#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 r14891 = 1.0f;
        float r14892 = x;
        float r14893 = cos(r14892);
        float r14894 = r14891 - r14893;
        float r14895 = r14892 * r14892;
        float r14896 = r14894 / r14895;
        return r14896;
}

double f_id(double x) {
        double r14897 = 1.0;
        double r14898 = x;
        double r14899 = cos(r14898);
        double r14900 = r14897 - r14899;
        double r14901 = r14898 * r14898;
        double r14902 = r14900 / r14901;
        return r14902;
}


double f_of(float x) {
        float r14903 = x;
        float r14904 = sin(r14903);
        float r14905 = r14904 * r14904;
        float r14906 = 1.0f;
        float r14907 = cos(r14903);
        float r14908 = r14906 + r14907;
        float r14909 = r14905 / r14908;
        float r14910 = sqrt(r14909);
        float r14911 = r14910 / r14903;
        float r14912 = r14911 * r14911;
        return r14912;
}

double f_od(double x) {
        double r14913 = x;
        double r14914 = sin(r14913);
        double r14915 = r14914 * r14914;
        double r14916 = 1.0;
        double r14917 = cos(r14913);
        double r14918 = r14916 + r14917;
        double r14919 = r14915 / r14918;
        double r14920 = sqrt(r14919);
        double r14921 = r14920 / r14913;
        double r14922 = r14921 * r14921;
        return r14922;
}

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 r14923, r14924, r14925, r14926, r14927, r14928;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14923, "1", 10, MPFR_RNDN);
        mpfr_init(r14924);
        mpfr_init(r14925);
        mpfr_init(r14926);
        mpfr_init(r14927);
        mpfr_init(r14928);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14924, x, MPFR_RNDN);
        mpfr_cos(r14925, r14924, MPFR_RNDN);
        mpfr_sub(r14926, r14923, r14925, MPFR_RNDN);
        mpfr_sqr(r14927, r14924, MPFR_RNDN);
        mpfr_div(r14928, r14926, r14927, MPFR_RNDN);
        return mpfr_get_d(r14928, MPFR_RNDN);
}

static mpfr_t r14929, r14930, r14931, r14932, r14933, r14934, r14935, r14936, r14937, r14938;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14929);
        mpfr_init(r14930);
        mpfr_init(r14931);
        mpfr_init_set_str(r14932, "1", 10, MPFR_RNDN);
        mpfr_init(r14933);
        mpfr_init(r14934);
        mpfr_init(r14935);
        mpfr_init(r14936);
        mpfr_init(r14937);
        mpfr_init(r14938);
}

double f_fm(double x) {
        mpfr_set_d(r14929, x, MPFR_RNDN);
        mpfr_sin(r14930, r14929, MPFR_RNDN);
        mpfr_sqr(r14931, r14930, MPFR_RNDN);
        ;
        mpfr_cos(r14933, r14929, MPFR_RNDN);
        mpfr_add(r14934, r14932, r14933, MPFR_RNDN);
        mpfr_div(r14935, r14931, r14934, MPFR_RNDN);
        mpfr_sqrt(r14936, r14935, MPFR_RNDN);
        mpfr_div(r14937, r14936, r14929, MPFR_RNDN);
        mpfr_sqr(r14938, r14937, MPFR_RNDN);
        return mpfr_get_d(r14938, MPFR_RNDN);
}

static mpfr_t r14939, r14940, r14941, r14942, r14943, r14944, r14945, r14946, r14947, r14948;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14939);
        mpfr_init(r14940);
        mpfr_init(r14941);
        mpfr_init_set_str(r14942, "1", 10, MPFR_RNDN);
        mpfr_init(r14943);
        mpfr_init(r14944);
        mpfr_init(r14945);
        mpfr_init(r14946);
        mpfr_init(r14947);
        mpfr_init(r14948);
}

double f_dm(double x) {
        mpfr_set_d(r14939, x, MPFR_RNDN);
        mpfr_sin(r14940, r14939, MPFR_RNDN);
        mpfr_sqr(r14941, r14940, MPFR_RNDN);
        ;
        mpfr_cos(r14943, r14939, MPFR_RNDN);
        mpfr_add(r14944, r14942, r14943, MPFR_RNDN);
        mpfr_div(r14945, r14941, r14944, MPFR_RNDN);
        mpfr_sqrt(r14946, r14945, MPFR_RNDN);
        mpfr_div(r14947, r14946, r14939, MPFR_RNDN);
        mpfr_sqr(r14948, r14947, MPFR_RNDN);
        return mpfr_get_d(r14948, MPFR_RNDN);
}