#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 r14915 = 1.0f;
        float r14916 = x;
        float r14917 = cos(r14916);
        float r14918 = r14915 - r14917;
        float r14919 = r14916 * r14916;
        float r14920 = r14918 / r14919;
        return r14920;
}

double f_id(double x) {
        double r14921 = 1.0;
        double r14922 = x;
        double r14923 = cos(r14922);
        double r14924 = r14921 - r14923;
        double r14925 = r14922 * r14922;
        double r14926 = r14924 / r14925;
        return r14926;
}


double f_of(float x) {
        float r14927 = x;
        float r14928 = sin(r14927);
        float r14929 = 1.0f;
        float r14930 = cos(r14927);
        float r14931 = r14929 + r14930;
        float r14932 = sqrt(r14931);
        float r14933 = r14928 / r14932;
        float r14934 = r14933 / r14927;
        float r14935 = r14934 * r14934;
        return r14935;
}

double f_od(double x) {
        double r14936 = x;
        double r14937 = sin(r14936);
        double r14938 = 1.0;
        double r14939 = cos(r14936);
        double r14940 = r14938 + r14939;
        double r14941 = sqrt(r14940);
        double r14942 = r14937 / r14941;
        double r14943 = r14942 / r14936;
        double r14944 = r14943 * r14943;
        return r14944;
}

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 r14945, r14946, r14947, r14948, r14949, r14950;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14945, "1", 10, MPFR_RNDN);
        mpfr_init(r14946);
        mpfr_init(r14947);
        mpfr_init(r14948);
        mpfr_init(r14949);
        mpfr_init(r14950);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14946, x, MPFR_RNDN);
        mpfr_cos(r14947, r14946, MPFR_RNDN);
        mpfr_sub(r14948, r14945, r14947, MPFR_RNDN);
        mpfr_sqr(r14949, r14946, MPFR_RNDN);
        mpfr_div(r14950, r14948, r14949, MPFR_RNDN);
        return mpfr_get_d(r14950, MPFR_RNDN);
}

static mpfr_t r14951, r14952, r14953, r14954, r14955, r14956, r14957, r14958, r14959;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14951);
        mpfr_init(r14952);
        mpfr_init_set_str(r14953, "1", 10, MPFR_RNDN);
        mpfr_init(r14954);
        mpfr_init(r14955);
        mpfr_init(r14956);
        mpfr_init(r14957);
        mpfr_init(r14958);
        mpfr_init(r14959);
}

double f_fm(double x) {
        mpfr_set_d(r14951, x, MPFR_RNDN);
        mpfr_sin(r14952, r14951, MPFR_RNDN);
        ;
        mpfr_cos(r14954, r14951, MPFR_RNDN);
        mpfr_add(r14955, r14953, r14954, MPFR_RNDN);
        mpfr_sqrt(r14956, r14955, MPFR_RNDN);
        mpfr_div(r14957, r14952, r14956, MPFR_RNDN);
        mpfr_div(r14958, r14957, r14951, MPFR_RNDN);
        mpfr_sqr(r14959, r14958, MPFR_RNDN);
        return mpfr_get_d(r14959, MPFR_RNDN);
}

static mpfr_t r14960, r14961, r14962, r14963, r14964, r14965, r14966, r14967, r14968;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14960);
        mpfr_init(r14961);
        mpfr_init_set_str(r14962, "1", 10, MPFR_RNDN);
        mpfr_init(r14963);
        mpfr_init(r14964);
        mpfr_init(r14965);
        mpfr_init(r14966);
        mpfr_init(r14967);
        mpfr_init(r14968);
}

double f_dm(double x) {
        mpfr_set_d(r14960, x, MPFR_RNDN);
        mpfr_sin(r14961, r14960, MPFR_RNDN);
        ;
        mpfr_cos(r14963, r14960, MPFR_RNDN);
        mpfr_add(r14964, r14962, r14963, MPFR_RNDN);
        mpfr_sqrt(r14965, r14964, MPFR_RNDN);
        mpfr_div(r14966, r14961, r14965, MPFR_RNDN);
        mpfr_div(r14967, r14966, r14960, MPFR_RNDN);
        mpfr_sqr(r14968, r14967, MPFR_RNDN);
        return mpfr_get_d(r14968, MPFR_RNDN);
}