#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 r24786 = 2;
        float r24787 = n;
        float r24788 = r24786 * r24787;
        float r24789 = U;
        float r24790 = r24788 * r24789;
        float r24791 = t;
        float r24792 = l;
        float r24793 = r24792 * r24792;
        float r24794 = Om;
        float r24795 = r24793 / r24794;
        float r24796 = r24786 * r24795;
        float r24797 = r24791 - r24796;
        float r24798 = r24792 / r24794;
        float r24799 = pow(r24798, r24786);
        float r24800 = r24787 * r24799;
        float r24801 = U_;
        float r24802 = r24789 - r24801;
        float r24803 = r24800 * r24802;
        float r24804 = r24797 - r24803;
        float r24805 = r24790 * r24804;
        float r24806 = sqrt(r24805);
        return r24806;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24807 = 2;
        double r24808 = n;
        double r24809 = r24807 * r24808;
        double r24810 = U;
        double r24811 = r24809 * r24810;
        double r24812 = t;
        double r24813 = l;
        double r24814 = r24813 * r24813;
        double r24815 = Om;
        double r24816 = r24814 / r24815;
        double r24817 = r24807 * r24816;
        double r24818 = r24812 - r24817;
        double r24819 = r24813 / r24815;
        double r24820 = pow(r24819, r24807);
        double r24821 = r24808 * r24820;
        double r24822 = U_;
        double r24823 = r24810 - r24822;
        double r24824 = r24821 * r24823;
        double r24825 = r24818 - r24824;
        double r24826 = r24811 * r24825;
        double r24827 = sqrt(r24826);
        return r24827;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24828 = n;
        float r24829 = 1.0112170135790667e-290;
        bool r24830 = r24828 <= r24829;
        float r24831 = 2;
        float r24832 = r24831 * r24828;
        float r24833 = U;
        float r24834 = t;
        float r24835 = l;
        float r24836 = Om;
        float r24837 = r24836 / r24835;
        float r24838 = r24835 / r24837;
        float r24839 = r24831 * r24838;
        float r24840 = r24834 - r24839;
        float r24841 = r24835 / r24836;
        float r24842 = r24828 * r24841;
        float r24843 = r24842 * r24841;
        float r24844 = U_;
        float r24845 = r24833 - r24844;
        float r24846 = r24843 * r24845;
        float r24847 = r24840 - r24846;
        float r24848 = r24833 * r24847;
        float r24849 = r24832 * r24848;
        float r24850 = sqrt(r24849);
        float r24851 = sqrt(r24832);
        float r24852 = sqrt(r24848);
        float r24853 = r24851 * r24852;
        float r24854 = r24830 ? r24850 : r24853;
        return r24854;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24855 = n;
        double r24856 = 1.0112170135790667e-290;
        bool r24857 = r24855 <= r24856;
        double r24858 = 2;
        double r24859 = r24858 * r24855;
        double r24860 = U;
        double r24861 = t;
        double r24862 = l;
        double r24863 = Om;
        double r24864 = r24863 / r24862;
        double r24865 = r24862 / r24864;
        double r24866 = r24858 * r24865;
        double r24867 = r24861 - r24866;
        double r24868 = r24862 / r24863;
        double r24869 = r24855 * r24868;
        double r24870 = r24869 * r24868;
        double r24871 = U_;
        double r24872 = r24860 - r24871;
        double r24873 = r24870 * r24872;
        double r24874 = r24867 - r24873;
        double r24875 = r24860 * r24874;
        double r24876 = r24859 * r24875;
        double r24877 = sqrt(r24876);
        double r24878 = sqrt(r24859);
        double r24879 = sqrt(r24875);
        double r24880 = r24878 * r24879;
        double r24881 = r24857 ? r24877 : r24880;
        return r24881;
}

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 r24882, r24883, r24884, r24885, r24886, r24887, r24888, r24889, r24890, r24891, r24892, r24893, r24894, r24895, r24896, r24897, r24898, r24899, r24900, r24901, r24902;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24882, "2", 10, MPFR_RNDN);
        mpfr_init(r24883);
        mpfr_init(r24884);
        mpfr_init(r24885);
        mpfr_init(r24886);
        mpfr_init(r24887);
        mpfr_init(r24888);
        mpfr_init(r24889);
        mpfr_init(r24890);
        mpfr_init(r24891);
        mpfr_init(r24892);
        mpfr_init(r24893);
        mpfr_init(r24894);
        mpfr_init(r24895);
        mpfr_init(r24896);
        mpfr_init(r24897);
        mpfr_init(r24898);
        mpfr_init(r24899);
        mpfr_init(r24900);
        mpfr_init(r24901);
        mpfr_init(r24902);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24883, n, MPFR_RNDN);
        mpfr_mul(r24884, r24882, r24883, MPFR_RNDN);
        mpfr_set_d(r24885, U, MPFR_RNDN);
        mpfr_mul(r24886, r24884, r24885, MPFR_RNDN);
        mpfr_set_d(r24887, t, MPFR_RNDN);
        mpfr_set_d(r24888, l, MPFR_RNDN);
        mpfr_mul(r24889, r24888, r24888, MPFR_RNDN);
        mpfr_set_d(r24890, Om, MPFR_RNDN);
        mpfr_div(r24891, r24889, r24890, MPFR_RNDN);
        mpfr_mul(r24892, r24882, r24891, MPFR_RNDN);
        mpfr_sub(r24893, r24887, r24892, MPFR_RNDN);
        mpfr_div(r24894, r24888, r24890, MPFR_RNDN);
        mpfr_pow(r24895, r24894, r24882, MPFR_RNDN);
        mpfr_mul(r24896, r24883, r24895, MPFR_RNDN);
        mpfr_set_d(r24897, U_, MPFR_RNDN);
        mpfr_sub(r24898, r24885, r24897, MPFR_RNDN);
        mpfr_mul(r24899, r24896, r24898, MPFR_RNDN);
        mpfr_sub(r24900, r24893, r24899, MPFR_RNDN);
        mpfr_mul(r24901, r24886, r24900, MPFR_RNDN);
        mpfr_sqrt(r24902, r24901, MPFR_RNDN);
        return mpfr_get_d(r24902, MPFR_RNDN);
}

static mpfr_t r24903, r24904, r24905, r24906, r24907, r24908, r24909, r24910, r24911, r24912, r24913, r24914, r24915, r24916, r24917, r24918, r24919, r24920, r24921, r24922, r24923, r24924, r24925, r24926, r24927, r24928, r24929;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24903);
        mpfr_init_set_str(r24904, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24905);
        mpfr_init_set_str(r24906, "2", 10, MPFR_RNDN);
        mpfr_init(r24907);
        mpfr_init(r24908);
        mpfr_init(r24909);
        mpfr_init(r24910);
        mpfr_init(r24911);
        mpfr_init(r24912);
        mpfr_init(r24913);
        mpfr_init(r24914);
        mpfr_init(r24915);
        mpfr_init(r24916);
        mpfr_init(r24917);
        mpfr_init(r24918);
        mpfr_init(r24919);
        mpfr_init(r24920);
        mpfr_init(r24921);
        mpfr_init(r24922);
        mpfr_init(r24923);
        mpfr_init(r24924);
        mpfr_init(r24925);
        mpfr_init(r24926);
        mpfr_init(r24927);
        mpfr_init(r24928);
        mpfr_init(r24929);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24903, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24905, mpfr_cmp(r24903, r24904) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24907, r24906, r24903, MPFR_RNDN);
        mpfr_set_d(r24908, U, MPFR_RNDN);
        mpfr_set_d(r24909, t, MPFR_RNDN);
        mpfr_set_d(r24910, l, MPFR_RNDN);
        mpfr_set_d(r24911, Om, MPFR_RNDN);
        mpfr_div(r24912, r24911, r24910, MPFR_RNDN);
        mpfr_div(r24913, r24910, r24912, MPFR_RNDN);
        mpfr_mul(r24914, r24906, r24913, MPFR_RNDN);
        mpfr_sub(r24915, r24909, r24914, MPFR_RNDN);
        mpfr_div(r24916, r24910, r24911, MPFR_RNDN);
        mpfr_mul(r24917, r24903, r24916, MPFR_RNDN);
        mpfr_mul(r24918, r24917, r24916, MPFR_RNDN);
        mpfr_set_d(r24919, U_, MPFR_RNDN);
        mpfr_sub(r24920, r24908, r24919, MPFR_RNDN);
        mpfr_mul(r24921, r24918, r24920, MPFR_RNDN);
        mpfr_sub(r24922, r24915, r24921, MPFR_RNDN);
        mpfr_mul(r24923, r24908, r24922, MPFR_RNDN);
        mpfr_mul(r24924, r24907, r24923, MPFR_RNDN);
        mpfr_sqrt(r24925, r24924, MPFR_RNDN);
        mpfr_sqrt(r24926, r24907, MPFR_RNDN);
        mpfr_sqrt(r24927, r24923, MPFR_RNDN);
        mpfr_mul(r24928, r24926, r24927, MPFR_RNDN);
        if (mpfr_get_si(r24905, MPFR_RNDN)) { mpfr_set(r24929, r24925, MPFR_RNDN); } else { mpfr_set(r24929, r24928, MPFR_RNDN); };
        return mpfr_get_d(r24929, MPFR_RNDN);
}

static mpfr_t r24930, r24931, r24932, r24933, r24934, r24935, r24936, r24937, r24938, r24939, r24940, r24941, r24942, r24943, r24944, r24945, r24946, r24947, r24948, r24949, r24950, r24951, r24952, r24953, r24954, r24955, r24956;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24930);
        mpfr_init_set_str(r24931, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24932);
        mpfr_init_set_str(r24933, "2", 10, MPFR_RNDN);
        mpfr_init(r24934);
        mpfr_init(r24935);
        mpfr_init(r24936);
        mpfr_init(r24937);
        mpfr_init(r24938);
        mpfr_init(r24939);
        mpfr_init(r24940);
        mpfr_init(r24941);
        mpfr_init(r24942);
        mpfr_init(r24943);
        mpfr_init(r24944);
        mpfr_init(r24945);
        mpfr_init(r24946);
        mpfr_init(r24947);
        mpfr_init(r24948);
        mpfr_init(r24949);
        mpfr_init(r24950);
        mpfr_init(r24951);
        mpfr_init(r24952);
        mpfr_init(r24953);
        mpfr_init(r24954);
        mpfr_init(r24955);
        mpfr_init(r24956);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24930, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24932, mpfr_cmp(r24930, r24931) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24934, r24933, r24930, MPFR_RNDN);
        mpfr_set_d(r24935, U, MPFR_RNDN);
        mpfr_set_d(r24936, t, MPFR_RNDN);
        mpfr_set_d(r24937, l, MPFR_RNDN);
        mpfr_set_d(r24938, Om, MPFR_RNDN);
        mpfr_div(r24939, r24938, r24937, MPFR_RNDN);
        mpfr_div(r24940, r24937, r24939, MPFR_RNDN);
        mpfr_mul(r24941, r24933, r24940, MPFR_RNDN);
        mpfr_sub(r24942, r24936, r24941, MPFR_RNDN);
        mpfr_div(r24943, r24937, r24938, MPFR_RNDN);
        mpfr_mul(r24944, r24930, r24943, MPFR_RNDN);
        mpfr_mul(r24945, r24944, r24943, MPFR_RNDN);
        mpfr_set_d(r24946, U_, MPFR_RNDN);
        mpfr_sub(r24947, r24935, r24946, MPFR_RNDN);
        mpfr_mul(r24948, r24945, r24947, MPFR_RNDN);
        mpfr_sub(r24949, r24942, r24948, MPFR_RNDN);
        mpfr_mul(r24950, r24935, r24949, MPFR_RNDN);
        mpfr_mul(r24951, r24934, r24950, MPFR_RNDN);
        mpfr_sqrt(r24952, r24951, MPFR_RNDN);
        mpfr_sqrt(r24953, r24934, MPFR_RNDN);
        mpfr_sqrt(r24954, r24950, MPFR_RNDN);
        mpfr_mul(r24955, r24953, r24954, MPFR_RNDN);
        if (mpfr_get_si(r24932, MPFR_RNDN)) { mpfr_set(r24956, r24952, MPFR_RNDN); } else { mpfr_set(r24956, r24955, MPFR_RNDN); };
        return mpfr_get_d(r24956, MPFR_RNDN);
}