#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 r24777 = 2;
        float r24778 = n;
        float r24779 = r24777 * r24778;
        float r24780 = U;
        float r24781 = r24779 * r24780;
        float r24782 = t;
        float r24783 = l;
        float r24784 = r24783 * r24783;
        float r24785 = Om;
        float r24786 = r24784 / r24785;
        float r24787 = r24777 * r24786;
        float r24788 = r24782 - r24787;
        float r24789 = r24783 / r24785;
        float r24790 = pow(r24789, r24777);
        float r24791 = r24778 * r24790;
        float r24792 = U_;
        float r24793 = r24780 - r24792;
        float r24794 = r24791 * r24793;
        float r24795 = r24788 - r24794;
        float r24796 = r24781 * r24795;
        float r24797 = sqrt(r24796);
        return r24797;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24798 = 2;
        double r24799 = n;
        double r24800 = r24798 * r24799;
        double r24801 = U;
        double r24802 = r24800 * r24801;
        double r24803 = t;
        double r24804 = l;
        double r24805 = r24804 * r24804;
        double r24806 = Om;
        double r24807 = r24805 / r24806;
        double r24808 = r24798 * r24807;
        double r24809 = r24803 - r24808;
        double r24810 = r24804 / r24806;
        double r24811 = pow(r24810, r24798);
        double r24812 = r24799 * r24811;
        double r24813 = U_;
        double r24814 = r24801 - r24813;
        double r24815 = r24812 * r24814;
        double r24816 = r24809 - r24815;
        double r24817 = r24802 * r24816;
        double r24818 = sqrt(r24817);
        return r24818;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24819 = 2;
        float r24820 = n;
        float r24821 = r24819 * r24820;
        float r24822 = U;
        float r24823 = r24821 * r24822;
        float r24824 = -3.354330051356459e-271;
        bool r24825 = r24823 <= r24824;
        float r24826 = r24822 * r24820;
        float r24827 = r24826 * r24819;
        float r24828 = l;
        float r24829 = Om;
        float r24830 = r24828 / r24829;
        float r24831 = U_;
        float r24832 = r24831 - r24822;
        float r24833 = r24830 * r24820;
        float r24834 = r24832 * r24833;
        float r24835 = t;
        float r24836 = r24828 * r24819;
        float r24837 = r24836 * r24830;
        float r24838 = r24835 - r24837;
        float r24839 = fma(r24830, r24834, r24838);
        float r24840 = r24827 * r24839;
        float r24841 = 0;
        float r24842 = r24841 * r24820;
        float r24843 = r24822 * r24819;
        float r24844 = r24842 * r24843;
        float r24845 = r24840 + r24844;
        float r24846 = sqrt(r24845);
        float r24847 = 1.3139565285017e-311;
        bool r24848 = r24823 <= r24847;
        float r24849 = r24829 / r24828;
        float r24850 = r24828 / r24849;
        float r24851 = r24819 * r24850;
        float r24852 = r24835 - r24851;
        float r24853 = pow(r24830, r24819);
        float r24854 = r24820 * r24853;
        float r24855 = r24822 - r24831;
        float r24856 = r24854 * r24855;
        float r24857 = r24852 - r24856;
        float r24858 = r24822 * r24857;
        float r24859 = r24821 * r24858;
        float r24860 = sqrt(r24859);
        float r24861 = sqrt(r24823);
        float r24862 = sqrt(r24857);
        float r24863 = r24861 * r24862;
        float r24864 = r24848 ? r24860 : r24863;
        float r24865 = r24825 ? r24846 : r24864;
        return r24865;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24866 = 2;
        double r24867 = n;
        double r24868 = r24866 * r24867;
        double r24869 = U;
        double r24870 = r24868 * r24869;
        double r24871 = -3.354330051356459e-271;
        bool r24872 = r24870 <= r24871;
        double r24873 = r24869 * r24867;
        double r24874 = r24873 * r24866;
        double r24875 = l;
        double r24876 = Om;
        double r24877 = r24875 / r24876;
        double r24878 = U_;
        double r24879 = r24878 - r24869;
        double r24880 = r24877 * r24867;
        double r24881 = r24879 * r24880;
        double r24882 = t;
        double r24883 = r24875 * r24866;
        double r24884 = r24883 * r24877;
        double r24885 = r24882 - r24884;
        double r24886 = fma(r24877, r24881, r24885);
        double r24887 = r24874 * r24886;
        double r24888 = 0;
        double r24889 = r24888 * r24867;
        double r24890 = r24869 * r24866;
        double r24891 = r24889 * r24890;
        double r24892 = r24887 + r24891;
        double r24893 = sqrt(r24892);
        double r24894 = 1.3139565285017e-311;
        bool r24895 = r24870 <= r24894;
        double r24896 = r24876 / r24875;
        double r24897 = r24875 / r24896;
        double r24898 = r24866 * r24897;
        double r24899 = r24882 - r24898;
        double r24900 = pow(r24877, r24866);
        double r24901 = r24867 * r24900;
        double r24902 = r24869 - r24878;
        double r24903 = r24901 * r24902;
        double r24904 = r24899 - r24903;
        double r24905 = r24869 * r24904;
        double r24906 = r24868 * r24905;
        double r24907 = sqrt(r24906);
        double r24908 = sqrt(r24870);
        double r24909 = sqrt(r24904);
        double r24910 = r24908 * r24909;
        double r24911 = r24895 ? r24907 : r24910;
        double r24912 = r24872 ? r24893 : r24911;
        return r24912;
}

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 r24913, r24914, r24915, r24916, r24917, r24918, r24919, r24920, r24921, r24922, r24923, r24924, r24925, r24926, r24927, r24928, r24929, r24930, r24931, r24932, r24933;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24913, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24930);
        mpfr_init(r24931);
        mpfr_init(r24932);
        mpfr_init(r24933);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24914, n, MPFR_RNDN);
        mpfr_mul(r24915, r24913, r24914, MPFR_RNDN);
        mpfr_set_d(r24916, U, MPFR_RNDN);
        mpfr_mul(r24917, r24915, r24916, MPFR_RNDN);
        mpfr_set_d(r24918, t, MPFR_RNDN);
        mpfr_set_d(r24919, l, MPFR_RNDN);
        mpfr_mul(r24920, r24919, r24919, MPFR_RNDN);
        mpfr_set_d(r24921, Om, MPFR_RNDN);
        mpfr_div(r24922, r24920, r24921, MPFR_RNDN);
        mpfr_mul(r24923, r24913, r24922, MPFR_RNDN);
        mpfr_sub(r24924, r24918, r24923, MPFR_RNDN);
        mpfr_div(r24925, r24919, r24921, MPFR_RNDN);
        mpfr_pow(r24926, r24925, r24913, MPFR_RNDN);
        mpfr_mul(r24927, r24914, r24926, MPFR_RNDN);
        mpfr_set_d(r24928, U_, MPFR_RNDN);
        mpfr_sub(r24929, r24916, r24928, MPFR_RNDN);
        mpfr_mul(r24930, r24927, r24929, MPFR_RNDN);
        mpfr_sub(r24931, r24924, r24930, MPFR_RNDN);
        mpfr_mul(r24932, r24917, r24931, MPFR_RNDN);
        mpfr_sqrt(r24933, r24932, MPFR_RNDN);
        return mpfr_get_d(r24933, MPFR_RNDN);
}

static mpfr_t 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, r24966, r24967, r24968, r24969, r24970, r24971, r24972, r24973, r24974, r24975, r24976, r24977, r24978, r24979, r24980;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24934, "2", 10, MPFR_RNDN);
        mpfr_init(r24935);
        mpfr_init(r24936);
        mpfr_init(r24937);
        mpfr_init(r24938);
        mpfr_init_set_str(r24939, "-3.354330051356459e-271", 10, MPFR_RNDN);
        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_set_str(r24956, "0", 10, MPFR_RNDN);
        mpfr_init(r24957);
        mpfr_init(r24958);
        mpfr_init(r24959);
        mpfr_init(r24960);
        mpfr_init(r24961);
        mpfr_init_set_str(r24962, "1.3139565285017e-311", 10, MPFR_RNDN);
        mpfr_init(r24963);
        mpfr_init(r24964);
        mpfr_init(r24965);
        mpfr_init(r24966);
        mpfr_init(r24967);
        mpfr_init(r24968);
        mpfr_init(r24969);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24935, n, MPFR_RNDN);
        mpfr_mul(r24936, r24934, r24935, MPFR_RNDN);
        mpfr_set_d(r24937, U, MPFR_RNDN);
        mpfr_mul(r24938, r24936, r24937, MPFR_RNDN);
        ;
        mpfr_set_si(r24940, mpfr_cmp(r24938, r24939) <= 0, MPFR_RNDN);
        mpfr_mul(r24941, r24937, r24935, MPFR_RNDN);
        mpfr_mul(r24942, r24941, r24934, MPFR_RNDN);
        mpfr_set_d(r24943, l, MPFR_RNDN);
        mpfr_set_d(r24944, Om, MPFR_RNDN);
        mpfr_div(r24945, r24943, r24944, MPFR_RNDN);
        mpfr_set_d(r24946, U_, MPFR_RNDN);
        mpfr_sub(r24947, r24946, r24937, MPFR_RNDN);
        mpfr_mul(r24948, r24945, r24935, MPFR_RNDN);
        mpfr_mul(r24949, r24947, r24948, MPFR_RNDN);
        mpfr_set_d(r24950, t, MPFR_RNDN);
        mpfr_mul(r24951, r24943, r24934, MPFR_RNDN);
        mpfr_mul(r24952, r24951, r24945, MPFR_RNDN);
        mpfr_sub(r24953, r24950, r24952, MPFR_RNDN);
        mpfr_fma(r24954, r24945, r24949, r24953, MPFR_RNDN);
        mpfr_mul(r24955, r24942, r24954, MPFR_RNDN);
        ;
        mpfr_mul(r24957, r24956, r24935, MPFR_RNDN);
        mpfr_mul(r24958, r24937, r24934, MPFR_RNDN);
        mpfr_mul(r24959, r24957, r24958, MPFR_RNDN);
        mpfr_add(r24960, r24955, r24959, MPFR_RNDN);
        mpfr_sqrt(r24961, r24960, MPFR_RNDN);
        ;
        mpfr_set_si(r24963, mpfr_cmp(r24938, r24962) <= 0, MPFR_RNDN);
        mpfr_div(r24964, r24944, r24943, MPFR_RNDN);
        mpfr_div(r24965, r24943, r24964, MPFR_RNDN);
        mpfr_mul(r24966, r24934, r24965, MPFR_RNDN);
        mpfr_sub(r24967, r24950, r24966, MPFR_RNDN);
        mpfr_pow(r24968, r24945, r24934, MPFR_RNDN);
        mpfr_mul(r24969, r24935, r24968, MPFR_RNDN);
        mpfr_sub(r24970, r24937, r24946, MPFR_RNDN);
        mpfr_mul(r24971, r24969, r24970, MPFR_RNDN);
        mpfr_sub(r24972, r24967, r24971, MPFR_RNDN);
        mpfr_mul(r24973, r24937, r24972, MPFR_RNDN);
        mpfr_mul(r24974, r24936, r24973, MPFR_RNDN);
        mpfr_sqrt(r24975, r24974, MPFR_RNDN);
        mpfr_sqrt(r24976, r24938, MPFR_RNDN);
        mpfr_sqrt(r24977, r24972, MPFR_RNDN);
        mpfr_mul(r24978, r24976, r24977, MPFR_RNDN);
        if (mpfr_get_si(r24963, MPFR_RNDN)) { mpfr_set(r24979, r24975, MPFR_RNDN); } else { mpfr_set(r24979, r24978, MPFR_RNDN); };
        if (mpfr_get_si(r24940, MPFR_RNDN)) { mpfr_set(r24980, r24961, MPFR_RNDN); } else { mpfr_set(r24980, r24979, MPFR_RNDN); };
        return mpfr_get_d(r24980, MPFR_RNDN);
}

static mpfr_t 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, r25014, r25015, r25016, r25017, r25018, r25019, r25020, r25021, r25022, r25023, r25024, r25025, r25026, r25027;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r24981, "2", 10, MPFR_RNDN);
        mpfr_init(r24982);
        mpfr_init(r24983);
        mpfr_init(r24984);
        mpfr_init(r24985);
        mpfr_init_set_str(r24986, "-3.354330051356459e-271", 10, MPFR_RNDN);
        mpfr_init(r24987);
        mpfr_init(r24988);
        mpfr_init(r24989);
        mpfr_init(r24990);
        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_set_str(r25003, "0", 10, MPFR_RNDN);
        mpfr_init(r25004);
        mpfr_init(r25005);
        mpfr_init(r25006);
        mpfr_init(r25007);
        mpfr_init(r25008);
        mpfr_init_set_str(r25009, "1.3139565285017e-311", 10, MPFR_RNDN);
        mpfr_init(r25010);
        mpfr_init(r25011);
        mpfr_init(r25012);
        mpfr_init(r25013);
        mpfr_init(r25014);
        mpfr_init(r25015);
        mpfr_init(r25016);
        mpfr_init(r25017);
        mpfr_init(r25018);
        mpfr_init(r25019);
        mpfr_init(r25020);
        mpfr_init(r25021);
        mpfr_init(r25022);
        mpfr_init(r25023);
        mpfr_init(r25024);
        mpfr_init(r25025);
        mpfr_init(r25026);
        mpfr_init(r25027);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24982, n, MPFR_RNDN);
        mpfr_mul(r24983, r24981, r24982, MPFR_RNDN);
        mpfr_set_d(r24984, U, MPFR_RNDN);
        mpfr_mul(r24985, r24983, r24984, MPFR_RNDN);
        ;
        mpfr_set_si(r24987, mpfr_cmp(r24985, r24986) <= 0, MPFR_RNDN);
        mpfr_mul(r24988, r24984, r24982, MPFR_RNDN);
        mpfr_mul(r24989, r24988, r24981, MPFR_RNDN);
        mpfr_set_d(r24990, l, MPFR_RNDN);
        mpfr_set_d(r24991, Om, MPFR_RNDN);
        mpfr_div(r24992, r24990, r24991, MPFR_RNDN);
        mpfr_set_d(r24993, U_, MPFR_RNDN);
        mpfr_sub(r24994, r24993, r24984, MPFR_RNDN);
        mpfr_mul(r24995, r24992, r24982, MPFR_RNDN);
        mpfr_mul(r24996, r24994, r24995, MPFR_RNDN);
        mpfr_set_d(r24997, t, MPFR_RNDN);
        mpfr_mul(r24998, r24990, r24981, MPFR_RNDN);
        mpfr_mul(r24999, r24998, r24992, MPFR_RNDN);
        mpfr_sub(r25000, r24997, r24999, MPFR_RNDN);
        mpfr_fma(r25001, r24992, r24996, r25000, MPFR_RNDN);
        mpfr_mul(r25002, r24989, r25001, MPFR_RNDN);
        ;
        mpfr_mul(r25004, r25003, r24982, MPFR_RNDN);
        mpfr_mul(r25005, r24984, r24981, MPFR_RNDN);
        mpfr_mul(r25006, r25004, r25005, MPFR_RNDN);
        mpfr_add(r25007, r25002, r25006, MPFR_RNDN);
        mpfr_sqrt(r25008, r25007, MPFR_RNDN);
        ;
        mpfr_set_si(r25010, mpfr_cmp(r24985, r25009) <= 0, MPFR_RNDN);
        mpfr_div(r25011, r24991, r24990, MPFR_RNDN);
        mpfr_div(r25012, r24990, r25011, MPFR_RNDN);
        mpfr_mul(r25013, r24981, r25012, MPFR_RNDN);
        mpfr_sub(r25014, r24997, r25013, MPFR_RNDN);
        mpfr_pow(r25015, r24992, r24981, MPFR_RNDN);
        mpfr_mul(r25016, r24982, r25015, MPFR_RNDN);
        mpfr_sub(r25017, r24984, r24993, MPFR_RNDN);
        mpfr_mul(r25018, r25016, r25017, MPFR_RNDN);
        mpfr_sub(r25019, r25014, r25018, MPFR_RNDN);
        mpfr_mul(r25020, r24984, r25019, MPFR_RNDN);
        mpfr_mul(r25021, r24983, r25020, MPFR_RNDN);
        mpfr_sqrt(r25022, r25021, MPFR_RNDN);
        mpfr_sqrt(r25023, r24985, MPFR_RNDN);
        mpfr_sqrt(r25024, r25019, MPFR_RNDN);
        mpfr_mul(r25025, r25023, r25024, MPFR_RNDN);
        if (mpfr_get_si(r25010, MPFR_RNDN)) { mpfr_set(r25026, r25022, MPFR_RNDN); } else { mpfr_set(r25026, r25025, MPFR_RNDN); };
        if (mpfr_get_si(r24987, MPFR_RNDN)) { mpfr_set(r25027, r25008, MPFR_RNDN); } else { mpfr_set(r25027, r25026, MPFR_RNDN); };
        return mpfr_get_d(r25027, MPFR_RNDN);
}

