#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 r18584 = x;
        float r18585 = 1.0f;
        float r18586 = r18584 + r18585;
        float r18587 = n;
        float r18588 = r18585 / r18587;
        float r18589 = pow(r18586, r18588);
        float r18590 = pow(r18584, r18588);
        float r18591 = r18589 - r18590;
        return r18591;
}

double f_id(double x, double n) {
        double r18592 = x;
        double r18593 = 1.0;
        double r18594 = r18592 + r18593;
        double r18595 = n;
        double r18596 = r18593 / r18595;
        double r18597 = pow(r18594, r18596);
        double r18598 = pow(r18592, r18596);
        double r18599 = r18597 - r18598;
        return r18599;
}


double f_of(float x, float n) {
        float r18600 = n;
        float r18601 = -5211221885.493968f;
        bool r18602 = r18600 <= r18601;
        float r18603 = 1.0f;
        float r18604 = x;
        float r18605 = r18604 * r18600;
        float r18606 = r18603 / r18605;
        float r18607 = 0.5f;
        float r18608 = r18607 / r18604;
        float r18609 = r18608 / r18605;
        float r18610 = log(r18604);
        float r18611 = r18610 / r18604;
        float r18612 = r18600 * r18600;
        float r18613 = r18611 / r18612;
        float r18614 = r18609 + r18613;
        float r18615 = r18606 - r18614;
        float r18616 = 1060309744923.502f;
        bool r18617 = r18600 <= r18616;
        float r18618 = r18604 + r18603;
        float r18619 = r18603 / r18600;
        float r18620 = pow(r18618, r18619);
        float r18621 = cbrt(r18620);
        float r18622 = r18621 * (r18621 * r18621);
        float r18623 = pow(r18604, r18619);
        float r18624 = r18622 - r18623;
        float r18625 = r18617 ? r18624 : r18615;
        float r18626 = r18602 ? r18615 : r18625;
        return r18626;
}

double f_od(double x, double n) {
        double r18627 = n;
        double r18628 = -5211221885.493968;
        bool r18629 = r18627 <= r18628;
        double r18630 = 1.0;
        double r18631 = x;
        double r18632 = r18631 * r18627;
        double r18633 = r18630 / r18632;
        double r18634 = 0.5;
        double r18635 = r18634 / r18631;
        double r18636 = r18635 / r18632;
        double r18637 = log(r18631);
        double r18638 = r18637 / r18631;
        double r18639 = r18627 * r18627;
        double r18640 = r18638 / r18639;
        double r18641 = r18636 + r18640;
        double r18642 = r18633 - r18641;
        double r18643 = 1060309744923.502;
        bool r18644 = r18627 <= r18643;
        double r18645 = r18631 + r18630;
        double r18646 = r18630 / r18627;
        double r18647 = pow(r18645, r18646);
        double r18648 = cbrt(r18647);
        double r18649 = r18648 * (r18648 * r18648);
        double r18650 = pow(r18631, r18646);
        double r18651 = r18649 - r18650;
        double r18652 = r18644 ? r18651 : r18642;
        double r18653 = r18629 ? r18642 : r18652;
        return r18653;
}

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 r18654, r18655, r18656, r18657, r18658, r18659, r18660, r18661;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18654);
        mpfr_init_set_str(r18655, "1", 10, MPFR_RNDN);
        mpfr_init(r18656);
        mpfr_init(r18657);
        mpfr_init(r18658);
        mpfr_init(r18659);
        mpfr_init(r18660);
        mpfr_init(r18661);
}

double f_im(double x, double n) {
        mpfr_set_d(r18654, x, MPFR_RNDN);
        ;
        mpfr_add(r18656, r18654, r18655, MPFR_RNDN);
        mpfr_set_d(r18657, n, MPFR_RNDN);
        mpfr_div(r18658, r18655, r18657, MPFR_RNDN);
        mpfr_pow(r18659, r18656, r18658, MPFR_RNDN);
        mpfr_pow(r18660, r18654, r18658, MPFR_RNDN);
        mpfr_sub(r18661, r18659, r18660, MPFR_RNDN);
        return mpfr_get_d(r18661, MPFR_RNDN);
}

static mpfr_t r18662, r18663, r18664, r18665, r18666, r18667, r18668, r18669, r18670, r18671, r18672, r18673, r18674, r18675, r18676, r18677, r18678, r18679, r18680, r18681, r18682, r18683, r18684, r18685, r18686, r18687, r18688;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18662);
        mpfr_init_set_str(r18663, "-5211221885.493968", 10, MPFR_RNDN);
        mpfr_init(r18664);
        mpfr_init_set_str(r18665, "1", 10, MPFR_RNDN);
        mpfr_init(r18666);
        mpfr_init(r18667);
        mpfr_init(r18668);
        mpfr_init_set_str(r18669, "1/2", 10, MPFR_RNDN);
        mpfr_init(r18670);
        mpfr_init(r18671);
        mpfr_init(r18672);
        mpfr_init(r18673);
        mpfr_init(r18674);
        mpfr_init(r18675);
        mpfr_init(r18676);
        mpfr_init(r18677);
        mpfr_init_set_str(r18678, "1060309744923.502", 10, MPFR_RNDN);
        mpfr_init(r18679);
        mpfr_init(r18680);
        mpfr_init(r18681);
        mpfr_init(r18682);
        mpfr_init(r18683);
        mpfr_init(r18684);
        mpfr_init(r18685);
        mpfr_init(r18686);
        mpfr_init(r18687);
        mpfr_init(r18688);
}

double f_fm(double x, double n) {
        mpfr_set_d(r18662, n, MPFR_RNDN);
        ;
        mpfr_set_si(r18664, mpfr_cmp(r18662, r18663) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r18666, x, MPFR_RNDN);
        mpfr_mul(r18667, r18666, r18662, MPFR_RNDN);
        mpfr_div(r18668, r18665, r18667, MPFR_RNDN);
        ;
        mpfr_div(r18670, r18669, r18666, MPFR_RNDN);
        mpfr_div(r18671, r18670, r18667, MPFR_RNDN);
        mpfr_log(r18672, r18666, MPFR_RNDN);
        mpfr_div(r18673, r18672, r18666, MPFR_RNDN);
        mpfr_sqr(r18674, r18662, MPFR_RNDN);
        mpfr_div(r18675, r18673, r18674, MPFR_RNDN);
        mpfr_add(r18676, r18671, r18675, MPFR_RNDN);
        mpfr_sub(r18677, r18668, r18676, MPFR_RNDN);
        ;
        mpfr_set_si(r18679, mpfr_cmp(r18662, r18678) <= 0, MPFR_RNDN);
        mpfr_add(r18680, r18666, r18665, MPFR_RNDN);
        mpfr_div(r18681, r18665, r18662, MPFR_RNDN);
        mpfr_pow(r18682, r18680, r18681, MPFR_RNDN);
        mpfr_cbrt(r18683, r18682, MPFR_RNDN);
        mpfr_mul(r18684, r18683, r18683, MPFR_RNDN); mpfr_mul(r18684, r18684, r18683, MPFR_RNDN);
        mpfr_pow(r18685, r18666, r18681, MPFR_RNDN);
        mpfr_sub(r18686, r18684, r18685, MPFR_RNDN);
        if (mpfr_get_si(r18679, MPFR_RNDN)) { mpfr_set(r18687, r18686, MPFR_RNDN); } else { mpfr_set(r18687, r18677, MPFR_RNDN); };
        if (mpfr_get_si(r18664, MPFR_RNDN)) { mpfr_set(r18688, r18677, MPFR_RNDN); } else { mpfr_set(r18688, r18687, MPFR_RNDN); };
        return mpfr_get_d(r18688, MPFR_RNDN);
}

static mpfr_t r18689, r18690, r18691, r18692, r18693, r18694, r18695, r18696, r18697, r18698, r18699, r18700, r18701, r18702, r18703, r18704, r18705, r18706, r18707, r18708, r18709, r18710, r18711, r18712, r18713, r18714, r18715;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18689);
        mpfr_init_set_str(r18690, "-5211221885.493968", 10, MPFR_RNDN);
        mpfr_init(r18691);
        mpfr_init_set_str(r18692, "1", 10, MPFR_RNDN);
        mpfr_init(r18693);
        mpfr_init(r18694);
        mpfr_init(r18695);
        mpfr_init_set_str(r18696, "1/2", 10, MPFR_RNDN);
        mpfr_init(r18697);
        mpfr_init(r18698);
        mpfr_init(r18699);
        mpfr_init(r18700);
        mpfr_init(r18701);
        mpfr_init(r18702);
        mpfr_init(r18703);
        mpfr_init(r18704);
        mpfr_init_set_str(r18705, "1060309744923.502", 10, MPFR_RNDN);
        mpfr_init(r18706);
        mpfr_init(r18707);
        mpfr_init(r18708);
        mpfr_init(r18709);
        mpfr_init(r18710);
        mpfr_init(r18711);
        mpfr_init(r18712);
        mpfr_init(r18713);
        mpfr_init(r18714);
        mpfr_init(r18715);
}

double f_dm(double x, double n) {
        mpfr_set_d(r18689, n, MPFR_RNDN);
        ;
        mpfr_set_si(r18691, mpfr_cmp(r18689, r18690) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r18693, x, MPFR_RNDN);
        mpfr_mul(r18694, r18693, r18689, MPFR_RNDN);
        mpfr_div(r18695, r18692, r18694, MPFR_RNDN);
        ;
        mpfr_div(r18697, r18696, r18693, MPFR_RNDN);
        mpfr_div(r18698, r18697, r18694, MPFR_RNDN);
        mpfr_log(r18699, r18693, MPFR_RNDN);
        mpfr_div(r18700, r18699, r18693, MPFR_RNDN);
        mpfr_sqr(r18701, r18689, MPFR_RNDN);
        mpfr_div(r18702, r18700, r18701, MPFR_RNDN);
        mpfr_add(r18703, r18698, r18702, MPFR_RNDN);
        mpfr_sub(r18704, r18695, r18703, MPFR_RNDN);
        ;
        mpfr_set_si(r18706, mpfr_cmp(r18689, r18705) <= 0, MPFR_RNDN);
        mpfr_add(r18707, r18693, r18692, MPFR_RNDN);
        mpfr_div(r18708, r18692, r18689, MPFR_RNDN);
        mpfr_pow(r18709, r18707, r18708, MPFR_RNDN);
        mpfr_cbrt(r18710, r18709, MPFR_RNDN);
        mpfr_mul(r18711, r18710, r18710, MPFR_RNDN); mpfr_mul(r18711, r18711, r18710, MPFR_RNDN);
        mpfr_pow(r18712, r18693, r18708, MPFR_RNDN);
        mpfr_sub(r18713, r18711, r18712, MPFR_RNDN);
        if (mpfr_get_si(r18706, MPFR_RNDN)) { mpfr_set(r18714, r18713, MPFR_RNDN); } else { mpfr_set(r18714, r18704, MPFR_RNDN); };
        if (mpfr_get_si(r18691, MPFR_RNDN)) { mpfr_set(r18715, r18704, MPFR_RNDN); } else { mpfr_set(r18715, r18714, MPFR_RNDN); };
        return mpfr_get_d(r18715, MPFR_RNDN);
}