#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 r22994 = x;
        float r22995 = 1;
        float r22996 = r22994 + r22995;
        float r22997 = n;
        float r22998 = r22995 / r22997;
        float r22999 = pow(r22996, r22998);
        float r23000 = pow(r22994, r22998);
        float r23001 = r22999 - r23000;
        return r23001;
}

double f_id(double x, double n) {
        double r23002 = x;
        double r23003 = 1;
        double r23004 = r23002 + r23003;
        double r23005 = n;
        double r23006 = r23003 / r23005;
        double r23007 = pow(r23004, r23006);
        double r23008 = pow(r23002, r23006);
        double r23009 = r23007 - r23008;
        return r23009;
}


double f_of(float x, float n) {
        float r23010 = 1;
        float r23011 = x;
        float r23012 = n;
        float r23013 = r23011 * r23012;
        float r23014 = r23010 / r23013;
        float r23015 = 1/2;
        float r23016 = r23015 / r23011;
        float r23017 = r23016 / r23013;
        float r23018 = r23014 - r23017;
        float r23019 = log(r23011);
        float r23020 = r23012 * r23012;
        float r23021 = r23020 * r23011;
        float r23022 = r23019 / r23021;
        float r23023 = r23018 + r23022;
        float r23024 = -2.7606260239670904e-38;
        bool r23025 = r23023 <= r23024;
        float r23026 = r23010 + r23011;
        float r23027 = r23010 / r23012;
        float r23028 = pow(r23026, r23027);
        float r23029 = r23028 - r23010;
        float r23030 = r23015 / r23012;
        float r23031 = r23019 * r23030;
        float r23032 = r23012 / r23019;
        float r23033 = r23031 / r23032;
        float r23034 = r23029 - r23033;
        float r23035 = r23019 / r23012;
        float r23036 = r23034 - r23035;
        float r23037 = 2.117267172460808e-75;
        bool r23038 = r23023 <= r23037;
        float r23039 = r23027 / r23011;
        float r23040 = r23019 / r23013;
        float r23041 = r23040 / r23012;
        float r23042 = r23011 * r23011;
        float r23043 = r23030 / r23042;
        float r23044 = r23041 - r23043;
        float r23045 = r23039 + r23044;
        float r23046 = 4.469502023909925e+153;
        bool r23047 = r23023 <= r23046;
        float r23048 = 3;
        float r23049 = pow(r23028, r23048);
        float r23050 = cbrt(r23049);
        float r23051 = pow(r23011, r23027);
        float r23052 = r23050 - r23051;
        float r23053 = r23047 ? r23036 : r23052;
        float r23054 = r23038 ? r23045 : r23053;
        float r23055 = r23025 ? r23036 : r23054;
        return r23055;
}

double f_od(double x, double n) {
        double r23056 = 1;
        double r23057 = x;
        double r23058 = n;
        double r23059 = r23057 * r23058;
        double r23060 = r23056 / r23059;
        double r23061 = 1/2;
        double r23062 = r23061 / r23057;
        double r23063 = r23062 / r23059;
        double r23064 = r23060 - r23063;
        double r23065 = log(r23057);
        double r23066 = r23058 * r23058;
        double r23067 = r23066 * r23057;
        double r23068 = r23065 / r23067;
        double r23069 = r23064 + r23068;
        double r23070 = -2.7606260239670904e-38;
        bool r23071 = r23069 <= r23070;
        double r23072 = r23056 + r23057;
        double r23073 = r23056 / r23058;
        double r23074 = pow(r23072, r23073);
        double r23075 = r23074 - r23056;
        double r23076 = r23061 / r23058;
        double r23077 = r23065 * r23076;
        double r23078 = r23058 / r23065;
        double r23079 = r23077 / r23078;
        double r23080 = r23075 - r23079;
        double r23081 = r23065 / r23058;
        double r23082 = r23080 - r23081;
        double r23083 = 2.117267172460808e-75;
        bool r23084 = r23069 <= r23083;
        double r23085 = r23073 / r23057;
        double r23086 = r23065 / r23059;
        double r23087 = r23086 / r23058;
        double r23088 = r23057 * r23057;
        double r23089 = r23076 / r23088;
        double r23090 = r23087 - r23089;
        double r23091 = r23085 + r23090;
        double r23092 = 4.469502023909925e+153;
        bool r23093 = r23069 <= r23092;
        double r23094 = 3;
        double r23095 = pow(r23074, r23094);
        double r23096 = cbrt(r23095);
        double r23097 = pow(r23057, r23073);
        double r23098 = r23096 - r23097;
        double r23099 = r23093 ? r23082 : r23098;
        double r23100 = r23084 ? r23091 : r23099;
        double r23101 = r23071 ? r23082 : r23100;
        return r23101;
}

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 r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23102);
        mpfr_init_set_str(r23103, "1", 10, MPFR_RNDN);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
}

double f_im(double x, double n) {
        mpfr_set_d(r23102, x, MPFR_RNDN);
        ;
        mpfr_add(r23104, r23102, r23103, MPFR_RNDN);
        mpfr_set_d(r23105, n, MPFR_RNDN);
        mpfr_div(r23106, r23103, r23105, MPFR_RNDN);
        mpfr_pow(r23107, r23104, r23106, MPFR_RNDN);
        mpfr_pow(r23108, r23102, r23106, MPFR_RNDN);
        mpfr_sub(r23109, r23107, r23108, MPFR_RNDN);
        return mpfr_get_d(r23109, MPFR_RNDN);
}

static mpfr_t r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23110, "1", 10, MPFR_RNDN);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init_set_str(r23115, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init_set_str(r23124, "-2.7606260239670904e-38", 10, MPFR_RNDN);
        mpfr_init(r23125);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
        mpfr_init(r23136);
        mpfr_init_set_str(r23137, "2.117267172460808e-75", 10, MPFR_RNDN);
        mpfr_init(r23138);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init(r23142);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init_set_str(r23146, "4.469502023909925e+153", 10, MPFR_RNDN);
        mpfr_init(r23147);
        mpfr_init_set_str(r23148, "3", 10, MPFR_RNDN);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init(r23155);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r23111, x, MPFR_RNDN);
        mpfr_set_d(r23112, n, MPFR_RNDN);
        mpfr_mul(r23113, r23111, r23112, MPFR_RNDN);
        mpfr_div(r23114, r23110, r23113, MPFR_RNDN);
        ;
        mpfr_div(r23116, r23115, r23111, MPFR_RNDN);
        mpfr_div(r23117, r23116, r23113, MPFR_RNDN);
        mpfr_sub(r23118, r23114, r23117, MPFR_RNDN);
        mpfr_log(r23119, r23111, MPFR_RNDN);
        mpfr_mul(r23120, r23112, r23112, MPFR_RNDN);
        mpfr_mul(r23121, r23120, r23111, MPFR_RNDN);
        mpfr_div(r23122, r23119, r23121, MPFR_RNDN);
        mpfr_add(r23123, r23118, r23122, MPFR_RNDN);
        ;
        mpfr_set_si(r23125, mpfr_cmp(r23123, r23124) <= 0, MPFR_RNDN);
        mpfr_add(r23126, r23110, r23111, MPFR_RNDN);
        mpfr_div(r23127, r23110, r23112, MPFR_RNDN);
        mpfr_pow(r23128, r23126, r23127, MPFR_RNDN);
        mpfr_sub(r23129, r23128, r23110, MPFR_RNDN);
        mpfr_div(r23130, r23115, r23112, MPFR_RNDN);
        mpfr_mul(r23131, r23119, r23130, MPFR_RNDN);
        mpfr_div(r23132, r23112, r23119, MPFR_RNDN);
        mpfr_div(r23133, r23131, r23132, MPFR_RNDN);
        mpfr_sub(r23134, r23129, r23133, MPFR_RNDN);
        mpfr_div(r23135, r23119, r23112, MPFR_RNDN);
        mpfr_sub(r23136, r23134, r23135, MPFR_RNDN);
        ;
        mpfr_set_si(r23138, mpfr_cmp(r23123, r23137) <= 0, MPFR_RNDN);
        mpfr_div(r23139, r23127, r23111, MPFR_RNDN);
        mpfr_div(r23140, r23119, r23113, MPFR_RNDN);
        mpfr_div(r23141, r23140, r23112, MPFR_RNDN);
        mpfr_mul(r23142, r23111, r23111, MPFR_RNDN);
        mpfr_div(r23143, r23130, r23142, MPFR_RNDN);
        mpfr_sub(r23144, r23141, r23143, MPFR_RNDN);
        mpfr_add(r23145, r23139, r23144, MPFR_RNDN);
        ;
        mpfr_set_si(r23147, mpfr_cmp(r23123, r23146) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r23149, r23128, r23148, MPFR_RNDN);
        mpfr_cbrt(r23150, r23149, MPFR_RNDN);
        mpfr_pow(r23151, r23111, r23127, MPFR_RNDN);
        mpfr_sub(r23152, r23150, r23151, MPFR_RNDN);
        if (mpfr_get_si(r23147, MPFR_RNDN)) { mpfr_set(r23153, r23136, MPFR_RNDN); } else { mpfr_set(r23153, r23152, MPFR_RNDN); };
        if (mpfr_get_si(r23138, MPFR_RNDN)) { mpfr_set(r23154, r23145, MPFR_RNDN); } else { mpfr_set(r23154, r23153, MPFR_RNDN); };
        if (mpfr_get_si(r23125, MPFR_RNDN)) { mpfr_set(r23155, r23136, MPFR_RNDN); } else { mpfr_set(r23155, r23154, MPFR_RNDN); };
        return mpfr_get_d(r23155, MPFR_RNDN);
}

static mpfr_t r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23156, "1", 10, MPFR_RNDN);
        mpfr_init(r23157);
        mpfr_init(r23158);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init_set_str(r23161, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init(r23166);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init(r23169);
        mpfr_init_set_str(r23170, "-2.7606260239670904e-38", 10, MPFR_RNDN);
        mpfr_init(r23171);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init(r23178);
        mpfr_init(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init_set_str(r23183, "2.117267172460808e-75", 10, MPFR_RNDN);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init(r23190);
        mpfr_init(r23191);
        mpfr_init_set_str(r23192, "4.469502023909925e+153", 10, MPFR_RNDN);
        mpfr_init(r23193);
        mpfr_init_set_str(r23194, "3", 10, MPFR_RNDN);
        mpfr_init(r23195);
        mpfr_init(r23196);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r23157, x, MPFR_RNDN);
        mpfr_set_d(r23158, n, MPFR_RNDN);
        mpfr_mul(r23159, r23157, r23158, MPFR_RNDN);
        mpfr_div(r23160, r23156, r23159, MPFR_RNDN);
        ;
        mpfr_div(r23162, r23161, r23157, MPFR_RNDN);
        mpfr_div(r23163, r23162, r23159, MPFR_RNDN);
        mpfr_sub(r23164, r23160, r23163, MPFR_RNDN);
        mpfr_log(r23165, r23157, MPFR_RNDN);
        mpfr_mul(r23166, r23158, r23158, MPFR_RNDN);
        mpfr_mul(r23167, r23166, r23157, MPFR_RNDN);
        mpfr_div(r23168, r23165, r23167, MPFR_RNDN);
        mpfr_add(r23169, r23164, r23168, MPFR_RNDN);
        ;
        mpfr_set_si(r23171, mpfr_cmp(r23169, r23170) <= 0, MPFR_RNDN);
        mpfr_add(r23172, r23156, r23157, MPFR_RNDN);
        mpfr_div(r23173, r23156, r23158, MPFR_RNDN);
        mpfr_pow(r23174, r23172, r23173, MPFR_RNDN);
        mpfr_sub(r23175, r23174, r23156, MPFR_RNDN);
        mpfr_div(r23176, r23161, r23158, MPFR_RNDN);
        mpfr_mul(r23177, r23165, r23176, MPFR_RNDN);
        mpfr_div(r23178, r23158, r23165, MPFR_RNDN);
        mpfr_div(r23179, r23177, r23178, MPFR_RNDN);
        mpfr_sub(r23180, r23175, r23179, MPFR_RNDN);
        mpfr_div(r23181, r23165, r23158, MPFR_RNDN);
        mpfr_sub(r23182, r23180, r23181, MPFR_RNDN);
        ;
        mpfr_set_si(r23184, mpfr_cmp(r23169, r23183) <= 0, MPFR_RNDN);
        mpfr_div(r23185, r23173, r23157, MPFR_RNDN);
        mpfr_div(r23186, r23165, r23159, MPFR_RNDN);
        mpfr_div(r23187, r23186, r23158, MPFR_RNDN);
        mpfr_mul(r23188, r23157, r23157, MPFR_RNDN);
        mpfr_div(r23189, r23176, r23188, MPFR_RNDN);
        mpfr_sub(r23190, r23187, r23189, MPFR_RNDN);
        mpfr_add(r23191, r23185, r23190, MPFR_RNDN);
        ;
        mpfr_set_si(r23193, mpfr_cmp(r23169, r23192) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r23195, r23174, r23194, MPFR_RNDN);
        mpfr_cbrt(r23196, r23195, MPFR_RNDN);
        mpfr_pow(r23197, r23157, r23173, MPFR_RNDN);
        mpfr_sub(r23198, r23196, r23197, MPFR_RNDN);
        if (mpfr_get_si(r23193, MPFR_RNDN)) { mpfr_set(r23199, r23182, MPFR_RNDN); } else { mpfr_set(r23199, r23198, MPFR_RNDN); };
        if (mpfr_get_si(r23184, MPFR_RNDN)) { mpfr_set(r23200, r23191, MPFR_RNDN); } else { mpfr_set(r23200, r23199, MPFR_RNDN); };
        if (mpfr_get_si(r23171, MPFR_RNDN)) { mpfr_set(r23201, r23182, MPFR_RNDN); } else { mpfr_set(r23201, r23200, MPFR_RNDN); };
        return mpfr_get_d(r23201, MPFR_RNDN);
}

