#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "2nthrt (problem 3.4.6)";

double f_if(float x, float n) {
        float r22842 = x;
        float r22843 = 1;
        float r22844 = r22842 + r22843;
        float r22845 = n;
        float r22846 = r22843 / r22845;
        float r22847 = pow(r22844, r22846);
        float r22848 = pow(r22842, r22846);
        float r22849 = r22847 - r22848;
        return r22849;
}

double f_id(double x, double n) {
        double r22850 = x;
        double r22851 = 1;
        double r22852 = r22850 + r22851;
        double r22853 = n;
        double r22854 = r22851 / r22853;
        double r22855 = pow(r22852, r22854);
        double r22856 = pow(r22850, r22854);
        double r22857 = r22855 - r22856;
        return r22857;
}


double f_of(float x, float n) {
        float r22858 = 1;
        float r22859 = x;
        float r22860 = r22858 / r22859;
        float r22861 = n;
        float r22862 = r22860 / r22861;
        float r22863 = 1/2;
        float r22864 = r22863 / r22861;
        float r22865 = r22859 * r22859;
        float r22866 = r22864 / r22865;
        float r22867 = r22862 - r22866;
        float r22868 = log(r22859);
        float r22869 = r22868 / r22859;
        float r22870 = r22861 * r22861;
        float r22871 = r22869 / r22870;
        float r22872 = r22867 + r22871;
        float r22873 = -9.817622073517543e-139;
        bool r22874 = r22872 <= r22873;
        float r22875 = r22858 + r22859;
        float r22876 = r22858 / r22861;
        float r22877 = pow(r22875, r22876);
        float r22878 = r22877 - r22858;
        float r22879 = r22868 * r22864;
        float r22880 = r22861 / r22868;
        float r22881 = r22879 / r22880;
        float r22882 = r22878 - r22881;
        float r22883 = r22868 / r22861;
        float r22884 = r22882 - r22883;
        float r22885 = 4.264924977041202e-43;
        bool r22886 = r22872 <= r22885;
        float r22887 = r22859 + r22858;
        float r22888 = log(r22887);
        float r22889 = r22888 / r22861;
        float r22890 = exp(r22889);
        float r22891 = pow(r22859, r22876);
        float r22892 = r22890 - r22891;
        float r22893 = 3;
        float r22894 = pow(r22892, r22893);
        float r22895 = cbrt(r22894);
        float r22896 = r22886 ? r22872 : r22895;
        float r22897 = r22874 ? r22884 : r22896;
        return r22897;
}

double f_od(double x, double n) {
        double r22898 = 1;
        double r22899 = x;
        double r22900 = r22898 / r22899;
        double r22901 = n;
        double r22902 = r22900 / r22901;
        double r22903 = 1/2;
        double r22904 = r22903 / r22901;
        double r22905 = r22899 * r22899;
        double r22906 = r22904 / r22905;
        double r22907 = r22902 - r22906;
        double r22908 = log(r22899);
        double r22909 = r22908 / r22899;
        double r22910 = r22901 * r22901;
        double r22911 = r22909 / r22910;
        double r22912 = r22907 + r22911;
        double r22913 = -9.817622073517543e-139;
        bool r22914 = r22912 <= r22913;
        double r22915 = r22898 + r22899;
        double r22916 = r22898 / r22901;
        double r22917 = pow(r22915, r22916);
        double r22918 = r22917 - r22898;
        double r22919 = r22908 * r22904;
        double r22920 = r22901 / r22908;
        double r22921 = r22919 / r22920;
        double r22922 = r22918 - r22921;
        double r22923 = r22908 / r22901;
        double r22924 = r22922 - r22923;
        double r22925 = 4.264924977041202e-43;
        bool r22926 = r22912 <= r22925;
        double r22927 = r22899 + r22898;
        double r22928 = log(r22927);
        double r22929 = r22928 / r22901;
        double r22930 = exp(r22929);
        double r22931 = pow(r22899, r22916);
        double r22932 = r22930 - r22931;
        double r22933 = 3;
        double r22934 = pow(r22932, r22933);
        double r22935 = cbrt(r22934);
        double r22936 = r22926 ? r22912 : r22935;
        double r22937 = r22914 ? r22924 : r22936;
        return r22937;
}

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 r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22938);
        mpfr_init_set_str(r22939, "1", 10, MPFR_RNDN);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
}

double f_im(double x, double n) {
        mpfr_set_d(r22938, x, MPFR_RNDN);
        ;
        mpfr_add(r22940, r22938, r22939, MPFR_RNDN);
        mpfr_set_d(r22941, n, MPFR_RNDN);
        mpfr_div(r22942, r22939, r22941, MPFR_RNDN);
        mpfr_pow(r22943, r22940, r22942, MPFR_RNDN);
        mpfr_pow(r22944, r22938, r22942, MPFR_RNDN);
        mpfr_sub(r22945, r22943, r22944, MPFR_RNDN);
        return mpfr_get_d(r22945, MPFR_RNDN);
}

static mpfr_t r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22946, "1", 10, MPFR_RNDN);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init_set_str(r22951, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init_set_str(r22961, "-9.817622073517543e-139", 10, MPFR_RNDN);
        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_set_str(r22973, "4.264924977041202e-43", 10, MPFR_RNDN);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init_set_str(r22981, "3", 10, MPFR_RNDN);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r22947, x, MPFR_RNDN);
        mpfr_div(r22948, r22946, r22947, MPFR_RNDN);
        mpfr_set_d(r22949, n, MPFR_RNDN);
        mpfr_div(r22950, r22948, r22949, MPFR_RNDN);
        ;
        mpfr_div(r22952, r22951, r22949, MPFR_RNDN);
        mpfr_mul(r22953, r22947, r22947, MPFR_RNDN);
        mpfr_div(r22954, r22952, r22953, MPFR_RNDN);
        mpfr_sub(r22955, r22950, r22954, MPFR_RNDN);
        mpfr_log(r22956, r22947, MPFR_RNDN);
        mpfr_div(r22957, r22956, r22947, MPFR_RNDN);
        mpfr_mul(r22958, r22949, r22949, MPFR_RNDN);
        mpfr_div(r22959, r22957, r22958, MPFR_RNDN);
        mpfr_add(r22960, r22955, r22959, MPFR_RNDN);
        ;
        mpfr_set_si(r22962, mpfr_cmp(r22960, r22961) <= 0, MPFR_RNDN);
        mpfr_add(r22963, r22946, r22947, MPFR_RNDN);
        mpfr_div(r22964, r22946, r22949, MPFR_RNDN);
        mpfr_pow(r22965, r22963, r22964, MPFR_RNDN);
        mpfr_sub(r22966, r22965, r22946, MPFR_RNDN);
        mpfr_mul(r22967, r22956, r22952, MPFR_RNDN);
        mpfr_div(r22968, r22949, r22956, MPFR_RNDN);
        mpfr_div(r22969, r22967, r22968, MPFR_RNDN);
        mpfr_sub(r22970, r22966, r22969, MPFR_RNDN);
        mpfr_div(r22971, r22956, r22949, MPFR_RNDN);
        mpfr_sub(r22972, r22970, r22971, MPFR_RNDN);
        ;
        mpfr_set_si(r22974, mpfr_cmp(r22960, r22973) <= 0, MPFR_RNDN);
        mpfr_add(r22975, r22947, r22946, MPFR_RNDN);
        mpfr_log(r22976, r22975, MPFR_RNDN);
        mpfr_div(r22977, r22976, r22949, MPFR_RNDN);
        mpfr_exp(r22978, r22977, MPFR_RNDN);
        mpfr_pow(r22979, r22947, r22964, MPFR_RNDN);
        mpfr_sub(r22980, r22978, r22979, MPFR_RNDN);
        ;
        mpfr_pow(r22982, r22980, r22981, MPFR_RNDN);
        mpfr_cbrt(r22983, r22982, MPFR_RNDN);
        if (mpfr_get_si(r22974, MPFR_RNDN)) { mpfr_set(r22984, r22960, MPFR_RNDN); } else { mpfr_set(r22984, r22983, MPFR_RNDN); };
        if (mpfr_get_si(r22962, MPFR_RNDN)) { mpfr_set(r22985, r22972, MPFR_RNDN); } else { mpfr_set(r22985, r22984, MPFR_RNDN); };
        return mpfr_get_d(r22985, MPFR_RNDN);
}

static mpfr_t r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22986, "1", 10, MPFR_RNDN);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init_set_str(r22991, "1/2", 10, MPFR_RNDN);
        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);
        mpfr_init_set_str(r23001, "-9.817622073517543e-139", 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_set_str(r23013, "4.264924977041202e-43", 10, MPFR_RNDN);
        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, "3", 10, MPFR_RNDN);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init(r23025);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r22987, x, MPFR_RNDN);
        mpfr_div(r22988, r22986, r22987, MPFR_RNDN);
        mpfr_set_d(r22989, n, MPFR_RNDN);
        mpfr_div(r22990, r22988, r22989, MPFR_RNDN);
        ;
        mpfr_div(r22992, r22991, r22989, MPFR_RNDN);
        mpfr_mul(r22993, r22987, r22987, MPFR_RNDN);
        mpfr_div(r22994, r22992, r22993, MPFR_RNDN);
        mpfr_sub(r22995, r22990, r22994, MPFR_RNDN);
        mpfr_log(r22996, r22987, MPFR_RNDN);
        mpfr_div(r22997, r22996, r22987, MPFR_RNDN);
        mpfr_mul(r22998, r22989, r22989, MPFR_RNDN);
        mpfr_div(r22999, r22997, r22998, MPFR_RNDN);
        mpfr_add(r23000, r22995, r22999, MPFR_RNDN);
        ;
        mpfr_set_si(r23002, mpfr_cmp(r23000, r23001) <= 0, MPFR_RNDN);
        mpfr_add(r23003, r22986, r22987, MPFR_RNDN);
        mpfr_div(r23004, r22986, r22989, MPFR_RNDN);
        mpfr_pow(r23005, r23003, r23004, MPFR_RNDN);
        mpfr_sub(r23006, r23005, r22986, MPFR_RNDN);
        mpfr_mul(r23007, r22996, r22992, MPFR_RNDN);
        mpfr_div(r23008, r22989, r22996, MPFR_RNDN);
        mpfr_div(r23009, r23007, r23008, MPFR_RNDN);
        mpfr_sub(r23010, r23006, r23009, MPFR_RNDN);
        mpfr_div(r23011, r22996, r22989, MPFR_RNDN);
        mpfr_sub(r23012, r23010, r23011, MPFR_RNDN);
        ;
        mpfr_set_si(r23014, mpfr_cmp(r23000, r23013) <= 0, MPFR_RNDN);
        mpfr_add(r23015, r22987, r22986, MPFR_RNDN);
        mpfr_log(r23016, r23015, MPFR_RNDN);
        mpfr_div(r23017, r23016, r22989, MPFR_RNDN);
        mpfr_exp(r23018, r23017, MPFR_RNDN);
        mpfr_pow(r23019, r22987, r23004, MPFR_RNDN);
        mpfr_sub(r23020, r23018, r23019, MPFR_RNDN);
        ;
        mpfr_pow(r23022, r23020, r23021, MPFR_RNDN);
        mpfr_cbrt(r23023, r23022, MPFR_RNDN);
        if (mpfr_get_si(r23014, MPFR_RNDN)) { mpfr_set(r23024, r23000, MPFR_RNDN); } else { mpfr_set(r23024, r23023, MPFR_RNDN); };
        if (mpfr_get_si(r23002, MPFR_RNDN)) { mpfr_set(r23025, r23012, MPFR_RNDN); } else { mpfr_set(r23025, r23024, MPFR_RNDN); };
        return mpfr_get_d(r23025, MPFR_RNDN);
}