#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 r14923 = 1.0f;
        float r14924 = x;
        float r14925 = cos(r14924);
        float r14926 = r14923 - r14925;
        float r14927 = r14924 * r14924;
        float r14928 = r14926 / r14927;
        return r14928;
}

double f_id(double x) {
        double r14929 = 1.0;
        double r14930 = x;
        double r14931 = cos(r14930);
        double r14932 = r14929 - r14931;
        double r14933 = r14930 * r14930;
        double r14934 = r14932 / r14933;
        return r14934;
}


double f_of(float x) {
        float r14935 = x;
        float r14936 = sin(r14935);
        float r14937 = r14936 * r14936;
        float r14938 = 1.0f;
        float r14939 = cos(r14935);
        float r14940 = r14938 + r14939;
        float r14941 = r14937 / r14940;
        float r14942 = sqrt(r14941);
        float r14943 = r14942 / r14935;
        float r14944 = r14943 * r14943;
        return r14944;
}

double f_od(double x) {
        double r14945 = x;
        double r14946 = sin(r14945);
        double r14947 = r14946 * r14946;
        double r14948 = 1.0;
        double r14949 = cos(r14945);
        double r14950 = r14948 + r14949;
        double r14951 = r14947 / r14950;
        double r14952 = sqrt(r14951);
        double r14953 = r14952 / r14945;
        double r14954 = r14953 * r14953;
        return r14954;
}

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 r14955, r14956, r14957, r14958, r14959, r14960;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r14955, "1", 10, MPFR_RNDN);
        mpfr_init(r14956);
        mpfr_init(r14957);
        mpfr_init(r14958);
        mpfr_init(r14959);
        mpfr_init(r14960);
}

double f_im(double x) {
        ;
        mpfr_set_d(r14956, x, MPFR_RNDN);
        mpfr_cos(r14957, r14956, MPFR_RNDN);
        mpfr_sub(r14958, r14955, r14957, MPFR_RNDN);
        mpfr_sqr(r14959, r14956, MPFR_RNDN);
        mpfr_div(r14960, r14958, r14959, MPFR_RNDN);
        return mpfr_get_d(r14960, MPFR_RNDN);
}

static mpfr_t r14961, r14962, r14963, r14964, r14965, r14966, r14967, r14968, r14969, r14970;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14961);
        mpfr_init(r14962);
        mpfr_init(r14963);
        mpfr_init_set_str(r14964, "1", 10, MPFR_RNDN);
        mpfr_init(r14965);
        mpfr_init(r14966);
        mpfr_init(r14967);
        mpfr_init(r14968);
        mpfr_init(r14969);
        mpfr_init(r14970);
}

double f_fm(double x) {
        mpfr_set_d(r14961, x, MPFR_RNDN);
        mpfr_sin(r14962, r14961, MPFR_RNDN);
        mpfr_sqr(r14963, r14962, MPFR_RNDN);
        ;
        mpfr_cos(r14965, r14961, MPFR_RNDN);
        mpfr_add(r14966, r14964, r14965, MPFR_RNDN);
        mpfr_div(r14967, r14963, r14966, MPFR_RNDN);
        mpfr_sqrt(r14968, r14967, MPFR_RNDN);
        mpfr_div(r14969, r14968, r14961, MPFR_RNDN);
        mpfr_sqr(r14970, r14969, MPFR_RNDN);
        return mpfr_get_d(r14970, MPFR_RNDN);
}

static mpfr_t r14971, r14972, r14973, r14974, r14975, r14976, r14977, r14978, r14979, r14980;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r14971);
        mpfr_init(r14972);
        mpfr_init(r14973);
        mpfr_init_set_str(r14974, "1", 10, MPFR_RNDN);
        mpfr_init(r14975);
        mpfr_init(r14976);
        mpfr_init(r14977);
        mpfr_init(r14978);
        mpfr_init(r14979);
        mpfr_init(r14980);
}

double f_dm(double x) {
        mpfr_set_d(r14971, x, MPFR_RNDN);
        mpfr_sin(r14972, r14971, MPFR_RNDN);
        mpfr_sqr(r14973, r14972, MPFR_RNDN);
        ;
        mpfr_cos(r14975, r14971, MPFR_RNDN);
        mpfr_add(r14976, r14974, r14975, MPFR_RNDN);
        mpfr_div(r14977, r14973, r14976, MPFR_RNDN);
        mpfr_sqrt(r14978, r14977, MPFR_RNDN);
        mpfr_div(r14979, r14978, r14971, MPFR_RNDN);
        mpfr_sqr(r14980, r14979, MPFR_RNDN);
        return mpfr_get_d(r14980, MPFR_RNDN);
}