#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 r14895 = 1.0f;
        float r14896 = x;
        float r14897 = cos(r14896);
        float r14898 = r14895 - r14897;
        float r14899 = r14896 * r14896;
        float r14900 = r14898 / r14899;
        return r14900;
}

double f_id(double x) {
        double r14901 = 1.0;
        double r14902 = x;
        double r14903 = cos(r14902);
        double r14904 = r14901 - r14903;
        double r14905 = r14902 * r14902;
        double r14906 = r14904 / r14905;
        return r14906;
}


double f_of(float x) {
        float r14907 = x;
        float r14908 = sin(r14907);
        float r14909 = 1.0f;
        float r14910 = cos(r14907);
        float r14911 = r14909 + r14910;
        float r14912 = sqrt(r14911);
        float r14913 = r14908 / r14912;
        float r14914 = r14913 / r14907;
        float r14915 = r14914 * r14914;
        return r14915;
}

double f_od(double x) {
        double r14916 = x;
        double r14917 = sin(r14916);
        double r14918 = 1.0;
        double r14919 = cos(r14916);
        double r14920 = r14918 + r14919;
        double r14921 = sqrt(r14920);
        double r14922 = r14917 / r14921;
        double r14923 = r14922 / r14916;
        double r14924 = r14923 * r14923;
        return r14924;
}

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 r14925, r14926, r14927, r14928, r14929, r14930;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14925, "1", 10, MPFR_RNDN);
        mpfr_init(r14926);
        mpfr_init(r14927);
        mpfr_init(r14928);
        mpfr_init(r14929);
        mpfr_init(r14930);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14926, x, MPFR_RNDN);
        mpfr_cos(r14927, r14926, MPFR_RNDN);
        mpfr_sub(r14928, r14925, r14927, MPFR_RNDN);
        mpfr_sqr(r14929, r14926, MPFR_RNDN);
        mpfr_div(r14930, r14928, r14929, MPFR_RNDN);
        return mpfr_get_d(r14930, MPFR_RNDN);
}

static mpfr_t r14931, r14932, r14933, r14934, r14935, r14936, r14937, r14938, r14939;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14931);
        mpfr_init(r14932);
        mpfr_init_set_str(r14933, "1", 10, MPFR_RNDN);
        mpfr_init(r14934);
        mpfr_init(r14935);
        mpfr_init(r14936);
        mpfr_init(r14937);
        mpfr_init(r14938);
        mpfr_init(r14939);
}

double f_fm(double x) {
        mpfr_set_d(r14931, x, MPFR_RNDN);
        mpfr_sin(r14932, r14931, MPFR_RNDN);
        ;
        mpfr_cos(r14934, r14931, MPFR_RNDN);
        mpfr_add(r14935, r14933, r14934, MPFR_RNDN);
        mpfr_sqrt(r14936, r14935, MPFR_RNDN);
        mpfr_div(r14937, r14932, r14936, MPFR_RNDN);
        mpfr_div(r14938, r14937, r14931, MPFR_RNDN);
        mpfr_sqr(r14939, r14938, MPFR_RNDN);
        return mpfr_get_d(r14939, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        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(r14940, x, MPFR_RNDN);
        mpfr_sin(r14941, r14940, MPFR_RNDN);
        ;
        mpfr_cos(r14943, r14940, MPFR_RNDN);
        mpfr_add(r14944, r14942, r14943, MPFR_RNDN);
        mpfr_sqrt(r14945, r14944, MPFR_RNDN);
        mpfr_div(r14946, r14941, r14945, MPFR_RNDN);
        mpfr_div(r14947, r14946, r14940, MPFR_RNDN);
        mpfr_sqr(r14948, r14947, MPFR_RNDN);
        return mpfr_get_d(r14948, MPFR_RNDN);
}