#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 r14883 = 1.0f;
        float r14884 = x;
        float r14885 = cos(r14884);
        float r14886 = r14883 - r14885;
        float r14887 = r14884 * r14884;
        float r14888 = r14886 / r14887;
        return r14888;
}

double f_id(double x) {
        double r14889 = 1.0;
        double r14890 = x;
        double r14891 = cos(r14890);
        double r14892 = r14889 - r14891;
        double r14893 = r14890 * r14890;
        double r14894 = r14892 / r14893;
        return r14894;
}


double f_of(float x) {
        float r14895 = x;
        float r14896 = sin(r14895);
        float r14897 = r14896 / r14895;
        float r14898 = 1.0f;
        float r14899 = cos(r14895);
        float r14900 = r14898 + r14899;
        float r14901 = r14896 / r14900;
        float r14902 = r14901 / r14895;
        float r14903 = r14897 * r14902;
        return r14903;
}

double f_od(double x) {
        double r14904 = x;
        double r14905 = sin(r14904);
        double r14906 = r14905 / r14904;
        double r14907 = 1.0;
        double r14908 = cos(r14904);
        double r14909 = r14907 + r14908;
        double r14910 = r14905 / r14909;
        double r14911 = r14910 / r14904;
        double r14912 = r14906 * r14911;
        return r14912;
}

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 r14913, r14914, r14915, r14916, r14917, r14918;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14913, "1", 10, MPFR_RNDN);
        mpfr_init(r14914);
        mpfr_init(r14915);
        mpfr_init(r14916);
        mpfr_init(r14917);
        mpfr_init(r14918);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14914, x, MPFR_RNDN);
        mpfr_cos(r14915, r14914, MPFR_RNDN);
        mpfr_sub(r14916, r14913, r14915, MPFR_RNDN);
        mpfr_sqr(r14917, r14914, MPFR_RNDN);
        mpfr_div(r14918, r14916, r14917, MPFR_RNDN);
        return mpfr_get_d(r14918, MPFR_RNDN);
}

static mpfr_t r14919, r14920, r14921, r14922, r14923, r14924, r14925, r14926, r14927;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14919);
        mpfr_init(r14920);
        mpfr_init(r14921);
        mpfr_init_set_str(r14922, "1", 10, MPFR_RNDN);
        mpfr_init(r14923);
        mpfr_init(r14924);
        mpfr_init(r14925);
        mpfr_init(r14926);
        mpfr_init(r14927);
}

double f_fm(double x) {
        mpfr_set_d(r14919, x, MPFR_RNDN);
        mpfr_sin(r14920, r14919, MPFR_RNDN);
        mpfr_div(r14921, r14920, r14919, MPFR_RNDN);
        ;
        mpfr_cos(r14923, r14919, MPFR_RNDN);
        mpfr_add(r14924, r14922, r14923, MPFR_RNDN);
        mpfr_div(r14925, r14920, r14924, MPFR_RNDN);
        mpfr_div(r14926, r14925, r14919, MPFR_RNDN);
        mpfr_mul(r14927, r14921, r14926, MPFR_RNDN);
        return mpfr_get_d(r14927, MPFR_RNDN);
}

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

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

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