#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 r14875 = 1.0f;
        float r14876 = x;
        float r14877 = cos(r14876);
        float r14878 = r14875 - r14877;
        float r14879 = r14876 * r14876;
        float r14880 = r14878 / r14879;
        return r14880;
}

double f_id(double x) {
        double r14881 = 1.0;
        double r14882 = x;
        double r14883 = cos(r14882);
        double r14884 = r14881 - r14883;
        double r14885 = r14882 * r14882;
        double r14886 = r14884 / r14885;
        return r14886;
}


double f_of(float x) {
        float r14887 = x;
        float r14888 = sin(r14887);
        float r14889 = r14888 * r14888;
        float r14890 = 1.0f;
        float r14891 = cos(r14887);
        float r14892 = r14890 + r14891;
        float r14893 = r14889 / r14892;
        float r14894 = sqrt(r14893);
        float r14895 = r14894 / r14887;
        float r14896 = r14895 * r14895;
        return r14896;
}

double f_od(double x) {
        double r14897 = x;
        double r14898 = sin(r14897);
        double r14899 = r14898 * r14898;
        double r14900 = 1.0;
        double r14901 = cos(r14897);
        double r14902 = r14900 + r14901;
        double r14903 = r14899 / r14902;
        double r14904 = sqrt(r14903);
        double r14905 = r14904 / r14897;
        double r14906 = r14905 * r14905;
        return r14906;
}

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 r14907, r14908, r14909, r14910, r14911, r14912;

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

double f_im(double x) {
        ;
        mpfr_set_d(r14908, x, MPFR_RNDN);
        mpfr_cos(r14909, r14908, MPFR_RNDN);
        mpfr_sub(r14910, r14907, r14909, MPFR_RNDN);
        mpfr_sqr(r14911, r14908, MPFR_RNDN);
        mpfr_div(r14912, r14910, r14911, MPFR_RNDN);
        return mpfr_get_d(r14912, MPFR_RNDN);
}

static mpfr_t r14913, r14914, r14915, r14916, r14917, r14918, r14919, r14920, r14921, r14922;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14913);
        mpfr_init(r14914);
        mpfr_init(r14915);
        mpfr_init_set_str(r14916, "1", 10, MPFR_RNDN);
        mpfr_init(r14917);
        mpfr_init(r14918);
        mpfr_init(r14919);
        mpfr_init(r14920);
        mpfr_init(r14921);
        mpfr_init(r14922);
}

double f_fm(double x) {
        mpfr_set_d(r14913, x, MPFR_RNDN);
        mpfr_sin(r14914, r14913, MPFR_RNDN);
        mpfr_sqr(r14915, r14914, MPFR_RNDN);
        ;
        mpfr_cos(r14917, r14913, MPFR_RNDN);
        mpfr_add(r14918, r14916, r14917, MPFR_RNDN);
        mpfr_div(r14919, r14915, r14918, MPFR_RNDN);
        mpfr_sqrt(r14920, r14919, MPFR_RNDN);
        mpfr_div(r14921, r14920, r14913, MPFR_RNDN);
        mpfr_sqr(r14922, r14921, MPFR_RNDN);
        return mpfr_get_d(r14922, MPFR_RNDN);
}

static mpfr_t r14923, r14924, r14925, r14926, r14927, r14928, r14929, r14930, r14931, r14932;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14923);
        mpfr_init(r14924);
        mpfr_init(r14925);
        mpfr_init_set_str(r14926, "1", 10, MPFR_RNDN);
        mpfr_init(r14927);
        mpfr_init(r14928);
        mpfr_init(r14929);
        mpfr_init(r14930);
        mpfr_init(r14931);
        mpfr_init(r14932);
}

double f_dm(double x) {
        mpfr_set_d(r14923, x, MPFR_RNDN);
        mpfr_sin(r14924, r14923, MPFR_RNDN);
        mpfr_sqr(r14925, r14924, MPFR_RNDN);
        ;
        mpfr_cos(r14927, r14923, MPFR_RNDN);
        mpfr_add(r14928, r14926, r14927, MPFR_RNDN);
        mpfr_div(r14929, r14925, r14928, MPFR_RNDN);
        mpfr_sqrt(r14930, r14929, MPFR_RNDN);
        mpfr_div(r14931, r14930, r14923, MPFR_RNDN);
        mpfr_sqr(r14932, r14931, MPFR_RNDN);
        return mpfr_get_d(r14932, MPFR_RNDN);
}