#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 r14879 = 1.0f;
        float r14880 = x;
        float r14881 = cos(r14880);
        float r14882 = r14879 - r14881;
        float r14883 = r14880 * r14880;
        float r14884 = r14882 / r14883;
        return r14884;
}

double f_id(double x) {
        double r14885 = 1.0;
        double r14886 = x;
        double r14887 = cos(r14886);
        double r14888 = r14885 - r14887;
        double r14889 = r14886 * r14886;
        double r14890 = r14888 / r14889;
        return r14890;
}


double f_of(float x) {
        float r14891 = x;
        float r14892 = sin(r14891);
        float r14893 = r14892 * r14892;
        float r14894 = 1.0f;
        float r14895 = cos(r14891);
        float r14896 = r14894 + r14895;
        float r14897 = r14893 / r14896;
        float r14898 = sqrt(r14897);
        float r14899 = r14898 / r14891;
        float r14900 = r14899 * r14899;
        return r14900;
}

double f_od(double x) {
        double r14901 = x;
        double r14902 = sin(r14901);
        double r14903 = r14902 * r14902;
        double r14904 = 1.0;
        double r14905 = cos(r14901);
        double r14906 = r14904 + r14905;
        double r14907 = r14903 / r14906;
        double r14908 = sqrt(r14907);
        double r14909 = r14908 / r14901;
        double r14910 = r14909 * r14909;
        return r14910;
}

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 r14911, r14912, r14913, r14914, r14915, r14916;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14911, "1", 10, MPFR_RNDN);
        mpfr_init(r14912);
        mpfr_init(r14913);
        mpfr_init(r14914);
        mpfr_init(r14915);
        mpfr_init(r14916);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14912, x, MPFR_RNDN);
        mpfr_cos(r14913, r14912, MPFR_RNDN);
        mpfr_sub(r14914, r14911, r14913, MPFR_RNDN);
        mpfr_sqr(r14915, r14912, MPFR_RNDN);
        mpfr_div(r14916, r14914, r14915, MPFR_RNDN);
        return mpfr_get_d(r14916, MPFR_RNDN);
}

static mpfr_t r14917, r14918, r14919, r14920, r14921, r14922, r14923, r14924, r14925, r14926;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14917);
        mpfr_init(r14918);
        mpfr_init(r14919);
        mpfr_init_set_str(r14920, "1", 10, MPFR_RNDN);
        mpfr_init(r14921);
        mpfr_init(r14922);
        mpfr_init(r14923);
        mpfr_init(r14924);
        mpfr_init(r14925);
        mpfr_init(r14926);
}

double f_fm(double x) {
        mpfr_set_d(r14917, x, MPFR_RNDN);
        mpfr_sin(r14918, r14917, MPFR_RNDN);
        mpfr_sqr(r14919, r14918, MPFR_RNDN);
        ;
        mpfr_cos(r14921, r14917, MPFR_RNDN);
        mpfr_add(r14922, r14920, r14921, MPFR_RNDN);
        mpfr_div(r14923, r14919, r14922, MPFR_RNDN);
        mpfr_sqrt(r14924, r14923, MPFR_RNDN);
        mpfr_div(r14925, r14924, r14917, MPFR_RNDN);
        mpfr_sqr(r14926, r14925, MPFR_RNDN);
        return mpfr_get_d(r14926, MPFR_RNDN);
}

static mpfr_t r14927, r14928, r14929, r14930, r14931, r14932, r14933, r14934, r14935, r14936;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14927);
        mpfr_init(r14928);
        mpfr_init(r14929);
        mpfr_init_set_str(r14930, "1", 10, MPFR_RNDN);
        mpfr_init(r14931);
        mpfr_init(r14932);
        mpfr_init(r14933);
        mpfr_init(r14934);
        mpfr_init(r14935);
        mpfr_init(r14936);
}

double f_dm(double x) {
        mpfr_set_d(r14927, x, MPFR_RNDN);
        mpfr_sin(r14928, r14927, MPFR_RNDN);
        mpfr_sqr(r14929, r14928, MPFR_RNDN);
        ;
        mpfr_cos(r14931, r14927, MPFR_RNDN);
        mpfr_add(r14932, r14930, r14931, MPFR_RNDN);
        mpfr_div(r14933, r14929, r14932, MPFR_RNDN);
        mpfr_sqrt(r14934, r14933, MPFR_RNDN);
        mpfr_div(r14935, r14934, r14927, MPFR_RNDN);
        mpfr_sqr(r14936, r14935, MPFR_RNDN);
        return mpfr_get_d(r14936, MPFR_RNDN);
}