#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 = -215410624.0f;
        bool r14713 = r14711 <= r14712;
        float r14714 = 1.0f;
        float r14715 = x;
        float r14716 = r14714 / r14715;
        float r14717 = log1p(r14716);
        float r14718 = r14714 / r14711;
        float r14719 = r14717 * r14718;
        float r14720 = r14717 / r14711;
        float r14721 = 0.5f;
        float r14722 = fma(r14720, r14721, r14714);
        float r14723 = pow(r14715, r14718);
        float r14724 = r14714 - r14723;
        float r14725 = fma(r14719, r14722, r14724);
        float r14726 = 1489495936.0f;
        bool r14727 = r14711 <= r14726;
        float r14728 = log1p(r14715);
        float r14729 = r14728 / r14711;
        float r14730 = exp(r14729);
        float r14731 = r14730 - r14723;
        float r14732 = cbrt(r14731);
        float r14733 = r14732 * (r14732 * r14732);
        float r14734 = r14727 ? r14733 : r14725;
        float r14735 = r14713 ? r14725 : r14734;
        return r14735;
}

double f_od(double x, double n) {
        double r14736 = n;
        double r14737 = -215410624.0;
        bool r14738 = r14736 <= r14737;
        double r14739 = 1.0;
        double r14740 = x;
        double r14741 = r14739 / r14740;
        double r14742 = log1p(r14741);
        double r14743 = r14739 / r14736;
        double r14744 = r14742 * r14743;
        double r14745 = r14742 / r14736;
        double r14746 = 0.5;
        double r14747 = fma(r14745, r14746, r14739);
        double r14748 = pow(r14740, r14743);
        double r14749 = r14739 - r14748;
        double r14750 = fma(r14744, r14747, r14749);
        double r14751 = 1489495936.0;
        bool r14752 = r14736 <= r14751;
        double r14753 = log1p(r14740);
        double r14754 = r14753 / r14736;
        double r14755 = exp(r14754);
        double r14756 = r14755 - r14748;
        double r14757 = cbrt(r14756);
        double r14758 = r14757 * (r14757 * r14757);
        double r14759 = r14752 ? r14758 : r14750;
        double r14760 = r14738 ? r14750 : r14759;
        return r14760;
}

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 r14761, r14762, r14763, r14764, r14765, r14766, r14767, r14768;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r14761);
        mpfr_init_set_str(r14762, "1", 10, MPFR_RNDN);
        mpfr_init(r14763);
        mpfr_init(r14764);
        mpfr_init(r14765);
        mpfr_init(r14766);
        mpfr_init(r14767);
        mpfr_init(r14768);
}

double f_im(double x, double n) {
        mpfr_set_d(r14761, x, MPFR_RNDN);
        ;
        mpfr_add(r14763, r14761, r14762, MPFR_RNDN);
        mpfr_set_d(r14764, n, MPFR_RNDN);
        mpfr_div(r14765, r14762, r14764, MPFR_RNDN);
        mpfr_pow(r14766, r14763, r14765, MPFR_RNDN);
        mpfr_pow(r14767, r14761, r14765, MPFR_RNDN);
        mpfr_sub(r14768, r14766, r14767, MPFR_RNDN);
        return mpfr_get_d(r14768, MPFR_RNDN);
}

static mpfr_t r14769, r14770, r14771, r14772, r14773, r14774, r14775, r14776, r14777, r14778, r14779, r14780, r14781, r14782, r14783, r14784, r14785, r14786, r14787, r14788, r14789, r14790, r14791, r14792, r14793;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14769);
        mpfr_init_set_str(r14770, "-2.1541062f+08", 10, MPFR_RNDN);
        mpfr_init(r14771);
        mpfr_init_set_str(r14772, "1", 10, MPFR_RNDN);
        mpfr_init(r14773);
        mpfr_init(r14774);
        mpfr_init(r14775);
        mpfr_init(r14776);
        mpfr_init(r14777);
        mpfr_init(r14778);
        mpfr_init_set_str(r14779, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14780);
        mpfr_init(r14781);
        mpfr_init(r14782);
        mpfr_init(r14783);
        mpfr_init_set_str(r14784, "1.4894959f+09", 10, MPFR_RNDN);
        mpfr_init(r14785);
        mpfr_init(r14786);
        mpfr_init(r14787);
        mpfr_init(r14788);
        mpfr_init(r14789);
        mpfr_init(r14790);
        mpfr_init(r14791);
        mpfr_init(r14792);
        mpfr_init(r14793);
}

double f_fm(double x, double n) {
        mpfr_set_d(r14769, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14771, mpfr_cmp(r14769, r14770) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r14773, x, MPFR_RNDN);
        mpfr_div(r14774, r14772, r14773, MPFR_RNDN);
        mpfr_log1p(r14775, r14774, MPFR_RNDN);
        mpfr_div(r14776, r14772, r14769, MPFR_RNDN);
        mpfr_mul(r14777, r14775, r14776, MPFR_RNDN);
        mpfr_div(r14778, r14775, r14769, MPFR_RNDN);
        ;
        mpfr_fma(r14780, r14778, r14779, r14772, MPFR_RNDN);
        mpfr_pow(r14781, r14773, r14776, MPFR_RNDN);
        mpfr_sub(r14782, r14772, r14781, MPFR_RNDN);
        mpfr_fma(r14783, r14777, r14780, r14782, MPFR_RNDN);
        ;
        mpfr_set_si(r14785, mpfr_cmp(r14769, r14784) <= 0, MPFR_RNDN);
        mpfr_log1p(r14786, r14773, MPFR_RNDN);
        mpfr_div(r14787, r14786, r14769, MPFR_RNDN);
        mpfr_exp(r14788, r14787, MPFR_RNDN);
        mpfr_sub(r14789, r14788, r14781, MPFR_RNDN);
        mpfr_cbrt(r14790, r14789, MPFR_RNDN);
        mpfr_mul(r14791, r14790, r14790, MPFR_RNDN); mpfr_mul(r14791, r14791, r14790, MPFR_RNDN);
        if (mpfr_get_si(r14785, MPFR_RNDN)) { mpfr_set(r14792, r14791, MPFR_RNDN); } else { mpfr_set(r14792, r14783, MPFR_RNDN); };
        if (mpfr_get_si(r14771, MPFR_RNDN)) { mpfr_set(r14793, r14783, MPFR_RNDN); } else { mpfr_set(r14793, r14792, MPFR_RNDN); };
        return mpfr_get_d(r14793, MPFR_RNDN);
}

static mpfr_t r14794, r14795, r14796, r14797, r14798, r14799, r14800, r14801, r14802, r14803, r14804, r14805, r14806, r14807, r14808, r14809, r14810, r14811, r14812, r14813, r14814, r14815, r14816, r14817, r14818;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14794);
        mpfr_init_set_str(r14795, "-2.1541062f+08", 10, MPFR_RNDN);
        mpfr_init(r14796);
        mpfr_init_set_str(r14797, "1", 10, MPFR_RNDN);
        mpfr_init(r14798);
        mpfr_init(r14799);
        mpfr_init(r14800);
        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_set_str(r14809, "1.4894959f+09", 10, MPFR_RNDN);
        mpfr_init(r14810);
        mpfr_init(r14811);
        mpfr_init(r14812);
        mpfr_init(r14813);
        mpfr_init(r14814);
        mpfr_init(r14815);
        mpfr_init(r14816);
        mpfr_init(r14817);
        mpfr_init(r14818);
}

double f_dm(double x, double n) {
        mpfr_set_d(r14794, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14796, mpfr_cmp(r14794, r14795) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r14798, x, MPFR_RNDN);
        mpfr_div(r14799, r14797, r14798, MPFR_RNDN);
        mpfr_log1p(r14800, r14799, MPFR_RNDN);
        mpfr_div(r14801, r14797, r14794, MPFR_RNDN);
        mpfr_mul(r14802, r14800, r14801, MPFR_RNDN);
        mpfr_div(r14803, r14800, r14794, MPFR_RNDN);
        ;
        mpfr_fma(r14805, r14803, r14804, r14797, MPFR_RNDN);
        mpfr_pow(r14806, r14798, r14801, MPFR_RNDN);
        mpfr_sub(r14807, r14797, r14806, MPFR_RNDN);
        mpfr_fma(r14808, r14802, r14805, r14807, MPFR_RNDN);
        ;
        mpfr_set_si(r14810, mpfr_cmp(r14794, r14809) <= 0, MPFR_RNDN);
        mpfr_log1p(r14811, r14798, MPFR_RNDN);
        mpfr_div(r14812, r14811, r14794, MPFR_RNDN);
        mpfr_exp(r14813, r14812, MPFR_RNDN);
        mpfr_sub(r14814, r14813, r14806, MPFR_RNDN);
        mpfr_cbrt(r14815, r14814, MPFR_RNDN);
        mpfr_mul(r14816, r14815, r14815, MPFR_RNDN); mpfr_mul(r14816, r14816, r14815, MPFR_RNDN);
        if (mpfr_get_si(r14810, MPFR_RNDN)) { mpfr_set(r14817, r14816, MPFR_RNDN); } else { mpfr_set(r14817, r14808, MPFR_RNDN); };
        if (mpfr_get_si(r14796, MPFR_RNDN)) { mpfr_set(r14818, r14808, MPFR_RNDN); } else { mpfr_set(r14818, r14817, MPFR_RNDN); };
        return mpfr_get_d(r14818, MPFR_RNDN);
}