#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 = x;
        float r14712 = 1.0f;
        float r14713 = r14711 + r14712;
        float r14714 = n;
        float r14715 = r14712 / r14714;
        float r14716 = pow(r14713, r14715);
        float r14717 = sqrt(r14716);
        float r14718 = pow(r14711, r14715);
        float r14719 = sqrt(r14718);
        float r14720 = r14717 + r14719;
        float r14721 = r14717 - r14719;
        float r14722 = cbrt(r14721);
        float r14723 = r14722 * (r14722 * r14722);
        float r14724 = r14720 * r14723;
        return r14724;
}

double f_od(double x, double n) {
        double r14725 = x;
        double r14726 = 1.0;
        double r14727 = r14725 + r14726;
        double r14728 = n;
        double r14729 = r14726 / r14728;
        double r14730 = pow(r14727, r14729);
        double r14731 = sqrt(r14730);
        double r14732 = pow(r14725, r14729);
        double r14733 = sqrt(r14732);
        double r14734 = r14731 + r14733;
        double r14735 = r14731 - r14733;
        double r14736 = cbrt(r14735);
        double r14737 = r14736 * (r14736 * r14736);
        double r14738 = r14734 * r14737;
        return r14738;
}

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 r14739, r14740, r14741, r14742, r14743, r14744, r14745, r14746;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r14739);
        mpfr_init_set_str(r14740, "1", 10, MPFR_RNDN);
        mpfr_init(r14741);
        mpfr_init(r14742);
        mpfr_init(r14743);
        mpfr_init(r14744);
        mpfr_init(r14745);
        mpfr_init(r14746);
}

double f_im(double x, double n) {
        mpfr_set_d(r14739, x, MPFR_RNDN);
        ;
        mpfr_add(r14741, r14739, r14740, MPFR_RNDN);
        mpfr_set_d(r14742, n, MPFR_RNDN);
        mpfr_div(r14743, r14740, r14742, MPFR_RNDN);
        mpfr_pow(r14744, r14741, r14743, MPFR_RNDN);
        mpfr_pow(r14745, r14739, r14743, MPFR_RNDN);
        mpfr_sub(r14746, r14744, r14745, MPFR_RNDN);
        return mpfr_get_d(r14746, MPFR_RNDN);
}

static mpfr_t r14747, r14748, r14749, r14750, r14751, r14752, r14753, r14754, r14755, r14756, r14757, r14758, r14759, r14760;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14747);
        mpfr_init_set_str(r14748, "1", 10, MPFR_RNDN);
        mpfr_init(r14749);
        mpfr_init(r14750);
        mpfr_init(r14751);
        mpfr_init(r14752);
        mpfr_init(r14753);
        mpfr_init(r14754);
        mpfr_init(r14755);
        mpfr_init(r14756);
        mpfr_init(r14757);
        mpfr_init(r14758);
        mpfr_init(r14759);
        mpfr_init(r14760);
}

double f_fm(double x, double n) {
        mpfr_set_d(r14747, x, MPFR_RNDN);
        ;
        mpfr_add(r14749, r14747, r14748, MPFR_RNDN);
        mpfr_set_d(r14750, n, MPFR_RNDN);
        mpfr_div(r14751, r14748, r14750, MPFR_RNDN);
        mpfr_pow(r14752, r14749, r14751, MPFR_RNDN);
        mpfr_sqrt(r14753, r14752, MPFR_RNDN);
        mpfr_pow(r14754, r14747, r14751, MPFR_RNDN);
        mpfr_sqrt(r14755, r14754, MPFR_RNDN);
        mpfr_add(r14756, r14753, r14755, MPFR_RNDN);
        mpfr_sub(r14757, r14753, r14755, MPFR_RNDN);
        mpfr_cbrt(r14758, r14757, MPFR_RNDN);
        mpfr_mul(r14759, r14758, r14758, MPFR_RNDN); mpfr_mul(r14759, r14759, r14758, MPFR_RNDN);
        mpfr_mul(r14760, r14756, r14759, MPFR_RNDN);
        return mpfr_get_d(r14760, MPFR_RNDN);
}

static mpfr_t r14761, r14762, r14763, r14764, r14765, r14766, r14767, r14768, r14769, r14770, r14771, r14772, r14773, r14774;

void setup_mpfr_f_dm() {
        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);
        mpfr_init(r14769);
        mpfr_init(r14770);
        mpfr_init(r14771);
        mpfr_init(r14772);
        mpfr_init(r14773);
        mpfr_init(r14774);
}

double f_dm(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_sqrt(r14767, r14766, MPFR_RNDN);
        mpfr_pow(r14768, r14761, r14765, MPFR_RNDN);
        mpfr_sqrt(r14769, r14768, MPFR_RNDN);
        mpfr_add(r14770, r14767, r14769, MPFR_RNDN);
        mpfr_sub(r14771, r14767, r14769, MPFR_RNDN);
        mpfr_cbrt(r14772, r14771, MPFR_RNDN);
        mpfr_mul(r14773, r14772, r14772, MPFR_RNDN); mpfr_mul(r14773, r14773, r14772, MPFR_RNDN);
        mpfr_mul(r14774, r14770, r14773, MPFR_RNDN);
        return mpfr_get_d(r14774, MPFR_RNDN);
}

