#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 r20097 = x;
        float r20098 = 1;
        float r20099 = r20097 + r20098;
        float r20100 = n;
        float r20101 = r20098 / r20100;
        float r20102 = pow(r20099, r20101);
        float r20103 = pow(r20097, r20101);
        float r20104 = r20102 - r20103;
        return r20104;
}

double f_id(double x, double n) {
        double r20105 = x;
        double r20106 = 1;
        double r20107 = r20105 + r20106;
        double r20108 = n;
        double r20109 = r20106 / r20108;
        double r20110 = pow(r20107, r20109);
        double r20111 = pow(r20105, r20109);
        double r20112 = r20110 - r20111;
        return r20112;
}


double f_of(float x, float n) {
        float r20113 = n;
        float r20114 = -16217293.129781114;
        bool r20115 = r20113 <= r20114;
        float r20116 = 1;
        float r20117 = x;
        float r20118 = r20117 * r20113;
        float r20119 = r20116 / r20118;
        float r20120 = 1/2;
        float r20121 = r20120 / r20117;
        float r20122 = r20121 / r20118;
        float r20123 = r20119 - r20122;
        float r20124 = log(r20117);
        float r20125 = r20124 / r20113;
        float r20126 = r20125 / r20118;
        float r20127 = r20123 - r20126;
        float r20128 = 698268857478.727;
        bool r20129 = r20113 <= r20128;
        float r20130 = r20116 + r20117;
        float r20131 = r20116 / r20113;
        float r20132 = pow(r20130, r20131);
        float r20133 = pow(r20117, r20131);
        float r20134 = r20132 - r20133;
        float r20135 = 3;
        float r20136 = pow(r20134, r20135);
        float r20137 = cbrt(r20136);
        float r20138 = r20129 ? r20137 : r20127;
        float r20139 = r20115 ? r20127 : r20138;
        return r20139;
}

double f_od(double x, double n) {
        double r20140 = n;
        double r20141 = -16217293.129781114;
        bool r20142 = r20140 <= r20141;
        double r20143 = 1;
        double r20144 = x;
        double r20145 = r20144 * r20140;
        double r20146 = r20143 / r20145;
        double r20147 = 1/2;
        double r20148 = r20147 / r20144;
        double r20149 = r20148 / r20145;
        double r20150 = r20146 - r20149;
        double r20151 = log(r20144);
        double r20152 = r20151 / r20140;
        double r20153 = r20152 / r20145;
        double r20154 = r20150 - r20153;
        double r20155 = 698268857478.727;
        bool r20156 = r20140 <= r20155;
        double r20157 = r20143 + r20144;
        double r20158 = r20143 / r20140;
        double r20159 = pow(r20157, r20158);
        double r20160 = pow(r20144, r20158);
        double r20161 = r20159 - r20160;
        double r20162 = 3;
        double r20163 = pow(r20161, r20162);
        double r20164 = cbrt(r20163);
        double r20165 = r20156 ? r20164 : r20154;
        double r20166 = r20142 ? r20154 : r20165;
        return r20166;
}

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 r20167, r20168, r20169, r20170, r20171, r20172, r20173, r20174;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20167);
        mpfr_init_set_str(r20168, "1", 10, MPFR_RNDN);
        mpfr_init(r20169);
        mpfr_init(r20170);
        mpfr_init(r20171);
        mpfr_init(r20172);
        mpfr_init(r20173);
        mpfr_init(r20174);
}

double f_im(double x, double n) {
        mpfr_set_d(r20167, x, MPFR_RNDN);
        ;
        mpfr_add(r20169, r20167, r20168, MPFR_RNDN);
        mpfr_set_d(r20170, n, MPFR_RNDN);
        mpfr_div(r20171, r20168, r20170, MPFR_RNDN);
        mpfr_pow(r20172, r20169, r20171, MPFR_RNDN);
        mpfr_pow(r20173, r20167, r20171, MPFR_RNDN);
        mpfr_sub(r20174, r20172, r20173, MPFR_RNDN);
        return mpfr_get_d(r20174, MPFR_RNDN);
}

static mpfr_t r20175, r20176, r20177, r20178, r20179, r20180, r20181, r20182, r20183, r20184, r20185, r20186, r20187, r20188, r20189, r20190, r20191, r20192, r20193, r20194, r20195, r20196, r20197, r20198, r20199, r20200, r20201;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20175);
        mpfr_init_set_str(r20176, "-16217293.129781114", 10, MPFR_RNDN);
        mpfr_init(r20177);
        mpfr_init_set_str(r20178, "1", 10, MPFR_RNDN);
        mpfr_init(r20179);
        mpfr_init(r20180);
        mpfr_init(r20181);
        mpfr_init_set_str(r20182, "1/2", 10, MPFR_RNDN);
        mpfr_init(r20183);
        mpfr_init(r20184);
        mpfr_init(r20185);
        mpfr_init(r20186);
        mpfr_init(r20187);
        mpfr_init(r20188);
        mpfr_init(r20189);
        mpfr_init_set_str(r20190, "698268857478.727", 10, MPFR_RNDN);
        mpfr_init(r20191);
        mpfr_init(r20192);
        mpfr_init(r20193);
        mpfr_init(r20194);
        mpfr_init(r20195);
        mpfr_init(r20196);
        mpfr_init_set_str(r20197, "3", 10, MPFR_RNDN);
        mpfr_init(r20198);
        mpfr_init(r20199);
        mpfr_init(r20200);
        mpfr_init(r20201);
}

double f_fm(double x, double n) {
        mpfr_set_d(r20175, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20177, mpfr_cmp(r20175, r20176) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20179, x, MPFR_RNDN);
        mpfr_mul(r20180, r20179, r20175, MPFR_RNDN);
        mpfr_div(r20181, r20178, r20180, MPFR_RNDN);
        ;
        mpfr_div(r20183, r20182, r20179, MPFR_RNDN);
        mpfr_div(r20184, r20183, r20180, MPFR_RNDN);
        mpfr_sub(r20185, r20181, r20184, MPFR_RNDN);
        mpfr_log(r20186, r20179, MPFR_RNDN);
        mpfr_div(r20187, r20186, r20175, MPFR_RNDN);
        mpfr_div(r20188, r20187, r20180, MPFR_RNDN);
        mpfr_sub(r20189, r20185, r20188, MPFR_RNDN);
        ;
        mpfr_set_si(r20191, mpfr_cmp(r20175, r20190) <= 0, MPFR_RNDN);
        mpfr_add(r20192, r20178, r20179, MPFR_RNDN);
        mpfr_div(r20193, r20178, r20175, MPFR_RNDN);
        mpfr_pow(r20194, r20192, r20193, MPFR_RNDN);
        mpfr_pow(r20195, r20179, r20193, MPFR_RNDN);
        mpfr_sub(r20196, r20194, r20195, MPFR_RNDN);
        ;
        mpfr_pow(r20198, r20196, r20197, MPFR_RNDN);
        mpfr_cbrt(r20199, r20198, MPFR_RNDN);
        if (mpfr_get_si(r20191, MPFR_RNDN)) { mpfr_set(r20200, r20199, MPFR_RNDN); } else { mpfr_set(r20200, r20189, MPFR_RNDN); };
        if (mpfr_get_si(r20177, MPFR_RNDN)) { mpfr_set(r20201, r20189, MPFR_RNDN); } else { mpfr_set(r20201, r20200, MPFR_RNDN); };
        return mpfr_get_d(r20201, MPFR_RNDN);
}

static mpfr_t r20202, r20203, r20204, r20205, r20206, r20207, r20208, r20209, r20210, r20211, r20212, r20213, r20214, r20215, r20216, r20217, r20218, r20219, r20220, r20221, r20222, r20223, r20224, r20225, r20226, r20227, r20228;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20202);
        mpfr_init_set_str(r20203, "-16217293.129781114", 10, MPFR_RNDN);
        mpfr_init(r20204);
        mpfr_init_set_str(r20205, "1", 10, MPFR_RNDN);
        mpfr_init(r20206);
        mpfr_init(r20207);
        mpfr_init(r20208);
        mpfr_init_set_str(r20209, "1/2", 10, MPFR_RNDN);
        mpfr_init(r20210);
        mpfr_init(r20211);
        mpfr_init(r20212);
        mpfr_init(r20213);
        mpfr_init(r20214);
        mpfr_init(r20215);
        mpfr_init(r20216);
        mpfr_init_set_str(r20217, "698268857478.727", 10, MPFR_RNDN);
        mpfr_init(r20218);
        mpfr_init(r20219);
        mpfr_init(r20220);
        mpfr_init(r20221);
        mpfr_init(r20222);
        mpfr_init(r20223);
        mpfr_init_set_str(r20224, "3", 10, MPFR_RNDN);
        mpfr_init(r20225);
        mpfr_init(r20226);
        mpfr_init(r20227);
        mpfr_init(r20228);
}

double f_dm(double x, double n) {
        mpfr_set_d(r20202, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20204, mpfr_cmp(r20202, r20203) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20206, x, MPFR_RNDN);
        mpfr_mul(r20207, r20206, r20202, MPFR_RNDN);
        mpfr_div(r20208, r20205, r20207, MPFR_RNDN);
        ;
        mpfr_div(r20210, r20209, r20206, MPFR_RNDN);
        mpfr_div(r20211, r20210, r20207, MPFR_RNDN);
        mpfr_sub(r20212, r20208, r20211, MPFR_RNDN);
        mpfr_log(r20213, r20206, MPFR_RNDN);
        mpfr_div(r20214, r20213, r20202, MPFR_RNDN);
        mpfr_div(r20215, r20214, r20207, MPFR_RNDN);
        mpfr_sub(r20216, r20212, r20215, MPFR_RNDN);
        ;
        mpfr_set_si(r20218, mpfr_cmp(r20202, r20217) <= 0, MPFR_RNDN);
        mpfr_add(r20219, r20205, r20206, MPFR_RNDN);
        mpfr_div(r20220, r20205, r20202, MPFR_RNDN);
        mpfr_pow(r20221, r20219, r20220, MPFR_RNDN);
        mpfr_pow(r20222, r20206, r20220, MPFR_RNDN);
        mpfr_sub(r20223, r20221, r20222, MPFR_RNDN);
        ;
        mpfr_pow(r20225, r20223, r20224, MPFR_RNDN);
        mpfr_cbrt(r20226, r20225, MPFR_RNDN);
        if (mpfr_get_si(r20218, MPFR_RNDN)) { mpfr_set(r20227, r20226, MPFR_RNDN); } else { mpfr_set(r20227, r20216, MPFR_RNDN); };
        if (mpfr_get_si(r20204, MPFR_RNDN)) { mpfr_set(r20228, r20216, MPFR_RNDN); } else { mpfr_set(r20228, r20227, MPFR_RNDN); };
        return mpfr_get_d(r20228, MPFR_RNDN);
}