#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 r22945 = x;
        float r22946 = 1;
        float r22947 = r22945 + r22946;
        float r22948 = n;
        float r22949 = r22946 / r22948;
        float r22950 = pow(r22947, r22949);
        float r22951 = pow(r22945, r22949);
        float r22952 = r22950 - r22951;
        return r22952;
}

double f_id(double x, double n) {
        double r22953 = x;
        double r22954 = 1;
        double r22955 = r22953 + r22954;
        double r22956 = n;
        double r22957 = r22954 / r22956;
        double r22958 = pow(r22955, r22957);
        double r22959 = pow(r22953, r22957);
        double r22960 = r22958 - r22959;
        return r22960;
}


double f_of(float x, float n) {
        float r22961 = 1/3;
        float r22962 = r22961 + r22961;
        float r22963 = 1;
        float r22964 = n;
        float r22965 = r22963 / r22964;
        float r22966 = x;
        float r22967 = r22965 / r22966;
        float r22968 = log(r22966);
        float r22969 = r22968 / r22964;
        float r22970 = r22967 + r22969;
        float r22971 = pow(r22966, r22965);
        float r22972 = r22963 - r22971;
        float r22973 = r22970 + r22972;
        float r22974 = r22962 * r22973;
        float r22975 = r22966 + r22963;
        float r22976 = pow(r22975, r22965);
        float r22977 = r22976 - r22971;
        float r22978 = exp(r22977);
        float r22979 = cbrt(r22978);
        float r22980 = log(r22979);
        float r22981 = r22974 + r22980;
        float r22982 = -0.0008261050182977736;
        bool r22983 = r22981 <= r22982;
        float r22984 = r22962 * r22977;
        float r22985 = r22963 + r22966;
        float r22986 = pow(r22985, r22965);
        float r22987 = r22986 - r22971;
        float r22988 = exp(r22987);
        float r22989 = sqrt(r22988);
        float r22990 = cbrt(r22989);
        float r22991 = log(r22990);
        float r22992 = r22991 + r22991;
        float r22993 = r22984 + r22992;
        float r22994 = 6.325270227888274e-17;
        bool r22995 = r22981 <= r22994;
        float r22996 = 1/2;
        float r22997 = r22996 / r22964;
        float r22998 = r22966 * r22966;
        float r22999 = r22997 / r22998;
        float r23000 = r22967 - r22999;
        float r23001 = r22964 * r22966;
        float r23002 = r23001 * r22964;
        float r23003 = r22968 / r23002;
        float r23004 = r23000 + r23003;
        float r23005 = exp(r22986);
        float r23006 = cbrt(r23005);
        float r23007 = log(r23006);
        float r23008 = -r22971;
        float r23009 = exp(r23008);
        float r23010 = cbrt(r23009);
        float r23011 = log(r23010);
        float r23012 = r23007 + r23011;
        float r23013 = r22984 + r23012;
        float r23014 = r22995 ? r23004 : r23013;
        float r23015 = r22983 ? r22993 : r23014;
        return r23015;
}

double f_od(double x, double n) {
        double r23016 = 1/3;
        double r23017 = r23016 + r23016;
        double r23018 = 1;
        double r23019 = n;
        double r23020 = r23018 / r23019;
        double r23021 = x;
        double r23022 = r23020 / r23021;
        double r23023 = log(r23021);
        double r23024 = r23023 / r23019;
        double r23025 = r23022 + r23024;
        double r23026 = pow(r23021, r23020);
        double r23027 = r23018 - r23026;
        double r23028 = r23025 + r23027;
        double r23029 = r23017 * r23028;
        double r23030 = r23021 + r23018;
        double r23031 = pow(r23030, r23020);
        double r23032 = r23031 - r23026;
        double r23033 = exp(r23032);
        double r23034 = cbrt(r23033);
        double r23035 = log(r23034);
        double r23036 = r23029 + r23035;
        double r23037 = -0.0008261050182977736;
        bool r23038 = r23036 <= r23037;
        double r23039 = r23017 * r23032;
        double r23040 = r23018 + r23021;
        double r23041 = pow(r23040, r23020);
        double r23042 = r23041 - r23026;
        double r23043 = exp(r23042);
        double r23044 = sqrt(r23043);
        double r23045 = cbrt(r23044);
        double r23046 = log(r23045);
        double r23047 = r23046 + r23046;
        double r23048 = r23039 + r23047;
        double r23049 = 6.325270227888274e-17;
        bool r23050 = r23036 <= r23049;
        double r23051 = 1/2;
        double r23052 = r23051 / r23019;
        double r23053 = r23021 * r23021;
        double r23054 = r23052 / r23053;
        double r23055 = r23022 - r23054;
        double r23056 = r23019 * r23021;
        double r23057 = r23056 * r23019;
        double r23058 = r23023 / r23057;
        double r23059 = r23055 + r23058;
        double r23060 = exp(r23041);
        double r23061 = cbrt(r23060);
        double r23062 = log(r23061);
        double r23063 = -r23026;
        double r23064 = exp(r23063);
        double r23065 = cbrt(r23064);
        double r23066 = log(r23065);
        double r23067 = r23062 + r23066;
        double r23068 = r23039 + r23067;
        double r23069 = r23050 ? r23059 : r23068;
        double r23070 = r23038 ? r23048 : r23069;
        return r23070;
}

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 r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23071);
        mpfr_init_set_str(r23072, "1", 10, MPFR_RNDN);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init(r23075);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
}

double f_im(double x, double n) {
        mpfr_set_d(r23071, x, MPFR_RNDN);
        ;
        mpfr_add(r23073, r23071, r23072, MPFR_RNDN);
        mpfr_set_d(r23074, n, MPFR_RNDN);
        mpfr_div(r23075, r23072, r23074, MPFR_RNDN);
        mpfr_pow(r23076, r23073, r23075, MPFR_RNDN);
        mpfr_pow(r23077, r23071, r23075, MPFR_RNDN);
        mpfr_sub(r23078, r23076, r23077, MPFR_RNDN);
        return mpfr_get_d(r23078, MPFR_RNDN);
}

static mpfr_t r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23079, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23080);
        mpfr_init_set_str(r23081, "1", 10, MPFR_RNDN);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        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(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init_set_str(r23100, "-0.0008261050182977736", 10, MPFR_RNDN);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init(r23103);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init_set_str(r23112, "6.325270227888274e-17", 10, MPFR_RNDN);
        mpfr_init(r23113);
        mpfr_init_set_str(r23114, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23115);
        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(r23124);
        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);
}

double f_fm(double x, double n) {
        ;
        mpfr_add(r23080, r23079, r23079, MPFR_RNDN);
        ;
        mpfr_set_d(r23082, n, MPFR_RNDN);
        mpfr_div(r23083, r23081, r23082, MPFR_RNDN);
        mpfr_set_d(r23084, x, MPFR_RNDN);
        mpfr_div(r23085, r23083, r23084, MPFR_RNDN);
        mpfr_log(r23086, r23084, MPFR_RNDN);
        mpfr_div(r23087, r23086, r23082, MPFR_RNDN);
        mpfr_add(r23088, r23085, r23087, MPFR_RNDN);
        mpfr_pow(r23089, r23084, r23083, MPFR_RNDN);
        mpfr_sub(r23090, r23081, r23089, MPFR_RNDN);
        mpfr_add(r23091, r23088, r23090, MPFR_RNDN);
        mpfr_mul(r23092, r23080, r23091, MPFR_RNDN);
        mpfr_add(r23093, r23084, r23081, MPFR_RNDN);
        mpfr_pow(r23094, r23093, r23083, MPFR_RNDN);
        mpfr_sub(r23095, r23094, r23089, MPFR_RNDN);
        mpfr_exp(r23096, r23095, MPFR_RNDN);
        mpfr_cbrt(r23097, r23096, MPFR_RNDN);
        mpfr_log(r23098, r23097, MPFR_RNDN);
        mpfr_add(r23099, r23092, r23098, MPFR_RNDN);
        ;
        mpfr_set_si(r23101, mpfr_cmp(r23099, r23100) <= 0, MPFR_RNDN);
        mpfr_mul(r23102, r23080, r23095, MPFR_RNDN);
        mpfr_add(r23103, r23081, r23084, MPFR_RNDN);
        mpfr_pow(r23104, r23103, r23083, MPFR_RNDN);
        mpfr_sub(r23105, r23104, r23089, MPFR_RNDN);
        mpfr_exp(r23106, r23105, MPFR_RNDN);
        mpfr_sqrt(r23107, r23106, MPFR_RNDN);
        mpfr_cbrt(r23108, r23107, MPFR_RNDN);
        mpfr_log(r23109, r23108, MPFR_RNDN);
        mpfr_add(r23110, r23109, r23109, MPFR_RNDN);
        mpfr_add(r23111, r23102, r23110, MPFR_RNDN);
        ;
        mpfr_set_si(r23113, mpfr_cmp(r23099, r23112) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r23115, r23114, r23082, MPFR_RNDN);
        mpfr_mul(r23116, r23084, r23084, MPFR_RNDN);
        mpfr_div(r23117, r23115, r23116, MPFR_RNDN);
        mpfr_sub(r23118, r23085, r23117, MPFR_RNDN);
        mpfr_mul(r23119, r23082, r23084, MPFR_RNDN);
        mpfr_mul(r23120, r23119, r23082, MPFR_RNDN);
        mpfr_div(r23121, r23086, r23120, MPFR_RNDN);
        mpfr_add(r23122, r23118, r23121, MPFR_RNDN);
        mpfr_exp(r23123, r23104, MPFR_RNDN);
        mpfr_cbrt(r23124, r23123, MPFR_RNDN);
        mpfr_log(r23125, r23124, MPFR_RNDN);
        mpfr_neg(r23126, r23089, MPFR_RNDN);
        mpfr_exp(r23127, r23126, MPFR_RNDN);
        mpfr_cbrt(r23128, r23127, MPFR_RNDN);
        mpfr_log(r23129, r23128, MPFR_RNDN);
        mpfr_add(r23130, r23125, r23129, MPFR_RNDN);
        mpfr_add(r23131, r23102, r23130, MPFR_RNDN);
        if (mpfr_get_si(r23113, MPFR_RNDN)) { mpfr_set(r23132, r23122, MPFR_RNDN); } else { mpfr_set(r23132, r23131, MPFR_RNDN); };
        if (mpfr_get_si(r23101, MPFR_RNDN)) { mpfr_set(r23133, r23111, MPFR_RNDN); } else { mpfr_set(r23133, r23132, MPFR_RNDN); };
        return mpfr_get_d(r23133, MPFR_RNDN);
}

static mpfr_t r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23134, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23135);
        mpfr_init_set_str(r23136, "1", 10, MPFR_RNDN);
        mpfr_init(r23137);
        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(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init_set_str(r23155, "-0.0008261050182977736", 10, MPFR_RNDN);
        mpfr_init(r23156);
        mpfr_init(r23157);
        mpfr_init(r23158);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init(r23166);
        mpfr_init_set_str(r23167, "6.325270227888274e-17", 10, MPFR_RNDN);
        mpfr_init(r23168);
        mpfr_init_set_str(r23169, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23170);
        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(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
        mpfr_init(r23187);
        mpfr_init(r23188);
}

double f_dm(double x, double n) {
        ;
        mpfr_add(r23135, r23134, r23134, MPFR_RNDN);
        ;
        mpfr_set_d(r23137, n, MPFR_RNDN);
        mpfr_div(r23138, r23136, r23137, MPFR_RNDN);
        mpfr_set_d(r23139, x, MPFR_RNDN);
        mpfr_div(r23140, r23138, r23139, MPFR_RNDN);
        mpfr_log(r23141, r23139, MPFR_RNDN);
        mpfr_div(r23142, r23141, r23137, MPFR_RNDN);
        mpfr_add(r23143, r23140, r23142, MPFR_RNDN);
        mpfr_pow(r23144, r23139, r23138, MPFR_RNDN);
        mpfr_sub(r23145, r23136, r23144, MPFR_RNDN);
        mpfr_add(r23146, r23143, r23145, MPFR_RNDN);
        mpfr_mul(r23147, r23135, r23146, MPFR_RNDN);
        mpfr_add(r23148, r23139, r23136, MPFR_RNDN);
        mpfr_pow(r23149, r23148, r23138, MPFR_RNDN);
        mpfr_sub(r23150, r23149, r23144, MPFR_RNDN);
        mpfr_exp(r23151, r23150, MPFR_RNDN);
        mpfr_cbrt(r23152, r23151, MPFR_RNDN);
        mpfr_log(r23153, r23152, MPFR_RNDN);
        mpfr_add(r23154, r23147, r23153, MPFR_RNDN);
        ;
        mpfr_set_si(r23156, mpfr_cmp(r23154, r23155) <= 0, MPFR_RNDN);
        mpfr_mul(r23157, r23135, r23150, MPFR_RNDN);
        mpfr_add(r23158, r23136, r23139, MPFR_RNDN);
        mpfr_pow(r23159, r23158, r23138, MPFR_RNDN);
        mpfr_sub(r23160, r23159, r23144, MPFR_RNDN);
        mpfr_exp(r23161, r23160, MPFR_RNDN);
        mpfr_sqrt(r23162, r23161, MPFR_RNDN);
        mpfr_cbrt(r23163, r23162, MPFR_RNDN);
        mpfr_log(r23164, r23163, MPFR_RNDN);
        mpfr_add(r23165, r23164, r23164, MPFR_RNDN);
        mpfr_add(r23166, r23157, r23165, MPFR_RNDN);
        ;
        mpfr_set_si(r23168, mpfr_cmp(r23154, r23167) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r23170, r23169, r23137, MPFR_RNDN);
        mpfr_mul(r23171, r23139, r23139, MPFR_RNDN);
        mpfr_div(r23172, r23170, r23171, MPFR_RNDN);
        mpfr_sub(r23173, r23140, r23172, MPFR_RNDN);
        mpfr_mul(r23174, r23137, r23139, MPFR_RNDN);
        mpfr_mul(r23175, r23174, r23137, MPFR_RNDN);
        mpfr_div(r23176, r23141, r23175, MPFR_RNDN);
        mpfr_add(r23177, r23173, r23176, MPFR_RNDN);
        mpfr_exp(r23178, r23159, MPFR_RNDN);
        mpfr_cbrt(r23179, r23178, MPFR_RNDN);
        mpfr_log(r23180, r23179, MPFR_RNDN);
        mpfr_neg(r23181, r23144, MPFR_RNDN);
        mpfr_exp(r23182, r23181, MPFR_RNDN);
        mpfr_cbrt(r23183, r23182, MPFR_RNDN);
        mpfr_log(r23184, r23183, MPFR_RNDN);
        mpfr_add(r23185, r23180, r23184, MPFR_RNDN);
        mpfr_add(r23186, r23157, r23185, MPFR_RNDN);
        if (mpfr_get_si(r23168, MPFR_RNDN)) { mpfr_set(r23187, r23177, MPFR_RNDN); } else { mpfr_set(r23187, r23186, MPFR_RNDN); };
        if (mpfr_get_si(r23156, MPFR_RNDN)) { mpfr_set(r23188, r23166, MPFR_RNDN); } else { mpfr_set(r23188, r23187, MPFR_RNDN); };
        return mpfr_get_d(r23188, MPFR_RNDN);
}