#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 = 30110972.0f;
        bool r14713 = r14711 <= r14712;
        float r14714 = x;
        float r14715 = 1.0f;
        float r14716 = r14714 + r14715;
        float r14717 = r14715 / r14711;
        float r14718 = pow(r14716, r14717);
        float r14719 = pow(r14714, r14717);
        float r14720 = r14718 - r14719;
        float r14721 = cbrt(r14720);
        float r14722 = cbrt(r14721);
        float r14723 = r14722 * (r14722 * r14722);
        float r14724 = r14723 * (r14723 * r14723);
        float r14725 = r14711 * r14714;
        float r14726 = r14715 / r14725;
        float r14727 = 0.5f;
        float r14728 = r14727 / r14711;
        float r14729 = r14714 * r14714;
        float r14730 = r14728 / r14729;
        float r14731 = r14726 - r14730;
        float r14732 = log(r14714);
        float r14733 = r14732 / r14725;
        float r14734 = r14733 / r14711;
        float r14735 = r14731 - r14734;
        float r14736 = r14713 ? r14724 : r14735;
        return r14736;
}

double f_od(double x, double n) {
        double r14737 = n;
        double r14738 = 30110972.0;
        bool r14739 = r14737 <= r14738;
        double r14740 = x;
        double r14741 = 1.0;
        double r14742 = r14740 + r14741;
        double r14743 = r14741 / r14737;
        double r14744 = pow(r14742, r14743);
        double r14745 = pow(r14740, r14743);
        double r14746 = r14744 - r14745;
        double r14747 = cbrt(r14746);
        double r14748 = cbrt(r14747);
        double r14749 = r14748 * (r14748 * r14748);
        double r14750 = r14749 * (r14749 * r14749);
        double r14751 = r14737 * r14740;
        double r14752 = r14741 / r14751;
        double r14753 = 0.5;
        double r14754 = r14753 / r14737;
        double r14755 = r14740 * r14740;
        double r14756 = r14754 / r14755;
        double r14757 = r14752 - r14756;
        double r14758 = log(r14740);
        double r14759 = r14758 / r14751;
        double r14760 = r14759 / r14737;
        double r14761 = r14757 - r14760;
        double r14762 = r14739 ? r14750 : 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, "30110972.0f0", 10, MPFR_RNDN);
        mpfr_init(r14773);
        mpfr_init(r14774);
        mpfr_init_set_str(r14775, "1", 10, MPFR_RNDN);
        mpfr_init(r14776);
        mpfr_init(r14777);
        mpfr_init(r14778);
        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_set_str(r14787, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14788);
        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_set_d(r14774, x, MPFR_RNDN);
        ;
        mpfr_add(r14776, r14774, r14775, MPFR_RNDN);
        mpfr_div(r14777, r14775, r14771, MPFR_RNDN);
        mpfr_pow(r14778, r14776, r14777, MPFR_RNDN);
        mpfr_pow(r14779, r14774, r14777, MPFR_RNDN);
        mpfr_sub(r14780, r14778, r14779, MPFR_RNDN);
        mpfr_cbrt(r14781, r14780, MPFR_RNDN);
        mpfr_cbrt(r14782, r14781, MPFR_RNDN);
        mpfr_mul(r14783, r14782, r14782, MPFR_RNDN); mpfr_mul(r14783, r14783, r14782, MPFR_RNDN);
        mpfr_mul(r14784, r14783, r14783, MPFR_RNDN); mpfr_mul(r14784, r14784, r14783, MPFR_RNDN);
        mpfr_mul(r14785, r14771, r14774, MPFR_RNDN);
        mpfr_div(r14786, r14775, r14785, MPFR_RNDN);
        ;
        mpfr_div(r14788, r14787, r14771, MPFR_RNDN);
        mpfr_mul(r14789, r14774, r14774, MPFR_RNDN);
        mpfr_div(r14790, r14788, r14789, MPFR_RNDN);
        mpfr_sub(r14791, r14786, r14790, MPFR_RNDN);
        mpfr_log(r14792, r14774, MPFR_RNDN);
        mpfr_div(r14793, r14792, r14785, MPFR_RNDN);
        mpfr_div(r14794, r14793, r14771, MPFR_RNDN);
        mpfr_sub(r14795, r14791, r14794, MPFR_RNDN);
        if (mpfr_get_si(r14773, MPFR_RNDN)) { mpfr_set(r14796, r14784, 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, "30110972.0f0", 10, MPFR_RNDN);
        mpfr_init(r14799);
        mpfr_init(r14800);
        mpfr_init_set_str(r14801, "1", 10, MPFR_RNDN);
        mpfr_init(r14802);
        mpfr_init(r14803);
        mpfr_init(r14804);
        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_set_str(r14813, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14814);
        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_set_d(r14800, x, MPFR_RNDN);
        ;
        mpfr_add(r14802, r14800, r14801, MPFR_RNDN);
        mpfr_div(r14803, r14801, r14797, MPFR_RNDN);
        mpfr_pow(r14804, r14802, r14803, MPFR_RNDN);
        mpfr_pow(r14805, r14800, r14803, MPFR_RNDN);
        mpfr_sub(r14806, r14804, r14805, MPFR_RNDN);
        mpfr_cbrt(r14807, r14806, MPFR_RNDN);
        mpfr_cbrt(r14808, r14807, MPFR_RNDN);
        mpfr_mul(r14809, r14808, r14808, MPFR_RNDN); mpfr_mul(r14809, r14809, r14808, MPFR_RNDN);
        mpfr_mul(r14810, r14809, r14809, MPFR_RNDN); mpfr_mul(r14810, r14810, r14809, MPFR_RNDN);
        mpfr_mul(r14811, r14797, r14800, MPFR_RNDN);
        mpfr_div(r14812, r14801, r14811, MPFR_RNDN);
        ;
        mpfr_div(r14814, r14813, r14797, MPFR_RNDN);
        mpfr_mul(r14815, r14800, r14800, MPFR_RNDN);
        mpfr_div(r14816, r14814, r14815, MPFR_RNDN);
        mpfr_sub(r14817, r14812, r14816, MPFR_RNDN);
        mpfr_log(r14818, r14800, MPFR_RNDN);
        mpfr_div(r14819, r14818, r14811, MPFR_RNDN);
        mpfr_div(r14820, r14819, r14797, MPFR_RNDN);
        mpfr_sub(r14821, r14817, r14820, MPFR_RNDN);
        if (mpfr_get_si(r14799, MPFR_RNDN)) { mpfr_set(r14822, r14810, MPFR_RNDN); } else { mpfr_set(r14822, r14821, MPFR_RNDN); };
        return mpfr_get_d(r14822, MPFR_RNDN);
}