#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 r22901 = x;
        float r22902 = 1;
        float r22903 = r22901 + r22902;
        float r22904 = n;
        float r22905 = r22902 / r22904;
        float r22906 = pow(r22903, r22905);
        float r22907 = pow(r22901, r22905);
        float r22908 = r22906 - r22907;
        return r22908;
}

double f_id(double x, double n) {
        double r22909 = x;
        double r22910 = 1;
        double r22911 = r22909 + r22910;
        double r22912 = n;
        double r22913 = r22910 / r22912;
        double r22914 = pow(r22911, r22913);
        double r22915 = pow(r22909, r22913);
        double r22916 = r22914 - r22915;
        return r22916;
}


double f_of(float x, float n) {
        float r22917 = x;
        float r22918 = 0.7202147741723637;
        bool r22919 = r22917 <= r22918;
        float r22920 = 1;
        float r22921 = r22920 + r22917;
        float r22922 = n;
        float r22923 = r22920 / r22922;
        float r22924 = pow(r22921, r22923);
        float r22925 = r22924 - r22920;
        float r22926 = log(r22917);
        float r22927 = 1/2;
        float r22928 = r22927 / r22922;
        float r22929 = r22926 * r22928;
        float r22930 = r22922 / r22926;
        float r22931 = r22929 / r22930;
        float r22932 = r22925 - r22931;
        float r22933 = r22926 / r22922;
        float r22934 = r22932 - r22933;
        float r22935 = 2.57579756312825e+90;
        bool r22936 = r22917 <= r22935;
        float r22937 = r22923 / r22917;
        float r22938 = r22917 * r22917;
        float r22939 = r22928 / r22938;
        float r22940 = r22937 - r22939;
        float r22941 = r22922 * r22917;
        float r22942 = r22941 * r22922;
        float r22943 = r22926 / r22942;
        float r22944 = r22940 + r22943;
        float r22945 = 2.2986522479703733e+129;
        bool r22946 = r22917 <= r22945;
        float r22947 = pow(r22917, r22923);
        float r22948 = r22924 - r22947;
        float r22949 = exp(r22948);
        float r22950 = cbrt(r22949);
        float r22951 = r22950 * r22950;
        float r22952 = log(r22951);
        float r22953 = log(r22950);
        float r22954 = r22952 + r22953;
        float r22955 = 4.764058783979057e+241;
        bool r22956 = r22917 <= r22955;
        float r22957 = r22956 ? r22944 : r22954;
        float r22958 = r22946 ? r22954 : r22957;
        float r22959 = r22936 ? r22944 : r22958;
        float r22960 = r22919 ? r22934 : r22959;
        return r22960;
}

double f_od(double x, double n) {
        double r22961 = x;
        double r22962 = 0.7202147741723637;
        bool r22963 = r22961 <= r22962;
        double r22964 = 1;
        double r22965 = r22964 + r22961;
        double r22966 = n;
        double r22967 = r22964 / r22966;
        double r22968 = pow(r22965, r22967);
        double r22969 = r22968 - r22964;
        double r22970 = log(r22961);
        double r22971 = 1/2;
        double r22972 = r22971 / r22966;
        double r22973 = r22970 * r22972;
        double r22974 = r22966 / r22970;
        double r22975 = r22973 / r22974;
        double r22976 = r22969 - r22975;
        double r22977 = r22970 / r22966;
        double r22978 = r22976 - r22977;
        double r22979 = 2.57579756312825e+90;
        bool r22980 = r22961 <= r22979;
        double r22981 = r22967 / r22961;
        double r22982 = r22961 * r22961;
        double r22983 = r22972 / r22982;
        double r22984 = r22981 - r22983;
        double r22985 = r22966 * r22961;
        double r22986 = r22985 * r22966;
        double r22987 = r22970 / r22986;
        double r22988 = r22984 + r22987;
        double r22989 = 2.2986522479703733e+129;
        bool r22990 = r22961 <= r22989;
        double r22991 = pow(r22961, r22967);
        double r22992 = r22968 - r22991;
        double r22993 = exp(r22992);
        double r22994 = cbrt(r22993);
        double r22995 = r22994 * r22994;
        double r22996 = log(r22995);
        double r22997 = log(r22994);
        double r22998 = r22996 + r22997;
        double r22999 = 4.764058783979057e+241;
        bool r23000 = r22961 <= r22999;
        double r23001 = r23000 ? r22988 : r22998;
        double r23002 = r22990 ? r22998 : r23001;
        double r23003 = r22980 ? r22988 : r23002;
        double r23004 = r22963 ? r22978 : r23003;
        return r23004;
}

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 r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23005);
        mpfr_init_set_str(r23006, "1", 10, MPFR_RNDN);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
}

double f_im(double x, double n) {
        mpfr_set_d(r23005, x, MPFR_RNDN);
        ;
        mpfr_add(r23007, r23005, r23006, MPFR_RNDN);
        mpfr_set_d(r23008, n, MPFR_RNDN);
        mpfr_div(r23009, r23006, r23008, MPFR_RNDN);
        mpfr_pow(r23010, r23007, r23009, MPFR_RNDN);
        mpfr_pow(r23011, r23005, r23009, MPFR_RNDN);
        mpfr_sub(r23012, r23010, r23011, MPFR_RNDN);
        return mpfr_get_d(r23012, MPFR_RNDN);
}

static mpfr_t 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, r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055, r23056;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23013);
        mpfr_init_set_str(r23014, "0.7202147741723637", 10, MPFR_RNDN);
        mpfr_init(r23015);
        mpfr_init_set_str(r23016, "1", 10, MPFR_RNDN);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init_set_str(r23023, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23024);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init_set_str(r23031, "2.57579756312825e+90", 10, MPFR_RNDN);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
        mpfr_init(r23037);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init_set_str(r23041, "2.2986522479703733e+129", 10, MPFR_RNDN);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init(r23045);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init(r23048);
        mpfr_init(r23049);
        mpfr_init(r23050);
        mpfr_init_set_str(r23051, "4.764058783979057e+241", 10, MPFR_RNDN);
        mpfr_init(r23052);
        mpfr_init(r23053);
        mpfr_init(r23054);
        mpfr_init(r23055);
        mpfr_init(r23056);
}

double f_fm(double x, double n) {
        mpfr_set_d(r23013, x, MPFR_RNDN);
        ;
        mpfr_set_si(r23015, mpfr_cmp(r23013, r23014) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r23017, r23016, r23013, MPFR_RNDN);
        mpfr_set_d(r23018, n, MPFR_RNDN);
        mpfr_div(r23019, r23016, r23018, MPFR_RNDN);
        mpfr_pow(r23020, r23017, r23019, MPFR_RNDN);
        mpfr_sub(r23021, r23020, r23016, MPFR_RNDN);
        mpfr_log(r23022, r23013, MPFR_RNDN);
        ;
        mpfr_div(r23024, r23023, r23018, MPFR_RNDN);
        mpfr_mul(r23025, r23022, r23024, MPFR_RNDN);
        mpfr_div(r23026, r23018, r23022, MPFR_RNDN);
        mpfr_div(r23027, r23025, r23026, MPFR_RNDN);
        mpfr_sub(r23028, r23021, r23027, MPFR_RNDN);
        mpfr_div(r23029, r23022, r23018, MPFR_RNDN);
        mpfr_sub(r23030, r23028, r23029, MPFR_RNDN);
        ;
        mpfr_set_si(r23032, mpfr_cmp(r23013, r23031) <= 0, MPFR_RNDN);
        mpfr_div(r23033, r23019, r23013, MPFR_RNDN);
        mpfr_mul(r23034, r23013, r23013, MPFR_RNDN);
        mpfr_div(r23035, r23024, r23034, MPFR_RNDN);
        mpfr_sub(r23036, r23033, r23035, MPFR_RNDN);
        mpfr_mul(r23037, r23018, r23013, MPFR_RNDN);
        mpfr_mul(r23038, r23037, r23018, MPFR_RNDN);
        mpfr_div(r23039, r23022, r23038, MPFR_RNDN);
        mpfr_add(r23040, r23036, r23039, MPFR_RNDN);
        ;
        mpfr_set_si(r23042, mpfr_cmp(r23013, r23041) <= 0, MPFR_RNDN);
        mpfr_pow(r23043, r23013, r23019, MPFR_RNDN);
        mpfr_sub(r23044, r23020, r23043, MPFR_RNDN);
        mpfr_exp(r23045, r23044, MPFR_RNDN);
        mpfr_cbrt(r23046, r23045, MPFR_RNDN);
        mpfr_mul(r23047, r23046, r23046, MPFR_RNDN);
        mpfr_log(r23048, r23047, MPFR_RNDN);
        mpfr_log(r23049, r23046, MPFR_RNDN);
        mpfr_add(r23050, r23048, r23049, MPFR_RNDN);
        ;
        mpfr_set_si(r23052, mpfr_cmp(r23013, r23051) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r23052, MPFR_RNDN)) { mpfr_set(r23053, r23040, MPFR_RNDN); } else { mpfr_set(r23053, r23050, MPFR_RNDN); };
        if (mpfr_get_si(r23042, MPFR_RNDN)) { mpfr_set(r23054, r23050, MPFR_RNDN); } else { mpfr_set(r23054, r23053, MPFR_RNDN); };
        if (mpfr_get_si(r23032, MPFR_RNDN)) { mpfr_set(r23055, r23040, MPFR_RNDN); } else { mpfr_set(r23055, r23054, MPFR_RNDN); };
        if (mpfr_get_si(r23015, MPFR_RNDN)) { mpfr_set(r23056, r23030, MPFR_RNDN); } else { mpfr_set(r23056, r23055, MPFR_RNDN); };
        return mpfr_get_d(r23056, MPFR_RNDN);
}

static mpfr_t r23057, r23058, r23059, r23060, r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23057);
        mpfr_init_set_str(r23058, "0.7202147741723637", 10, MPFR_RNDN);
        mpfr_init(r23059);
        mpfr_init_set_str(r23060, "1", 10, MPFR_RNDN);
        mpfr_init(r23061);
        mpfr_init(r23062);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init_set_str(r23067, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init_set_str(r23075, "2.57579756312825e+90", 10, MPFR_RNDN);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init_set_str(r23085, "2.2986522479703733e+129", 10, MPFR_RNDN);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init_set_str(r23095, "4.764058783979057e+241", 10, MPFR_RNDN);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init(r23100);
}

double f_dm(double x, double n) {
        mpfr_set_d(r23057, x, MPFR_RNDN);
        ;
        mpfr_set_si(r23059, mpfr_cmp(r23057, r23058) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r23061, r23060, r23057, MPFR_RNDN);
        mpfr_set_d(r23062, n, MPFR_RNDN);
        mpfr_div(r23063, r23060, r23062, MPFR_RNDN);
        mpfr_pow(r23064, r23061, r23063, MPFR_RNDN);
        mpfr_sub(r23065, r23064, r23060, MPFR_RNDN);
        mpfr_log(r23066, r23057, MPFR_RNDN);
        ;
        mpfr_div(r23068, r23067, r23062, MPFR_RNDN);
        mpfr_mul(r23069, r23066, r23068, MPFR_RNDN);
        mpfr_div(r23070, r23062, r23066, MPFR_RNDN);
        mpfr_div(r23071, r23069, r23070, MPFR_RNDN);
        mpfr_sub(r23072, r23065, r23071, MPFR_RNDN);
        mpfr_div(r23073, r23066, r23062, MPFR_RNDN);
        mpfr_sub(r23074, r23072, r23073, MPFR_RNDN);
        ;
        mpfr_set_si(r23076, mpfr_cmp(r23057, r23075) <= 0, MPFR_RNDN);
        mpfr_div(r23077, r23063, r23057, MPFR_RNDN);
        mpfr_mul(r23078, r23057, r23057, MPFR_RNDN);
        mpfr_div(r23079, r23068, r23078, MPFR_RNDN);
        mpfr_sub(r23080, r23077, r23079, MPFR_RNDN);
        mpfr_mul(r23081, r23062, r23057, MPFR_RNDN);
        mpfr_mul(r23082, r23081, r23062, MPFR_RNDN);
        mpfr_div(r23083, r23066, r23082, MPFR_RNDN);
        mpfr_add(r23084, r23080, r23083, MPFR_RNDN);
        ;
        mpfr_set_si(r23086, mpfr_cmp(r23057, r23085) <= 0, MPFR_RNDN);
        mpfr_pow(r23087, r23057, r23063, MPFR_RNDN);
        mpfr_sub(r23088, r23064, r23087, MPFR_RNDN);
        mpfr_exp(r23089, r23088, MPFR_RNDN);
        mpfr_cbrt(r23090, r23089, MPFR_RNDN);
        mpfr_mul(r23091, r23090, r23090, MPFR_RNDN);
        mpfr_log(r23092, r23091, MPFR_RNDN);
        mpfr_log(r23093, r23090, MPFR_RNDN);
        mpfr_add(r23094, r23092, r23093, MPFR_RNDN);
        ;
        mpfr_set_si(r23096, mpfr_cmp(r23057, r23095) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r23096, MPFR_RNDN)) { mpfr_set(r23097, r23084, MPFR_RNDN); } else { mpfr_set(r23097, r23094, MPFR_RNDN); };
        if (mpfr_get_si(r23086, MPFR_RNDN)) { mpfr_set(r23098, r23094, MPFR_RNDN); } else { mpfr_set(r23098, r23097, MPFR_RNDN); };
        if (mpfr_get_si(r23076, MPFR_RNDN)) { mpfr_set(r23099, r23084, MPFR_RNDN); } else { mpfr_set(r23099, r23098, MPFR_RNDN); };
        if (mpfr_get_si(r23059, MPFR_RNDN)) { mpfr_set(r23100, r23074, MPFR_RNDN); } else { mpfr_set(r23100, r23099, MPFR_RNDN); };
        return mpfr_get_d(r23100, MPFR_RNDN);
}

