#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 r21769 = 2;
        float r21770 = n;
        float r21771 = r21769 * r21770;
        float r21772 = U;
        float r21773 = r21771 * r21772;
        float r21774 = t;
        float r21775 = l;
        float r21776 = r21775 * r21775;
        float r21777 = Om;
        float r21778 = r21776 / r21777;
        float r21779 = r21769 * r21778;
        float r21780 = r21774 - r21779;
        float r21781 = r21775 / r21777;
        float r21782 = pow(r21781, r21769);
        float r21783 = r21770 * r21782;
        float r21784 = U_;
        float r21785 = r21772 - r21784;
        float r21786 = r21783 * r21785;
        float r21787 = r21780 - r21786;
        float r21788 = r21773 * r21787;
        float r21789 = sqrt(r21788);
        return r21789;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21790 = 2;
        double r21791 = n;
        double r21792 = r21790 * r21791;
        double r21793 = U;
        double r21794 = r21792 * r21793;
        double r21795 = t;
        double r21796 = l;
        double r21797 = r21796 * r21796;
        double r21798 = Om;
        double r21799 = r21797 / r21798;
        double r21800 = r21790 * r21799;
        double r21801 = r21795 - r21800;
        double r21802 = r21796 / r21798;
        double r21803 = pow(r21802, r21790);
        double r21804 = r21791 * r21803;
        double r21805 = U_;
        double r21806 = r21793 - r21805;
        double r21807 = r21804 * r21806;
        double r21808 = r21801 - r21807;
        double r21809 = r21794 * r21808;
        double r21810 = sqrt(r21809);
        return r21810;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21811 = 2;
        float r21812 = n;
        float r21813 = r21811 * r21812;
        float r21814 = sqrt(r21813);
        float r21815 = t;
        float r21816 = l;
        float r21817 = Om;
        float r21818 = r21816 / r21817;
        float r21819 = r21818 * r21812;
        float r21820 = U;
        float r21821 = U_;
        float r21822 = r21820 - r21821;
        float r21823 = r21818 * r21822;
        float r21824 = r21816 + r21816;
        float r21825 = r21818 * r21824;
        float r21826 = fma(r21819, r21823, r21825);
        float r21827 = r21815 - r21826;
        float r21828 = r21827 * r21820;
        float r21829 = sqrt(r21828);
        float r21830 = r21814 * r21829;
        float r21831 = 0.0;
        bool r21832 = r21830 <= r21831;
        float r21833 = r21813 * r21820;
        float r21834 = sqrt(r21833);
        float r21835 = r21816 * r21816;
        float r21836 = r21835 / r21817;
        float r21837 = r21811 * r21836;
        float r21838 = r21815 - r21837;
        float r21839 = pow(r21818, r21811);
        float r21840 = r21812 * r21839;
        float r21841 = r21840 * r21822;
        float r21842 = r21838 - r21841;
        float r21843 = sqrt(r21842);
        float r21844 = r21834 * r21843;
        float r21845 = +inf.0;
        bool r21846 = r21830 <= r21845;
        float r21847 = r21812 * r21818;
        float r21848 = r21847 * r21818;
        float r21849 = r21848 * r21822;
        float r21850 = r21838 - r21849;
        float r21851 = r21820 * r21850;
        float r21852 = r21813 * r21851;
        float r21853 = sqrt(r21852);
        float r21854 = r21846 ? r21830 : r21853;
        float r21855 = r21832 ? r21844 : r21854;
        return r21855;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21856 = 2;
        double r21857 = n;
        double r21858 = r21856 * r21857;
        double r21859 = sqrt(r21858);
        double r21860 = t;
        double r21861 = l;
        double r21862 = Om;
        double r21863 = r21861 / r21862;
        double r21864 = r21863 * r21857;
        double r21865 = U;
        double r21866 = U_;
        double r21867 = r21865 - r21866;
        double r21868 = r21863 * r21867;
        double r21869 = r21861 + r21861;
        double r21870 = r21863 * r21869;
        double r21871 = fma(r21864, r21868, r21870);
        double r21872 = r21860 - r21871;
        double r21873 = r21872 * r21865;
        double r21874 = sqrt(r21873);
        double r21875 = r21859 * r21874;
        double r21876 = 0.0;
        bool r21877 = r21875 <= r21876;
        double r21878 = r21858 * r21865;
        double r21879 = sqrt(r21878);
        double r21880 = r21861 * r21861;
        double r21881 = r21880 / r21862;
        double r21882 = r21856 * r21881;
        double r21883 = r21860 - r21882;
        double r21884 = pow(r21863, r21856);
        double r21885 = r21857 * r21884;
        double r21886 = r21885 * r21867;
        double r21887 = r21883 - r21886;
        double r21888 = sqrt(r21887);
        double r21889 = r21879 * r21888;
        double r21890 = +inf.0;
        bool r21891 = r21875 <= r21890;
        double r21892 = r21857 * r21863;
        double r21893 = r21892 * r21863;
        double r21894 = r21893 * r21867;
        double r21895 = r21883 - r21894;
        double r21896 = r21865 * r21895;
        double r21897 = r21858 * r21896;
        double r21898 = sqrt(r21897);
        double r21899 = r21891 ? r21875 : r21898;
        double r21900 = r21877 ? r21889 : r21899;
        return r21900;
}

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 r21901, r21902, r21903, r21904, r21905, r21906, r21907, r21908, r21909, r21910, r21911, r21912, r21913, r21914, r21915, r21916, r21917, r21918, r21919, r21920, r21921;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21901, "2", 10, MPFR_RNDN);
        mpfr_init(r21902);
        mpfr_init(r21903);
        mpfr_init(r21904);
        mpfr_init(r21905);
        mpfr_init(r21906);
        mpfr_init(r21907);
        mpfr_init(r21908);
        mpfr_init(r21909);
        mpfr_init(r21910);
        mpfr_init(r21911);
        mpfr_init(r21912);
        mpfr_init(r21913);
        mpfr_init(r21914);
        mpfr_init(r21915);
        mpfr_init(r21916);
        mpfr_init(r21917);
        mpfr_init(r21918);
        mpfr_init(r21919);
        mpfr_init(r21920);
        mpfr_init(r21921);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21902, n, MPFR_RNDN);
        mpfr_mul(r21903, r21901, r21902, MPFR_RNDN);
        mpfr_set_d(r21904, U, MPFR_RNDN);
        mpfr_mul(r21905, r21903, r21904, MPFR_RNDN);
        mpfr_set_d(r21906, t, MPFR_RNDN);
        mpfr_set_d(r21907, l, MPFR_RNDN);
        mpfr_mul(r21908, r21907, r21907, MPFR_RNDN);
        mpfr_set_d(r21909, Om, MPFR_RNDN);
        mpfr_div(r21910, r21908, r21909, MPFR_RNDN);
        mpfr_mul(r21911, r21901, r21910, MPFR_RNDN);
        mpfr_sub(r21912, r21906, r21911, MPFR_RNDN);
        mpfr_div(r21913, r21907, r21909, MPFR_RNDN);
        mpfr_pow(r21914, r21913, r21901, MPFR_RNDN);
        mpfr_mul(r21915, r21902, r21914, MPFR_RNDN);
        mpfr_set_d(r21916, U_, MPFR_RNDN);
        mpfr_sub(r21917, r21904, r21916, MPFR_RNDN);
        mpfr_mul(r21918, r21915, r21917, MPFR_RNDN);
        mpfr_sub(r21919, r21912, r21918, MPFR_RNDN);
        mpfr_mul(r21920, r21905, r21919, MPFR_RNDN);
        mpfr_sqrt(r21921, r21920, MPFR_RNDN);
        return mpfr_get_d(r21921, MPFR_RNDN);
}

static mpfr_t r21922, r21923, r21924, r21925, r21926, r21927, r21928, r21929, r21930, r21931, r21932, r21933, r21934, r21935, r21936, r21937, r21938, r21939, r21940, r21941, r21942, r21943, r21944, r21945, r21946, r21947, r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21922, "2", 10, MPFR_RNDN);
        mpfr_init(r21923);
        mpfr_init(r21924);
        mpfr_init(r21925);
        mpfr_init(r21926);
        mpfr_init(r21927);
        mpfr_init(r21928);
        mpfr_init(r21929);
        mpfr_init(r21930);
        mpfr_init(r21931);
        mpfr_init(r21932);
        mpfr_init(r21933);
        mpfr_init(r21934);
        mpfr_init(r21935);
        mpfr_init(r21936);
        mpfr_init(r21937);
        mpfr_init(r21938);
        mpfr_init(r21939);
        mpfr_init(r21940);
        mpfr_init(r21941);
        mpfr_init_set_str(r21942, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21943);
        mpfr_init(r21944);
        mpfr_init(r21945);
        mpfr_init(r21946);
        mpfr_init(r21947);
        mpfr_init(r21948);
        mpfr_init(r21949);
        mpfr_init(r21950);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init_set_str(r21956, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r21957);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init(r21960);
        mpfr_init(r21961);
        mpfr_init(r21962);
        mpfr_init(r21963);
        mpfr_init(r21964);
        mpfr_init(r21965);
        mpfr_init(r21966);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21923, n, MPFR_RNDN);
        mpfr_mul(r21924, r21922, r21923, MPFR_RNDN);
        mpfr_sqrt(r21925, r21924, MPFR_RNDN);
        mpfr_set_d(r21926, t, MPFR_RNDN);
        mpfr_set_d(r21927, l, MPFR_RNDN);
        mpfr_set_d(r21928, Om, MPFR_RNDN);
        mpfr_div(r21929, r21927, r21928, MPFR_RNDN);
        mpfr_mul(r21930, r21929, r21923, MPFR_RNDN);
        mpfr_set_d(r21931, U, MPFR_RNDN);
        mpfr_set_d(r21932, U_, MPFR_RNDN);
        mpfr_sub(r21933, r21931, r21932, MPFR_RNDN);
        mpfr_mul(r21934, r21929, r21933, MPFR_RNDN);
        mpfr_add(r21935, r21927, r21927, MPFR_RNDN);
        mpfr_mul(r21936, r21929, r21935, MPFR_RNDN);
        mpfr_fma(r21937, r21930, r21934, r21936, MPFR_RNDN);
        mpfr_sub(r21938, r21926, r21937, MPFR_RNDN);
        mpfr_mul(r21939, r21938, r21931, MPFR_RNDN);
        mpfr_sqrt(r21940, r21939, MPFR_RNDN);
        mpfr_mul(r21941, r21925, r21940, MPFR_RNDN);
        ;
        mpfr_set_si(r21943, mpfr_cmp(r21941, r21942) <= 0, MPFR_RNDN);
        mpfr_mul(r21944, r21924, r21931, MPFR_RNDN);
        mpfr_sqrt(r21945, r21944, MPFR_RNDN);
        mpfr_mul(r21946, r21927, r21927, MPFR_RNDN);
        mpfr_div(r21947, r21946, r21928, MPFR_RNDN);
        mpfr_mul(r21948, r21922, r21947, MPFR_RNDN);
        mpfr_sub(r21949, r21926, r21948, MPFR_RNDN);
        mpfr_pow(r21950, r21929, r21922, MPFR_RNDN);
        mpfr_mul(r21951, r21923, r21950, MPFR_RNDN);
        mpfr_mul(r21952, r21951, r21933, MPFR_RNDN);
        mpfr_sub(r21953, r21949, r21952, MPFR_RNDN);
        mpfr_sqrt(r21954, r21953, MPFR_RNDN);
        mpfr_mul(r21955, r21945, r21954, MPFR_RNDN);
        ;
        mpfr_set_si(r21957, mpfr_cmp(r21941, r21956) <= 0, MPFR_RNDN);
        mpfr_mul(r21958, r21923, r21929, MPFR_RNDN);
        mpfr_mul(r21959, r21958, r21929, MPFR_RNDN);
        mpfr_mul(r21960, r21959, r21933, MPFR_RNDN);
        mpfr_sub(r21961, r21949, r21960, MPFR_RNDN);
        mpfr_mul(r21962, r21931, r21961, MPFR_RNDN);
        mpfr_mul(r21963, r21924, r21962, MPFR_RNDN);
        mpfr_sqrt(r21964, r21963, MPFR_RNDN);
        if (mpfr_get_si(r21957, MPFR_RNDN)) { mpfr_set(r21965, r21941, MPFR_RNDN); } else { mpfr_set(r21965, r21964, MPFR_RNDN); };
        if (mpfr_get_si(r21943, MPFR_RNDN)) { mpfr_set(r21966, r21955, MPFR_RNDN); } else { mpfr_set(r21966, r21965, MPFR_RNDN); };
        return mpfr_get_d(r21966, MPFR_RNDN);
}

static mpfr_t r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21967, "2", 10, MPFR_RNDN);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
        mpfr_init(r21975);
        mpfr_init(r21976);
        mpfr_init(r21977);
        mpfr_init(r21978);
        mpfr_init(r21979);
        mpfr_init(r21980);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init(r21984);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init_set_str(r21987, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init(r21991);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init(r21995);
        mpfr_init(r21996);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init_set_str(r22001, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init(r22008);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21968, n, MPFR_RNDN);
        mpfr_mul(r21969, r21967, r21968, MPFR_RNDN);
        mpfr_sqrt(r21970, r21969, MPFR_RNDN);
        mpfr_set_d(r21971, t, MPFR_RNDN);
        mpfr_set_d(r21972, l, MPFR_RNDN);
        mpfr_set_d(r21973, Om, MPFR_RNDN);
        mpfr_div(r21974, r21972, r21973, MPFR_RNDN);
        mpfr_mul(r21975, r21974, r21968, MPFR_RNDN);
        mpfr_set_d(r21976, U, MPFR_RNDN);
        mpfr_set_d(r21977, U_, MPFR_RNDN);
        mpfr_sub(r21978, r21976, r21977, MPFR_RNDN);
        mpfr_mul(r21979, r21974, r21978, MPFR_RNDN);
        mpfr_add(r21980, r21972, r21972, MPFR_RNDN);
        mpfr_mul(r21981, r21974, r21980, MPFR_RNDN);
        mpfr_fma(r21982, r21975, r21979, r21981, MPFR_RNDN);
        mpfr_sub(r21983, r21971, r21982, MPFR_RNDN);
        mpfr_mul(r21984, r21983, r21976, MPFR_RNDN);
        mpfr_sqrt(r21985, r21984, MPFR_RNDN);
        mpfr_mul(r21986, r21970, r21985, MPFR_RNDN);
        ;
        mpfr_set_si(r21988, mpfr_cmp(r21986, r21987) <= 0, MPFR_RNDN);
        mpfr_mul(r21989, r21969, r21976, MPFR_RNDN);
        mpfr_sqrt(r21990, r21989, MPFR_RNDN);
        mpfr_mul(r21991, r21972, r21972, MPFR_RNDN);
        mpfr_div(r21992, r21991, r21973, MPFR_RNDN);
        mpfr_mul(r21993, r21967, r21992, MPFR_RNDN);
        mpfr_sub(r21994, r21971, r21993, MPFR_RNDN);
        mpfr_pow(r21995, r21974, r21967, MPFR_RNDN);
        mpfr_mul(r21996, r21968, r21995, MPFR_RNDN);
        mpfr_mul(r21997, r21996, r21978, MPFR_RNDN);
        mpfr_sub(r21998, r21994, r21997, MPFR_RNDN);
        mpfr_sqrt(r21999, r21998, MPFR_RNDN);
        mpfr_mul(r22000, r21990, r21999, MPFR_RNDN);
        ;
        mpfr_set_si(r22002, mpfr_cmp(r21986, r22001) <= 0, MPFR_RNDN);
        mpfr_mul(r22003, r21968, r21974, MPFR_RNDN);
        mpfr_mul(r22004, r22003, r21974, MPFR_RNDN);
        mpfr_mul(r22005, r22004, r21978, MPFR_RNDN);
        mpfr_sub(r22006, r21994, r22005, MPFR_RNDN);
        mpfr_mul(r22007, r21976, r22006, MPFR_RNDN);
        mpfr_mul(r22008, r21969, r22007, MPFR_RNDN);
        mpfr_sqrt(r22009, r22008, MPFR_RNDN);
        if (mpfr_get_si(r22002, MPFR_RNDN)) { mpfr_set(r22010, r21986, MPFR_RNDN); } else { mpfr_set(r22010, r22009, MPFR_RNDN); };
        if (mpfr_get_si(r21988, MPFR_RNDN)) { mpfr_set(r22011, r22000, MPFR_RNDN); } else { mpfr_set(r22011, r22010, MPFR_RNDN); };
        return mpfr_get_d(r22011, MPFR_RNDN);
}