#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 = -91874156718365.66f;
        bool r14713 = r14711 <= r14712;
        float r14714 = 1.0f;
        float r14715 = r14714 / r14711;
        float r14716 = x;
        float r14717 = r14715 / r14716;
        float r14718 = 0.5f;
        float r14719 = r14716 * r14716;
        float r14720 = r14719 * r14711;
        float r14721 = r14718 / r14720;
        float r14722 = r14717 - r14721;
        float r14723 = log(r14716);
        float r14724 = r14711 * r14711;
        float r14725 = r14716 * r14724;
        float r14726 = r14723 / r14725;
        float r14727 = r14722 + r14726;
        float r14728 = 1.888112624037396e+21f;
        bool r14729 = r14711 <= r14728;
        float r14730 = log1p(r14716);
        float r14731 = r14730 / r14711;
        float r14732 = exp(r14731);
        float r14733 = pow(r14716, r14715);
        float r14734 = r14732 - r14733;
        float r14735 = r14729 ? r14734 : r14727;
        float r14736 = r14713 ? r14727 : r14735;
        return r14736;
}

double f_od(double x, double n) {
        double r14737 = n;
        double r14738 = -91874156718365.66;
        bool r14739 = r14737 <= r14738;
        double r14740 = 1.0;
        double r14741 = r14740 / r14737;
        double r14742 = x;
        double r14743 = r14741 / r14742;
        double r14744 = 0.5;
        double r14745 = r14742 * r14742;
        double r14746 = r14745 * r14737;
        double r14747 = r14744 / r14746;
        double r14748 = r14743 - r14747;
        double r14749 = log(r14742);
        double r14750 = r14737 * r14737;
        double r14751 = r14742 * r14750;
        double r14752 = r14749 / r14751;
        double r14753 = r14748 + r14752;
        double r14754 = 1.888112624037396e+21;
        bool r14755 = r14737 <= r14754;
        double r14756 = log1p(r14742);
        double r14757 = r14756 / r14737;
        double r14758 = exp(r14757);
        double r14759 = pow(r14742, r14741);
        double r14760 = r14758 - r14759;
        double r14761 = r14755 ? r14760 : r14753;
        double r14762 = r14739 ? r14753 : r14761;
        return r14762;
}

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 r14763, r14764, r14765, r14766, r14767, r14768, r14769, r14770;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r14763);
        mpfr_init_set_str(r14764, "1", 10, MPFR_RNDN);
        mpfr_init(r14765);
        mpfr_init(r14766);
        mpfr_init(r14767);
        mpfr_init(r14768);
        mpfr_init(r14769);
        mpfr_init(r14770);
}

double f_im(double x, double n) {
        mpfr_set_d(r14763, x, MPFR_RNDN);
        ;
        mpfr_add(r14765, r14763, r14764, MPFR_RNDN);
        mpfr_set_d(r14766, n, MPFR_RNDN);
        mpfr_div(r14767, r14764, r14766, MPFR_RNDN);
        mpfr_pow(r14768, r14765, r14767, MPFR_RNDN);
        mpfr_pow(r14769, r14763, r14767, MPFR_RNDN);
        mpfr_sub(r14770, r14768, r14769, MPFR_RNDN);
        return mpfr_get_d(r14770, MPFR_RNDN);
}

static mpfr_t r14771, r14772, r14773, r14774, r14775, r14776, r14777, r14778, r14779, r14780, r14781, r14782, r14783, r14784, r14785, r14786, r14787, r14788, r14789, r14790, r14791, r14792, r14793, r14794, r14795, r14796;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14771);
        mpfr_init_set_str(r14772, "-91874156718365.66", 10, MPFR_RNDN);
        mpfr_init(r14773);
        mpfr_init_set_str(r14774, "1", 10, MPFR_RNDN);
        mpfr_init(r14775);
        mpfr_init(r14776);
        mpfr_init(r14777);
        mpfr_init_set_str(r14778, "1/2", 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(r14786);
        mpfr_init(r14787);
        mpfr_init_set_str(r14788, "1.888112624037396e+21", 10, MPFR_RNDN);
        mpfr_init(r14789);
        mpfr_init(r14790);
        mpfr_init(r14791);
        mpfr_init(r14792);
        mpfr_init(r14793);
        mpfr_init(r14794);
        mpfr_init(r14795);
        mpfr_init(r14796);
}

double f_fm(double x, double n) {
        mpfr_set_d(r14771, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14773, mpfr_cmp(r14771, r14772) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r14775, r14774, r14771, MPFR_RNDN);
        mpfr_set_d(r14776, x, MPFR_RNDN);
        mpfr_div(r14777, r14775, r14776, MPFR_RNDN);
        ;
        mpfr_sqr(r14779, r14776, MPFR_RNDN);
        mpfr_mul(r14780, r14779, r14771, MPFR_RNDN);
        mpfr_div(r14781, r14778, r14780, MPFR_RNDN);
        mpfr_sub(r14782, r14777, r14781, MPFR_RNDN);
        mpfr_log(r14783, r14776, MPFR_RNDN);
        mpfr_mul(r14784, r14771, r14771, MPFR_RNDN);
        mpfr_mul(r14785, r14776, r14784, MPFR_RNDN);
        mpfr_div(r14786, r14783, r14785, MPFR_RNDN);
        mpfr_add(r14787, r14782, r14786, MPFR_RNDN);
        ;
        mpfr_set_si(r14789, mpfr_cmp(r14771, r14788) <= 0, MPFR_RNDN);
        mpfr_log1p(r14790, r14776, MPFR_RNDN);
        mpfr_div(r14791, r14790, r14771, MPFR_RNDN);
        mpfr_exp(r14792, r14791, MPFR_RNDN);
        mpfr_pow(r14793, r14776, r14775, MPFR_RNDN);
        mpfr_sub(r14794, r14792, r14793, MPFR_RNDN);
        if (mpfr_get_si(r14789, MPFR_RNDN)) { mpfr_set(r14795, r14794, MPFR_RNDN); } else { mpfr_set(r14795, r14787, MPFR_RNDN); };
        if (mpfr_get_si(r14773, MPFR_RNDN)) { mpfr_set(r14796, r14787, MPFR_RNDN); } else { mpfr_set(r14796, r14795, MPFR_RNDN); };
        return mpfr_get_d(r14796, MPFR_RNDN);
}

static mpfr_t r14797, r14798, r14799, r14800, r14801, r14802, r14803, r14804, r14805, r14806, r14807, r14808, r14809, r14810, r14811, r14812, r14813, r14814, r14815, r14816, r14817, r14818, r14819, r14820, r14821, r14822;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14797);
        mpfr_init_set_str(r14798, "-91874156718365.66", 10, MPFR_RNDN);
        mpfr_init(r14799);
        mpfr_init_set_str(r14800, "1", 10, MPFR_RNDN);
        mpfr_init(r14801);
        mpfr_init(r14802);
        mpfr_init(r14803);
        mpfr_init_set_str(r14804, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14805);
        mpfr_init(r14806);
        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, "1.888112624037396e+21", 10, MPFR_RNDN);
        mpfr_init(r14815);
        mpfr_init(r14816);
        mpfr_init(r14817);
        mpfr_init(r14818);
        mpfr_init(r14819);
        mpfr_init(r14820);
        mpfr_init(r14821);
        mpfr_init(r14822);
}

double f_dm(double x, double n) {
        mpfr_set_d(r14797, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14799, mpfr_cmp(r14797, r14798) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r14801, r14800, r14797, MPFR_RNDN);
        mpfr_set_d(r14802, x, MPFR_RNDN);
        mpfr_div(r14803, r14801, r14802, MPFR_RNDN);
        ;
        mpfr_sqr(r14805, r14802, MPFR_RNDN);
        mpfr_mul(r14806, r14805, r14797, MPFR_RNDN);
        mpfr_div(r14807, r14804, r14806, MPFR_RNDN);
        mpfr_sub(r14808, r14803, r14807, MPFR_RNDN);
        mpfr_log(r14809, r14802, MPFR_RNDN);
        mpfr_mul(r14810, r14797, r14797, MPFR_RNDN);
        mpfr_mul(r14811, r14802, r14810, MPFR_RNDN);
        mpfr_div(r14812, r14809, r14811, MPFR_RNDN);
        mpfr_add(r14813, r14808, r14812, MPFR_RNDN);
        ;
        mpfr_set_si(r14815, mpfr_cmp(r14797, r14814) <= 0, MPFR_RNDN);
        mpfr_log1p(r14816, r14802, MPFR_RNDN);
        mpfr_div(r14817, r14816, r14797, MPFR_RNDN);
        mpfr_exp(r14818, r14817, MPFR_RNDN);
        mpfr_pow(r14819, r14802, r14801, MPFR_RNDN);
        mpfr_sub(r14820, r14818, r14819, MPFR_RNDN);
        if (mpfr_get_si(r14815, MPFR_RNDN)) { mpfr_set(r14821, r14820, MPFR_RNDN); } else { mpfr_set(r14821, r14813, MPFR_RNDN); };
        if (mpfr_get_si(r14799, MPFR_RNDN)) { mpfr_set(r14822, r14813, MPFR_RNDN); } else { mpfr_set(r14822, r14821, MPFR_RNDN); };
        return mpfr_get_d(r14822, MPFR_RNDN);
}