675;
        float r24677 = r24671 - r24676;
        float r24678 = r24672 / r24674;
        float r24679 = pow(r24678, r24666);
        float r24680 = r24667 * r24679;
        float r24681 = U_;
        float r24682 = r24669 - r24681;
        float r24683 = r24680 * r24682;
        float r24684 = r24677 - r24683;
        float r24685 = r24670 * r24684;
        float r24686 = sqrt(r24685);
        return r24686;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24687 = 2;
        double r24688 = n;
        double r24689 = r24687 * r24688;
        double r24690 = U;
        double r24691 = r24689 * r24690;
        double r24692 = t;
        double r24693 = l;
        double r24694 = r24693 * r24693;
        double r24695 = Om;
        double r24696 = r24694 / r24695;
        double r24697 = r24687 * r24696;
        double r24698 = r24692 - r24697;
        double r24699 = r24693 / r24695;
        double r24700 = pow(r24699, r24687);
        double r24701 = r24688 * r24700;
        double r24702 = U_;
        double r24703 = r24690 - r24702;
        double r24704 = r24701 * r24703;
        double r24705 = r24698 - r24704;
        double r24706 = r24691 * r24705;
        double r24707 = sqrt(r24706);
        return r24707;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24708 = n;
        float r24709 = 4.688956426545208e-289;
        bool r24710 = r24708 <= r24709;
        float r24711 = 2;
        float r24712 = r24711 * r24708;
        float r24713 = U;
        float r24714 = t;
        float r24715 = l;
        float r24716 = Om;
        float r24717 = r24716 / r24715;
        float r24718 = r24715 / r24717;
        float r24719 = r24711 * r24718;
        float r24720 = r24714 - r24719;
        float r24721 = r24715 / r24716;
        float r24722 = r24708 * r24721;
        float r24723 = r24722 * r24721;
        float r24724 = U_;
        float r24725 = r24713 - r24724;
        float r24726 = r24723 * r24725;
        float r24727 = r24720 - r24726;
        float r24728 = r24713 * r24727;
        float r24729 = r24712 * r24728;
        float r24730 = sqrt(r24729);
        float r24731 = sqrt(r24712);
        float r24732 = r24715 * r24715;
        float r24733 = r24732 / r24716;
        float r24734 = r24711 * r24733;
        float r24735 = r24714 - r24734;
        float r24736 = r24735 - r24726;
        float r24737 = r24713 * r24736;
        float r24738 = sqrt(r24737);
        float r24739 = r24731 * r24738;
        float r24740 = r24710 ? r24730 : r24739;
        return r24740;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24741 = n;
        double r24742 = 4.688956426545208e-289;
        bool r24743 = r24741 <= r24742;
        double r24744 = 2;
        double r24745 = r24744 * r24741;
        double r24746 = U;
        double r24747 = t;
        double r24748 = l;
        double r24749 = Om;
        double r24750 = r24749 / r24748;
        double r24751 = r24748 / r24750;
        double r24752 = r24744 * r24751;
        double r24753 = r24747 - r24752;
        double r24754 = r24748 / r24749;
        double r24755 = r24741 * r24754;
        double r24756 = r24755 * r24754;
        double r24757 = U_;
        double r24758 = r24746 - r24757;
        double r24759 = r24756 * r24758;
        double r24760 = r24753 - r24759;
        double r24761 = r24746 * r24760;
        double r24762 = r24745 * r24761;
        double r24763 = sqrt(r24762);
        double r24764 = sqrt(r24745);
        double r24765 = r24748 * r24748;
        double r24766 = r24765 / r24749;
        double r24767 = r24744 * r24766;
        double r24768 = r24747 - r24767;
        double r24769 = r24768 - r24759;
        double r24770 = r24746 * r24769;
        double r24771 = sqrt(r24770);
        double r24772 = r24764 * r24771;
        double r24773 = r24743 ? r24763 : r24772;
        return r24773;
}

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 r24774, r24775, r24776, r24777, r24778, r24779, r24780, r24781, r24782, r24783, r24784, r24785, r24786, r24787, r24788, r24789, r24790, r24791, r24792, r24793, r24794;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24774, "2", 10, MPFR_RNDN);
        mpfr_init(r24775);
        mpfr_init(r24776);
        mpfr_init(r24777);
        mpfr_init(r24778);
        mpfr_init(r24779);
        mpfr_init(r24780);
        mpfr_init(r24781);
        mpfr_init(r24782);
        mpfr_init(r24783);
        mpfr_init(r24784);
        mpfr_init(r24785);
        mpfr_init(r24786);
        mpfr_init(r24787);
        mpfr_init(r24788);
        mpfr_init(r24789);
        mpfr_init(r24790);
        mpfr_init(r24791);
        mpfr_init(r24792);
        mpfr_init(r24793);
        mpfr_init(r24794);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24775, n, MPFR_RNDN);
        mpfr_mul(r24776, r24774, r24775, MPFR_RNDN);
        mpfr_set_d(r24777, U, MPFR_RNDN);
        mpfr_mul(r24778, r24776, r24777, MPFR_RNDN);
        mpfr_set_d(r24779, t, MPFR_RNDN);
        mpfr_set_d(r24780, l, MPFR_RNDN);
        mpfr_mul(r24781, r24780, r24780, MPFR_RNDN);
        mpfr_set_d(r24782, Om, MPFR_RNDN);
        mpfr_div(r24783, r24781, r24782, MPFR_RNDN);
        mpfr_mul(r24784, r24774, r24783, MPFR_RNDN);
        mpfr_sub(r24785, r24779, r24784, MPFR_RNDN);
        mpfr_div(r24786, r24780, r24782, MPFR_RNDN);
        mpfr_pow(r24787, r24786, r24774, MPFR_RNDN);
        mpfr_mul(r24788, r24775, r24787, MPFR_RNDN);
        mpfr_set_d(r24789, U_, MPFR_RNDN);
        mpfr_sub(r24790, r24777, r24789, MPFR_RNDN);
        mpfr_mul(r24791, r24788, r24790, MPFR_RNDN);
        mpfr_sub(r24792, r24785, r24791, MPFR_RNDN);
        mpfr_mul(r24793, r24778, r24792, MPFR_RNDN);
        mpfr_sqrt(r24794, r24793, MPFR_RNDN);
        return mpfr_get_d(r24794, MPFR_RNDN);
}

static mpfr_t r24795, r24796, r24797, r24798, r24799, r24800, r24801, r24802, r24803, r24804, r24805, r24806, r24807, r24808, r24809, r24810, r24811, r24812, r24813, r24814, r24815, r24816, r24817, r24818, r24819, r24820, r24821, r24822, r24823, r24824, r24825, r24826, r24827;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24795);
        mpfr_init_set_str(r24796, "4.688956426545208e-289", 10, MPFR_RNDN);
        mpfr_init(r24797);
        mpfr_init_set_str(r24798, "2", 10, MPFR_RNDN);
        mpfr_init(r24799);
        mpfr_init(r24800);
        mpfr_init(r24801);
        mpfr_init(r24802);
        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);
        mpfr_init(r24823);
        mpfr_init(r24824);
        mpfr_init(r24825);
        mpfr_init(r24826);
        mpfr_init(r24827);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24795, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24797, mpfr_cmp(r24795, r24796) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24799, r24798, r24795, MPFR_RNDN);
        mpfr_set_d(r24800, U, MPFR_RNDN);
        mpfr_set_d(r24801, t, MPFR_RNDN);
        mpfr_set_d(r24802, l, MPFR_RNDN);
        mpfr_set_d(r24803, Om, MPFR_RNDN);
        mpfr_div(r24804, r24803, r24802, MPFR_RNDN);
        mpfr_div(r24805, r24802, r24804, MPFR_RNDN);
        mpfr_mul(r24806, r24798, r24805, MPFR_RNDN);
        mpfr_sub(r24807, r24801, r24806, MPFR_RNDN);
        mpfr_div(r24808, r24802, r24803, MPFR_RNDN);
        mpfr_mul(r24809, r24795, r24808, MPFR_RNDN);
        mpfr_mul(r24810, r24809, r24808, MPFR_RNDN);
        mpfr_set_d(r24811, U_, MPFR_RNDN);
        mpfr_sub(r24812, r24800, r24811, MPFR_RNDN);
        mpfr_mul(r24813, r24810, r24812, MPFR_RNDN);
        mpfr_sub(r24814, r24807, r24813, MPFR_RNDN);
        mpfr_mul(r24815, r24800, r24814, MPFR_RNDN);
        mpfr_mul(r24816, r24799, r24815, MPFR_RNDN);
        mpfr_sqrt(r24817, r24816, MPFR_RNDN);
        mpfr_sqrt(r24818, r24799, MPFR_RNDN);
        mpfr_mul(r24819, r24802, r24802, MPFR_RNDN);
        mpfr_div(r24820, r24819, r24803, MPFR_RNDN);
        mpfr_mul(r24821, r24798, r24820, MPFR_RNDN);
        mpfr_sub(r24822, r24801, r24821, MPFR_RNDN);
        mpfr_sub(r24823, r24822, r24813, MPFR_RNDN);
        mpfr_mul(r24824, r24800, r24823, MPFR_RNDN);
        mpfr_sqrt(r24825, r24824, MPFR_RNDN);
        mpfr_mul(r24826, r24818, r24825, MPFR_RNDN);
        if (mpfr_get_si(r24797, MPFR_RNDN)) { mpfr_set(r24827, r24817, MPFR_RNDN); } else { mpfr_set(r24827, r24826, MPFR_RNDN); };
        return mpfr_get_d(r24827, MPFR_RNDN);
}

static mpfr_t r24828, r24829, r24830, 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, r24858, r24859, r24860;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24828);
        mpfr_init_set_str(r24829, "4.688956426545208e-289", 10, MPFR_RNDN);
        mpfr_init(r24830);
        mpfr_init_set_str(r24831, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24850);
        mpfr_init(r24851);
        mpfr_init(r24852);
        mpfr_init(r24853);
        mpfr_init(r24854);
        mpfr_init(r24855);
        mpfr_init(r24856);
        mpfr_init(r24857);
        mpfr_init(r24858);
        mpfr_init(r24859);
        mpfr_init(r24860);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24828, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24830, mpfr_cmp(r24828, r24829) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24832, r24831, r24828, MPFR_RNDN);
        mpfr_set_d(r24833, U, MPFR_RNDN);
        mpfr_set_d(r24834, t, MPFR_RNDN);
        mpfr_set_d(r24835, l, MPFR_RNDN);
        mpfr_set_d(r24836, Om, MPFR_RNDN);
        mpfr_div(r24837, r24836, r24835, MPFR_RNDN);
        mpfr_div(r24838, r24835, r24837, MPFR_RNDN);
        mpfr_mul(r24839, r24831, r24838, MPFR_RNDN);
        mpfr_sub(r24840, r24834, r24839, MPFR_RNDN);
        mpfr_div(r24841, r24835, r24836, MPFR_RNDN);
        mpfr_mul(r24842, r24828, r24841, MPFR_RNDN);
        mpfr_mul(r24843, r24842, r24841, MPFR_RNDN);
        mpfr_set_d(r24844, U_, MPFR_RNDN);
        mpfr_sub(r24845, r24833, r24844, MPFR_RNDN);
        mpfr_mul(r24846, r24843, r24845, MPFR_RNDN);
        mpfr_sub(r24847, r24840, r24846, MPFR_RNDN);
        mpfr_mul(r24848, r24833, r24847, MPFR_RNDN);
        mpfr_mul(r24849, r24832, r24848, MPFR_RNDN);
        mpfr_sqrt(r24850, r24849, MPFR_RNDN);
        mpfr_sqrt(r24851, r24832, MPFR_RNDN);
        mpfr_mul(r24852, r24835, r24835, MPFR_RNDN);
        mpfr_div(r24853, r24852, r24836, MPFR_RNDN);
        mpfr_mul(r24854, r24831, r24853, MPFR_RNDN);
        mpfr_sub(r24855, r24834, r24854, MPFR_RNDN);
        mpfr_sub(r24856, r24855, r24846, MPFR_RNDN);
        mpfr_mul(r24857, r24833, r24856, MPFR_RNDN);
        mpfr_sqrt(r24858, r24857, MPFR_RNDN);
        mpfr_mul(r24859, r24851, r24858, MPFR_RNDN);
        if (mpfr_get_si(r24830, MPFR_RNDN)) { mpfr_set(r24860, r24850, MPFR_RNDN); } else { mpfr_set(r24860, r24859, MPFR_RNDN); };
        return mpfr_get_d(r24860, MPFR_RNDN);
}

