#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 r21118 = x;
        float r21119 = 1;
        float r21120 = r21118 + r21119;
        float r21121 = n;
        float r21122 = r21119 / r21121;
        float r21123 = pow(r21120, r21122);
        float r21124 = pow(r21118, r21122);
        float r21125 = r21123 - r21124;
        return r21125;
}

double f_id(double x, double n) {
        double r21126 = x;
        double r21127 = 1;
        double r21128 = r21126 + r21127;
        double r21129 = n;
        double r21130 = r21127 / r21129;
        double r21131 = pow(r21128, r21130);
        double r21132 = pow(r21126, r21130);
        double r21133 = r21131 - r21132;
        return r21133;
}


double f_of(float x, float n) {
        float r21134 = 1;
        float r21135 = n;
        float r21136 = r21134 / r21135;
        float r21137 = -3.6227047746916703e-09;
        bool r21138 = r21136 <= r21137;
        float r21139 = x;
        float r21140 = log1p(r21139);
        float r21141 = r21140 / r21135;
        float r21142 = exp(r21141);
        float r21143 = pow(r21139, r21136);
        float r21144 = r21142 - r21143;
        float r21145 = 2.6051594709856815e-19;
        bool r21146 = r21136 <= r21145;
        float r21147 = r21139 * r21135;
        float r21148 = r21134 / r21147;
        float r21149 = 1/2;
        float r21150 = r21149 / r21139;
        float r21151 = r21150 / r21147;
        float r21152 = r21148 - r21151;
        float r21153 = log(r21139);
        float r21154 = r21135 * r21135;
        float r21155 = r21153 / r21154;
        float r21156 = r21155 / r21139;
        float r21157 = r21152 - r21156;
        float r21158 = r21146 ? r21157 : r21144;
        float r21159 = r21138 ? r21144 : r21158;
        return r21159;
}

double f_od(double x, double n) {
        double r21160 = 1;
        double r21161 = n;
        double r21162 = r21160 / r21161;
        double r21163 = -3.6227047746916703e-09;
        bool r21164 = r21162 <= r21163;
        double r21165 = x;
        double r21166 = log1p(r21165);
        double r21167 = r21166 / r21161;
        double r21168 = exp(r21167);
        double r21169 = pow(r21165, r21162);
        double r21170 = r21168 - r21169;
        double r21171 = 2.6051594709856815e-19;
        bool r21172 = r21162 <= r21171;
        double r21173 = r21165 * r21161;
        double r21174 = r21160 / r21173;
        double r21175 = 1/2;
        double r21176 = r21175 / r21165;
        double r21177 = r21176 / r21173;
        double r21178 = r21174 - r21177;
        double r21179 = log(r21165);
        double r21180 = r21161 * r21161;
        double r21181 = r21179 / r21180;
        double r21182 = r21181 / r21165;
        double r21183 = r21178 - r21182;
        double r21184 = r21172 ? r21183 : r21170;
        double r21185 = r21164 ? r21170 : r21184;
        return r21185;
}

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 r21186, r21187, r21188, r21189, r21190, r21191, r21192, r21193;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21186);
        mpfr_init_set_str(r21187, "1", 10, MPFR_RNDN);
        mpfr_init(r21188);
        mpfr_init(r21189);
        mpfr_init(r21190);
        mpfr_init(r21191);
        mpfr_init(r21192);
        mpfr_init(r21193);
}

double f_im(double x, double n) {
        mpfr_set_d(r21186, x, MPFR_RNDN);
        ;
        mpfr_add(r21188, r21186, r21187, MPFR_RNDN);
        mpfr_set_d(r21189, n, MPFR_RNDN);
        mpfr_div(r21190, r21187, r21189, MPFR_RNDN);
        mpfr_pow(r21191, r21188, r21190, MPFR_RNDN);
        mpfr_pow(r21192, r21186, r21190, MPFR_RNDN);
        mpfr_sub(r21193, r21191, r21192, MPFR_RNDN);
        return mpfr_get_d(r21193, MPFR_RNDN);
}

static mpfr_t r21194, r21195, r21196, r21197, r21198, r21199, r21200, r21201, r21202, r21203, r21204, r21205, r21206, r21207, r21208, r21209, r21210, r21211, r21212, r21213, r21214, r21215, r21216, r21217, r21218, r21219;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21194, "1", 10, MPFR_RNDN);
        mpfr_init(r21195);
        mpfr_init(r21196);
        mpfr_init_set_str(r21197, "-3.6227047746916703e-09", 10, MPFR_RNDN);
        mpfr_init(r21198);
        mpfr_init(r21199);
        mpfr_init(r21200);
        mpfr_init(r21201);
        mpfr_init(r21202);
        mpfr_init(r21203);
        mpfr_init(r21204);
        mpfr_init_set_str(r21205, "2.6051594709856815e-19", 10, MPFR_RNDN);
        mpfr_init(r21206);
        mpfr_init(r21207);
        mpfr_init(r21208);
        mpfr_init_set_str(r21209, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21210);
        mpfr_init(r21211);
        mpfr_init(r21212);
        mpfr_init(r21213);
        mpfr_init(r21214);
        mpfr_init(r21215);
        mpfr_init(r21216);
        mpfr_init(r21217);
        mpfr_init(r21218);
        mpfr_init(r21219);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r21195, n, MPFR_RNDN);
        mpfr_div(r21196, r21194, r21195, MPFR_RNDN);
        ;
        mpfr_set_si(r21198, mpfr_cmp(r21196, r21197) <= 0, MPFR_RNDN);
        mpfr_set_d(r21199, x, MPFR_RNDN);
        mpfr_log1p(r21200, r21199, MPFR_RNDN);
        mpfr_div(r21201, r21200, r21195, MPFR_RNDN);
        mpfr_exp(r21202, r21201, MPFR_RNDN);
        mpfr_pow(r21203, r21199, r21196, MPFR_RNDN);
        mpfr_sub(r21204, r21202, r21203, MPFR_RNDN);
        ;
        mpfr_set_si(r21206, mpfr_cmp(r21196, r21205) <= 0, MPFR_RNDN);
        mpfr_mul(r21207, r21199, r21195, MPFR_RNDN);
        mpfr_div(r21208, r21194, r21207, MPFR_RNDN);
        ;
        mpfr_div(r21210, r21209, r21199, MPFR_RNDN);
        mpfr_div(r21211, r21210, r21207, MPFR_RNDN);
        mpfr_sub(r21212, r21208, r21211, MPFR_RNDN);
        mpfr_log(r21213, r21199, MPFR_RNDN);
        mpfr_mul(r21214, r21195, r21195, MPFR_RNDN);
        mpfr_div(r21215, r21213, r21214, MPFR_RNDN);
        mpfr_div(r21216, r21215, r21199, MPFR_RNDN);
        mpfr_sub(r21217, r21212, r21216, MPFR_RNDN);
        if (mpfr_get_si(r21206, MPFR_RNDN)) { mpfr_set(r21218, r21217, MPFR_RNDN); } else { mpfr_set(r21218, r21204, MPFR_RNDN); };
        if (mpfr_get_si(r21198, MPFR_RNDN)) { mpfr_set(r21219, r21204, MPFR_RNDN); } else { mpfr_set(r21219, r21218, MPFR_RNDN); };
        return mpfr_get_d(r21219, MPFR_RNDN);
}

static mpfr_t r21220, r21221, r21222, r21223, r21224, r21225, r21226, r21227, r21228, r21229, r21230, r21231, r21232, r21233, r21234, r21235, r21236, r21237, r21238, r21239, r21240, r21241, r21242, r21243, r21244, r21245;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21220, "1", 10, MPFR_RNDN);
        mpfr_init(r21221);
        mpfr_init(r21222);
        mpfr_init_set_str(r21223, "-3.6227047746916703e-09", 10, MPFR_RNDN);
        mpfr_init(r21224);
        mpfr_init(r21225);
        mpfr_init(r21226);
        mpfr_init(r21227);
        mpfr_init(r21228);
        mpfr_init(r21229);
        mpfr_init(r21230);
        mpfr_init_set_str(r21231, "2.6051594709856815e-19", 10, MPFR_RNDN);
        mpfr_init(r21232);
        mpfr_init(r21233);
        mpfr_init(r21234);
        mpfr_init_set_str(r21235, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21236);
        mpfr_init(r21237);
        mpfr_init(r21238);
        mpfr_init(r21239);
        mpfr_init(r21240);
        mpfr_init(r21241);
        mpfr_init(r21242);
        mpfr_init(r21243);
        mpfr_init(r21244);
        mpfr_init(r21245);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r21221, n, MPFR_RNDN);
        mpfr_div(r21222, r21220, r21221, MPFR_RNDN);
        ;
        mpfr_set_si(r21224, mpfr_cmp(r21222, r21223) <= 0, MPFR_RNDN);
        mpfr_set_d(r21225, x, MPFR_RNDN);
        mpfr_log1p(r21226, r21225, MPFR_RNDN);
        mpfr_div(r21227, r21226, r21221, MPFR_RNDN);
        mpfr_exp(r21228, r21227, MPFR_RNDN);
        mpfr_pow(r21229, r21225, r21222, MPFR_RNDN);
        mpfr_sub(r21230, r21228, r21229, MPFR_RNDN);
        ;
        mpfr_set_si(r21232, mpfr_cmp(r21222, r21231) <= 0, MPFR_RNDN);
        mpfr_mul(r21233, r21225, r21221, MPFR_RNDN);
        mpfr_div(r21234, r21220, r21233, MPFR_RNDN);
        ;
        mpfr_div(r21236, r21235, r21225, MPFR_RNDN);
        mpfr_div(r21237, r21236, r21233, MPFR_RNDN);
        mpfr_sub(r21238, r21234, r21237, MPFR_RNDN);
        mpfr_log(r21239, r21225, MPFR_RNDN);
        mpfr_mul(r21240, r21221, r21221, MPFR_RNDN);
        mpfr_div(r21241, r21239, r21240, MPFR_RNDN);
        mpfr_div(r21242, r21241, r21225, MPFR_RNDN);
        mpfr_sub(r21243, r21238, r21242, MPFR_RNDN);
        if (mpfr_get_si(r21232, MPFR_RNDN)) { mpfr_set(r21244, r21243, MPFR_RNDN); } else { mpfr_set(r21244, r21230, MPFR_RNDN); };
        if (mpfr_get_si(r21224, MPFR_RNDN)) { mpfr_set(r21245, r21230, MPFR_RNDN); } else { mpfr_set(r21245, r21244, MPFR_RNDN); };
        return mpfr_get_d(r21245, MPFR_RNDN);
}