#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 r22877 = x;
        float r22878 = 1;
        float r22879 = r22877 + r22878;
        float r22880 = n;
        float r22881 = r22878 / r22880;
        float r22882 = pow(r22879, r22881);
        float r22883 = pow(r22877, r22881);
        float r22884 = r22882 - r22883;
        return r22884;
}

double f_id(double x, double n) {
        double r22885 = x;
        double r22886 = 1;
        double r22887 = r22885 + r22886;
        double r22888 = n;
        double r22889 = r22886 / r22888;
        double r22890 = pow(r22887, r22889);
        double r22891 = pow(r22885, r22889);
        double r22892 = r22890 - r22891;
        return r22892;
}


double f_of(float x, float n) {
        float r22893 = 1;
        float r22894 = x;
        float r22895 = n;
        float r22896 = r22893 / r22895;
        float r22897 = pow(r22894, r22896);
        float r22898 = r22893 - r22897;
        float r22899 = r22894 * r22895;
        float r22900 = r22893 / r22899;
        float r22901 = log(r22894);
        float r22902 = r22901 / r22895;
        float r22903 = r22900 + r22902;
        float r22904 = r22898 + r22903;
        float r22905 = -2.1167336225488255e-06;
        bool r22906 = r22904 <= r22905;
        float r22907 = r22893 + r22894;
        float r22908 = pow(r22907, r22896);
        float r22909 = r22908 - r22897;
        float r22910 = exp(r22909);
        float r22911 = log(r22910);
        float r22912 = 5.395676965408724e-17;
        bool r22913 = r22904 <= r22912;
        float r22914 = r22895 * r22895;
        float r22915 = r22901 / r22914;
        float r22916 = r22915 / r22894;
        float r22917 = 1/2;
        float r22918 = r22917 / r22895;
        float r22919 = r22894 * r22894;
        float r22920 = r22918 / r22919;
        float r22921 = r22920 - r22900;
        float r22922 = r22916 - r22921;
        float r22923 = log1p(r22894);
        float r22924 = r22923 / r22895;
        float r22925 = exp(r22924);
        float r22926 = r22925 - r22897;
        float r22927 = r22913 ? r22922 : r22926;
        float r22928 = r22906 ? r22911 : r22927;
        return r22928;
}

double f_od(double x, double n) {
        double r22929 = 1;
        double r22930 = x;
        double r22931 = n;
        double r22932 = r22929 / r22931;
        double r22933 = pow(r22930, r22932);
        double r22934 = r22929 - r22933;
        double r22935 = r22930 * r22931;
        double r22936 = r22929 / r22935;
        double r22937 = log(r22930);
        double r22938 = r22937 / r22931;
        double r22939 = r22936 + r22938;
        double r22940 = r22934 + r22939;
        double r22941 = -2.1167336225488255e-06;
        bool r22942 = r22940 <= r22941;
        double r22943 = r22929 + r22930;
        double r22944 = pow(r22943, r22932);
        double r22945 = r22944 - r22933;
        double r22946 = exp(r22945);
        double r22947 = log(r22946);
        double r22948 = 5.395676965408724e-17;
        bool r22949 = r22940 <= r22948;
        double r22950 = r22931 * r22931;
        double r22951 = r22937 / r22950;
        double r22952 = r22951 / r22930;
        double r22953 = 1/2;
        double r22954 = r22953 / r22931;
        double r22955 = r22930 * r22930;
        double r22956 = r22954 / r22955;
        double r22957 = r22956 - r22936;
        double r22958 = r22952 - r22957;
        double r22959 = log1p(r22930);
        double r22960 = r22959 / r22931;
        double r22961 = exp(r22960);
        double r22962 = r22961 - r22933;
        double r22963 = r22949 ? r22958 : r22962;
        double r22964 = r22942 ? r22947 : r22963;
        return r22964;
}

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 r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22965);
        mpfr_init_set_str(r22966, "1", 10, MPFR_RNDN);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
}

double f_im(double x, double n) {
        mpfr_set_d(r22965, x, MPFR_RNDN);
        ;
        mpfr_add(r22967, r22965, r22966, MPFR_RNDN);
        mpfr_set_d(r22968, n, MPFR_RNDN);
        mpfr_div(r22969, r22966, r22968, MPFR_RNDN);
        mpfr_pow(r22970, r22967, r22969, MPFR_RNDN);
        mpfr_pow(r22971, r22965, r22969, MPFR_RNDN);
        mpfr_sub(r22972, r22970, r22971, MPFR_RNDN);
        return mpfr_get_d(r22972, MPFR_RNDN);
}

static mpfr_t 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, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22973, "1", 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(r22981);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init_set_str(r22985, "-2.1167336225488255e-06", 10, MPFR_RNDN);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init_set_str(r22992, "5.395676965408724e-17", 10, MPFR_RNDN);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init_set_str(r22997, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r22974, x, MPFR_RNDN);
        mpfr_set_d(r22975, n, MPFR_RNDN);
        mpfr_div(r22976, r22973, r22975, MPFR_RNDN);
        mpfr_pow(r22977, r22974, r22976, MPFR_RNDN);
        mpfr_sub(r22978, r22973, r22977, MPFR_RNDN);
        mpfr_mul(r22979, r22974, r22975, MPFR_RNDN);
        mpfr_div(r22980, r22973, r22979, MPFR_RNDN);
        mpfr_log(r22981, r22974, MPFR_RNDN);
        mpfr_div(r22982, r22981, r22975, MPFR_RNDN);
        mpfr_add(r22983, r22980, r22982, MPFR_RNDN);
        mpfr_add(r22984, r22978, r22983, MPFR_RNDN);
        ;
        mpfr_set_si(r22986, mpfr_cmp(r22984, r22985) <= 0, MPFR_RNDN);
        mpfr_add(r22987, r22973, r22974, MPFR_RNDN);
        mpfr_pow(r22988, r22987, r22976, MPFR_RNDN);
        mpfr_sub(r22989, r22988, r22977, MPFR_RNDN);
        mpfr_exp(r22990, r22989, MPFR_RNDN);
        mpfr_log(r22991, r22990, MPFR_RNDN);
        ;
        mpfr_set_si(r22993, mpfr_cmp(r22984, r22992) <= 0, MPFR_RNDN);
        mpfr_mul(r22994, r22975, r22975, MPFR_RNDN);
        mpfr_div(r22995, r22981, r22994, MPFR_RNDN);
        mpfr_div(r22996, r22995, r22974, MPFR_RNDN);
        ;
        mpfr_div(r22998, r22997, r22975, MPFR_RNDN);
        mpfr_mul(r22999, r22974, r22974, MPFR_RNDN);
        mpfr_div(r23000, r22998, r22999, MPFR_RNDN);
        mpfr_sub(r23001, r23000, r22980, MPFR_RNDN);
        mpfr_sub(r23002, r22996, r23001, MPFR_RNDN);
        mpfr_log1p(r23003, r22974, MPFR_RNDN);
        mpfr_div(r23004, r23003, r22975, MPFR_RNDN);
        mpfr_exp(r23005, r23004, MPFR_RNDN);
        mpfr_sub(r23006, r23005, r22977, MPFR_RNDN);
        if (mpfr_get_si(r22993, MPFR_RNDN)) { mpfr_set(r23007, r23002, MPFR_RNDN); } else { mpfr_set(r23007, r23006, MPFR_RNDN); };
        if (mpfr_get_si(r22986, MPFR_RNDN)) { mpfr_set(r23008, r22991, MPFR_RNDN); } else { mpfr_set(r23008, r23007, MPFR_RNDN); };
        return mpfr_get_d(r23008, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23009, "1", 10, MPFR_RNDN);
        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, "-2.1167336225488255e-06", 10, MPFR_RNDN);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init_set_str(r23028, "5.395676965408724e-17", 10, MPFR_RNDN);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init_set_str(r23033, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23034);
        mpfr_init(r23035);
        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);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r23010, x, MPFR_RNDN);
        mpfr_set_d(r23011, n, MPFR_RNDN);
        mpfr_div(r23012, r23009, r23011, MPFR_RNDN);
        mpfr_pow(r23013, r23010, r23012, MPFR_RNDN);
        mpfr_sub(r23014, r23009, r23013, MPFR_RNDN);
        mpfr_mul(r23015, r23010, r23011, MPFR_RNDN);
        mpfr_div(r23016, r23009, r23015, MPFR_RNDN);
        mpfr_log(r23017, r23010, MPFR_RNDN);
        mpfr_div(r23018, r23017, r23011, MPFR_RNDN);
        mpfr_add(r23019, r23016, r23018, MPFR_RNDN);
        mpfr_add(r23020, r23014, r23019, MPFR_RNDN);
        ;
        mpfr_set_si(r23022, mpfr_cmp(r23020, r23021) <= 0, MPFR_RNDN);
        mpfr_add(r23023, r23009, r23010, MPFR_RNDN);
        mpfr_pow(r23024, r23023, r23012, MPFR_RNDN);
        mpfr_sub(r23025, r23024, r23013, MPFR_RNDN);
        mpfr_exp(r23026, r23025, MPFR_RNDN);
        mpfr_log(r23027, r23026, MPFR_RNDN);
        ;
        mpfr_set_si(r23029, mpfr_cmp(r23020, r23028) <= 0, MPFR_RNDN);
        mpfr_mul(r23030, r23011, r23011, MPFR_RNDN);
        mpfr_div(r23031, r23017, r23030, MPFR_RNDN);
        mpfr_div(r23032, r23031, r23010, MPFR_RNDN);
        ;
        mpfr_div(r23034, r23033, r23011, MPFR_RNDN);
        mpfr_mul(r23035, r23010, r23010, MPFR_RNDN);
        mpfr_div(r23036, r23034, r23035, MPFR_RNDN);
        mpfr_sub(r23037, r23036, r23016, MPFR_RNDN);
        mpfr_sub(r23038, r23032, r23037, MPFR_RNDN);
        mpfr_log1p(r23039, r23010, MPFR_RNDN);
        mpfr_div(r23040, r23039, r23011, MPFR_RNDN);
        mpfr_exp(r23041, r23040, MPFR_RNDN);
        mpfr_sub(r23042, r23041, r23013, MPFR_RNDN);
        if (mpfr_get_si(r23029, MPFR_RNDN)) { mpfr_set(r23043, r23038, MPFR_RNDN); } else { mpfr_set(r23043, r23042, MPFR_RNDN); };
        if (mpfr_get_si(r23022, MPFR_RNDN)) { mpfr_set(r23044, r23027, MPFR_RNDN); } else { mpfr_set(r23044, r23043, MPFR_RNDN); };
        return mpfr_get_d(r23044, MPFR_RNDN);
}