#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 r23038 = x;
        float r23039 = 1;
        float r23040 = r23038 + r23039;
        float r23041 = n;
        float r23042 = r23039 / r23041;
        float r23043 = pow(r23040, r23042);
        float r23044 = pow(r23038, r23042);
        float r23045 = r23043 - r23044;
        return r23045;
}

double f_id(double x, double n) {
        double r23046 = x;
        double r23047 = 1;
        double r23048 = r23046 + r23047;
        double r23049 = n;
        double r23050 = r23047 / r23049;
        double r23051 = pow(r23048, r23050);
        double r23052 = pow(r23046, r23050);
        double r23053 = r23051 - r23052;
        return r23053;
}


double f_of(float x, float n) {
        float r23054 = x;
        float r23055 = log1p(r23054);
        float r23056 = n;
        float r23057 = r23055 / r23056;
        float r23058 = expm1(r23057);
        float r23059 = 1/2;
        float r23060 = r23059 / r23056;
        float r23061 = r23060 / r23056;
        float r23062 = log(r23054);
        float r23063 = r23062 * r23062;
        float r23064 = r23062 / r23056;
        float r23065 = fma(r23061, r23063, r23064);
        float r23066 = r23058 - r23065;
        float r23067 = cbrt(r23066);
        float r23068 = -0.012799905251058973;
        bool r23069 = r23067 <= r23068;
        float r23070 = exp(r23057);
        float r23071 = 1;
        float r23072 = r23071 / r23056;
        float r23073 = pow(r23054, r23072);
        float r23074 = r23070 - r23073;
        float r23075 = -1.0920897872381241e-100;
        bool r23076 = r23067 <= r23075;
        float r23077 = 2.8809882173810638e-98;
        bool r23078 = r23067 <= r23077;
        float r23079 = r23056 * r23056;
        float r23080 = r23062 / r23079;
        float r23081 = r23080 / r23054;
        float r23082 = r23054 * r23054;
        float r23083 = r23060 / r23082;
        float r23084 = r23054 * r23056;
        float r23085 = r23071 / r23084;
        float r23086 = r23083 - r23085;
        float r23087 = r23081 - r23086;
        float r23088 = r23078 ? r23087 : r23066;
        float r23089 = r23076 ? r23066 : r23088;
        float r23090 = r23069 ? r23074 : r23089;
        return r23090;
}

double f_od(double x, double n) {
        double r23091 = x;
        double r23092 = log1p(r23091);
        double r23093 = n;
        double r23094 = r23092 / r23093;
        double r23095 = expm1(r23094);
        double r23096 = 1/2;
        double r23097 = r23096 / r23093;
        double r23098 = r23097 / r23093;
        double r23099 = log(r23091);
        double r23100 = r23099 * r23099;
        double r23101 = r23099 / r23093;
        double r23102 = fma(r23098, r23100, r23101);
        double r23103 = r23095 - r23102;
        double r23104 = cbrt(r23103);
        double r23105 = -0.012799905251058973;
        bool r23106 = r23104 <= r23105;
        double r23107 = exp(r23094);
        double r23108 = 1;
        double r23109 = r23108 / r23093;
        double r23110 = pow(r23091, r23109);
        double r23111 = r23107 - r23110;
        double r23112 = -1.0920897872381241e-100;
        bool r23113 = r23104 <= r23112;
        double r23114 = 2.8809882173810638e-98;
        bool r23115 = r23104 <= r23114;
        double r23116 = r23093 * r23093;
        double r23117 = r23099 / r23116;
        double r23118 = r23117 / r23091;
        double r23119 = r23091 * r23091;
        double r23120 = r23097 / r23119;
        double r23121 = r23091 * r23093;
        double r23122 = r23108 / r23121;
        double r23123 = r23120 - r23122;
        double r23124 = r23118 - r23123;
        double r23125 = r23115 ? r23124 : r23103;
        double r23126 = r23113 ? r23103 : r23125;
        double r23127 = r23106 ? r23111 : r23126;
        return r23127;
}

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 r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23128);
        mpfr_init_set_str(r23129, "1", 10, MPFR_RNDN);
        mpfr_init(r23130);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
}

double f_im(double x, double n) {
        mpfr_set_d(r23128, x, MPFR_RNDN);
        ;
        mpfr_add(r23130, r23128, r23129, MPFR_RNDN);
        mpfr_set_d(r23131, n, MPFR_RNDN);
        mpfr_div(r23132, r23129, r23131, MPFR_RNDN);
        mpfr_pow(r23133, r23130, r23132, MPFR_RNDN);
        mpfr_pow(r23134, r23128, r23132, MPFR_RNDN);
        mpfr_sub(r23135, r23133, r23134, MPFR_RNDN);
        return mpfr_get_d(r23135, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init(r23138);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init_set_str(r23141, "1/2", 10, MPFR_RNDN);
        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_set_str(r23150, "-0.012799905251058973", 10, MPFR_RNDN);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init_set_str(r23153, "1", 10, MPFR_RNDN);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init_set_str(r23157, "-1.0920897872381241e-100", 10, MPFR_RNDN);
        mpfr_init(r23158);
        mpfr_init_set_str(r23159, "2.8809882173810638e-98", 10, MPFR_RNDN);
        mpfr_init(r23160);
        mpfr_init(r23161);
        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(r23170);
        mpfr_init(r23171);
        mpfr_init(r23172);
}

double f_fm(double x, double n) {
        mpfr_set_d(r23136, x, MPFR_RNDN);
        mpfr_log1p(r23137, r23136, MPFR_RNDN);
        mpfr_set_d(r23138, n, MPFR_RNDN);
        mpfr_div(r23139, r23137, r23138, MPFR_RNDN);
        mpfr_expm1(r23140, r23139, MPFR_RNDN);
        ;
        mpfr_div(r23142, r23141, r23138, MPFR_RNDN);
        mpfr_div(r23143, r23142, r23138, MPFR_RNDN);
        mpfr_log(r23144, r23136, MPFR_RNDN);
        mpfr_mul(r23145, r23144, r23144, MPFR_RNDN);
        mpfr_div(r23146, r23144, r23138, MPFR_RNDN);
        mpfr_fma(r23147, r23143, r23145, r23146, MPFR_RNDN);
        mpfr_sub(r23148, r23140, r23147, MPFR_RNDN);
        mpfr_cbrt(r23149, r23148, MPFR_RNDN);
        ;
        mpfr_set_si(r23151, mpfr_cmp(r23149, r23150) <= 0, MPFR_RNDN);
        mpfr_exp(r23152, r23139, MPFR_RNDN);
        ;
        mpfr_div(r23154, r23153, r23138, MPFR_RNDN);
        mpfr_pow(r23155, r23136, r23154, MPFR_RNDN);
        mpfr_sub(r23156, r23152, r23155, MPFR_RNDN);
        ;
        mpfr_set_si(r23158, mpfr_cmp(r23149, r23157) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23160, mpfr_cmp(r23149, r23159) <= 0, MPFR_RNDN);
        mpfr_mul(r23161, r23138, r23138, MPFR_RNDN);
        mpfr_div(r23162, r23144, r23161, MPFR_RNDN);
        mpfr_div(r23163, r23162, r23136, MPFR_RNDN);
        mpfr_mul(r23164, r23136, r23136, MPFR_RNDN);
        mpfr_div(r23165, r23142, r23164, MPFR_RNDN);
        mpfr_mul(r23166, r23136, r23138, MPFR_RNDN);
        mpfr_div(r23167, r23153, r23166, MPFR_RNDN);
        mpfr_sub(r23168, r23165, r23167, MPFR_RNDN);
        mpfr_sub(r23169, r23163, r23168, MPFR_RNDN);
        if (mpfr_get_si(r23160, MPFR_RNDN)) { mpfr_set(r23170, r23169, MPFR_RNDN); } else { mpfr_set(r23170, r23148, MPFR_RNDN); };
        if (mpfr_get_si(r23158, MPFR_RNDN)) { mpfr_set(r23171, r23148, MPFR_RNDN); } else { mpfr_set(r23171, r23170, MPFR_RNDN); };
        if (mpfr_get_si(r23151, MPFR_RNDN)) { mpfr_set(r23172, r23156, MPFR_RNDN); } else { mpfr_set(r23172, r23171, MPFR_RNDN); };
        return mpfr_get_d(r23172, MPFR_RNDN);
}

static mpfr_t 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, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init_set_str(r23178, "1/2", 10, MPFR_RNDN);
        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_set_str(r23187, "-0.012799905251058973", 10, MPFR_RNDN);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init_set_str(r23190, "1", 10, MPFR_RNDN);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init_set_str(r23194, "-1.0920897872381241e-100", 10, MPFR_RNDN);
        mpfr_init(r23195);
        mpfr_init_set_str(r23196, "2.8809882173810638e-98", 10, MPFR_RNDN);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init(r23203);
        mpfr_init(r23204);
        mpfr_init(r23205);
        mpfr_init(r23206);
        mpfr_init(r23207);
        mpfr_init(r23208);
        mpfr_init(r23209);
}

double f_dm(double x, double n) {
        mpfr_set_d(r23173, x, MPFR_RNDN);
        mpfr_log1p(r23174, r23173, MPFR_RNDN);
        mpfr_set_d(r23175, n, MPFR_RNDN);
        mpfr_div(r23176, r23174, r23175, MPFR_RNDN);
        mpfr_expm1(r23177, r23176, MPFR_RNDN);
        ;
        mpfr_div(r23179, r23178, r23175, MPFR_RNDN);
        mpfr_div(r23180, r23179, r23175, MPFR_RNDN);
        mpfr_log(r23181, r23173, MPFR_RNDN);
        mpfr_mul(r23182, r23181, r23181, MPFR_RNDN);
        mpfr_div(r23183, r23181, r23175, MPFR_RNDN);
        mpfr_fma(r23184, r23180, r23182, r23183, MPFR_RNDN);
        mpfr_sub(r23185, r23177, r23184, MPFR_RNDN);
        mpfr_cbrt(r23186, r23185, MPFR_RNDN);
        ;
        mpfr_set_si(r23188, mpfr_cmp(r23186, r23187) <= 0, MPFR_RNDN);
        mpfr_exp(r23189, r23176, MPFR_RNDN);
        ;
        mpfr_div(r23191, r23190, r23175, MPFR_RNDN);
        mpfr_pow(r23192, r23173, r23191, MPFR_RNDN);
        mpfr_sub(r23193, r23189, r23192, MPFR_RNDN);
        ;
        mpfr_set_si(r23195, mpfr_cmp(r23186, r23194) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23197, mpfr_cmp(r23186, r23196) <= 0, MPFR_RNDN);
        mpfr_mul(r23198, r23175, r23175, MPFR_RNDN);
        mpfr_div(r23199, r23181, r23198, MPFR_RNDN);
        mpfr_div(r23200, r23199, r23173, MPFR_RNDN);
        mpfr_mul(r23201, r23173, r23173, MPFR_RNDN);
        mpfr_div(r23202, r23179, r23201, MPFR_RNDN);
        mpfr_mul(r23203, r23173, r23175, MPFR_RNDN);
        mpfr_div(r23204, r23190, r23203, MPFR_RNDN);
        mpfr_sub(r23205, r23202, r23204, MPFR_RNDN);
        mpfr_sub(r23206, r23200, r23205, MPFR_RNDN);
        if (mpfr_get_si(r23197, MPFR_RNDN)) { mpfr_set(r23207, r23206, MPFR_RNDN); } else { mpfr_set(r23207, r23185, MPFR_RNDN); };
        if (mpfr_get_si(r23195, MPFR_RNDN)) { mpfr_set(r23208, r23185, MPFR_RNDN); } else { mpfr_set(r23208, r23207, MPFR_RNDN); };
        if (mpfr_get_si(r23188, MPFR_RNDN)) { mpfr_set(r23209, r23193, MPFR_RNDN); } else { mpfr_set(r23209, r23208, MPFR_RNDN); };
        return mpfr_get_d(r23209, MPFR_RNDN);
}