#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 = 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 = 1.888112624037396e+21f;
        bool r14730 = r14711 <= r14729;
        float r14731 = r14715 + r14714;
        float r14732 = r14714 / r14711;
        float r14733 = pow(r14731, r14732);
        float r14734 = pow(r14715, r14732);
        float r14735 = r14733 - r14734;
        float r14736 = r14730 ? r14735 : r14728;
        float r14737 = r14713 ? r14728 : r14736;
        return r14737;
}

double f_od(double x, double n) {
        double r14738 = n;
        double r14739 = -91874156718365.66;
        bool r14740 = r14738 <= r14739;
        double r14741 = 1.0;
        double r14742 = x;
        double r14743 = r14738 * r14742;
        double r14744 = r14741 / r14743;
        double r14745 = log(r14742);
        double r14746 = r14738 * r14738;
        double r14747 = r14746 * r14742;
        double r14748 = r14745 / r14747;
        double r14749 = 0.5;
        double r14750 = r14742 * r14742;
        double r14751 = r14738 * r14750;
        double r14752 = r14741 / r14751;
        double r14753 = r14749 * r14752;
        double r14754 = r14748 + r14753;
        double r14755 = r14744 - r14754;
        double r14756 = 1.888112624037396e+21;
        bool r14757 = r14738 <= r14756;
        double r14758 = r14742 + r14741;
        double r14759 = r14741 / r14738;
        double r14760 = pow(r14758, r14759);
        double r14761 = pow(r14742, r14759);
        double r14762 = r14760 - r14761;
        double r14763 = r14757 ? r14762 : r14755;
        double r14764 = r14740 ? r14755 : r14763;
        return r14764;
}

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 r14765, r14766, r14767, r14768, r14769, r14770, r14771, r14772;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r14765);
        mpfr_init_set_str(r14766, "1", 10, MPFR_RNDN);
        mpfr_init(r14767);
        mpfr_init(r14768);
        mpfr_init(r14769);
        mpfr_init(r14770);
        mpfr_init(r14771);
        mpfr_init(r14772);
}

double f_im(double x, double n) {
        mpfr_set_d(r14765, x, MPFR_RNDN);
        ;
        mpfr_add(r14767, r14765, r14766, MPFR_RNDN);
        mpfr_set_d(r14768, n, MPFR_RNDN);
        mpfr_div(r14769, r14766, r14768, MPFR_RNDN);
        mpfr_pow(r14770, r14767, r14769, MPFR_RNDN);
        mpfr_pow(r14771, r14765, r14769, MPFR_RNDN);
        mpfr_sub(r14772, r14770, r14771, MPFR_RNDN);
        return mpfr_get_d(r14772, MPFR_RNDN);
}

static mpfr_t r14773, r14774, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14773);
        mpfr_init_set_str(r14774, "-91874156718365.66", 10, MPFR_RNDN);
        mpfr_init(r14775);
        mpfr_init_set_str(r14776, "1", 10, MPFR_RNDN);
        mpfr_init(r14777);
        mpfr_init(r14778);
        mpfr_init(r14779);
        mpfr_init(r14780);
        mpfr_init(r14781);
        mpfr_init(r14782);
        mpfr_init(r14783);
        mpfr_init_set_str(r14784, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14785);
        mpfr_init(r14786);
        mpfr_init(r14787);
        mpfr_init(r14788);
        mpfr_init(r14789);
        mpfr_init(r14790);
        mpfr_init_set_str(r14791, "1.888112624037396e+21", 10, MPFR_RNDN);
        mpfr_init(r14792);
        mpfr_init(r14793);
        mpfr_init(r14794);
        mpfr_init(r14795);
        mpfr_init(r14796);
        mpfr_init(r14797);
        mpfr_init(r14798);
        mpfr_init(r14799);
}

double f_fm(double x, double n) {
        mpfr_set_d(r14773, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14775, mpfr_cmp(r14773, r14774) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r14777, x, MPFR_RNDN);
        mpfr_mul(r14778, r14773, r14777, MPFR_RNDN);
        mpfr_div(r14779, r14776, r14778, MPFR_RNDN);
        mpfr_log(r14780, r14777, MPFR_RNDN);
        mpfr_sqr(r14781, r14773, MPFR_RNDN);
        mpfr_mul(r14782, r14781, r14777, MPFR_RNDN);
        mpfr_div(r14783, r14780, r14782, MPFR_RNDN);
        ;
        mpfr_sqr(r14785, r14777, MPFR_RNDN);
        mpfr_mul(r14786, r14773, r14785, MPFR_RNDN);
        mpfr_div(r14787, r14776, r14786, MPFR_RNDN);
        mpfr_mul(r14788, r14784, r14787, MPFR_RNDN);
        mpfr_add(r14789, r14783, r14788, MPFR_RNDN);
        mpfr_sub(r14790, r14779, r14789, MPFR_RNDN);
        ;
        mpfr_set_si(r14792, mpfr_cmp(r14773, r14791) <= 0, MPFR_RNDN);
        mpfr_add(r14793, r14777, r14776, MPFR_RNDN);
        mpfr_div(r14794, r14776, r14773, MPFR_RNDN);
        mpfr_pow(r14795, r14793, r14794, MPFR_RNDN);
        mpfr_pow(r14796, r14777, r14794, MPFR_RNDN);
        mpfr_sub(r14797, r14795, r14796, MPFR_RNDN);
        if (mpfr_get_si(r14792, MPFR_RNDN)) { mpfr_set(r14798, r14797, MPFR_RNDN); } else { mpfr_set(r14798, r14790, MPFR_RNDN); };
        if (mpfr_get_si(r14775, MPFR_RNDN)) { mpfr_set(r14799, r14790, MPFR_RNDN); } else { mpfr_set(r14799, r14798, MPFR_RNDN); };
        return mpfr_get_d(r14799, MPFR_RNDN);
}

static mpfr_t r14800, r14801, r14802, r14803, r14804, r14805, r14806, r14807, r14808, r14809, r14810, r14811, r14812, r14813, r14814, r14815, r14816, r14817, r14818, r14819, r14820, r14821, r14822, r14823, r14824, r14825, r14826;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14800);
        mpfr_init_set_str(r14801, "-91874156718365.66", 10, MPFR_RNDN);
        mpfr_init(r14802);
        mpfr_init_set_str(r14803, "1", 10, MPFR_RNDN);
        mpfr_init(r14804);
        mpfr_init(r14805);
        mpfr_init(r14806);
        mpfr_init(r14807);
        mpfr_init(r14808);
        mpfr_init(r14809);
        mpfr_init(r14810);
        mpfr_init_set_str(r14811, "1/2", 10, MPFR_RNDN);
        mpfr_init(r14812);
        mpfr_init(r14813);
        mpfr_init(r14814);
        mpfr_init(r14815);
        mpfr_init(r14816);
        mpfr_init(r14817);
        mpfr_init_set_str(r14818, "1.888112624037396e+21", 10, MPFR_RNDN);
        mpfr_init(r14819);
        mpfr_init(r14820);
        mpfr_init(r14821);
        mpfr_init(r14822);
        mpfr_init(r14823);
        mpfr_init(r14824);
        mpfr_init(r14825);
        mpfr_init(r14826);
}

double f_dm(double x, double n) {
        mpfr_set_d(r14800, n, MPFR_RNDN);
        ;
        mpfr_set_si(r14802, mpfr_cmp(r14800, r14801) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r14804, x, MPFR_RNDN);
        mpfr_mul(r14805, r14800, r14804, MPFR_RNDN);
        mpfr_div(r14806, r14803, r14805, MPFR_RNDN);
        mpfr_log(r14807, r14804, MPFR_RNDN);
        mpfr_sqr(r14808, r14800, MPFR_RNDN);
        mpfr_mul(r14809, r14808, r14804, MPFR_RNDN);
        mpfr_div(r14810, r14807, r14809, MPFR_RNDN);
        ;
        mpfr_sqr(r14812, r14804, MPFR_RNDN);
        mpfr_mul(r14813, r14800, r14812, MPFR_RNDN);
        mpfr_div(r14814, r14803, r14813, MPFR_RNDN);
        mpfr_mul(r14815, r14811, r14814, MPFR_RNDN);
        mpfr_add(r14816, r14810, r14815, MPFR_RNDN);
        mpfr_sub(r14817, r14806, r14816, MPFR_RNDN);
        ;
        mpfr_set_si(r14819, mpfr_cmp(r14800, r14818) <= 0, MPFR_RNDN);
        mpfr_add(r14820, r14804, r14803, MPFR_RNDN);
        mpfr_div(r14821, r14803, r14800, MPFR_RNDN);
        mpfr_pow(r14822, r14820, r14821, MPFR_RNDN);
        mpfr_pow(r14823, r14804, r14821, MPFR_RNDN);
        mpfr_sub(r14824, r14822, r14823, MPFR_RNDN);
        if (mpfr_get_si(r14819, MPFR_RNDN)) { mpfr_set(r14825, r14824, MPFR_RNDN); } else { mpfr_set(r14825, r14817, MPFR_RNDN); };
        if (mpfr_get_si(r14802, MPFR_RNDN)) { mpfr_set(r14826, r14817, MPFR_RNDN); } else { mpfr_set(r14826, r14825, MPFR_RNDN); };
        return mpfr_get_d(r14826, MPFR_RNDN);
}