#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 r22648 = x;
        float r22649 = 1;
        float r22650 = r22648 + r22649;
        float r22651 = n;
        float r22652 = r22649 / r22651;
        float r22653 = pow(r22650, r22652);
        float r22654 = pow(r22648, r22652);
        float r22655 = r22653 - r22654;
        return r22655;
}

double f_id(double x, double n) {
        double r22656 = x;
        double r22657 = 1;
        double r22658 = r22656 + r22657;
        double r22659 = n;
        double r22660 = r22657 / r22659;
        double r22661 = pow(r22658, r22660);
        double r22662 = pow(r22656, r22660);
        double r22663 = r22661 - r22662;
        return r22663;
}


double f_of(float x, float n) {
        float r22664 = 1;
        float r22665 = n;
        float r22666 = r22664 / r22665;
        float r22667 = -3.6227047746916703e-09;
        bool r22668 = r22666 <= r22667;
        float r22669 = x;
        float r22670 = log1p(r22669);
        float r22671 = r22670 / r22665;
        float r22672 = exp(r22671);
        float r22673 = pow(r22669, r22666);
        float r22674 = r22672 - r22673;
        float r22675 = 2.6051594709856815e-19;
        bool r22676 = r22666 <= r22675;
        float r22677 = r22669 * r22665;
        float r22678 = r22664 / r22677;
        float r22679 = 1/2;
        float r22680 = r22679 / r22669;
        float r22681 = r22680 / r22677;
        float r22682 = r22678 - r22681;
        float r22683 = log(r22669);
        float r22684 = r22683 / r22665;
        float r22685 = r22684 / r22677;
        float r22686 = r22682 - r22685;
        float r22687 = r22676 ? r22686 : r22674;
        float r22688 = r22668 ? r22674 : r22687;
        return r22688;
}

double f_od(double x, double n) {
        double r22689 = 1;
        double r22690 = n;
        double r22691 = r22689 / r22690;
        double r22692 = -3.6227047746916703e-09;
        bool r22693 = r22691 <= r22692;
        double r22694 = x;
        double r22695 = log1p(r22694);
        double r22696 = r22695 / r22690;
        double r22697 = exp(r22696);
        double r22698 = pow(r22694, r22691);
        double r22699 = r22697 - r22698;
        double r22700 = 2.6051594709856815e-19;
        bool r22701 = r22691 <= r22700;
        double r22702 = r22694 * r22690;
        double r22703 = r22689 / r22702;
        double r22704 = 1/2;
        double r22705 = r22704 / r22694;
        double r22706 = r22705 / r22702;
        double r22707 = r22703 - r22706;
        double r22708 = log(r22694);
        double r22709 = r22708 / r22690;
        double r22710 = r22709 / r22702;
        double r22711 = r22707 - r22710;
        double r22712 = r22701 ? r22711 : r22699;
        double r22713 = r22693 ? r22699 : r22712;
        return r22713;
}

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 r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22714);
        mpfr_init_set_str(r22715, "1", 10, MPFR_RNDN);
        mpfr_init(r22716);
        mpfr_init(r22717);
        mpfr_init(r22718);
        mpfr_init(r22719);
        mpfr_init(r22720);
        mpfr_init(r22721);
}

double f_im(double x, double n) {
        mpfr_set_d(r22714, x, MPFR_RNDN);
        ;
        mpfr_add(r22716, r22714, r22715, MPFR_RNDN);
        mpfr_set_d(r22717, n, MPFR_RNDN);
        mpfr_div(r22718, r22715, r22717, MPFR_RNDN);
        mpfr_pow(r22719, r22716, r22718, MPFR_RNDN);
        mpfr_pow(r22720, r22714, r22718, MPFR_RNDN);
        mpfr_sub(r22721, r22719, r22720, MPFR_RNDN);
        return mpfr_get_d(r22721, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22722, "1", 10, MPFR_RNDN);
        mpfr_init(r22723);
        mpfr_init(r22724);
        mpfr_init_set_str(r22725, "-3.6227047746916703e-09", 10, MPFR_RNDN);
        mpfr_init(r22726);
        mpfr_init(r22727);
        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);
}

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

static mpfr_t r22747, r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760, r22761, r22762, r22763, r22764, r22765, r22766, r22767, r22768, r22769, r22770, r22771;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22747, "1", 10, MPFR_RNDN);
        mpfr_init(r22748);
        mpfr_init(r22749);
        mpfr_init_set_str(r22750, "-3.6227047746916703e-09", 10, MPFR_RNDN);
        mpfr_init(r22751);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init(r22754);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
        mpfr_init_set_str(r22758, "2.6051594709856815e-19", 10, MPFR_RNDN);
        mpfr_init(r22759);
        mpfr_init(r22760);
        mpfr_init(r22761);
        mpfr_init_set_str(r22762, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22763);
        mpfr_init(r22764);
        mpfr_init(r22765);
        mpfr_init(r22766);
        mpfr_init(r22767);
        mpfr_init(r22768);
        mpfr_init(r22769);
        mpfr_init(r22770);
        mpfr_init(r22771);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r22748, n, MPFR_RNDN);
        mpfr_div(r22749, r22747, r22748, MPFR_RNDN);
        ;
        mpfr_set_si(r22751, mpfr_cmp(r22749, r22750) <= 0, MPFR_RNDN);
        mpfr_set_d(r22752, x, MPFR_RNDN);
        mpfr_log1p(r22753, r22752, MPFR_RNDN);
        mpfr_div(r22754, r22753, r22748, MPFR_RNDN);
        mpfr_exp(r22755, r22754, MPFR_RNDN);
        mpfr_pow(r22756, r22752, r22749, MPFR_RNDN);
        mpfr_sub(r22757, r22755, r22756, MPFR_RNDN);
        ;
        mpfr_set_si(r22759, mpfr_cmp(r22749, r22758) <= 0, MPFR_RNDN);
        mpfr_mul(r22760, r22752, r22748, MPFR_RNDN);
        mpfr_div(r22761, r22747, r22760, MPFR_RNDN);
        ;
        mpfr_div(r22763, r22762, r22752, MPFR_RNDN);
        mpfr_div(r22764, r22763, r22760, MPFR_RNDN);
        mpfr_sub(r22765, r22761, r22764, MPFR_RNDN);
        mpfr_log(r22766, r22752, MPFR_RNDN);
        mpfr_div(r22767, r22766, r22748, MPFR_RNDN);
        mpfr_div(r22768, r22767, r22760, MPFR_RNDN);
        mpfr_sub(r22769, r22765, r22768, MPFR_RNDN);
        if (mpfr_get_si(r22759, MPFR_RNDN)) { mpfr_set(r22770, r22769, MPFR_RNDN); } else { mpfr_set(r22770, r22757, MPFR_RNDN); };
        if (mpfr_get_si(r22751, MPFR_RNDN)) { mpfr_set(r22771, r22757, MPFR_RNDN); } else { mpfr_set(r22771, r22770, MPFR_RNDN); };
        return mpfr_get_d(r22771, MPFR_RNDN);
}