#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 r18120 = x;
        float r18121 = 1.0f;
        float r18122 = r18120 + r18121;
        float r18123 = n;
        float r18124 = r18121 / r18123;
        float r18125 = pow(r18122, r18124);
        float r18126 = pow(r18120, r18124);
        float r18127 = r18125 - r18126;
        return r18127;
}

double f_id(double x, double n) {
        double r18128 = x;
        double r18129 = 1.0;
        double r18130 = r18128 + r18129;
        double r18131 = n;
        double r18132 = r18129 / r18131;
        double r18133 = pow(r18130, r18132);
        double r18134 = pow(r18128, r18132);
        double r18135 = r18133 - r18134;
        return r18135;
}


double f_of(float x, float n) {
        float r18136 = n;
        float r18137 = -2.672258838309128e-11f;
        bool r18138 = r18136 <= r18137;
        float r18139 = 1.0f;
        float r18140 = x;
        float r18141 = r18139 / r18140;
        float r18142 = r18141 / r18136;
        float r18143 = 0.5f;
        float r18144 = r18143 / r18136;
        float r18145 = r18140 * r18140;
        float r18146 = r18144 / r18145;
        float r18147 = r18142 - r18146;
        float r18148 = log(r18140);
        float r18149 = r18136 * r18140;
        float r18150 = r18136 * r18149;
        float r18151 = r18148 / r18150;
        float r18152 = r18147 - r18151;
        float r18153 = 19699878403.887928f;
        bool r18154 = r18136 <= r18153;
        float r18155 = r18140 + r18139;
        float r18156 = r18139 / r18136;
        float r18157 = pow(r18155, r18156);
        float r18158 = pow(r18140, r18156);
        float r18159 = r18157 - r18158;
        float r18160 = log(r18159);
        float r18161 = cbrt(r18160);
        float r18162 = r18161 * (r18161 * r18161);
        float r18163 = exp(r18162);
        float r18164 = r18154 ? r18163 : r18152;
        float r18165 = r18138 ? r18152 : r18164;
        return r18165;
}

double f_od(double x, double n) {
        double r18166 = n;
        double r18167 = -2.672258838309128e-11;
        bool r18168 = r18166 <= r18167;
        double r18169 = 1.0;
        double r18170 = x;
        double r18171 = r18169 / r18170;
        double r18172 = r18171 / r18166;
        double r18173 = 0.5;
        double r18174 = r18173 / r18166;
        double r18175 = r18170 * r18170;
        double r18176 = r18174 / r18175;
        double r18177 = r18172 - r18176;
        double r18178 = log(r18170);
        double r18179 = r18166 * r18170;
        double r18180 = r18166 * r18179;
        double r18181 = r18178 / r18180;
        double r18182 = r18177 - r18181;
        double r18183 = 19699878403.887928;
        bool r18184 = r18166 <= r18183;
        double r18185 = r18170 + r18169;
        double r18186 = r18169 / r18166;
        double r18187 = pow(r18185, r18186);
        double r18188 = pow(r18170, r18186);
        double r18189 = r18187 - r18188;
        double r18190 = log(r18189);
        double r18191 = cbrt(r18190);
        double r18192 = r18191 * (r18191 * r18191);
        double r18193 = exp(r18192);
        double r18194 = r18184 ? r18193 : r18182;
        double r18195 = r18168 ? r18182 : r18194;
        return r18195;
}

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 r18196, r18197, r18198, r18199, r18200, r18201, r18202, r18203;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18196);
        mpfr_init_set_str(r18197, "1", 10, MPFR_RNDN);
        mpfr_init(r18198);
        mpfr_init(r18199);
        mpfr_init(r18200);
        mpfr_init(r18201);
        mpfr_init(r18202);
        mpfr_init(r18203);
}

double f_im(double x, double n) {
        mpfr_set_d(r18196, x, MPFR_RNDN);
        ;
        mpfr_add(r18198, r18196, r18197, MPFR_RNDN);
        mpfr_set_d(r18199, n, MPFR_RNDN);
        mpfr_div(r18200, r18197, r18199, MPFR_RNDN);
        mpfr_pow(r18201, r18198, r18200, MPFR_RNDN);
        mpfr_pow(r18202, r18196, r18200, MPFR_RNDN);
        mpfr_sub(r18203, r18201, r18202, MPFR_RNDN);
        return mpfr_get_d(r18203, MPFR_RNDN);
}

static mpfr_t r18204, r18205, r18206, r18207, r18208, r18209, r18210, r18211, r18212, r18213, r18214, r18215, r18216, r18217, r18218, r18219, r18220, r18221, r18222, r18223, r18224, r18225, r18226, r18227, r18228, r18229, r18230, r18231, r18232, r18233;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18204);
        mpfr_init_set_str(r18205, "-2.672258838309128e-11", 10, MPFR_RNDN);
        mpfr_init(r18206);
        mpfr_init_set_str(r18207, "1", 10, MPFR_RNDN);
        mpfr_init(r18208);
        mpfr_init(r18209);
        mpfr_init(r18210);
        mpfr_init_set_str(r18211, "1/2", 10, MPFR_RNDN);
        mpfr_init(r18212);
        mpfr_init(r18213);
        mpfr_init(r18214);
        mpfr_init(r18215);
        mpfr_init(r18216);
        mpfr_init(r18217);
        mpfr_init(r18218);
        mpfr_init(r18219);
        mpfr_init(r18220);
        mpfr_init_set_str(r18221, "19699878403.887928", 10, MPFR_RNDN);
        mpfr_init(r18222);
        mpfr_init(r18223);
        mpfr_init(r18224);
        mpfr_init(r18225);
        mpfr_init(r18226);
        mpfr_init(r18227);
        mpfr_init(r18228);
        mpfr_init(r18229);
        mpfr_init(r18230);
        mpfr_init(r18231);
        mpfr_init(r18232);
        mpfr_init(r18233);
}

double f_fm(double x, double n) {
        mpfr_set_d(r18204, n, MPFR_RNDN);
        ;
        mpfr_set_si(r18206, mpfr_cmp(r18204, r18205) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r18208, x, MPFR_RNDN);
        mpfr_div(r18209, r18207, r18208, MPFR_RNDN);
        mpfr_div(r18210, r18209, r18204, MPFR_RNDN);
        ;
        mpfr_div(r18212, r18211, r18204, MPFR_RNDN);
        mpfr_sqr(r18213, r18208, MPFR_RNDN);
        mpfr_div(r18214, r18212, r18213, MPFR_RNDN);
        mpfr_sub(r18215, r18210, r18214, MPFR_RNDN);
        mpfr_log(r18216, r18208, MPFR_RNDN);
        mpfr_mul(r18217, r18204, r18208, MPFR_RNDN);
        mpfr_mul(r18218, r18204, r18217, MPFR_RNDN);
        mpfr_div(r18219, r18216, r18218, MPFR_RNDN);
        mpfr_sub(r18220, r18215, r18219, MPFR_RNDN);
        ;
        mpfr_set_si(r18222, mpfr_cmp(r18204, r18221) <= 0, MPFR_RNDN);
        mpfr_add(r18223, r18208, r18207, MPFR_RNDN);
        mpfr_div(r18224, r18207, r18204, MPFR_RNDN);
        mpfr_pow(r18225, r18223, r18224, MPFR_RNDN);
        mpfr_pow(r18226, r18208, r18224, MPFR_RNDN);
        mpfr_sub(r18227, r18225, r18226, MPFR_RNDN);
        mpfr_log(r18228, r18227, MPFR_RNDN);
        mpfr_cbrt(r18229, r18228, MPFR_RNDN);
        mpfr_mul(r18230, r18229, r18229, MPFR_RNDN); mpfr_mul(r18230, r18230, r18229, MPFR_RNDN);
        mpfr_exp(r18231, r18230, MPFR_RNDN);
        if (mpfr_get_si(r18222, MPFR_RNDN)) { mpfr_set(r18232, r18231, MPFR_RNDN); } else { mpfr_set(r18232, r18220, MPFR_RNDN); };
        if (mpfr_get_si(r18206, MPFR_RNDN)) { mpfr_set(r18233, r18220, MPFR_RNDN); } else { mpfr_set(r18233, r18232, MPFR_RNDN); };
        return mpfr_get_d(r18233, MPFR_RNDN);
}

static mpfr_t r18234, r18235, r18236, r18237, r18238, r18239, r18240, r18241, r18242, r18243, r18244, r18245, r18246, r18247, r18248, r18249, r18250, r18251, r18252, r18253, r18254, r18255, r18256, r18257, r18258, r18259, r18260, r18261, r18262, r18263;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18234);
        mpfr_init_set_str(r18235, "-2.672258838309128e-11", 10, MPFR_RNDN);
        mpfr_init(r18236);
        mpfr_init_set_str(r18237, "1", 10, MPFR_RNDN);
        mpfr_init(r18238);
        mpfr_init(r18239);
        mpfr_init(r18240);
        mpfr_init_set_str(r18241, "1/2", 10, MPFR_RNDN);
        mpfr_init(r18242);
        mpfr_init(r18243);
        mpfr_init(r18244);
        mpfr_init(r18245);
        mpfr_init(r18246);
        mpfr_init(r18247);
        mpfr_init(r18248);
        mpfr_init(r18249);
        mpfr_init(r18250);
        mpfr_init_set_str(r18251, "19699878403.887928", 10, MPFR_RNDN);
        mpfr_init(r18252);
        mpfr_init(r18253);
        mpfr_init(r18254);
        mpfr_init(r18255);
        mpfr_init(r18256);
        mpfr_init(r18257);
        mpfr_init(r18258);
        mpfr_init(r18259);
        mpfr_init(r18260);
        mpfr_init(r18261);
        mpfr_init(r18262);
        mpfr_init(r18263);
}

double f_dm(double x, double n) {
        mpfr_set_d(r18234, n, MPFR_RNDN);
        ;
        mpfr_set_si(r18236, mpfr_cmp(r18234, r18235) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r18238, x, MPFR_RNDN);
        mpfr_div(r18239, r18237, r18238, MPFR_RNDN);
        mpfr_div(r18240, r18239, r18234, MPFR_RNDN);
        ;
        mpfr_div(r18242, r18241, r18234, MPFR_RNDN);
        mpfr_sqr(r18243, r18238, MPFR_RNDN);
        mpfr_div(r18244, r18242, r18243, MPFR_RNDN);
        mpfr_sub(r18245, r18240, r18244, MPFR_RNDN);
        mpfr_log(r18246, r18238, MPFR_RNDN);
        mpfr_mul(r18247, r18234, r18238, MPFR_RNDN);
        mpfr_mul(r18248, r18234, r18247, MPFR_RNDN);
        mpfr_div(r18249, r18246, r18248, MPFR_RNDN);
        mpfr_sub(r18250, r18245, r18249, MPFR_RNDN);
        ;
        mpfr_set_si(r18252, mpfr_cmp(r18234, r18251) <= 0, MPFR_RNDN);
        mpfr_add(r18253, r18238, r18237, MPFR_RNDN);
        mpfr_div(r18254, r18237, r18234, MPFR_RNDN);
        mpfr_pow(r18255, r18253, r18254, MPFR_RNDN);
        mpfr_pow(r18256, r18238, r18254, MPFR_RNDN);
        mpfr_sub(r18257, r18255, r18256, MPFR_RNDN);
        mpfr_log(r18258, r18257, MPFR_RNDN);
        mpfr_cbrt(r18259, r18258, MPFR_RNDN);
        mpfr_mul(r18260, r18259, r18259, MPFR_RNDN); mpfr_mul(r18260, r18260, r18259, MPFR_RNDN);
        mpfr_exp(r18261, r18260, MPFR_RNDN);
        if (mpfr_get_si(r18252, MPFR_RNDN)) { mpfr_set(r18262, r18261, MPFR_RNDN); } else { mpfr_set(r18262, r18250, MPFR_RNDN); };
        if (mpfr_get_si(r18236, MPFR_RNDN)) { mpfr_set(r18263, r18250, MPFR_RNDN); } else { mpfr_set(r18263, r18262, MPFR_RNDN); };
        return mpfr_get_d(r18263, MPFR_RNDN);
}