#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 r14887 = 1.0f;
        float r14888 = x;
        float r14889 = cos(r14888);
        float r14890 = r14887 - r14889;
        float r14891 = r14888 * r14888;
        float r14892 = r14890 / r14891;
        return r14892;
}

double f_id(double x) {
        double r14893 = 1.0;
        double r14894 = x;
        double r14895 = cos(r14894);
        double r14896 = r14893 - r14895;
        double r14897 = r14894 * r14894;
        double r14898 = r14896 / r14897;
        return r14898;
}


double f_of(float x) {
        float r14899 = x;
        float r14900 = sin(r14899);
        float r14901 = r14900 * r14900;
        float r14902 = 1.0f;
        float r14903 = cos(r14899);
        float r14904 = r14902 + r14903;
        float r14905 = r14901 / r14904;
        float r14906 = sqrt(r14905);
        float r14907 = r14906 / r14899;
        float r14908 = r14907 * r14907;
        return r14908;
}

double f_od(double x) {
        double r14909 = x;
        double r14910 = sin(r14909);
        double r14911 = r14910 * r14910;
        double r14912 = 1.0;
        double r14913 = cos(r14909);
        double r14914 = r14912 + r14913;
        double r14915 = r14911 / r14914;
        double r14916 = sqrt(r14915);
        double r14917 = r14916 / r14909;
        double r14918 = r14917 * r14917;
        return r14918;
}

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 r14919, r14920, r14921, r14922, r14923, r14924;

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

double f_im(double x) {
        ;
        mpfr_set_d(r14920, x, MPFR_RNDN);
        mpfr_cos(r14921, r14920, MPFR_RNDN);
        mpfr_sub(r14922, r14919, r14921, MPFR_RNDN);
        mpfr_sqr(r14923, r14920, MPFR_RNDN);
        mpfr_div(r14924, r14922, r14923, MPFR_RNDN);
        return mpfr_get_d(r14924, MPFR_RNDN);
}

static mpfr_t r14925, r14926, r14927, r14928, r14929, r14930, r14931, r14932, r14933, r14934;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14925);
        mpfr_init(r14926);
        mpfr_init(r14927);
        mpfr_init_set_str(r14928, "1", 10, MPFR_RNDN);
        mpfr_init(r14929);
        mpfr_init(r14930);
        mpfr_init(r14931);
        mpfr_init(r14932);
        mpfr_init(r14933);
        mpfr_init(r14934);
}

double f_fm(double x) {
        mpfr_set_d(r14925, x, MPFR_RNDN);
        mpfr_sin(r14926, r14925, MPFR_RNDN);
        mpfr_sqr(r14927, r14926, MPFR_RNDN);
        ;
        mpfr_cos(r14929, r14925, MPFR_RNDN);
        mpfr_add(r14930, r14928, r14929, MPFR_RNDN);
        mpfr_div(r14931, r14927, r14930, MPFR_RNDN);
        mpfr_sqrt(r14932, r14931, MPFR_RNDN);
        mpfr_div(r14933, r14932, r14925, MPFR_RNDN);
        mpfr_sqr(r14934, r14933, MPFR_RNDN);
        return mpfr_get_d(r14934, MPFR_RNDN);
}

static mpfr_t r14935, r14936, r14937, r14938, r14939, r14940, r14941, r14942, r14943, r14944;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14935);
        mpfr_init(r14936);
        mpfr_init(r14937);
        mpfr_init_set_str(r14938, "1", 10, MPFR_RNDN);
        mpfr_init(r14939);
        mpfr_init(r14940);
        mpfr_init(r14941);
        mpfr_init(r14942);
        mpfr_init(r14943);
        mpfr_init(r14944);
}

double f_dm(double x) {
        mpfr_set_d(r14935, x, MPFR_RNDN);
        mpfr_sin(r14936, r14935, MPFR_RNDN);
        mpfr_sqr(r14937, r14936, MPFR_RNDN);
        ;
        mpfr_cos(r14939, r14935, MPFR_RNDN);
        mpfr_add(r14940, r14938, r14939, MPFR_RNDN);
        mpfr_div(r14941, r14937, r14940, MPFR_RNDN);
        mpfr_sqrt(r14942, r14941, MPFR_RNDN);
        mpfr_div(r14943, r14942, r14935, MPFR_RNDN);
        mpfr_sqr(r14944, r14943, MPFR_RNDN);
        return mpfr_get_d(r14944, MPFR_RNDN);
}