#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 = -316.6254307243247;
        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 = 1474036971039.3018;
        bool r20129 = r20113 <= r20128;
        float r20130 = r20117 + r20116;
        float r20131 = r20116 / r20113;
        float r20132 = pow(r20130, r20131);
        float r20133 = exp(r20125);
        float r20134 = r20132 - r20133;
        float r20135 = r20129 ? r20134 : r20127;
        float r20136 = r20115 ? r20127 : r20135;
        return r20136;
}

double f_od(double x, double n) {
        double r20137 = n;
        double r20138 = -316.6254307243247;
        bool r20139 = r20137 <= r20138;
        double r20140 = 1;
        double r20141 = x;
        double r20142 = r20141 * r20137;
        double r20143 = r20140 / r20142;
        double r20144 = 1/2;
        double r20145 = r20144 / r20141;
        double r20146 = r20145 / r20142;
        double r20147 = r20143 - r20146;
        double r20148 = log(r20141);
        double r20149 = r20148 / r20137;
        double r20150 = r20149 / r20142;
        double r20151 = r20147 - r20150;
        double r20152 = 1474036971039.3018;
        bool r20153 = r20137 <= r20152;
        double r20154 = r20141 + r20140;
        double r20155 = r20140 / r20137;
        double r20156 = pow(r20154, r20155);
        double r20157 = exp(r20149);
        double r20158 = r20156 - r20157;
        double r20159 = r20153 ? r20158 : r20151;
        double r20160 = r20139 ? r20151 : r20159;
        return r20160;
}

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 r20161, r20162, r20163, r20164, r20165, r20166, r20167, r20168;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20161);
        mpfr_init_set_str(r20162, "1", 10, MPFR_RNDN);
        mpfr_init(r20163);
        mpfr_init(r20164);
        mpfr_init(r20165);
        mpfr_init(r20166);
        mpfr_init(r20167);
        mpfr_init(r20168);
}

double f_im(double x, double n) {
        mpfr_set_d(r20161, x, MPFR_RNDN);
        ;
        mpfr_add(r20163, r20161, r20162, MPFR_RNDN);
        mpfr_set_d(r20164, n, MPFR_RNDN);
        mpfr_div(r20165, r20162, r20164, MPFR_RNDN);
        mpfr_pow(r20166, r20163, r20165, MPFR_RNDN);
        mpfr_pow(r20167, r20161, r20165, MPFR_RNDN);
        mpfr_sub(r20168, r20166, r20167, MPFR_RNDN);
        return mpfr_get_d(r20168, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20169);
        mpfr_init_set_str(r20170, "-316.6254307243247", 10, MPFR_RNDN);
        mpfr_init(r20171);
        mpfr_init_set_str(r20172, "1", 10, MPFR_RNDN);
        mpfr_init(r20173);
        mpfr_init(r20174);
        mpfr_init(r20175);
        mpfr_init_set_str(r20176, "1/2", 10, MPFR_RNDN);
        mpfr_init(r20177);
        mpfr_init(r20178);
        mpfr_init(r20179);
        mpfr_init(r20180);
        mpfr_init(r20181);
        mpfr_init(r20182);
        mpfr_init(r20183);
        mpfr_init_set_str(r20184, "1474036971039.3018", 10, MPFR_RNDN);
        mpfr_init(r20185);
        mpfr_init(r20186);
        mpfr_init(r20187);
        mpfr_init(r20188);
        mpfr_init(r20189);
        mpfr_init(r20190);
        mpfr_init(r20191);
        mpfr_init(r20192);
}

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

static mpfr_t r20193, r20194, r20195, r20196, r20197, r20198, r20199, r20200, r20201, r20202, r20203, r20204, r20205, r20206, r20207, r20208, r20209, r20210, r20211, r20212, r20213, r20214, r20215, r20216;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20193);
        mpfr_init_set_str(r20194, "-316.6254307243247", 10, MPFR_RNDN);
        mpfr_init(r20195);
        mpfr_init_set_str(r20196, "1", 10, MPFR_RNDN);
        mpfr_init(r20197);
        mpfr_init(r20198);
        mpfr_init(r20199);
        mpfr_init_set_str(r20200, "1/2", 10, MPFR_RNDN);
        mpfr_init(r20201);
        mpfr_init(r20202);
        mpfr_init(r20203);
        mpfr_init(r20204);
        mpfr_init(r20205);
        mpfr_init(r20206);
        mpfr_init(r20207);
        mpfr_init_set_str(r20208, "1474036971039.3018", 10, MPFR_RNDN);
        mpfr_init(r20209);
        mpfr_init(r20210);
        mpfr_init(r20211);
        mpfr_init(r20212);
        mpfr_init(r20213);
        mpfr_init(r20214);
        mpfr_init(r20215);
        mpfr_init(r20216);
}

double f_dm(double x, double n) {
        mpfr_set_d(r20193, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20195, mpfr_cmp(r20193, r20194) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20197, x, MPFR_RNDN);
        mpfr_mul(r20198, r20197, r20193, MPFR_RNDN);
        mpfr_div(r20199, r20196, r20198, MPFR_RNDN);
        ;
        mpfr_div(r20201, r20200, r20197, MPFR_RNDN);
        mpfr_div(r20202, r20201, r20198, MPFR_RNDN);
        mpfr_sub(r20203, r20199, r20202, MPFR_RNDN);
        mpfr_log(r20204, r20197, MPFR_RNDN);
        mpfr_div(r20205, r20204, r20193, MPFR_RNDN);
        mpfr_div(r20206, r20205, r20198, MPFR_RNDN);
        mpfr_sub(r20207, r20203, r20206, MPFR_RNDN);
        ;
        mpfr_set_si(r20209, mpfr_cmp(r20193, r20208) <= 0, MPFR_RNDN);
        mpfr_add(r20210, r20197, r20196, MPFR_RNDN);
        mpfr_div(r20211, r20196, r20193, MPFR_RNDN);
        mpfr_pow(r20212, r20210, r20211, MPFR_RNDN);
        mpfr_exp(r20213, r20205, MPFR_RNDN);
        mpfr_sub(r20214, r20212, r20213, MPFR_RNDN);
        if (mpfr_get_si(r20209, MPFR_RNDN)) { mpfr_set(r20215, r20214, MPFR_RNDN); } else { mpfr_set(r20215, r20207, MPFR_RNDN); };
        if (mpfr_get_si(r20195, MPFR_RNDN)) { mpfr_set(r20216, r20207, MPFR_RNDN); } else { mpfr_set(r20216, r20215, MPFR_RNDN); };
        return mpfr_get_d(r20216, MPFR_RNDN);
}