#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 r22803 = 2;
        float r22804 = n;
        float r22805 = r22803 * r22804;
        float r22806 = U;
        float r22807 = r22805 * r22806;
        float r22808 = t;
        float r22809 = l;
        float r22810 = r22809 * r22809;
        float r22811 = Om;
        float r22812 = r22810 / r22811;
        float r22813 = r22803 * r22812;
        float r22814 = r22808 - r22813;
        float r22815 = r22809 / r22811;
        float r22816 = pow(r22815, r22803);
        float r22817 = r22804 * r22816;
        float r22818 = U_;
        float r22819 = r22806 - r22818;
        float r22820 = r22817 * r22819;
        float r22821 = r22814 - r22820;
        float r22822 = r22807 * r22821;
        float r22823 = sqrt(r22822);
        return r22823;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22824 = 2;
        double r22825 = n;
        double r22826 = r22824 * r22825;
        double r22827 = U;
        double r22828 = r22826 * r22827;
        double r22829 = t;
        double r22830 = l;
        double r22831 = r22830 * r22830;
        double r22832 = Om;
        double r22833 = r22831 / r22832;
        double r22834 = r22824 * r22833;
        double r22835 = r22829 - r22834;
        double r22836 = r22830 / r22832;
        double r22837 = pow(r22836, r22824);
        double r22838 = r22825 * r22837;
        double r22839 = U_;
        double r22840 = r22827 - r22839;
        double r22841 = r22838 * r22840;
        double r22842 = r22835 - r22841;
        double r22843 = r22828 * r22842;
        double r22844 = sqrt(r22843);
        return r22844;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22845 = 2;
        float r22846 = n;
        float r22847 = r22845 * r22846;
        float r22848 = U;
        float r22849 = r22847 * r22848;
        float r22850 = sqrt(r22849);
        float r22851 = t;
        float r22852 = l;
        float r22853 = Om;
        float r22854 = r22852 / r22853;
        float r22855 = r22846 * r22854;
        float r22856 = U_;
        float r22857 = r22848 - r22856;
        float r22858 = r22857 * r22854;
        float r22859 = r22852 * r22845;
        float r22860 = r22854 * r22859;
        float r22861 = fma(r22855, r22858, r22860);
        float r22862 = r22851 - r22861;
        float r22863 = sqrt(r22862);
        float r22864 = r22850 * r22863;
        float r22865 = 1.143927970945853e-251;
        bool r22866 = r22864 <= r22865;
        float r22867 = sqrt(r22847);
        float r22868 = r22853 / r22852;
        float r22869 = r22852 / r22868;
        float r22870 = r22845 * r22869;
        float r22871 = r22851 - r22870;
        float r22872 = pow(r22854, r22845);
        float r22873 = r22846 * r22872;
        float r22874 = r22873 * r22857;
        float r22875 = r22871 - r22874;
        float r22876 = r22848 * r22875;
        float r22877 = sqrt(r22876);
        float r22878 = r22867 * r22877;
        float r22879 = +inf.0;
        bool r22880 = r22864 <= r22879;
        float r22881 = r22849 * r22871;
        float r22882 = r22855 * r22854;
        float r22883 = r22882 * r22857;
        float r22884 = -r22883;
        float r22885 = r22849 * r22884;
        float r22886 = r22881 + r22885;
        float r22887 = sqrt(r22886);
        float r22888 = r22880 ? r22864 : r22887;
        float r22889 = r22866 ? r22878 : r22888;
        return r22889;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22890 = 2;
        double r22891 = n;
        double r22892 = r22890 * r22891;
        double r22893 = U;
        double r22894 = r22892 * r22893;
        double r22895 = sqrt(r22894);
        double r22896 = t;
        double r22897 = l;
        double r22898 = Om;
        double r22899 = r22897 / r22898;
        double r22900 = r22891 * r22899;
        double r22901 = U_;
        double r22902 = r22893 - r22901;
        double r22903 = r22902 * r22899;
        double r22904 = r22897 * r22890;
        double r22905 = r22899 * r22904;
        double r22906 = fma(r22900, r22903, r22905);
        double r22907 = r22896 - r22906;
        double r22908 = sqrt(r22907);
        double r22909 = r22895 * r22908;
        double r22910 = 1.143927970945853e-251;
        bool r22911 = r22909 <= r22910;
        double r22912 = sqrt(r22892);
        double r22913 = r22898 / r22897;
        double r22914 = r22897 / r22913;
        double r22915 = r22890 * r22914;
        double r22916 = r22896 - r22915;
        double r22917 = pow(r22899, r22890);
        double r22918 = r22891 * r22917;
        double r22919 = r22918 * r22902;
        double r22920 = r22916 - r22919;
        double r22921 = r22893 * r22920;
        double r22922 = sqrt(r22921);
        double r22923 = r22912 * r22922;
        double r22924 = +inf.0;
        bool r22925 = r22909 <= r22924;
        double r22926 = r22894 * r22916;
        double r22927 = r22900 * r22899;
        double r22928 = r22927 * r22902;
        double r22929 = -r22928;
        double r22930 = r22894 * r22929;
        double r22931 = r22926 + r22930;
        double r22932 = sqrt(r22931);
        double r22933 = r22925 ? r22909 : r22932;
        double r22934 = r22911 ? r22923 : r22933;
        return r22934;
}

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 r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22935, "2", 10, MPFR_RNDN);
        mpfr_init(r22936);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22936, n, MPFR_RNDN);
        mpfr_mul(r22937, r22935, r22936, MPFR_RNDN);
        mpfr_set_d(r22938, U, MPFR_RNDN);
        mpfr_mul(r22939, r22937, r22938, MPFR_RNDN);
        mpfr_set_d(r22940, t, MPFR_RNDN);
        mpfr_set_d(r22941, l, MPFR_RNDN);
        mpfr_mul(r22942, r22941, r22941, MPFR_RNDN);
        mpfr_set_d(r22943, Om, MPFR_RNDN);
        mpfr_div(r22944, r22942, r22943, MPFR_RNDN);
        mpfr_mul(r22945, r22935, r22944, MPFR_RNDN);
        mpfr_sub(r22946, r22940, r22945, MPFR_RNDN);
        mpfr_div(r22947, r22941, r22943, MPFR_RNDN);
        mpfr_pow(r22948, r22947, r22935, MPFR_RNDN);
        mpfr_mul(r22949, r22936, r22948, MPFR_RNDN);
        mpfr_set_d(r22950, U_, MPFR_RNDN);
        mpfr_sub(r22951, r22938, r22950, MPFR_RNDN);
        mpfr_mul(r22952, r22949, r22951, MPFR_RNDN);
        mpfr_sub(r22953, r22946, r22952, MPFR_RNDN);
        mpfr_mul(r22954, r22939, r22953, MPFR_RNDN);
        mpfr_sqrt(r22955, r22954, MPFR_RNDN);
        return mpfr_get_d(r22955, MPFR_RNDN);
}

static mpfr_t r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22956, "2", 10, MPFR_RNDN);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init_set_str(r22976, "1.143927970945853e-251", 10, MPFR_RNDN);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init_set_str(r22990, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init(r23000);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22957, n, MPFR_RNDN);
        mpfr_mul(r22958, r22956, r22957, MPFR_RNDN);
        mpfr_set_d(r22959, U, MPFR_RNDN);
        mpfr_mul(r22960, r22958, r22959, MPFR_RNDN);
        mpfr_sqrt(r22961, r22960, MPFR_RNDN);
        mpfr_set_d(r22962, t, MPFR_RNDN);
        mpfr_set_d(r22963, l, MPFR_RNDN);
        mpfr_set_d(r22964, Om, MPFR_RNDN);
        mpfr_div(r22965, r22963, r22964, MPFR_RNDN);
        mpfr_mul(r22966, r22957, r22965, MPFR_RNDN);
        mpfr_set_d(r22967, U_, MPFR_RNDN);
        mpfr_sub(r22968, r22959, r22967, MPFR_RNDN);
        mpfr_mul(r22969, r22968, r22965, MPFR_RNDN);
        mpfr_mul(r22970, r22963, r22956, MPFR_RNDN);
        mpfr_mul(r22971, r22965, r22970, MPFR_RNDN);
        mpfr_fma(r22972, r22966, r22969, r22971, MPFR_RNDN);
        mpfr_sub(r22973, r22962, r22972, MPFR_RNDN);
        mpfr_sqrt(r22974, r22973, MPFR_RNDN);
        mpfr_mul(r22975, r22961, r22974, MPFR_RNDN);
        ;
        mpfr_set_si(r22977, mpfr_cmp(r22975, r22976) <= 0, MPFR_RNDN);
        mpfr_sqrt(r22978, r22958, MPFR_RNDN);
        mpfr_div(r22979, r22964, r22963, MPFR_RNDN);
        mpfr_div(r22980, r22963, r22979, MPFR_RNDN);
        mpfr_mul(r22981, r22956, r22980, MPFR_RNDN);
        mpfr_sub(r22982, r22962, r22981, MPFR_RNDN);
        mpfr_pow(r22983, r22965, r22956, MPFR_RNDN);
        mpfr_mul(r22984, r22957, r22983, MPFR_RNDN);
        mpfr_mul(r22985, r22984, r22968, MPFR_RNDN);
        mpfr_sub(r22986, r22982, r22985, MPFR_RNDN);
        mpfr_mul(r22987, r22959, r22986, MPFR_RNDN);
        mpfr_sqrt(r22988, r22987, MPFR_RNDN);
        mpfr_mul(r22989, r22978, r22988, MPFR_RNDN);
        ;
        mpfr_set_si(r22991, mpfr_cmp(r22975, r22990) <= 0, MPFR_RNDN);
        mpfr_mul(r22992, r22960, r22982, MPFR_RNDN);
        mpfr_mul(r22993, r22966, r22965, MPFR_RNDN);
        mpfr_mul(r22994, r22993, r22968, MPFR_RNDN);
        mpfr_neg(r22995, r22994, MPFR_RNDN);
        mpfr_mul(r22996, r22960, r22995, MPFR_RNDN);
        mpfr_add(r22997, r22992, r22996, MPFR_RNDN);
        mpfr_sqrt(r22998, r22997, MPFR_RNDN);
        if (mpfr_get_si(r22991, MPFR_RNDN)) { mpfr_set(r22999, r22975, MPFR_RNDN); } else { mpfr_set(r22999, r22998, MPFR_RNDN); };
        if (mpfr_get_si(r22977, MPFR_RNDN)) { mpfr_set(r23000, r22989, MPFR_RNDN); } else { mpfr_set(r23000, r22999, MPFR_RNDN); };
        return mpfr_get_d(r23000, MPFR_RNDN);
}

static mpfr_t r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23001, "2", 10, MPFR_RNDN);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init_set_str(r23021, "1.143927970945853e-251", 10, MPFR_RNDN);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init_set_str(r23035, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23036);
        mpfr_init(r23037);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init(r23041);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init(r23045);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r23002, n, MPFR_RNDN);
        mpfr_mul(r23003, r23001, r23002, MPFR_RNDN);
        mpfr_set_d(r23004, U, MPFR_RNDN);
        mpfr_mul(r23005, r23003, r23004, MPFR_RNDN);
        mpfr_sqrt(r23006, r23005, MPFR_RNDN);
        mpfr_set_d(r23007, t, MPFR_RNDN);
        mpfr_set_d(r23008, l, MPFR_RNDN);
        mpfr_set_d(r23009, Om, MPFR_RNDN);
        mpfr_div(r23010, r23008, r23009, MPFR_RNDN);
        mpfr_mul(r23011, r23002, r23010, MPFR_RNDN);
        mpfr_set_d(r23012, U_, MPFR_RNDN);
        mpfr_sub(r23013, r23004, r23012, MPFR_RNDN);
        mpfr_mul(r23014, r23013, r23010, MPFR_RNDN);
        mpfr_mul(r23015, r23008, r23001, MPFR_RNDN);
        mpfr_mul(r23016, r23010, r23015, MPFR_RNDN);
        mpfr_fma(r23017, r23011, r23014, r23016, MPFR_RNDN);
        mpfr_sub(r23018, r23007, r23017, MPFR_RNDN);
        mpfr_sqrt(r23019, r23018, MPFR_RNDN);
        mpfr_mul(r23020, r23006, r23019, MPFR_RNDN);
        ;
        mpfr_set_si(r23022, mpfr_cmp(r23020, r23021) <= 0, MPFR_RNDN);
        mpfr_sqrt(r23023, r23003, MPFR_RNDN);
        mpfr_div(r23024, r23009, r23008, MPFR_RNDN);
        mpfr_div(r23025, r23008, r23024, MPFR_RNDN);
        mpfr_mul(r23026, r23001, r23025, MPFR_RNDN);
        mpfr_sub(r23027, r23007, r23026, MPFR_RNDN);
        mpfr_pow(r23028, r23010, r23001, MPFR_RNDN);
        mpfr_mul(r23029, r23002, r23028, MPFR_RNDN);
        mpfr_mul(r23030, r23029, r23013, MPFR_RNDN);
        mpfr_sub(r23031, r23027, r23030, MPFR_RNDN);
        mpfr_mul(r23032, r23004, r23031, MPFR_RNDN);
        mpfr_sqrt(r23033, r23032, MPFR_RNDN);
        mpfr_mul(r23034, r23023, r23033, MPFR_RNDN);
        ;
        mpfr_set_si(r23036, mpfr_cmp(r23020, r23035) <= 0, MPFR_RNDN);
        mpfr_mul(r23037, r23005, r23027, MPFR_RNDN);
        mpfr_mul(r23038, r23011, r23010, MPFR_RNDN);
        mpfr_mul(r23039, r23038, r23013, MPFR_RNDN);
        mpfr_neg(r23040, r23039, MPFR_RNDN);
        mpfr_mul(r23041, r23005, r23040, MPFR_RNDN);
        mpfr_add(r23042, r23037, r23041, MPFR_RNDN);
        mpfr_sqrt(r23043, r23042, MPFR_RNDN);
        if (mpfr_get_si(r23036, MPFR_RNDN)) { mpfr_set(r23044, r23020, MPFR_RNDN); } else { mpfr_set(r23044, r23043, MPFR_RNDN); };
        if (mpfr_get_si(r23022, MPFR_RNDN)) { mpfr_set(r23045, r23034, MPFR_RNDN); } else { mpfr_set(r23045, r23044, MPFR_RNDN); };
        return mpfr_get_d(r23045, MPFR_RNDN);
}