#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 r14855 = 1.0f;
        float r14856 = x;
        float r14857 = cos(r14856);
        float r14858 = r14855 - r14857;
        float r14859 = r14856 * r14856;
        float r14860 = r14858 / r14859;
        return r14860;
}

double f_id(double x) {
        double r14861 = 1.0;
        double r14862 = x;
        double r14863 = cos(r14862);
        double r14864 = r14861 - r14863;
        double r14865 = r14862 * r14862;
        double r14866 = r14864 / r14865;
        return r14866;
}


double f_of(float x) {
        float r14867 = x;
        float r14868 = sin(r14867);
        float r14869 = 1.0f;
        float r14870 = cos(r14867);
        float r14871 = r14869 + r14870;
        float r14872 = sqrt(r14871);
        float r14873 = r14868 / r14872;
        float r14874 = r14873 / r14867;
        float r14875 = r14874 * r14874;
        return r14875;
}

double f_od(double x) {
        double r14876 = x;
        double r14877 = sin(r14876);
        double r14878 = 1.0;
        double r14879 = cos(r14876);
        double r14880 = r14878 + r14879;
        double r14881 = sqrt(r14880);
        double r14882 = r14877 / r14881;
        double r14883 = r14882 / r14876;
        double r14884 = r14883 * r14883;
        return r14884;
}

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 r14885, r14886, r14887, r14888, r14889, r14890;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14885, "1", 10, MPFR_RNDN);
        mpfr_init(r14886);
        mpfr_init(r14887);
        mpfr_init(r14888);
        mpfr_init(r14889);
        mpfr_init(r14890);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14886, x, MPFR_RNDN);
        mpfr_cos(r14887, r14886, MPFR_RNDN);
        mpfr_sub(r14888, r14885, r14887, MPFR_RNDN);
        mpfr_sqr(r14889, r14886, MPFR_RNDN);
        mpfr_div(r14890, r14888, r14889, MPFR_RNDN);
        return mpfr_get_d(r14890, MPFR_RNDN);
}

static mpfr_t r14891, r14892, r14893, r14894, r14895, r14896, r14897, r14898, r14899;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14891);
        mpfr_init(r14892);
        mpfr_init_set_str(r14893, "1", 10, MPFR_RNDN);
        mpfr_init(r14894);
        mpfr_init(r14895);
        mpfr_init(r14896);
        mpfr_init(r14897);
        mpfr_init(r14898);
        mpfr_init(r14899);
}

double f_fm(double x) {
        mpfr_set_d(r14891, x, MPFR_RNDN);
        mpfr_sin(r14892, r14891, MPFR_RNDN);
        ;
        mpfr_cos(r14894, r14891, MPFR_RNDN);
        mpfr_add(r14895, r14893, r14894, MPFR_RNDN);
        mpfr_sqrt(r14896, r14895, MPFR_RNDN);
        mpfr_div(r14897, r14892, r14896, MPFR_RNDN);
        mpfr_div(r14898, r14897, r14891, MPFR_RNDN);
        mpfr_sqr(r14899, r14898, MPFR_RNDN);
        return mpfr_get_d(r14899, MPFR_RNDN);
}

static mpfr_t r14900, r14901, r14902, r14903, r14904, r14905, r14906, r14907, r14908;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14900);
        mpfr_init(r14901);
        mpfr_init_set_str(r14902, "1", 10, MPFR_RNDN);
        mpfr_init(r14903);
        mpfr_init(r14904);
        mpfr_init(r14905);
        mpfr_init(r14906);
        mpfr_init(r14907);
        mpfr_init(r14908);
}

double f_dm(double x) {
        mpfr_set_d(r14900, x, MPFR_RNDN);
        mpfr_sin(r14901, r14900, MPFR_RNDN);
        ;
        mpfr_cos(r14903, r14900, MPFR_RNDN);
        mpfr_add(r14904, r14902, r14903, MPFR_RNDN);
        mpfr_sqrt(r14905, r14904, MPFR_RNDN);
        mpfr_div(r14906, r14901, r14905, MPFR_RNDN);
        mpfr_div(r14907, r14906, r14900, MPFR_RNDN);
        mpfr_sqr(r14908, r14907, MPFR_RNDN);
        return mpfr_get_d(r14908, MPFR_RNDN);
}