#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 r19029 = x;
        float r19030 = 1.0f;
        float r19031 = r19029 + r19030;
        float r19032 = n;
        float r19033 = r19030 / r19032;
        float r19034 = pow(r19031, r19033);
        float r19035 = pow(r19029, r19033);
        float r19036 = r19034 - r19035;
        return r19036;
}

double f_id(double x, double n) {
        double r19037 = x;
        double r19038 = 1.0;
        double r19039 = r19037 + r19038;
        double r19040 = n;
        double r19041 = r19038 / r19040;
        double r19042 = pow(r19039, r19041);
        double r19043 = pow(r19037, r19041);
        double r19044 = r19042 - r19043;
        return r19044;
}


double f_of(float x, float n) {
        float r19045 = n;
        float r19046 = -16812845130.986868f;
        bool r19047 = r19045 <= r19046;
        float r19048 = 1.0f;
        float r19049 = x;
        float r19050 = r19049 * r19045;
        float r19051 = r19048 / r19050;
        float r19052 = 0.5f;
        float r19053 = r19052 / r19049;
        float r19054 = r19053 / r19050;
        float r19055 = log(r19049);
        float r19056 = r19055 / r19049;
        float r19057 = r19045 * r19045;
        float r19058 = r19056 / r19057;
        float r19059 = r19054 + r19058;
        float r19060 = r19051 - r19059;
        float r19061 = 1197227.277911289f;
        bool r19062 = r19045 <= r19061;
        float r19063 = r19048 + r19049;
        float r19064 = r19048 / r19045;
        float r19065 = pow(r19063, r19064);
        float r19066 = r19055 / r19045;
        float r19067 = exp(r19066);
        float r19068 = r19065 - r19067;
        float r19069 = cbrt(r19068);
        float r19070 = r19069 * (r19069 * r19069);
        float r19071 = r19062 ? r19070 : r19060;
        float r19072 = r19047 ? r19060 : r19071;
        return r19072;
}

double f_od(double x, double n) {
        double r19073 = n;
        double r19074 = -16812845130.986868;
        bool r19075 = r19073 <= r19074;
        double r19076 = 1.0;
        double r19077 = x;
        double r19078 = r19077 * r19073;
        double r19079 = r19076 / r19078;
        double r19080 = 0.5;
        double r19081 = r19080 / r19077;
        double r19082 = r19081 / r19078;
        double r19083 = log(r19077);
        double r19084 = r19083 / r19077;
        double r19085 = r19073 * r19073;
        double r19086 = r19084 / r19085;
        double r19087 = r19082 + r19086;
        double r19088 = r19079 - r19087;
        double r19089 = 1197227.277911289;
        bool r19090 = r19073 <= r19089;
        double r19091 = r19076 + r19077;
        double r19092 = r19076 / r19073;
        double r19093 = pow(r19091, r19092);
        double r19094 = r19083 / r19073;
        double r19095 = exp(r19094);
        double r19096 = r19093 - r19095;
        double r19097 = cbrt(r19096);
        double r19098 = r19097 * (r19097 * r19097);
        double r19099 = r19090 ? r19098 : r19088;
        double r19100 = r19075 ? r19088 : r19099;
        return r19100;
}

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 r19101, r19102, r19103, r19104, r19105, r19106, r19107, r19108;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r19101);
        mpfr_init_set_str(r19102, "1", 10, MPFR_RNDN);
        mpfr_init(r19103);
        mpfr_init(r19104);
        mpfr_init(r19105);
        mpfr_init(r19106);
        mpfr_init(r19107);
        mpfr_init(r19108);
}

double f_im(double x, double n) {
        mpfr_set_d(r19101, x, MPFR_RNDN);
        ;
        mpfr_add(r19103, r19101, r19102, MPFR_RNDN);
        mpfr_set_d(r19104, n, MPFR_RNDN);
        mpfr_div(r19105, r19102, r19104, MPFR_RNDN);
        mpfr_pow(r19106, r19103, r19105, MPFR_RNDN);
        mpfr_pow(r19107, r19101, r19105, MPFR_RNDN);
        mpfr_sub(r19108, r19106, r19107, MPFR_RNDN);
        return mpfr_get_d(r19108, MPFR_RNDN);
}

static mpfr_t r19109, r19110, r19111, r19112, r19113, r19114, r19115, r19116, r19117, r19118, r19119, r19120, r19121, r19122, r19123, r19124, r19125, r19126, r19127, r19128, r19129, r19130, r19131, r19132, r19133, r19134, r19135, r19136;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r19109);
        mpfr_init_set_str(r19110, "-16812845130.986868", 10, MPFR_RNDN);
        mpfr_init(r19111);
        mpfr_init_set_str(r19112, "1", 10, MPFR_RNDN);
        mpfr_init(r19113);
        mpfr_init(r19114);
        mpfr_init(r19115);
        mpfr_init_set_str(r19116, "1/2", 10, MPFR_RNDN);
        mpfr_init(r19117);
        mpfr_init(r19118);
        mpfr_init(r19119);
        mpfr_init(r19120);
        mpfr_init(r19121);
        mpfr_init(r19122);
        mpfr_init(r19123);
        mpfr_init(r19124);
        mpfr_init_set_str(r19125, "1197227.277911289", 10, MPFR_RNDN);
        mpfr_init(r19126);
        mpfr_init(r19127);
        mpfr_init(r19128);
        mpfr_init(r19129);
        mpfr_init(r19130);
        mpfr_init(r19131);
        mpfr_init(r19132);
        mpfr_init(r19133);
        mpfr_init(r19134);
        mpfr_init(r19135);
        mpfr_init(r19136);
}

double f_fm(double x, double n) {
        mpfr_set_d(r19109, n, MPFR_RNDN);
        ;
        mpfr_set_si(r19111, mpfr_cmp(r19109, r19110) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r19113, x, MPFR_RNDN);
        mpfr_mul(r19114, r19113, r19109, MPFR_RNDN);
        mpfr_div(r19115, r19112, r19114, MPFR_RNDN);
        ;
        mpfr_div(r19117, r19116, r19113, MPFR_RNDN);
        mpfr_div(r19118, r19117, r19114, MPFR_RNDN);
        mpfr_log(r19119, r19113, MPFR_RNDN);
        mpfr_div(r19120, r19119, r19113, MPFR_RNDN);
        mpfr_sqr(r19121, r19109, MPFR_RNDN);
        mpfr_div(r19122, r19120, r19121, MPFR_RNDN);
        mpfr_add(r19123, r19118, r19122, MPFR_RNDN);
        mpfr_sub(r19124, r19115, r19123, MPFR_RNDN);
        ;
        mpfr_set_si(r19126, mpfr_cmp(r19109, r19125) <= 0, MPFR_RNDN);
        mpfr_add(r19127, r19112, r19113, MPFR_RNDN);
        mpfr_div(r19128, r19112, r19109, MPFR_RNDN);
        mpfr_pow(r19129, r19127, r19128, MPFR_RNDN);
        mpfr_div(r19130, r19119, r19109, MPFR_RNDN);
        mpfr_exp(r19131, r19130, MPFR_RNDN);
        mpfr_sub(r19132, r19129, r19131, MPFR_RNDN);
        mpfr_cbrt(r19133, r19132, MPFR_RNDN);
        mpfr_mul(r19134, r19133, r19133, MPFR_RNDN); mpfr_mul(r19134, r19134, r19133, MPFR_RNDN);
        if (mpfr_get_si(r19126, MPFR_RNDN)) { mpfr_set(r19135, r19134, MPFR_RNDN); } else { mpfr_set(r19135, r19124, MPFR_RNDN); };
        if (mpfr_get_si(r19111, MPFR_RNDN)) { mpfr_set(r19136, r19124, MPFR_RNDN); } else { mpfr_set(r19136, r19135, MPFR_RNDN); };
        return mpfr_get_d(r19136, MPFR_RNDN);
}

static mpfr_t r19137, r19138, r19139, r19140, r19141, r19142, r19143, r19144, r19145, r19146, r19147, r19148, r19149, r19150, r19151, r19152, r19153, r19154, r19155, r19156, r19157, r19158, r19159, r19160, r19161, r19162, r19163, r19164;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r19137);
        mpfr_init_set_str(r19138, "-16812845130.986868", 10, MPFR_RNDN);
        mpfr_init(r19139);
        mpfr_init_set_str(r19140, "1", 10, MPFR_RNDN);
        mpfr_init(r19141);
        mpfr_init(r19142);
        mpfr_init(r19143);
        mpfr_init_set_str(r19144, "1/2", 10, MPFR_RNDN);
        mpfr_init(r19145);
        mpfr_init(r19146);
        mpfr_init(r19147);
        mpfr_init(r19148);
        mpfr_init(r19149);
        mpfr_init(r19150);
        mpfr_init(r19151);
        mpfr_init(r19152);
        mpfr_init_set_str(r19153, "1197227.277911289", 10, MPFR_RNDN);
        mpfr_init(r19154);
        mpfr_init(r19155);
        mpfr_init(r19156);
        mpfr_init(r19157);
        mpfr_init(r19158);
        mpfr_init(r19159);
        mpfr_init(r19160);
        mpfr_init(r19161);
        mpfr_init(r19162);
        mpfr_init(r19163);
        mpfr_init(r19164);
}

double f_dm(double x, double n) {
        mpfr_set_d(r19137, n, MPFR_RNDN);
        ;
        mpfr_set_si(r19139, mpfr_cmp(r19137, r19138) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r19141, x, MPFR_RNDN);
        mpfr_mul(r19142, r19141, r19137, MPFR_RNDN);
        mpfr_div(r19143, r19140, r19142, MPFR_RNDN);
        ;
        mpfr_div(r19145, r19144, r19141, MPFR_RNDN);
        mpfr_div(r19146, r19145, r19142, MPFR_RNDN);
        mpfr_log(r19147, r19141, MPFR_RNDN);
        mpfr_div(r19148, r19147, r19141, MPFR_RNDN);
        mpfr_sqr(r19149, r19137, MPFR_RNDN);
        mpfr_div(r19150, r19148, r19149, MPFR_RNDN);
        mpfr_add(r19151, r19146, r19150, MPFR_RNDN);
        mpfr_sub(r19152, r19143, r19151, MPFR_RNDN);
        ;
        mpfr_set_si(r19154, mpfr_cmp(r19137, r19153) <= 0, MPFR_RNDN);
        mpfr_add(r19155, r19140, r19141, MPFR_RNDN);
        mpfr_div(r19156, r19140, r19137, MPFR_RNDN);
        mpfr_pow(r19157, r19155, r19156, MPFR_RNDN);
        mpfr_div(r19158, r19147, r19137, MPFR_RNDN);
        mpfr_exp(r19159, r19158, MPFR_RNDN);
        mpfr_sub(r19160, r19157, r19159, MPFR_RNDN);
        mpfr_cbrt(r19161, r19160, MPFR_RNDN);
        mpfr_mul(r19162, r19161, r19161, MPFR_RNDN); mpfr_mul(r19162, r19162, r19161, MPFR_RNDN);
        if (mpfr_get_si(r19154, MPFR_RNDN)) { mpfr_set(r19163, r19162, MPFR_RNDN); } else { mpfr_set(r19163, r19152, MPFR_RNDN); };
        if (mpfr_get_si(r19139, MPFR_RNDN)) { mpfr_set(r19164, r19152, MPFR_RNDN); } else { mpfr_set(r19164, r19163, MPFR_RNDN); };
        return mpfr_get_d(r19164, MPFR_RNDN);
}