#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 r24759 = 2;
        float r24760 = n;
        float r24761 = r24759 * r24760;
        float r24762 = U;
        float r24763 = r24761 * r24762;
        float r24764 = t;
        float r24765 = l;
        float r24766 = r24765 * r24765;
        float r24767 = Om;
        float r24768 = r24766 / r24767;
        float r24769 = r24759 * r24768;
        float r24770 = r24764 - r24769;
        float r24771 = r24765 / r24767;
        float r24772 = pow(r24771, r24759);
        float r24773 = r24760 * r24772;
        float r24774 = U_;
        float r24775 = r24762 - r24774;
        float r24776 = r24773 * r24775;
        float r24777 = r24770 - r24776;
        float r24778 = r24763 * r24777;
        float r24779 = sqrt(r24778);
        return r24779;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24780 = 2;
        double r24781 = n;
        double r24782 = r24780 * r24781;
        double r24783 = U;
        double r24784 = r24782 * r24783;
        double r24785 = t;
        double r24786 = l;
        double r24787 = r24786 * r24786;
        double r24788 = Om;
        double r24789 = r24787 / r24788;
        double r24790 = r24780 * r24789;
        double r24791 = r24785 - r24790;
        double r24792 = r24786 / r24788;
        double r24793 = pow(r24792, r24780);
        double r24794 = r24781 * r24793;
        double r24795 = U_;
        double r24796 = r24783 - r24795;
        double r24797 = r24794 * r24796;
        double r24798 = r24791 - r24797;
        double r24799 = r24784 * r24798;
        double r24800 = sqrt(r24799);
        return r24800;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24801 = U;
        float r24802 = n;
        float r24803 = r24801 * r24802;
        float r24804 = 2;
        float r24805 = r24803 * r24804;
        float r24806 = l;
        float r24807 = Om;
        float r24808 = r24806 / r24807;
        float r24809 = U_;
        float r24810 = r24809 - r24801;
        float r24811 = r24808 * r24802;
        float r24812 = r24810 * r24811;
        float r24813 = t;
        float r24814 = r24806 * r24804;
        float r24815 = r24814 * r24808;
        float r24816 = r24813 - r24815;
        float r24817 = fma(r24808, r24812, r24816);
        float r24818 = r24805 * r24817;
        float r24819 = 0;
        float r24820 = r24819 * r24802;
        float r24821 = r24801 * r24804;
        float r24822 = r24820 * r24821;
        float r24823 = r24818 + r24822;
        float r24824 = sqrt(r24823);
        float r24825 = 0.0;
        bool r24826 = r24824 <= r24825;
        float r24827 = r24804 * r24802;
        float r24828 = sqrt(r24827);
        float r24829 = r24807 / r24806;
        float r24830 = r24806 / r24829;
        float r24831 = r24804 * r24830;
        float r24832 = r24813 - r24831;
        float r24833 = pow(r24808, r24804);
        float r24834 = r24802 * r24833;
        float r24835 = r24801 - r24809;
        float r24836 = r24834 * r24835;
        float r24837 = r24832 - r24836;
        float r24838 = r24801 * r24837;
        float r24839 = sqrt(r24838);
        float r24840 = r24828 * r24839;
        float r24841 = 1.2771012058905121e+138;
        bool r24842 = r24824 <= r24841;
        float r24843 = r24827 * r24801;
        float r24844 = sqrt(r24843);
        float r24845 = sqrt(r24837);
        float r24846 = r24844 * r24845;
        float r24847 = r24842 ? r24824 : r24846;
        float r24848 = r24826 ? r24840 : r24847;
        return r24848;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24849 = U;
        double r24850 = n;
        double r24851 = r24849 * r24850;
        double r24852 = 2;
        double r24853 = r24851 * r24852;
        double r24854 = l;
        double r24855 = Om;
        double r24856 = r24854 / r24855;
        double r24857 = U_;
        double r24858 = r24857 - r24849;
        double r24859 = r24856 * r24850;
        double r24860 = r24858 * r24859;
        double r24861 = t;
        double r24862 = r24854 * r24852;
        double r24863 = r24862 * r24856;
        double r24864 = r24861 - r24863;
        double r24865 = fma(r24856, r24860, r24864);
        double r24866 = r24853 * r24865;
        double r24867 = 0;
        double r24868 = r24867 * r24850;
        double r24869 = r24849 * r24852;
        double r24870 = r24868 * r24869;
        double r24871 = r24866 + r24870;
        double r24872 = sqrt(r24871);
        double r24873 = 0.0;
        bool r24874 = r24872 <= r24873;
        double r24875 = r24852 * r24850;
        double r24876 = sqrt(r24875);
        double r24877 = r24855 / r24854;
        double r24878 = r24854 / r24877;
        double r24879 = r24852 * r24878;
        double r24880 = r24861 - r24879;
        double r24881 = pow(r24856, r24852);
        double r24882 = r24850 * r24881;
        double r24883 = r24849 - r24857;
        double r24884 = r24882 * r24883;
        double r24885 = r24880 - r24884;
        double r24886 = r24849 * r24885;
        double r24887 = sqrt(r24886);
        double r24888 = r24876 * r24887;
        double r24889 = 1.2771012058905121e+138;
        bool r24890 = r24872 <= r24889;
        double r24891 = r24875 * r24849;
        double r24892 = sqrt(r24891);
        double r24893 = sqrt(r24885);
        double r24894 = r24892 * r24893;
        double r24895 = r24890 ? r24872 : r24894;
        double r24896 = r24874 ? r24888 : r24895;
        return r24896;
}

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 r24897, r24898, r24899, r24900, r24901, r24902, r24903, r24904, r24905, r24906, r24907, r24908, r24909, r24910, r24911, r24912, r24913, r24914, r24915, r24916, r24917;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24897, "2", 10, MPFR_RNDN);
        mpfr_init(r24898);
        mpfr_init(r24899);
        mpfr_init(r24900);
        mpfr_init(r24901);
        mpfr_init(r24902);
        mpfr_init(r24903);
        mpfr_init(r24904);
        mpfr_init(r24905);
        mpfr_init(r24906);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24898, n, MPFR_RNDN);
        mpfr_mul(r24899, r24897, r24898, MPFR_RNDN);
        mpfr_set_d(r24900, U, MPFR_RNDN);
        mpfr_mul(r24901, r24899, r24900, MPFR_RNDN);
        mpfr_set_d(r24902, t, MPFR_RNDN);
        mpfr_set_d(r24903, l, MPFR_RNDN);
        mpfr_mul(r24904, r24903, r24903, MPFR_RNDN);
        mpfr_set_d(r24905, Om, MPFR_RNDN);
        mpfr_div(r24906, r24904, r24905, MPFR_RNDN);
        mpfr_mul(r24907, r24897, r24906, MPFR_RNDN);
        mpfr_sub(r24908, r24902, r24907, MPFR_RNDN);
        mpfr_div(r24909, r24903, r24905, MPFR_RNDN);
        mpfr_pow(r24910, r24909, r24897, MPFR_RNDN);
        mpfr_mul(r24911, r24898, r24910, MPFR_RNDN);
        mpfr_set_d(r24912, U_, MPFR_RNDN);
        mpfr_sub(r24913, r24900, r24912, MPFR_RNDN);
        mpfr_mul(r24914, r24911, r24913, MPFR_RNDN);
        mpfr_sub(r24915, r24908, r24914, MPFR_RNDN);
        mpfr_mul(r24916, r24901, r24915, MPFR_RNDN);
        mpfr_sqrt(r24917, r24916, MPFR_RNDN);
        return mpfr_get_d(r24917, MPFR_RNDN);
}

static mpfr_t r24918, r24919, r24920, r24921, r24922, r24923, r24924, r24925, r24926, r24927, r24928, r24929, 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, r24957, r24958, r24959, r24960, r24961, r24962, r24963, r24964, r24965;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24918);
        mpfr_init(r24919);
        mpfr_init(r24920);
        mpfr_init_set_str(r24921, "2", 10, MPFR_RNDN);
        mpfr_init(r24922);
        mpfr_init(r24923);
        mpfr_init(r24924);
        mpfr_init(r24925);
        mpfr_init(r24926);
        mpfr_init(r24927);
        mpfr_init(r24928);
        mpfr_init(r24929);
        mpfr_init(r24930);
        mpfr_init(r24931);
        mpfr_init(r24932);
        mpfr_init(r24933);
        mpfr_init(r24934);
        mpfr_init(r24935);
        mpfr_init_set_str(r24936, "0", 10, MPFR_RNDN);
        mpfr_init(r24937);
        mpfr_init(r24938);
        mpfr_init(r24939);
        mpfr_init(r24940);
        mpfr_init(r24941);
        mpfr_init_set_str(r24942, "0.0", 10, MPFR_RNDN);
        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);
        mpfr_init(r24957);
        mpfr_init_set_str(r24958, "1.2771012058905121e+138", 10, MPFR_RNDN);
        mpfr_init(r24959);
        mpfr_init(r24960);
        mpfr_init(r24961);
        mpfr_init(r24962);
        mpfr_init(r24963);
        mpfr_init(r24964);
        mpfr_init(r24965);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24918, U, MPFR_RNDN);
        mpfr_set_d(r24919, n, MPFR_RNDN);
        mpfr_mul(r24920, r24918, r24919, MPFR_RNDN);
        ;
        mpfr_mul(r24922, r24920, r24921, MPFR_RNDN);
        mpfr_set_d(r24923, l, MPFR_RNDN);
        mpfr_set_d(r24924, Om, MPFR_RNDN);
        mpfr_div(r24925, r24923, r24924, MPFR_RNDN);
        mpfr_set_d(r24926, U_, MPFR_RNDN);
        mpfr_sub(r24927, r24926, r24918, MPFR_RNDN);
        mpfr_mul(r24928, r24925, r24919, MPFR_RNDN);
        mpfr_mul(r24929, r24927, r24928, MPFR_RNDN);
        mpfr_set_d(r24930, t, MPFR_RNDN);
        mpfr_mul(r24931, r24923, r24921, MPFR_RNDN);
        mpfr_mul(r24932, r24931, r24925, MPFR_RNDN);
        mpfr_sub(r24933, r24930, r24932, MPFR_RNDN);
        mpfr_fma(r24934, r24925, r24929, r24933, MPFR_RNDN);
        mpfr_mul(r24935, r24922, r24934, MPFR_RNDN);
        ;
        mpfr_mul(r24937, r24936, r24919, MPFR_RNDN);
        mpfr_mul(r24938, r24918, r24921, MPFR_RNDN);
        mpfr_mul(r24939, r24937, r24938, MPFR_RNDN);
        mpfr_add(r24940, r24935, r24939, MPFR_RNDN);
        mpfr_sqrt(r24941, r24940, MPFR_RNDN);
        ;
        mpfr_set_si(r24943, mpfr_cmp(r24941, r24942) <= 0, MPFR_RNDN);
        mpfr_mul(r24944, r24921, r24919, MPFR_RNDN);
        mpfr_sqrt(r24945, r24944, MPFR_RNDN);
        mpfr_div(r24946, r24924, r24923, MPFR_RNDN);
        mpfr_div(r24947, r24923, r24946, MPFR_RNDN);
        mpfr_mul(r24948, r24921, r24947, MPFR_RNDN);
        mpfr_sub(r24949, r24930, r24948, MPFR_RNDN);
        mpfr_pow(r24950, r24925, r24921, MPFR_RNDN);
        mpfr_mul(r24951, r24919, r24950, MPFR_RNDN);
        mpfr_sub(r24952, r24918, r24926, MPFR_RNDN);
        mpfr_mul(r24953, r24951, r24952, MPFR_RNDN);
        mpfr_sub(r24954, r24949, r24953, MPFR_RNDN);
        mpfr_mul(r24955, r24918, r24954, MPFR_RNDN);
        mpfr_sqrt(r24956, r24955, MPFR_RNDN);
        mpfr_mul(r24957, r24945, r24956, MPFR_RNDN);
        ;
        mpfr_set_si(r24959, mpfr_cmp(r24941, r24958) <= 0, MPFR_RNDN);
        mpfr_mul(r24960, r24944, r24918, MPFR_RNDN);
        mpfr_sqrt(r24961, r24960, MPFR_RNDN);
        mpfr_sqrt(r24962, r24954, MPFR_RNDN);
        mpfr_mul(r24963, r24961, r24962, MPFR_RNDN);
        if (mpfr_get_si(r24959, MPFR_RNDN)) { mpfr_set(r24964, r24941, MPFR_RNDN); } else { mpfr_set(r24964, r24963, MPFR_RNDN); };
        if (mpfr_get_si(r24943, MPFR_RNDN)) { mpfr_set(r24965, r24957, MPFR_RNDN); } else { mpfr_set(r24965, r24964, MPFR_RNDN); };
        return mpfr_get_d(r24965, MPFR_RNDN);
}

static mpfr_t r24966, r24967, r24968, r24969, r24970, r24971, r24972, r24973, r24974, r24975, r24976, r24977, r24978, r24979, r24980, r24981, r24982, r24983, r24984, r24985, r24986, r24987, r24988, r24989, r24990, r24991, r24992, r24993, r24994, r24995, r24996, r24997, r24998, r24999, r25000, r25001, r25002, r25003, r25004, r25005, r25006, r25007, r25008, r25009, r25010, r25011, r25012, r25013;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24966);
        mpfr_init(r24967);
        mpfr_init(r24968);
        mpfr_init_set_str(r24969, "2", 10, MPFR_RNDN);
        mpfr_init(r24970);
        mpfr_init(r24971);
        mpfr_init(r24972);
        mpfr_init(r24973);
        mpfr_init(r24974);
        mpfr_init(r24975);
        mpfr_init(r24976);
        mpfr_init(r24977);
        mpfr_init(r24978);
        mpfr_init(r24979);
        mpfr_init(r24980);
        mpfr_init(r24981);
        mpfr_init(r24982);
        mpfr_init(r24983);
        mpfr_init_set_str(r24984, "0", 10, MPFR_RNDN);
        mpfr_init(r24985);
        mpfr_init(r24986);
        mpfr_init(r24987);
        mpfr_init(r24988);
        mpfr_init(r24989);
        mpfr_init_set_str(r24990, "0.0", 10, MPFR_RNDN);
        mpfr_init(r24991);
        mpfr_init(r24992);
        mpfr_init(r24993);
        mpfr_init(r24994);
        mpfr_init(r24995);
        mpfr_init(r24996);
        mpfr_init(r24997);
        mpfr_init(r24998);
        mpfr_init(r24999);
        mpfr_init(r25000);
        mpfr_init(r25001);
        mpfr_init(r25002);
        mpfr_init(r25003);
        mpfr_init(r25004);
        mpfr_init(r25005);
        mpfr_init_set_str(r25006, "1.2771012058905121e+138", 10, MPFR_RNDN);
        mpfr_init(r25007);
        mpfr_init(r25008);
        mpfr_init(r25009);
        mpfr_init(r25010);
        mpfr_init(r25011);
        mpfr_init(r25012);
        mpfr_init(r25013);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24966, U, MPFR_RNDN);
        mpfr_set_d(r24967, n, MPFR_RNDN);
        mpfr_mul(r24968, r24966, r24967, MPFR_RNDN);
        ;
        mpfr_mul(r24970, r24968, r24969, MPFR_RNDN);
        mpfr_set_d(r24971, l, MPFR_RNDN);
        mpfr_set_d(r24972, Om, MPFR_RNDN);
        mpfr_div(r24973, r24971, r24972, MPFR_RNDN);
        mpfr_set_d(r24974, U_, MPFR_RNDN);
        mpfr_sub(r24975, r24974, r24966, MPFR_RNDN);
        mpfr_mul(r24976, r24973, r24967, MPFR_RNDN);
        mpfr_mul(r24977, r24975, r24976, MPFR_RNDN);
        mpfr_set_d(r24978, t, MPFR_RNDN);
        mpfr_mul(r24979, r24971, r24969, MPFR_RNDN);
        mpfr_mul(r24980, r24979, r24973, MPFR_RNDN);
        mpfr_sub(r24981, r24978, r24980, MPFR_RNDN);
        mpfr_fma(r24982, r24973, r24977, r24981, MPFR_RNDN);
        mpfr_mul(r24983, r24970, r24982, MPFR_RNDN);
        ;
        mpfr_mul(r24985, r24984, r24967, MPFR_RNDN);
        mpfr_mul(r24986, r24966, r24969, MPFR_RNDN);
        mpfr_mul(r24987, r24985, r24986, MPFR_RNDN);
        mpfr_add(r24988, r24983, r24987, MPFR_RNDN);
        mpfr_sqrt(r24989, r24988, MPFR_RNDN);
        ;
        mpfr_set_si(r24991, mpfr_cmp(r24989, r24990) <= 0, MPFR_RNDN);
        mpfr_mul(r24992, r24969, r24967, MPFR_RNDN);
        mpfr_sqrt(r24993, r24992, MPFR_RNDN);
        mpfr_div(r24994, r24972, r24971, MPFR_RNDN);
        mpfr_div(r24995, r24971, r24994, MPFR_RNDN);
        mpfr_mul(r24996, r24969, r24995, MPFR_RNDN);
        mpfr_sub(r24997, r24978, r24996, MPFR_RNDN);
        mpfr_pow(r24998, r24973, r24969, MPFR_RNDN);
        mpfr_mul(r24999, r24967, r24998, MPFR_RNDN);
        mpfr_sub(r25000, r24966, r24974, MPFR_RNDN);
        mpfr_mul(r25001, r24999, r25000, MPFR_RNDN);
        mpfr_sub(r25002, r24997, r25001, MPFR_RNDN);
        mpfr_mul(r25003, r24966, r25002, MPFR_RNDN);
        mpfr_sqrt(r25004, r25003, MPFR_RNDN);
        mpfr_mul(r25005, r24993, r25004, MPFR_RNDN);
        ;
        mpfr_set_si(r25007, mpfr_cmp(r24989, r25006) <= 0, MPFR_RNDN);
        mpfr_mul(r25008, r24992, r24966, MPFR_RNDN);
        mpfr_sqrt(r25009, r25008, MPFR_RNDN);
        mpfr_sqrt(r25010, r25002, MPFR_RNDN);
        mpfr_mul(r25011, r25009, r25010, MPFR_RNDN);
        if (mpfr_get_si(r25007, MPFR_RNDN)) { mpfr_set(r25012, r24989, MPFR_RNDN); } else { mpfr_set(r25012, r25011, MPFR_RNDN); };
        if (mpfr_get_si(r24991, MPFR_RNDN)) { mpfr_set(r25013, r25005, MPFR_RNDN); } else { mpfr_set(r25013, r25012, MPFR_RNDN); };
        return mpfr_get_d(r25013, MPFR_RNDN);
}