#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "cos2 (problem 3.4.1)";

double f_if(float x) {
        float r21023 = 1;
        float r21024 = x;
        float r21025 = cos(r21024);
        float r21026 = r21023 - r21025;
        float r21027 = r21024 * r21024;
        float r21028 = r21026 / r21027;
        return r21028;
}

double f_id(double x) {
        double r21029 = 1;
        double r21030 = x;
        double r21031 = cos(r21030);
        double r21032 = r21029 - r21031;
        double r21033 = r21030 * r21030;
        double r21034 = r21032 / r21033;
        return r21034;
}


double f_of(float x) {
        float r21035 = x;
        float r21036 = sin(r21035);
        float r21037 = 1;
        float r21038 = cos(r21035);
        float r21039 = r21037 + r21038;
        float r21040 = sqrt(r21039);
        float r21041 = r21036 / r21040;
        float r21042 = r21041 / r21035;
        float r21043 = r21042 * r21042;
        return r21043;
}

double f_od(double x) {
        double r21044 = x;
        double r21045 = sin(r21044);
        double r21046 = 1;
        double r21047 = cos(r21044);
        double r21048 = r21046 + r21047;
        double r21049 = sqrt(r21048);
        double r21050 = r21045 / r21049;
        double r21051 = r21050 / r21044;
        double r21052 = r21051 * r21051;
        return r21052;
}

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 r21053, r21054, r21055, r21056, r21057, r21058;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r21053, "1", 10, MPFR_RNDN);
        mpfr_init(r21054);
        mpfr_init(r21055);
        mpfr_init(r21056);
        mpfr_init(r21057);
        mpfr_init(r21058);
}

double f_im(double x) {
        ;
        mpfr_set_d(r21054, x, MPFR_RNDN);
        mpfr_cos(r21055, r21054, MPFR_RNDN);
        mpfr_sub(r21056, r21053, r21055, MPFR_RNDN);
        mpfr_mul(r21057, r21054, r21054, MPFR_RNDN);
        mpfr_div(r21058, r21056, r21057, MPFR_RNDN);
        return mpfr_get_d(r21058, MPFR_RNDN);
}

static mpfr_t r21059, r21060, r21061, r21062, r21063, r21064, r21065, r21066, r21067;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21059);
        mpfr_init(r21060);
        mpfr_init_set_str(r21061, "1", 10, MPFR_RNDN);
        mpfr_init(r21062);
        mpfr_init(r21063);
        mpfr_init(r21064);
        mpfr_init(r21065);
        mpfr_init(r21066);
        mpfr_init(r21067);
}

double f_fm(double x) {
        mpfr_set_d(r21059, x, MPFR_RNDN);
        mpfr_sin(r21060, r21059, MPFR_RNDN);
        ;
        mpfr_cos(r21062, r21059, MPFR_RNDN);
        mpfr_add(r21063, r21061, r21062, MPFR_RNDN);
        mpfr_sqrt(r21064, r21063, MPFR_RNDN);
        mpfr_div(r21065, r21060, r21064, MPFR_RNDN);
        mpfr_div(r21066, r21065, r21059, MPFR_RNDN);
        mpfr_mul(r21067, r21066, r21066, MPFR_RNDN);
        return mpfr_get_d(r21067, MPFR_RNDN);
}

static mpfr_t r21068, r21069, r21070, r21071, r21072, r21073, r21074, r21075, r21076;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21068);
        mpfr_init(r21069);
        mpfr_init_set_str(r21070, "1", 10, MPFR_RNDN);
        mpfr_init(r21071);
        mpfr_init(r21072);
        mpfr_init(r21073);
        mpfr_init(r21074);
        mpfr_init(r21075);
        mpfr_init(r21076);
}

double f_dm(double x) {
        mpfr_set_d(r21068, x, MPFR_RNDN);
        mpfr_sin(r21069, r21068, MPFR_RNDN);
        ;
        mpfr_cos(r21071, r21068, MPFR_RNDN);
        mpfr_add(r21072, r21070, r21071, MPFR_RNDN);
        mpfr_sqrt(r21073, r21072, MPFR_RNDN);
        mpfr_div(r21074, r21069, r21073, MPFR_RNDN);
        mpfr_div(r21075, r21074, r21068, MPFR_RNDN);
        mpfr_mul(r21076, r21075, r21075, MPFR_RNDN);
        return mpfr_get_d(r21076, MPFR_RNDN);
}