#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE problem 3.4.1";

double f_if(float x) {
        float r4773671 = 1.0f;
        float r4773672 = x;
        float r4773673 = cos(r4773672);
        float r4773674 = r4773671 - r4773673;
        float r4773675 = r4773672 * r4773672;
        float r4773676 = r4773674 / r4773675;
        return r4773676;
}

double f_id(double x) {
        double r4773677 = 1.0;
        double r4773678 = x;
        double r4773679 = cos(r4773678);
        double r4773680 = r4773677 - r4773679;
        double r4773681 = r4773678 * r4773678;
        double r4773682 = r4773680 / r4773681;
        return r4773682;
}


double f_of(float x) {
        float r4773683 = x;
        float r4773684 = sin(r4773683);
        float r4773685 = r4773684 / r4773683;
        float r4773686 = 1.0f;
        float r4773687 = cos(r4773683);
        float r4773688 = r4773686 + r4773687;
        float r4773689 = r4773684 / r4773688;
        float r4773690 = r4773689 / r4773683;
        float r4773691 = r4773685 * r4773690;
        return r4773691;
}

double f_od(double x) {
        double r4773692 = x;
        double r4773693 = sin(r4773692);
        double r4773694 = r4773693 / r4773692;
        double r4773695 = 1.0;
        double r4773696 = cos(r4773692);
        double r4773697 = r4773695 + r4773696;
        double r4773698 = r4773693 / r4773697;
        double r4773699 = r4773698 / r4773692;
        double r4773700 = r4773694 * r4773699;
        return r4773700;
}

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 r4773701, r4773702, r4773703, r4773704, r4773705, r4773706;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r4773701, "1", 10, MPFR_RNDN);
        mpfr_init(r4773702);
        mpfr_init(r4773703);
        mpfr_init(r4773704);
        mpfr_init(r4773705);
        mpfr_init(r4773706);
}

double f_im(double x) {
        ;
        mpfr_set_d(r4773702, x, MPFR_RNDN);
        mpfr_cos(r4773703, r4773702, MPFR_RNDN);
        mpfr_sub(r4773704, r4773701, r4773703, MPFR_RNDN);
        mpfr_sqr(r4773705, r4773702, MPFR_RNDN);
        mpfr_div(r4773706, r4773704, r4773705, MPFR_RNDN);
        return mpfr_get_d(r4773706, MPFR_RNDN);
}

static mpfr_t r4773707, r4773708, r4773709, r4773710, r4773711, r4773712, r4773713, r4773714, r4773715;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r4773707);
        mpfr_init(r4773708);
        mpfr_init(r4773709);
        mpfr_init_set_str(r4773710, "1", 10, MPFR_RNDN);
        mpfr_init(r4773711);
        mpfr_init(r4773712);
        mpfr_init(r4773713);
        mpfr_init(r4773714);
        mpfr_init(r4773715);
}

double f_fm(double x) {
        mpfr_set_d(r4773707, x, MPFR_RNDN);
        mpfr_sin(r4773708, r4773707, MPFR_RNDN);
        mpfr_div(r4773709, r4773708, r4773707, MPFR_RNDN);
        ;
        mpfr_cos(r4773711, r4773707, MPFR_RNDN);
        mpfr_add(r4773712, r4773710, r4773711, MPFR_RNDN);
        mpfr_div(r4773713, r4773708, r4773712, MPFR_RNDN);
        mpfr_div(r4773714, r4773713, r4773707, MPFR_RNDN);
        mpfr_mul(r4773715, r4773709, r4773714, MPFR_RNDN);
        return mpfr_get_d(r4773715, MPFR_RNDN);
}

static mpfr_t r4773716, r4773717, r4773718, r4773719, r4773720, r4773721, r4773722, r4773723, r4773724;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r4773716);
        mpfr_init(r4773717);
        mpfr_init(r4773718);
        mpfr_init_set_str(r4773719, "1", 10, MPFR_RNDN);
        mpfr_init(r4773720);
        mpfr_init(r4773721);
        mpfr_init(r4773722);
        mpfr_init(r4773723);
        mpfr_init(r4773724);
}

double f_dm(double x) {
        mpfr_set_d(r4773716, x, MPFR_RNDN);
        mpfr_sin(r4773717, r4773716, MPFR_RNDN);
        mpfr_div(r4773718, r4773717, r4773716, MPFR_RNDN);
        ;
        mpfr_cos(r4773720, r4773716, MPFR_RNDN);
        mpfr_add(r4773721, r4773719, r4773720, MPFR_RNDN);
        mpfr_div(r4773722, r4773717, r4773721, MPFR_RNDN);
        mpfr_div(r4773723, r4773722, r4773716, MPFR_RNDN);
        mpfr_mul(r4773724, r4773718, r4773723, MPFR_RNDN);
        return mpfr_get_d(r4773724, MPFR_RNDN);
}