#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (3a)";

double f_if(float l, float Om, float kx, float ky) {
        float r24703 = 1;
        float r24704 = 2;
        float r24705 = r24703 / r24704;
        float r24706 = l;
        float r24707 = r24704 * r24706;
        float r24708 = Om;
        float r24709 = r24707 / r24708;
        float r24710 = pow(r24709, r24704);
        float r24711 = kx;
        float r24712 = sin(r24711);
        float r24713 = pow(r24712, r24704);
        float r24714 = ky;
        float r24715 = sin(r24714);
        float r24716 = pow(r24715, r24704);
        float r24717 = r24713 + r24716;
        float r24718 = r24710 * r24717;
        float r24719 = r24703 + r24718;
        float r24720 = sqrt(r24719);
        float r24721 = r24703 / r24720;
        float r24722 = r24703 + r24721;
        float r24723 = r24705 * r24722;
        float r24724 = sqrt(r24723);
        return r24724;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24725 = 1;
        double r24726 = 2;
        double r24727 = r24725 / r24726;
        double r24728 = l;
        double r24729 = r24726 * r24728;
        double r24730 = Om;
        double r24731 = r24729 / r24730;
        double r24732 = pow(r24731, r24726);
        double r24733 = kx;
        double r24734 = sin(r24733);
        double r24735 = pow(r24734, r24726);
        double r24736 = ky;
        double r24737 = sin(r24736);
        double r24738 = pow(r24737, r24726);
        double r24739 = r24735 + r24738;
        double r24740 = r24732 * r24739;
        double r24741 = r24725 + r24740;
        double r24742 = sqrt(r24741);
        double r24743 = r24725 / r24742;
        double r24744 = r24725 + r24743;
        double r24745 = r24727 * r24744;
        double r24746 = sqrt(r24745);
        return r24746;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24747 = 2;
        float r24748 = l;
        float r24749 = r24747 * r24748;
        float r24750 = Om;
        float r24751 = r24749 / r24750;
        float r24752 = 1.4478116345208037e+174;
        bool r24753 = r24751 <= r24752;
        float r24754 = 1;
        float r24755 = r24754 / r24747;
        float r24756 = kx;
        float r24757 = sin(r24756);
        float r24758 = pow(r24757, r24747);
        float r24759 = ky;
        float r24760 = sin(r24759);
        float r24761 = pow(r24760, r24747);
        float r24762 = r24758 + r24761;
        float r24763 = r24751 * r24762;
        float r24764 = r24751 * r24763;
        float r24765 = r24754 + r24764;
        float r24766 = sqrt(r24765);
        float r24767 = r24754 / r24766;
        float r24768 = r24754 + r24767;
        float r24769 = r24755 * r24768;
        float r24770 = sqrt(r24769);
        float r24771 = sqrt(r24755);
        float r24772 = r24753 ? r24770 : r24771;
        return r24772;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24773 = 2;
        double r24774 = l;
        double r24775 = r24773 * r24774;
        double r24776 = Om;
        double r24777 = r24775 / r24776;
        double r24778 = 1.4478116345208037e+174;
        bool r24779 = r24777 <= r24778;
        double r24780 = 1;
        double r24781 = r24780 / r24773;
        double r24782 = kx;
        double r24783 = sin(r24782);
        double r24784 = pow(r24783, r24773);
        double r24785 = ky;
        double r24786 = sin(r24785);
        double r24787 = pow(r24786, r24773);
        double r24788 = r24784 + r24787;
        double r24789 = r24777 * r24788;
        double r24790 = r24777 * r24789;
        double r24791 = r24780 + r24790;
        double r24792 = sqrt(r24791);
        double r24793 = r24780 / r24792;
        double r24794 = r24780 + r24793;
        double r24795 = r24781 * r24794;
        double r24796 = sqrt(r24795);
        double r24797 = sqrt(r24781);
        double r24798 = r24779 ? r24796 : r24797;
        return r24798;
}

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 r24799, r24800, r24801, r24802, r24803, r24804, r24805, r24806, r24807, r24808, r24809, r24810, r24811, r24812, r24813, r24814, r24815, r24816, r24817, r24818, r24819, r24820;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24799, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24800, "2", 10, MPFR_RNDN);
        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);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24801, r24799, r24800, MPFR_RNDN);
        mpfr_set_d(r24802, l, MPFR_RNDN);
        mpfr_mul(r24803, r24800, r24802, MPFR_RNDN);
        mpfr_set_d(r24804, Om, MPFR_RNDN);
        mpfr_div(r24805, r24803, r24804, MPFR_RNDN);
        mpfr_pow(r24806, r24805, r24800, MPFR_RNDN);
        mpfr_set_d(r24807, kx, MPFR_RNDN);
        mpfr_sin(r24808, r24807, MPFR_RNDN);
        mpfr_pow(r24809, r24808, r24800, MPFR_RNDN);
        mpfr_set_d(r24810, ky, MPFR_RNDN);
        mpfr_sin(r24811, r24810, MPFR_RNDN);
        mpfr_pow(r24812, r24811, r24800, MPFR_RNDN);
        mpfr_add(r24813, r24809, r24812, MPFR_RNDN);
        mpfr_mul(r24814, r24806, r24813, MPFR_RNDN);
        mpfr_add(r24815, r24799, r24814, MPFR_RNDN);
        mpfr_sqrt(r24816, r24815, MPFR_RNDN);
        mpfr_div(r24817, r24799, r24816, MPFR_RNDN);
        mpfr_add(r24818, r24799, r24817, MPFR_RNDN);
        mpfr_mul(r24819, r24801, r24818, MPFR_RNDN);
        mpfr_sqrt(r24820, r24819, MPFR_RNDN);
        return mpfr_get_d(r24820, MPFR_RNDN);
}

static mpfr_t r24821, r24822, r24823, r24824, r24825, r24826, r24827, r24828, r24829, r24830, r24831, r24832, r24833, r24834, r24835, r24836, r24837, r24838, r24839, r24840, r24841, r24842, r24843, r24844, r24845, r24846;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24821, "2", 10, MPFR_RNDN);
        mpfr_init(r24822);
        mpfr_init(r24823);
        mpfr_init(r24824);
        mpfr_init(r24825);
        mpfr_init_set_str(r24826, "1.4478116345208037e+174", 10, MPFR_RNDN);
        mpfr_init(r24827);
        mpfr_init_set_str(r24828, "1", 10, MPFR_RNDN);
        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);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        mpfr_set_d(r24822, l, MPFR_RNDN);
        mpfr_mul(r24823, r24821, r24822, MPFR_RNDN);
        mpfr_set_d(r24824, Om, MPFR_RNDN);
        mpfr_div(r24825, r24823, r24824, MPFR_RNDN);
        ;
        mpfr_set_si(r24827, mpfr_cmp(r24825, r24826) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r24829, r24828, r24821, MPFR_RNDN);
        mpfr_set_d(r24830, kx, MPFR_RNDN);
        mpfr_sin(r24831, r24830, MPFR_RNDN);
        mpfr_pow(r24832, r24831, r24821, MPFR_RNDN);
        mpfr_set_d(r24833, ky, MPFR_RNDN);
        mpfr_sin(r24834, r24833, MPFR_RNDN);
        mpfr_pow(r24835, r24834, r24821, MPFR_RNDN);
        mpfr_add(r24836, r24832, r24835, MPFR_RNDN);
        mpfr_mul(r24837, r24825, r24836, MPFR_RNDN);
        mpfr_mul(r24838, r24825, r24837, MPFR_RNDN);
        mpfr_add(r24839, r24828, r24838, MPFR_RNDN);
        mpfr_sqrt(r24840, r24839, MPFR_RNDN);
        mpfr_div(r24841, r24828, r24840, MPFR_RNDN);
        mpfr_add(r24842, r24828, r24841, MPFR_RNDN);
        mpfr_mul(r24843, r24829, r24842, MPFR_RNDN);
        mpfr_sqrt(r24844, r24843, MPFR_RNDN);
        mpfr_sqrt(r24845, r24829, MPFR_RNDN);
        if (mpfr_get_si(r24827, MPFR_RNDN)) { mpfr_set(r24846, r24844, MPFR_RNDN); } else { mpfr_set(r24846, r24845, MPFR_RNDN); };
        return mpfr_get_d(r24846, MPFR_RNDN);
}

static mpfr_t r24847, r24848, r24849, r24850, r24851, r24852, r24853, r24854, r24855, r24856, r24857, r24858, r24859, r24860, r24861, r24862, r24863, r24864, r24865, r24866, r24867, r24868, r24869, r24870, r24871, r24872;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24847, "2", 10, MPFR_RNDN);
        mpfr_init(r24848);
        mpfr_init(r24849);
        mpfr_init(r24850);
        mpfr_init(r24851);
        mpfr_init_set_str(r24852, "1.4478116345208037e+174", 10, MPFR_RNDN);
        mpfr_init(r24853);
        mpfr_init_set_str(r24854, "1", 10, MPFR_RNDN);
        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);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        mpfr_set_d(r24848, l, MPFR_RNDN);
        mpfr_mul(r24849, r24847, r24848, MPFR_RNDN);
        mpfr_set_d(r24850, Om, MPFR_RNDN);
        mpfr_div(r24851, r24849, r24850, MPFR_RNDN);
        ;
        mpfr_set_si(r24853, mpfr_cmp(r24851, r24852) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r24855, r24854, r24847, MPFR_RNDN);
        mpfr_set_d(r24856, kx, MPFR_RNDN);
        mpfr_sin(r24857, r24856, MPFR_RNDN);
        mpfr_pow(r24858, r24857, r24847, MPFR_RNDN);
        mpfr_set_d(r24859, ky, MPFR_RNDN);
        mpfr_sin(r24860, r24859, MPFR_RNDN);
        mpfr_pow(r24861, r24860, r24847, MPFR_RNDN);
        mpfr_add(r24862, r24858, r24861, MPFR_RNDN);
        mpfr_mul(r24863, r24851, r24862, MPFR_RNDN);
        mpfr_mul(r24864, r24851, r24863, MPFR_RNDN);
        mpfr_add(r24865, r24854, r24864, MPFR_RNDN);
        mpfr_sqrt(r24866, r24865, MPFR_RNDN);
        mpfr_div(r24867, r24854, r24866, MPFR_RNDN);
        mpfr_add(r24868, r24854, r24867, MPFR_RNDN);
        mpfr_mul(r24869, r24855, r24868, MPFR_RNDN);
        mpfr_sqrt(r24870, r24869, MPFR_RNDN);
        mpfr_sqrt(r24871, r24855, MPFR_RNDN);
        if (mpfr_get_si(r24853, MPFR_RNDN)) { mpfr_set(r24872, r24870, MPFR_RNDN); } else { mpfr_set(r24872, r24871, MPFR_RNDN); };
        return mpfr_get_d(r24872, MPFR_RNDN);
}