#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 r20089 = x;
        float r20090 = 1;
        float r20091 = r20089 + r20090;
        float r20092 = n;
        float r20093 = r20090 / r20092;
        float r20094 = pow(r20091, r20093);
        float r20095 = pow(r20089, r20093);
        float r20096 = r20094 - r20095;
        return r20096;
}

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


double f_of(float x, float n) {
        float r20105 = n;
        float r20106 = -16217293.129781114;
        bool r20107 = r20105 <= r20106;
        float r20108 = 1;
        float r20109 = x;
        float r20110 = r20109 * r20105;
        float r20111 = r20108 / r20110;
        float r20112 = 1/2;
        float r20113 = r20112 / r20109;
        float r20114 = r20113 / r20110;
        float r20115 = r20111 - r20114;
        float r20116 = log(r20109);
        float r20117 = r20116 / r20105;
        float r20118 = r20117 / r20110;
        float r20119 = r20115 - r20118;
        float r20120 = 698268857478.727;
        bool r20121 = r20105 <= r20120;
        float r20122 = r20108 + r20109;
        float r20123 = r20108 / r20105;
        float r20124 = pow(r20122, r20123);
        float r20125 = pow(r20109, r20123);
        float r20126 = r20124 - r20125;
        float r20127 = 3;
        float r20128 = pow(r20126, r20127);
        float r20129 = cbrt(r20128);
        float r20130 = r20121 ? r20129 : r20119;
        float r20131 = r20107 ? r20119 : r20130;
        return r20131;
}

double f_od(double x, double n) {
        double r20132 = n;
        double r20133 = -16217293.129781114;
        bool r20134 = r20132 <= r20133;
        double r20135 = 1;
        double r20136 = x;
        double r20137 = r20136 * r20132;
        double r20138 = r20135 / r20137;
        double r20139 = 1/2;
        double r20140 = r20139 / r20136;
        double r20141 = r20140 / r20137;
        double r20142 = r20138 - r20141;
        double r20143 = log(r20136);
        double r20144 = r20143 / r20132;
        double r20145 = r20144 / r20137;
        double r20146 = r20142 - r20145;
        double r20147 = 698268857478.727;
        bool r20148 = r20132 <= r20147;
        double r20149 = r20135 + r20136;
        double r20150 = r20135 / r20132;
        double r20151 = pow(r20149, r20150);
        double r20152 = pow(r20136, r20150);
        double r20153 = r20151 - r20152;
        double r20154 = 3;
        double r20155 = pow(r20153, r20154);
        double r20156 = cbrt(r20155);
        double r20157 = r20148 ? r20156 : r20146;
        double r20158 = r20134 ? r20146 : r20157;
        return r20158;
}

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 r20159, r20160, r20161, r20162, r20163, r20164, r20165, r20166;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20159);
        mpfr_init_set_str(r20160, "1", 10, MPFR_RNDN);
        mpfr_init(r20161);
        mpfr_init(r20162);
        mpfr_init(r20163);
        mpfr_init(r20164);
        mpfr_init(r20165);
        mpfr_init(r20166);
}

double f_im(double x, double n) {
        mpfr_set_d(r20159, x, MPFR_RNDN);
        ;
        mpfr_add(r20161, r20159, r20160, MPFR_RNDN);
        mpfr_set_d(r20162, n, MPFR_RNDN);
        mpfr_div(r20163, r20160, r20162, MPFR_RNDN);
        mpfr_pow(r20164, r20161, r20163, MPFR_RNDN);
        mpfr_pow(r20165, r20159, r20163, MPFR_RNDN);
        mpfr_sub(r20166, r20164, r20165, MPFR_RNDN);
        return mpfr_get_d(r20166, MPFR_RNDN);
}

static mpfr_t r20167, r20168, r20169, r20170, r20171, r20172, r20173, r20174, r20175, r20176, r20177, r20178, r20179, r20180, r20181, r20182, r20183, r20184, r20185, r20186, r20187, r20188, r20189, r20190, r20191, r20192, r20193;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20167);
        mpfr_init_set_str(r20168, "-16217293.129781114", 10, MPFR_RNDN);
        mpfr_init(r20169);
        mpfr_init_set_str(r20170, "1", 10, MPFR_RNDN);
        mpfr_init(r20171);
        mpfr_init(r20172);
        mpfr_init(r20173);
        mpfr_init_set_str(r20174, "1/2", 10, MPFR_RNDN);
        mpfr_init(r20175);
        mpfr_init(r20176);
        mpfr_init(r20177);
        mpfr_init(r20178);
        mpfr_init(r20179);
        mpfr_init(r20180);
        mpfr_init(r20181);
        mpfr_init_set_str(r20182, "698268857478.727", 10, MPFR_RNDN);
        mpfr_init(r20183);
        mpfr_init(r20184);
        mpfr_init(r20185);
        mpfr_init(r20186);
        mpfr_init(r20187);
        mpfr_init(r20188);
        mpfr_init_set_str(r20189, "3", 10, MPFR_RNDN);
        mpfr_init(r20190);
        mpfr_init(r20191);
        mpfr_init(r20192);
        mpfr_init(r20193);
}

double f_fm(double x, double n) {
        mpfr_set_d(r20167, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20169, mpfr_cmp(r20167, r20168) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20171, x, MPFR_RNDN);
        mpfr_mul(r20172, r20171, r20167, MPFR_RNDN);
        mpfr_div(r20173, r20170, r20172, MPFR_RNDN);
        ;
        mpfr_div(r20175, r20174, r20171, MPFR_RNDN);
        mpfr_div(r20176, r20175, r20172, MPFR_RNDN);
        mpfr_sub(r20177, r20173, r20176, MPFR_RNDN);
        mpfr_log(r20178, r20171, MPFR_RNDN);
        mpfr_div(r20179, r20178, r20167, MPFR_RNDN);
        mpfr_div(r20180, r20179, r20172, MPFR_RNDN);
        mpfr_sub(r20181, r20177, r20180, MPFR_RNDN);
        ;
        mpfr_set_si(r20183, mpfr_cmp(r20167, r20182) <= 0, MPFR_RNDN);
        mpfr_add(r20184, r20170, r20171, MPFR_RNDN);
        mpfr_div(r20185, r20170, r20167, MPFR_RNDN);
        mpfr_pow(r20186, r20184, r20185, MPFR_RNDN);
        mpfr_pow(r20187, r20171, r20185, MPFR_RNDN);
        mpfr_sub(r20188, r20186, r20187, MPFR_RNDN);
        ;
        mpfr_pow(r20190, r20188, r20189, MPFR_RNDN);
        mpfr_cbrt(r20191, r20190, MPFR_RNDN);
        if (mpfr_get_si(r20183, MPFR_RNDN)) { mpfr_set(r20192, r20191, MPFR_RNDN); } else { mpfr_set(r20192, r20181, MPFR_RNDN); };
        if (mpfr_get_si(r20169, MPFR_RNDN)) { mpfr_set(r20193, r20181, MPFR_RNDN); } else { mpfr_set(r20193, r20192, MPFR_RNDN); };
        return mpfr_get_d(r20193, MPFR_RNDN);
}

static mpfr_t r20194, r20195, r20196, r20197, r20198, r20199, r20200, r20201, r20202, r20203, r20204, r20205, r20206, r20207, r20208, r20209, r20210, r20211, r20212, r20213, r20214, r20215, r20216, r20217, r20218, r20219, r20220;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20194);
        mpfr_init_set_str(r20195, "-16217293.129781114", 10, MPFR_RNDN);
        mpfr_init(r20196);
        mpfr_init_set_str(r20197, "1", 10, MPFR_RNDN);
        mpfr_init(r20198);
        mpfr_init(r20199);
        mpfr_init(r20200);
        mpfr_init_set_str(r20201, "1/2", 10, MPFR_RNDN);
        mpfr_init(r20202);
        mpfr_init(r20203);
        mpfr_init(r20204);
        mpfr_init(r20205);
        mpfr_init(r20206);
        mpfr_init(r20207);
        mpfr_init(r20208);
        mpfr_init_set_str(r20209, "698268857478.727", 10, MPFR_RNDN);
        mpfr_init(r20210);
        mpfr_init(r20211);
        mpfr_init(r20212);
        mpfr_init(r20213);
        mpfr_init(r20214);
        mpfr_init(r20215);
        mpfr_init_set_str(r20216, "3", 10, MPFR_RNDN);
        mpfr_init(r20217);
        mpfr_init(r20218);
        mpfr_init(r20219);
        mpfr_init(r20220);
}

double f_dm(double x, double n) {
        mpfr_set_d(r20194, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20196, mpfr_cmp(r20194, r20195) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20198, x, MPFR_RNDN);
        mpfr_mul(r20199, r20198, r20194, MPFR_RNDN);
        mpfr_div(r20200, r20197, r20199, MPFR_RNDN);
        ;
        mpfr_div(r20202, r20201, r20198, MPFR_RNDN);
        mpfr_div(r20203, r20202, r20199, MPFR_RNDN);
        mpfr_sub(r20204, r20200, r20203, MPFR_RNDN);
        mpfr_log(r20205, r20198, MPFR_RNDN);
        mpfr_div(r20206, r20205, r20194, MPFR_RNDN);
        mpfr_div(r20207, r20206, r20199, MPFR_RNDN);
        mpfr_sub(r20208, r20204, r20207, MPFR_RNDN);
        ;
        mpfr_set_si(r20210, mpfr_cmp(r20194, r20209) <= 0, MPFR_RNDN);
        mpfr_add(r20211, r20197, r20198, MPFR_RNDN);
        mpfr_div(r20212, r20197, r20194, MPFR_RNDN);
        mpfr_pow(r20213, r20211, r20212, MPFR_RNDN);
        mpfr_pow(r20214, r20198, r20212, MPFR_RNDN);
        mpfr_sub(r20215, r20213, r20214, MPFR_RNDN);
        ;
        mpfr_pow(r20217, r20215, r20216, MPFR_RNDN);
        mpfr_cbrt(r20218, r20217, MPFR_RNDN);
        if (mpfr_get_si(r20210, MPFR_RNDN)) { mpfr_set(r20219, r20218, MPFR_RNDN); } else { mpfr_set(r20219, r20208, MPFR_RNDN); };
        if (mpfr_get_si(r20196, MPFR_RNDN)) { mpfr_set(r20220, r20208, MPFR_RNDN); } else { mpfr_set(r20220, r20219, MPFR_RNDN); };
        return mpfr_get_d(r20220, MPFR_RNDN);
}