#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 r14871 = 1.0f;
        float r14872 = x;
        float r14873 = cos(r14872);
        float r14874 = r14871 - r14873;
        float r14875 = r14872 * r14872;
        float r14876 = r14874 / r14875;
        return r14876;
}

double f_id(double x) {
        double r14877 = 1.0;
        double r14878 = x;
        double r14879 = cos(r14878);
        double r14880 = r14877 - r14879;
        double r14881 = r14878 * r14878;
        double r14882 = r14880 / r14881;
        return r14882;
}


double f_of(float x) {
        float r14883 = x;
        float r14884 = sin(r14883);
        float r14885 = r14884 * r14884;
        float r14886 = 1.0f;
        float r14887 = cos(r14883);
        float r14888 = r14886 + r14887;
        float r14889 = r14885 / r14888;
        float r14890 = r14883 * r14883;
        float r14891 = r14889 / r14890;
        return r14891;
}

double f_od(double x) {
        double r14892 = x;
        double r14893 = sin(r14892);
        double r14894 = r14893 * r14893;
        double r14895 = 1.0;
        double r14896 = cos(r14892);
        double r14897 = r14895 + r14896;
        double r14898 = r14894 / r14897;
        double r14899 = r14892 * r14892;
        double r14900 = r14898 / r14899;
        return r14900;
}

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 r14901, r14902, r14903, r14904, r14905, r14906;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14901, "1", 10, MPFR_RNDN);
        mpfr_init(r14902);
        mpfr_init(r14903);
        mpfr_init(r14904);
        mpfr_init(r14905);
        mpfr_init(r14906);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14902, x, MPFR_RNDN);
        mpfr_cos(r14903, r14902, MPFR_RNDN);
        mpfr_sub(r14904, r14901, r14903, MPFR_RNDN);
        mpfr_sqr(r14905, r14902, MPFR_RNDN);
        mpfr_div(r14906, r14904, r14905, MPFR_RNDN);
        return mpfr_get_d(r14906, MPFR_RNDN);
}

static mpfr_t r14907, r14908, r14909, r14910, r14911, r14912, r14913, r14914, r14915;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14907);
        mpfr_init(r14908);
        mpfr_init(r14909);
        mpfr_init_set_str(r14910, "1", 10, MPFR_RNDN);
        mpfr_init(r14911);
        mpfr_init(r14912);
        mpfr_init(r14913);
        mpfr_init(r14914);
        mpfr_init(r14915);
}

double f_fm(double x) {
        mpfr_set_d(r14907, x, MPFR_RNDN);
        mpfr_sin(r14908, r14907, MPFR_RNDN);
        mpfr_sqr(r14909, r14908, MPFR_RNDN);
        ;
        mpfr_cos(r14911, r14907, MPFR_RNDN);
        mpfr_add(r14912, r14910, r14911, MPFR_RNDN);
        mpfr_div(r14913, r14909, r14912, MPFR_RNDN);
        mpfr_sqr(r14914, r14907, MPFR_RNDN);
        mpfr_div(r14915, r14913, r14914, MPFR_RNDN);
        return mpfr_get_d(r14915, MPFR_RNDN);
}

static mpfr_t r14916, r14917, r14918, r14919, r14920, r14921, r14922, r14923, r14924;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14916);
        mpfr_init(r14917);
        mpfr_init(r14918);
        mpfr_init_set_str(r14919, "1", 10, MPFR_RNDN);
        mpfr_init(r14920);
        mpfr_init(r14921);
        mpfr_init(r14922);
        mpfr_init(r14923);
        mpfr_init(r14924);
}

double f_dm(double x) {
        mpfr_set_d(r14916, x, MPFR_RNDN);
        mpfr_sin(r14917, r14916, MPFR_RNDN);
        mpfr_sqr(r14918, r14917, MPFR_RNDN);
        ;
        mpfr_cos(r14920, r14916, MPFR_RNDN);
        mpfr_add(r14921, r14919, r14920, MPFR_RNDN);
        mpfr_div(r14922, r14918, r14921, MPFR_RNDN);
        mpfr_sqr(r14923, r14916, MPFR_RNDN);
        mpfr_div(r14924, r14922, r14923, MPFR_RNDN);
        return mpfr_get_d(r14924, MPFR_RNDN);
}