#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 r20895 = x;
        float r20896 = 1;
        float r20897 = r20895 + r20896;
        float r20898 = n;
        float r20899 = r20896 / r20898;
        float r20900 = pow(r20897, r20899);
        float r20901 = pow(r20895, r20899);
        float r20902 = r20900 - r20901;
        return r20902;
}

double f_id(double x, double n) {
        double r20903 = x;
        double r20904 = 1;
        double r20905 = r20903 + r20904;
        double r20906 = n;
        double r20907 = r20904 / r20906;
        double r20908 = pow(r20905, r20907);
        double r20909 = pow(r20903, r20907);
        double r20910 = r20908 - r20909;
        return r20910;
}


double f_of(float x, float n) {
        float r20911 = x;
        float r20912 = log1p(r20911);
        float r20913 = n;
        float r20914 = r20912 / r20913;
        float r20915 = expm1(r20914);
        float r20916 = log(r20911);
        float r20917 = r20916 / r20913;
        float r20918 = 1/2;
        float r20919 = r20913 / r20918;
        float r20920 = r20916 / r20919;
        float r20921 = fma(r20917, r20920, r20917);
        float r20922 = r20915 - r20921;
        float r20923 = -5.321328334255843e-26;
        bool r20924 = r20922 <= r20923;
        float r20925 = exp(r20914);
        float r20926 = 1;
        float r20927 = r20926 / r20913;
        float r20928 = pow(r20911, r20927);
        float r20929 = r20925 - r20928;
        float r20930 = -2.0502360328626817e-286;
        bool r20931 = r20922 <= r20930;
        float r20932 = 0.0;
        bool r20933 = r20922 <= r20932;
        float r20934 = r20911 * r20913;
        float r20935 = r20926 / r20934;
        float r20936 = r20918 / r20913;
        float r20937 = r20911 * r20911;
        float r20938 = r20936 / r20937;
        float r20939 = r20935 - r20938;
        float r20940 = -r20916;
        float r20941 = r20913 * r20913;
        float r20942 = r20941 * r20911;
        float r20943 = r20940 / r20942;
        float r20944 = r20939 - r20943;
        float r20945 = r20933 ? r20944 : r20922;
        float r20946 = r20931 ? r20922 : r20945;
        float r20947 = r20924 ? r20929 : r20946;
        return r20947;
}

double f_od(double x, double n) {
        double r20948 = x;
        double r20949 = log1p(r20948);
        double r20950 = n;
        double r20951 = r20949 / r20950;
        double r20952 = expm1(r20951);
        double r20953 = log(r20948);
        double r20954 = r20953 / r20950;
        double r20955 = 1/2;
        double r20956 = r20950 / r20955;
        double r20957 = r20953 / r20956;
        double r20958 = fma(r20954, r20957, r20954);
        double r20959 = r20952 - r20958;
        double r20960 = -5.321328334255843e-26;
        bool r20961 = r20959 <= r20960;
        double r20962 = exp(r20951);
        double r20963 = 1;
        double r20964 = r20963 / r20950;
        double r20965 = pow(r20948, r20964);
        double r20966 = r20962 - r20965;
        double r20967 = -2.0502360328626817e-286;
        bool r20968 = r20959 <= r20967;
        double r20969 = 0.0;
        bool r20970 = r20959 <= r20969;
        double r20971 = r20948 * r20950;
        double r20972 = r20963 / r20971;
        double r20973 = r20955 / r20950;
        double r20974 = r20948 * r20948;
        double r20975 = r20973 / r20974;
        double r20976 = r20972 - r20975;
        double r20977 = -r20953;
        double r20978 = r20950 * r20950;
        double r20979 = r20978 * r20948;
        double r20980 = r20977 / r20979;
        double r20981 = r20976 - r20980;
        double r20982 = r20970 ? r20981 : r20959;
        double r20983 = r20968 ? r20959 : r20982;
        double r20984 = r20961 ? r20966 : r20983;
        return r20984;
}

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 r20985, r20986, r20987, r20988, r20989, r20990, r20991, r20992;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20985);
        mpfr_init_set_str(r20986, "1", 10, MPFR_RNDN);
        mpfr_init(r20987);
        mpfr_init(r20988);
        mpfr_init(r20989);
        mpfr_init(r20990);
        mpfr_init(r20991);
        mpfr_init(r20992);
}

double f_im(double x, double n) {
        mpfr_set_d(r20985, x, MPFR_RNDN);
        ;
        mpfr_add(r20987, r20985, r20986, MPFR_RNDN);
        mpfr_set_d(r20988, n, MPFR_RNDN);
        mpfr_div(r20989, r20986, r20988, MPFR_RNDN);
        mpfr_pow(r20990, r20987, r20989, MPFR_RNDN);
        mpfr_pow(r20991, r20985, r20989, MPFR_RNDN);
        mpfr_sub(r20992, r20990, r20991, MPFR_RNDN);
        return mpfr_get_d(r20992, MPFR_RNDN);
}

static mpfr_t r20993, r20994, r20995, r20996, r20997, r20998, r20999, r21000, r21001, r21002, r21003, r21004, r21005, r21006, r21007, r21008, r21009, r21010, r21011, r21012, r21013, r21014, r21015, r21016, r21017, r21018, r21019, r21020, r21021, r21022, r21023, r21024, r21025, r21026, r21027, r21028, r21029;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20993);
        mpfr_init(r20994);
        mpfr_init(r20995);
        mpfr_init(r20996);
        mpfr_init(r20997);
        mpfr_init(r20998);
        mpfr_init(r20999);
        mpfr_init_set_str(r21000, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21001);
        mpfr_init(r21002);
        mpfr_init(r21003);
        mpfr_init(r21004);
        mpfr_init_set_str(r21005, "-5.321328334255843e-26", 10, MPFR_RNDN);
        mpfr_init(r21006);
        mpfr_init(r21007);
        mpfr_init_set_str(r21008, "1", 10, MPFR_RNDN);
        mpfr_init(r21009);
        mpfr_init(r21010);
        mpfr_init(r21011);
        mpfr_init_set_str(r21012, "-2.0502360328626817e-286", 10, MPFR_RNDN);
        mpfr_init(r21013);
        mpfr_init_set_str(r21014, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21015);
        mpfr_init(r21016);
        mpfr_init(r21017);
        mpfr_init(r21018);
        mpfr_init(r21019);
        mpfr_init(r21020);
        mpfr_init(r21021);
        mpfr_init(r21022);
        mpfr_init(r21023);
        mpfr_init(r21024);
        mpfr_init(r21025);
        mpfr_init(r21026);
        mpfr_init(r21027);
        mpfr_init(r21028);
        mpfr_init(r21029);
}

double f_fm(double x, double n) {
        mpfr_set_d(r20993, x, MPFR_RNDN);
        mpfr_log1p(r20994, r20993, MPFR_RNDN);
        mpfr_set_d(r20995, n, MPFR_RNDN);
        mpfr_div(r20996, r20994, r20995, MPFR_RNDN);
        mpfr_expm1(r20997, r20996, MPFR_RNDN);
        mpfr_log(r20998, r20993, MPFR_RNDN);
        mpfr_div(r20999, r20998, r20995, MPFR_RNDN);
        ;
        mpfr_div(r21001, r20995, r21000, MPFR_RNDN);
        mpfr_div(r21002, r20998, r21001, MPFR_RNDN);
        mpfr_fma(r21003, r20999, r21002, r20999, MPFR_RNDN);
        mpfr_sub(r21004, r20997, r21003, MPFR_RNDN);
        ;
        mpfr_set_si(r21006, mpfr_cmp(r21004, r21005) <= 0, MPFR_RNDN);
        mpfr_exp(r21007, r20996, MPFR_RNDN);
        ;
        mpfr_div(r21009, r21008, r20995, MPFR_RNDN);
        mpfr_pow(r21010, r20993, r21009, MPFR_RNDN);
        mpfr_sub(r21011, r21007, r21010, MPFR_RNDN);
        ;
        mpfr_set_si(r21013, mpfr_cmp(r21004, r21012) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21015, mpfr_cmp(r21004, r21014) <= 0, MPFR_RNDN);
        mpfr_mul(r21016, r20993, r20995, MPFR_RNDN);
        mpfr_div(r21017, r21008, r21016, MPFR_RNDN);
        mpfr_div(r21018, r21000, r20995, MPFR_RNDN);
        mpfr_mul(r21019, r20993, r20993, MPFR_RNDN);
        mpfr_div(r21020, r21018, r21019, MPFR_RNDN);
        mpfr_sub(r21021, r21017, r21020, MPFR_RNDN);
        mpfr_neg(r21022, r20998, MPFR_RNDN);
        mpfr_mul(r21023, r20995, r20995, MPFR_RNDN);
        mpfr_mul(r21024, r21023, r20993, MPFR_RNDN);
        mpfr_div(r21025, r21022, r21024, MPFR_RNDN);
        mpfr_sub(r21026, r21021, r21025, MPFR_RNDN);
        if (mpfr_get_si(r21015, MPFR_RNDN)) { mpfr_set(r21027, r21026, MPFR_RNDN); } else { mpfr_set(r21027, r21004, MPFR_RNDN); };
        if (mpfr_get_si(r21013, MPFR_RNDN)) { mpfr_set(r21028, r21004, MPFR_RNDN); } else { mpfr_set(r21028, r21027, MPFR_RNDN); };
        if (mpfr_get_si(r21006, MPFR_RNDN)) { mpfr_set(r21029, r21011, MPFR_RNDN); } else { mpfr_set(r21029, r21028, MPFR_RNDN); };
        return mpfr_get_d(r21029, MPFR_RNDN);
}

static mpfr_t r21030, r21031, r21032, r21033, r21034, r21035, r21036, r21037, r21038, r21039, r21040, r21041, r21042, r21043, r21044, r21045, r21046, r21047, r21048, r21049, r21050, r21051, r21052, r21053, r21054, r21055, r21056, r21057, r21058, r21059, r21060, r21061, r21062, r21063, r21064, r21065, r21066;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21030);
        mpfr_init(r21031);
        mpfr_init(r21032);
        mpfr_init(r21033);
        mpfr_init(r21034);
        mpfr_init(r21035);
        mpfr_init(r21036);
        mpfr_init_set_str(r21037, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21038);
        mpfr_init(r21039);
        mpfr_init(r21040);
        mpfr_init(r21041);
        mpfr_init_set_str(r21042, "-5.321328334255843e-26", 10, MPFR_RNDN);
        mpfr_init(r21043);
        mpfr_init(r21044);
        mpfr_init_set_str(r21045, "1", 10, MPFR_RNDN);
        mpfr_init(r21046);
        mpfr_init(r21047);
        mpfr_init(r21048);
        mpfr_init_set_str(r21049, "-2.0502360328626817e-286", 10, MPFR_RNDN);
        mpfr_init(r21050);
        mpfr_init_set_str(r21051, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21052);
        mpfr_init(r21053);
        mpfr_init(r21054);
        mpfr_init(r21055);
        mpfr_init(r21056);
        mpfr_init(r21057);
        mpfr_init(r21058);
        mpfr_init(r21059);
        mpfr_init(r21060);
        mpfr_init(r21061);
        mpfr_init(r21062);
        mpfr_init(r21063);
        mpfr_init(r21064);
        mpfr_init(r21065);
        mpfr_init(r21066);
}

double f_dm(double x, double n) {
        mpfr_set_d(r21030, x, MPFR_RNDN);
        mpfr_log1p(r21031, r21030, MPFR_RNDN);
        mpfr_set_d(r21032, n, MPFR_RNDN);
        mpfr_div(r21033, r21031, r21032, MPFR_RNDN);
        mpfr_expm1(r21034, r21033, MPFR_RNDN);
        mpfr_log(r21035, r21030, MPFR_RNDN);
        mpfr_div(r21036, r21035, r21032, MPFR_RNDN);
        ;
        mpfr_div(r21038, r21032, r21037, MPFR_RNDN);
        mpfr_div(r21039, r21035, r21038, MPFR_RNDN);
        mpfr_fma(r21040, r21036, r21039, r21036, MPFR_RNDN);
        mpfr_sub(r21041, r21034, r21040, MPFR_RNDN);
        ;
        mpfr_set_si(r21043, mpfr_cmp(r21041, r21042) <= 0, MPFR_RNDN);
        mpfr_exp(r21044, r21033, MPFR_RNDN);
        ;
        mpfr_div(r21046, r21045, r21032, MPFR_RNDN);
        mpfr_pow(r21047, r21030, r21046, MPFR_RNDN);
        mpfr_sub(r21048, r21044, r21047, MPFR_RNDN);
        ;
        mpfr_set_si(r21050, mpfr_cmp(r21041, r21049) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21052, mpfr_cmp(r21041, r21051) <= 0, MPFR_RNDN);
        mpfr_mul(r21053, r21030, r21032, MPFR_RNDN);
        mpfr_div(r21054, r21045, r21053, MPFR_RNDN);
        mpfr_div(r21055, r21037, r21032, MPFR_RNDN);
        mpfr_mul(r21056, r21030, r21030, MPFR_RNDN);
        mpfr_div(r21057, r21055, r21056, MPFR_RNDN);
        mpfr_sub(r21058, r21054, r21057, MPFR_RNDN);
        mpfr_neg(r21059, r21035, MPFR_RNDN);
        mpfr_mul(r21060, r21032, r21032, MPFR_RNDN);
        mpfr_mul(r21061, r21060, r21030, MPFR_RNDN);
        mpfr_div(r21062, r21059, r21061, MPFR_RNDN);
        mpfr_sub(r21063, r21058, r21062, MPFR_RNDN);
        if (mpfr_get_si(r21052, MPFR_RNDN)) { mpfr_set(r21064, r21063, MPFR_RNDN); } else { mpfr_set(r21064, r21041, MPFR_RNDN); };
        if (mpfr_get_si(r21050, MPFR_RNDN)) { mpfr_set(r21065, r21041, MPFR_RNDN); } else { mpfr_set(r21065, r21064, MPFR_RNDN); };
        if (mpfr_get_si(r21043, MPFR_RNDN)) { mpfr_set(r21066, r21048, MPFR_RNDN); } else { mpfr_set(r21066, r21065, MPFR_RNDN); };
        return mpfr_get_d(r21066, MPFR_RNDN);
}