#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE problem 3.4.6";

double f_if(float x, float n) {
        float r14695 = x;
        float r14696 = 1.0f;
        float r14697 = r14695 + r14696;
        float r14698 = n;
        float r14699 = r14696 / r14698;
        float r14700 = pow(r14697, r14699);
        float r14701 = pow(r14695, r14699);
        float r14702 = r14700 - r14701;
        return r14702;
}

double f_id(double x, double n) {
        double r14703 = x;
        double r14704 = 1.0;
        double r14705 = r14703 + r14704;
        double r14706 = n;
        double r14707 = r14704 / r14706;
        double r14708 = pow(r14705, r14707);
        double r14709 = pow(r14703, r14707);
        double r14710 = r14708 - r14709;
        return r14710;
}


double f_of(float x, float n) {
        float r14711 = n;
        float r14712 = -846584004.9676423f;
        bool r14713 = r14711 <= r14712;
        float r14714 = 1.0f;
        float r14715 = x;
        float r14716 = r14711 * r14715;
        float r14717 = r14714 / r14716;
        float r14718 = log(r14715);
        float r14719 = r14711 * r14711;
        float r14720 = r14719 * r14715;
        float r14721 = r14718 / r14720;
        float r14722 = 0.5f;
        float r14723 = r14715 * r14715;
        float r14724 = r14711 * r14723;
        float r14725 = r14714 / r14724;
        float r14726 = r14722 * r14725;
        float r14727 = r14721 + r14726;
        float r14728 = r14717 - r14727;
        float r14729 = 1.669989136040372e+22f;
        bool r14730 = r14711 <= r14729;
        float r14731 = log1p(r14715);
        float r14732 = r14731 / r14711;
        float r14733 = exp(r14732);
        float r14734 = r14714 / r14711;
        float r14735 = pow(r14715, r14734);
        float r14736 = r14733 - r14735;
        float r14737 = r14730 ? r14736 : r14728;
        float r14738 = r14713 ? r14728 : r14737;
        return r14738;
}

double f_od(double x, double n) {
        double r14739 = n;
        double r14740 = -846584004.9676423;
        bool r14741 = r14739 <= r14740;
        double r14742 = 1.0;
        double r14743 = x;
        double r14744 = r14739 * r14743;
        double r14745 = r14742 / r14744;
        double r14746 = log(r14743);
        double r14747 = r14739 * r14739;
        double r14748 = r14747 * r14743;
        double r14749 = r14746 / r14748;
        double r14750 = 0.5;
        double r14751 = r14743 * r14743;
        double r14752 = r14739 * r14751;
        double r14753 = r14742 / r14752;
        double r14754 = r14750 * r14753;
        double r14755 = r14749 + r14754;
        double r14756 = r14745 - r14755;
        double r14757 = 1.669989136040372e+22;
        bool r14758 = r14739 <= r14757;
        double r14759 = log1p(r14743);
        double r14760 = r14759 / r14739;
        double r14761 = exp(r14760);
        double r14762 = r14742 / r14739;
        double r14763 = pow(r14743, r14762);
        double r14764 = r14761 - r14763;
        double r14765 = r14758 ? r14764 : r14756;
        double r14766 = r14741 ? r14756 : r14765;
        return r14766;
}

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 r14767, r14768, r14769, r14770, r14771, r14772, r14773, r14774;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r14767);
        mpfr_init_set_str(r14768, "1", 10, MPFR_RNDN);
        mpfr_init(r14769);
        mpfr_init(r14770);
        mpfr_init(r14771);
        mpfr_init(r14772);
        mpfr_init(r14773);
        mpfr_init(r14774);
}

double f_im(double x, double n) {
        mpfr_set_d(r14767, x, MPFR_RNDN);
        ;
        mpfr_add(r14769, r14767, r14768, MPFR_RNDN);
        mpfr_set_d(r14770, n, MPFR_RNDN);
        mpfr_div(r14771, r14768, r14770, MPFR_RNDN);
        mpfr_pow(r14772, r14769, r14771, MPFR_RNDN);
        mpfr_pow(r14773, r14767, r14771, MPFR_RNDN);
        mpfr_sub(r14774, r14772, r14773, MPFR_RNDN);
        return mpfr_get_d(r14774, MPFR_RNDN);
}

static mpfr_t r14775, r14776, r14777, r14778, r14779, r14780, r14781, r14782, r14783, r14784, r14785, r14786, r14787, r14788, r14789, r14790, r14791, r14792, r14793, r14794, r14795, r14796, r14797, r14798, r14799, r14800, r14801, r14802;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14775);
        mpfr_init_set_str(r14776, "-846584004.9676423", 10, MPFR_RNDN);
        mpfr_init(r14777);
        mpfr_init_set_str(r14778, "1", 10, MPFR_RNDN);
        mpfr_init(r14779);
        mpfr_init(r14780);
        mpfr_init(r14781);
        mpfr_init(r14782);
        mpfr_init(r14783);
        mpfr_init(r14784);
        mpfr_init(r14785);
        mpfr_init_set_str(r14786, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14787);
        mpfr_init(r14788);
        mpfr_init(r14789);
        mpfr_init(r14790);
        mpfr_init(r14791);
        mpfr_init(r14792);
        mpfr_init_set_str(r14793, "1.669989136040372e+22", 10, MPFR_RNDN);
        mpfr_init(r14794);
        mpfr_init(r14795);
        mpfr_init(r14796);
        mpfr_init(r14797);
        mpfr_init(r14798);
        mpfr_init(r14799);
        mpfr_init(r14800);
        mpfr_init(r14801);
        mpfr_init(r14802);
}

double f_fm(double x, double n) {
        mpfr_set_d(r14775, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14777, mpfr_cmp(r14775, r14776) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r14779, x, MPFR_RNDN);
        mpfr_mul(r14780, r14775, r14779, MPFR_RNDN);
        mpfr_div(r14781, r14778, r14780, MPFR_RNDN);
        mpfr_log(r14782, r14779, MPFR_RNDN);
        mpfr_sqr(r14783, r14775, MPFR_RNDN);
        mpfr_mul(r14784, r14783, r14779, MPFR_RNDN);
        mpfr_div(r14785, r14782, r14784, MPFR_RNDN);
        ;
        mpfr_sqr(r14787, r14779, MPFR_RNDN);
        mpfr_mul(r14788, r14775, r14787, MPFR_RNDN);
        mpfr_div(r14789, r14778, r14788, MPFR_RNDN);
        mpfr_mul(r14790, r14786, r14789, MPFR_RNDN);
        mpfr_add(r14791, r14785, r14790, MPFR_RNDN);
        mpfr_sub(r14792, r14781, r14791, MPFR_RNDN);
        ;
        mpfr_set_si(r14794, mpfr_cmp(r14775, r14793) <= 0, MPFR_RNDN);
        mpfr_log1p(r14795, r14779, MPFR_RNDN);
        mpfr_div(r14796, r14795, r14775, MPFR_RNDN);
        mpfr_exp(r14797, r14796, MPFR_RNDN);
        mpfr_div(r14798, r14778, r14775, MPFR_RNDN);
        mpfr_pow(r14799, r14779, r14798, MPFR_RNDN);
        mpfr_sub(r14800, r14797, r14799, MPFR_RNDN);
        if (mpfr_get_si(r14794, MPFR_RNDN)) { mpfr_set(r14801, r14800, MPFR_RNDN); } else { mpfr_set(r14801, r14792, MPFR_RNDN); };
        if (mpfr_get_si(r14777, MPFR_RNDN)) { mpfr_set(r14802, r14792, MPFR_RNDN); } else { mpfr_set(r14802, r14801, MPFR_RNDN); };
        return mpfr_get_d(r14802, MPFR_RNDN);
}

static mpfr_t r14803, r14804, r14805, r14806, r14807, r14808, r14809, r14810, r14811, r14812, r14813, r14814, r14815, r14816, r14817, r14818, r14819, r14820, r14821, r14822, r14823, r14824, r14825, r14826, r14827, r14828, r14829, r14830;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14803);
        mpfr_init_set_str(r14804, "-846584004.9676423", 10, MPFR_RNDN);
        mpfr_init(r14805);
        mpfr_init_set_str(r14806, "1", 10, MPFR_RNDN);
        mpfr_init(r14807);
        mpfr_init(r14808);
        mpfr_init(r14809);
        mpfr_init(r14810);
        mpfr_init(r14811);
        mpfr_init(r14812);
        mpfr_init(r14813);
        mpfr_init_set_str(r14814, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14815);
        mpfr_init(r14816);
        mpfr_init(r14817);
        mpfr_init(r14818);
        mpfr_init(r14819);
        mpfr_init(r14820);
        mpfr_init_set_str(r14821, "1.669989136040372e+22", 10, MPFR_RNDN);
        mpfr_init(r14822);
        mpfr_init(r14823);
        mpfr_init(r14824);
        mpfr_init(r14825);
        mpfr_init(r14826);
        mpfr_init(r14827);
        mpfr_init(r14828);
        mpfr_init(r14829);
        mpfr_init(r14830);
}

double f_dm(double x, double n) {
        mpfr_set_d(r14803, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14805, mpfr_cmp(r14803, r14804) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r14807, x, MPFR_RNDN);
        mpfr_mul(r14808, r14803, r14807, MPFR_RNDN);
        mpfr_div(r14809, r14806, r14808, MPFR_RNDN);
        mpfr_log(r14810, r14807, MPFR_RNDN);
        mpfr_sqr(r14811, r14803, MPFR_RNDN);
        mpfr_mul(r14812, r14811, r14807, MPFR_RNDN);
        mpfr_div(r14813, r14810, r14812, MPFR_RNDN);
        ;
        mpfr_sqr(r14815, r14807, MPFR_RNDN);
        mpfr_mul(r14816, r14803, r14815, MPFR_RNDN);
        mpfr_div(r14817, r14806, r14816, MPFR_RNDN);
        mpfr_mul(r14818, r14814, r14817, MPFR_RNDN);
        mpfr_add(r14819, r14813, r14818, MPFR_RNDN);
        mpfr_sub(r14820, r14809, r14819, MPFR_RNDN);
        ;
        mpfr_set_si(r14822, mpfr_cmp(r14803, r14821) <= 0, MPFR_RNDN);
        mpfr_log1p(r14823, r14807, MPFR_RNDN);
        mpfr_div(r14824, r14823, r14803, MPFR_RNDN);
        mpfr_exp(r14825, r14824, MPFR_RNDN);
        mpfr_div(r14826, r14806, r14803, MPFR_RNDN);
        mpfr_pow(r14827, r14807, r14826, MPFR_RNDN);
        mpfr_sub(r14828, r14825, r14827, MPFR_RNDN);
        if (mpfr_get_si(r14822, MPFR_RNDN)) { mpfr_set(r14829, r14828, MPFR_RNDN); } else { mpfr_set(r14829, r14820, MPFR_RNDN); };
        if (mpfr_get_si(r14805, MPFR_RNDN)) { mpfr_set(r14830, r14820, MPFR_RNDN); } else { mpfr_set(r14830, r14829, MPFR_RNDN); };
        return mpfr_get_d(r14830, MPFR_RNDN);
}