#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 r14919 = 1.0f;
        float r14920 = x;
        float r14921 = cos(r14920);
        float r14922 = r14919 - r14921;
        float r14923 = r14920 * r14920;
        float r14924 = r14922 / r14923;
        return r14924;
}

double f_id(double x) {
        double r14925 = 1.0;
        double r14926 = x;
        double r14927 = cos(r14926);
        double r14928 = r14925 - r14927;
        double r14929 = r14926 * r14926;
        double r14930 = r14928 / r14929;
        return r14930;
}


double f_of(float x) {
        float r14931 = x;
        float r14932 = sin(r14931);
        float r14933 = r14932 * r14932;
        float r14934 = 1.0f;
        float r14935 = cos(r14931);
        float r14936 = r14934 + r14935;
        float r14937 = r14933 / r14936;
        float r14938 = sqrt(r14937);
        float r14939 = r14938 / r14931;
        float r14940 = r14939 * r14939;
        return r14940;
}

double f_od(double x) {
        double r14941 = x;
        double r14942 = sin(r14941);
        double r14943 = r14942 * r14942;
        double r14944 = 1.0;
        double r14945 = cos(r14941);
        double r14946 = r14944 + r14945;
        double r14947 = r14943 / r14946;
        double r14948 = sqrt(r14947);
        double r14949 = r14948 / r14941;
        double r14950 = r14949 * r14949;
        return r14950;
}

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 r14951, r14952, r14953, r14954, r14955, r14956;

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

double f_im(double x) {
        ;
        mpfr_set_d(r14952, x, MPFR_RNDN);
        mpfr_cos(r14953, r14952, MPFR_RNDN);
        mpfr_sub(r14954, r14951, r14953, MPFR_RNDN);
        mpfr_sqr(r14955, r14952, MPFR_RNDN);
        mpfr_div(r14956, r14954, r14955, MPFR_RNDN);
        return mpfr_get_d(r14956, MPFR_RNDN);
}

static mpfr_t r14957, r14958, r14959, r14960, r14961, r14962, r14963, r14964, r14965, r14966;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14957);
        mpfr_init(r14958);
        mpfr_init(r14959);
        mpfr_init_set_str(r14960, "1", 10, MPFR_RNDN);
        mpfr_init(r14961);
        mpfr_init(r14962);
        mpfr_init(r14963);
        mpfr_init(r14964);
        mpfr_init(r14965);
        mpfr_init(r14966);
}

double f_fm(double x) {
        mpfr_set_d(r14957, x, MPFR_RNDN);
        mpfr_sin(r14958, r14957, MPFR_RNDN);
        mpfr_sqr(r14959, r14958, MPFR_RNDN);
        ;
        mpfr_cos(r14961, r14957, MPFR_RNDN);
        mpfr_add(r14962, r14960, r14961, MPFR_RNDN);
        mpfr_div(r14963, r14959, r14962, MPFR_RNDN);
        mpfr_sqrt(r14964, r14963, MPFR_RNDN);
        mpfr_div(r14965, r14964, r14957, MPFR_RNDN);
        mpfr_sqr(r14966, r14965, MPFR_RNDN);
        return mpfr_get_d(r14966, MPFR_RNDN);
}

static mpfr_t r14967, r14968, r14969, r14970, r14971, r14972, r14973, r14974, r14975, r14976;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14967);
        mpfr_init(r14968);
        mpfr_init(r14969);
        mpfr_init_set_str(r14970, "1", 10, MPFR_RNDN);
        mpfr_init(r14971);
        mpfr_init(r14972);
        mpfr_init(r14973);
        mpfr_init(r14974);
        mpfr_init(r14975);
        mpfr_init(r14976);
}

double f_dm(double x) {
        mpfr_set_d(r14967, x, MPFR_RNDN);
        mpfr_sin(r14968, r14967, MPFR_RNDN);
        mpfr_sqr(r14969, r14968, MPFR_RNDN);
        ;
        mpfr_cos(r14971, r14967, MPFR_RNDN);
        mpfr_add(r14972, r14970, r14971, MPFR_RNDN);
        mpfr_div(r14973, r14969, r14972, MPFR_RNDN);
        mpfr_sqrt(r14974, r14973, MPFR_RNDN);
        mpfr_div(r14975, r14974, r14967, MPFR_RNDN);
        mpfr_sqr(r14976, r14975, MPFR_RNDN);
        return mpfr_get_d(r14976, MPFR_RNDN);
}