#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 r22619 = x;
        float r22620 = 1;
        float r22621 = r22619 + r22620;
        float r22622 = n;
        float r22623 = r22620 / r22622;
        float r22624 = pow(r22621, r22623);
        float r22625 = pow(r22619, r22623);
        float r22626 = r22624 - r22625;
        return r22626;
}

double f_id(double x, double n) {
        double r22627 = x;
        double r22628 = 1;
        double r22629 = r22627 + r22628;
        double r22630 = n;
        double r22631 = r22628 / r22630;
        double r22632 = pow(r22629, r22631);
        double r22633 = pow(r22627, r22631);
        double r22634 = r22632 - r22633;
        return r22634;
}


double f_of(float x, float n) {
        float r22635 = 1;
        float r22636 = n;
        float r22637 = r22635 / r22636;
        float r22638 = -3.6227047746916703e-09;
        bool r22639 = r22637 <= r22638;
        float r22640 = x;
        float r22641 = r22640 + r22635;
        float r22642 = pow(r22641, r22637);
        float r22643 = pow(r22640, r22637);
        float r22644 = r22642 - r22643;
        float r22645 = cbrt(r22644);
        float r22646 = r22645 * r22645;
        float r22647 = 3;
        float r22648 = pow(r22643, r22647);
        float r22649 = cbrt(r22648);
        float r22650 = r22642 - r22649;
        float r22651 = cbrt(r22650);
        float r22652 = r22646 * r22651;
        float r22653 = 2.6051594709856815e-19;
        bool r22654 = r22637 <= r22653;
        float r22655 = r22640 * r22636;
        float r22656 = r22635 / r22655;
        float r22657 = 1/2;
        float r22658 = r22657 / r22640;
        float r22659 = r22658 / r22655;
        float r22660 = r22656 - r22659;
        float r22661 = log(r22640);
        float r22662 = r22661 / r22636;
        float r22663 = r22662 / r22655;
        float r22664 = r22660 - r22663;
        float r22665 = log1p(r22640);
        float r22666 = r22665 / r22636;
        float r22667 = exp(r22666);
        float r22668 = r22667 - r22643;
        float r22669 = r22654 ? r22664 : r22668;
        float r22670 = r22639 ? r22652 : r22669;
        return r22670;
}

double f_od(double x, double n) {
        double r22671 = 1;
        double r22672 = n;
        double r22673 = r22671 / r22672;
        double r22674 = -3.6227047746916703e-09;
        bool r22675 = r22673 <= r22674;
        double r22676 = x;
        double r22677 = r22676 + r22671;
        double r22678 = pow(r22677, r22673);
        double r22679 = pow(r22676, r22673);
        double r22680 = r22678 - r22679;
        double r22681 = cbrt(r22680);
        double r22682 = r22681 * r22681;
        double r22683 = 3;
        double r22684 = pow(r22679, r22683);
        double r22685 = cbrt(r22684);
        double r22686 = r22678 - r22685;
        double r22687 = cbrt(r22686);
        double r22688 = r22682 * r22687;
        double r22689 = 2.6051594709856815e-19;
        bool r22690 = r22673 <= r22689;
        double r22691 = r22676 * r22672;
        double r22692 = r22671 / r22691;
        double r22693 = 1/2;
        double r22694 = r22693 / r22676;
        double r22695 = r22694 / r22691;
        double r22696 = r22692 - r22695;
        double r22697 = log(r22676);
        double r22698 = r22697 / r22672;
        double r22699 = r22698 / r22691;
        double r22700 = r22696 - r22699;
        double r22701 = log1p(r22676);
        double r22702 = r22701 / r22672;
        double r22703 = exp(r22702);
        double r22704 = r22703 - r22679;
        double r22705 = r22690 ? r22700 : r22704;
        double r22706 = r22675 ? r22688 : r22705;
        return r22706;
}

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 r22707, r22708, r22709, r22710, r22711, r22712, r22713, r22714;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22707);
        mpfr_init_set_str(r22708, "1", 10, MPFR_RNDN);
        mpfr_init(r22709);
        mpfr_init(r22710);
        mpfr_init(r22711);
        mpfr_init(r22712);
        mpfr_init(r22713);
        mpfr_init(r22714);
}

double f_im(double x, double n) {
        mpfr_set_d(r22707, x, MPFR_RNDN);
        ;
        mpfr_add(r22709, r22707, r22708, MPFR_RNDN);
        mpfr_set_d(r22710, n, MPFR_RNDN);
        mpfr_div(r22711, r22708, r22710, MPFR_RNDN);
        mpfr_pow(r22712, r22709, r22711, MPFR_RNDN);
        mpfr_pow(r22713, r22707, r22711, MPFR_RNDN);
        mpfr_sub(r22714, r22712, r22713, MPFR_RNDN);
        return mpfr_get_d(r22714, MPFR_RNDN);
}

static mpfr_t r22715, r22716, r22717, r22718, r22719, r22720, r22721, r22722, r22723, r22724, r22725, r22726, r22727, r22728, r22729, r22730, r22731, r22732, r22733, r22734, r22735, r22736, r22737, r22738, r22739, r22740, r22741, r22742, r22743, r22744, r22745, r22746, r22747, r22748, r22749, r22750;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22715, "1", 10, MPFR_RNDN);
        mpfr_init(r22716);
        mpfr_init(r22717);
        mpfr_init_set_str(r22718, "-3.6227047746916703e-09", 10, MPFR_RNDN);
        mpfr_init(r22719);
        mpfr_init(r22720);
        mpfr_init(r22721);
        mpfr_init(r22722);
        mpfr_init(r22723);
        mpfr_init(r22724);
        mpfr_init(r22725);
        mpfr_init(r22726);
        mpfr_init_set_str(r22727, "3", 10, MPFR_RNDN);
        mpfr_init(r22728);
        mpfr_init(r22729);
        mpfr_init(r22730);
        mpfr_init(r22731);
        mpfr_init(r22732);
        mpfr_init_set_str(r22733, "2.6051594709856815e-19", 10, MPFR_RNDN);
        mpfr_init(r22734);
        mpfr_init(r22735);
        mpfr_init(r22736);
        mpfr_init_set_str(r22737, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22738);
        mpfr_init(r22739);
        mpfr_init(r22740);
        mpfr_init(r22741);
        mpfr_init(r22742);
        mpfr_init(r22743);
        mpfr_init(r22744);
        mpfr_init(r22745);
        mpfr_init(r22746);
        mpfr_init(r22747);
        mpfr_init(r22748);
        mpfr_init(r22749);
        mpfr_init(r22750);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r22716, n, MPFR_RNDN);
        mpfr_div(r22717, r22715, r22716, MPFR_RNDN);
        ;
        mpfr_set_si(r22719, mpfr_cmp(r22717, r22718) <= 0, MPFR_RNDN);
        mpfr_set_d(r22720, x, MPFR_RNDN);
        mpfr_add(r22721, r22720, r22715, MPFR_RNDN);
        mpfr_pow(r22722, r22721, r22717, MPFR_RNDN);
        mpfr_pow(r22723, r22720, r22717, MPFR_RNDN);
        mpfr_sub(r22724, r22722, r22723, MPFR_RNDN);
        mpfr_cbrt(r22725, r22724, MPFR_RNDN);
        mpfr_mul(r22726, r22725, r22725, MPFR_RNDN);
        ;
        mpfr_pow(r22728, r22723, r22727, MPFR_RNDN);
        mpfr_cbrt(r22729, r22728, MPFR_RNDN);
        mpfr_sub(r22730, r22722, r22729, MPFR_RNDN);
        mpfr_cbrt(r22731, r22730, MPFR_RNDN);
        mpfr_mul(r22732, r22726, r22731, MPFR_RNDN);
        ;
        mpfr_set_si(r22734, mpfr_cmp(r22717, r22733) <= 0, MPFR_RNDN);
        mpfr_mul(r22735, r22720, r22716, MPFR_RNDN);
        mpfr_div(r22736, r22715, r22735, MPFR_RNDN);
        ;
        mpfr_div(r22738, r22737, r22720, MPFR_RNDN);
        mpfr_div(r22739, r22738, r22735, MPFR_RNDN);
        mpfr_sub(r22740, r22736, r22739, MPFR_RNDN);
        mpfr_log(r22741, r22720, MPFR_RNDN);
        mpfr_div(r22742, r22741, r22716, MPFR_RNDN);
        mpfr_div(r22743, r22742, r22735, MPFR_RNDN);
        mpfr_sub(r22744, r22740, r22743, MPFR_RNDN);
        mpfr_log1p(r22745, r22720, MPFR_RNDN);
        mpfr_div(r22746, r22745, r22716, MPFR_RNDN);
        mpfr_exp(r22747, r22746, MPFR_RNDN);
        mpfr_sub(r22748, r22747, r22723, MPFR_RNDN);
        if (mpfr_get_si(r22734, MPFR_RNDN)) { mpfr_set(r22749, r22744, MPFR_RNDN); } else { mpfr_set(r22749, r22748, MPFR_RNDN); };
        if (mpfr_get_si(r22719, MPFR_RNDN)) { mpfr_set(r22750, r22732, MPFR_RNDN); } else { mpfr_set(r22750, r22749, MPFR_RNDN); };
        return mpfr_get_d(r22750, MPFR_RNDN);
}

static mpfr_t r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760, r22761, r22762, r22763, r22764, r22765, r22766, r22767, r22768, r22769, r22770, r22771, r22772, r22773, r22774, r22775, r22776, r22777, r22778, r22779, r22780, r22781, r22782, r22783, r22784, r22785, r22786;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22751, "1", 10, MPFR_RNDN);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init_set_str(r22754, "-3.6227047746916703e-09", 10, MPFR_RNDN);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
        mpfr_init(r22758);
        mpfr_init(r22759);
        mpfr_init(r22760);
        mpfr_init(r22761);
        mpfr_init(r22762);
        mpfr_init_set_str(r22763, "3", 10, MPFR_RNDN);
        mpfr_init(r22764);
        mpfr_init(r22765);
        mpfr_init(r22766);
        mpfr_init(r22767);
        mpfr_init(r22768);
        mpfr_init_set_str(r22769, "2.6051594709856815e-19", 10, MPFR_RNDN);
        mpfr_init(r22770);
        mpfr_init(r22771);
        mpfr_init(r22772);
        mpfr_init_set_str(r22773, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22774);
        mpfr_init(r22775);
        mpfr_init(r22776);
        mpfr_init(r22777);
        mpfr_init(r22778);
        mpfr_init(r22779);
        mpfr_init(r22780);
        mpfr_init(r22781);
        mpfr_init(r22782);
        mpfr_init(r22783);
        mpfr_init(r22784);
        mpfr_init(r22785);
        mpfr_init(r22786);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r22752, n, MPFR_RNDN);
        mpfr_div(r22753, r22751, r22752, MPFR_RNDN);
        ;
        mpfr_set_si(r22755, mpfr_cmp(r22753, r22754) <= 0, MPFR_RNDN);
        mpfr_set_d(r22756, x, MPFR_RNDN);
        mpfr_add(r22757, r22756, r22751, MPFR_RNDN);
        mpfr_pow(r22758, r22757, r22753, MPFR_RNDN);
        mpfr_pow(r22759, r22756, r22753, MPFR_RNDN);
        mpfr_sub(r22760, r22758, r22759, MPFR_RNDN);
        mpfr_cbrt(r22761, r22760, MPFR_RNDN);
        mpfr_mul(r22762, r22761, r22761, MPFR_RNDN);
        ;
        mpfr_pow(r22764, r22759, r22763, MPFR_RNDN);
        mpfr_cbrt(r22765, r22764, MPFR_RNDN);
        mpfr_sub(r22766, r22758, r22765, MPFR_RNDN);
        mpfr_cbrt(r22767, r22766, MPFR_RNDN);
        mpfr_mul(r22768, r22762, r22767, MPFR_RNDN);
        ;
        mpfr_set_si(r22770, mpfr_cmp(r22753, r22769) <= 0, MPFR_RNDN);
        mpfr_mul(r22771, r22756, r22752, MPFR_RNDN);
        mpfr_div(r22772, r22751, r22771, MPFR_RNDN);
        ;
        mpfr_div(r22774, r22773, r22756, MPFR_RNDN);
        mpfr_div(r22775, r22774, r22771, MPFR_RNDN);
        mpfr_sub(r22776, r22772, r22775, MPFR_RNDN);
        mpfr_log(r22777, r22756, MPFR_RNDN);
        mpfr_div(r22778, r22777, r22752, MPFR_RNDN);
        mpfr_div(r22779, r22778, r22771, MPFR_RNDN);
        mpfr_sub(r22780, r22776, r22779, MPFR_RNDN);
        mpfr_log1p(r22781, r22756, MPFR_RNDN);
        mpfr_div(r22782, r22781, r22752, MPFR_RNDN);
        mpfr_exp(r22783, r22782, MPFR_RNDN);
        mpfr_sub(r22784, r22783, r22759, MPFR_RNDN);
        if (mpfr_get_si(r22770, MPFR_RNDN)) { mpfr_set(r22785, r22780, MPFR_RNDN); } else { mpfr_set(r22785, r22784, MPFR_RNDN); };
        if (mpfr_get_si(r22755, MPFR_RNDN)) { mpfr_set(r22786, r22768, MPFR_RNDN); } else { mpfr_set(r22786, r22785, MPFR_RNDN); };
        return mpfr_get_d(r22786, MPFR_RNDN);
}