#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 r20031 = 1;
        float r20032 = x;
        float r20033 = cos(r20032);
        float r20034 = r20031 - r20033;
        float r20035 = r20032 * r20032;
        float r20036 = r20034 / r20035;
        return r20036;
}

double f_id(double x) {
        double r20037 = 1;
        double r20038 = x;
        double r20039 = cos(r20038);
        double r20040 = r20037 - r20039;
        double r20041 = r20038 * r20038;
        double r20042 = r20040 / r20041;
        return r20042;
}


double f_of(float x) {
        float r20043 = x;
        float r20044 = sin(r20043);
        float r20045 = r20044 / r20043;
        float r20046 = 1;
        float r20047 = cos(r20043);
        float r20048 = r20046 + r20047;
        float r20049 = r20044 / r20048;
        float r20050 = r20049 / r20043;
        float r20051 = r20045 * r20050;
        return r20051;
}

double f_od(double x) {
        double r20052 = x;
        double r20053 = sin(r20052);
        double r20054 = r20053 / r20052;
        double r20055 = 1;
        double r20056 = cos(r20052);
        double r20057 = r20055 + r20056;
        double r20058 = r20053 / r20057;
        double r20059 = r20058 / r20052;
        double r20060 = r20054 * r20059;
        return r20060;
}

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 r20061, r20062, r20063, r20064, r20065, r20066;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r20061, "1", 10, MPFR_RNDN);
        mpfr_init(r20062);
        mpfr_init(r20063);
        mpfr_init(r20064);
        mpfr_init(r20065);
        mpfr_init(r20066);
}

double f_im(double x) {
        ;
        mpfr_set_d(r20062, x, MPFR_RNDN);
        mpfr_cos(r20063, r20062, MPFR_RNDN);
        mpfr_sub(r20064, r20061, r20063, MPFR_RNDN);
        mpfr_mul(r20065, r20062, r20062, MPFR_RNDN);
        mpfr_div(r20066, r20064, r20065, MPFR_RNDN);
        return mpfr_get_d(r20066, MPFR_RNDN);
}

static mpfr_t r20067, r20068, r20069, r20070, r20071, r20072, r20073, r20074, r20075;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20067);
        mpfr_init(r20068);
        mpfr_init(r20069);
        mpfr_init_set_str(r20070, "1", 10, MPFR_RNDN);
        mpfr_init(r20071);
        mpfr_init(r20072);
        mpfr_init(r20073);
        mpfr_init(r20074);
        mpfr_init(r20075);
}

double f_fm(double x) {
        mpfr_set_d(r20067, x, MPFR_RNDN);
        mpfr_sin(r20068, r20067, MPFR_RNDN);
        mpfr_div(r20069, r20068, r20067, MPFR_RNDN);
        ;
        mpfr_cos(r20071, r20067, MPFR_RNDN);
        mpfr_add(r20072, r20070, r20071, MPFR_RNDN);
        mpfr_div(r20073, r20068, r20072, MPFR_RNDN);
        mpfr_div(r20074, r20073, r20067, MPFR_RNDN);
        mpfr_mul(r20075, r20069, r20074, MPFR_RNDN);
        return mpfr_get_d(r20075, MPFR_RNDN);
}

static mpfr_t r20076, r20077, r20078, r20079, r20080, r20081, r20082, r20083, r20084;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20076);
        mpfr_init(r20077);
        mpfr_init(r20078);
        mpfr_init_set_str(r20079, "1", 10, MPFR_RNDN);
        mpfr_init(r20080);
        mpfr_init(r20081);
        mpfr_init(r20082);
        mpfr_init(r20083);
        mpfr_init(r20084);
}

double f_dm(double x) {
        mpfr_set_d(r20076, x, MPFR_RNDN);
        mpfr_sin(r20077, r20076, MPFR_RNDN);
        mpfr_div(r20078, r20077, r20076, MPFR_RNDN);
        ;
        mpfr_cos(r20080, r20076, MPFR_RNDN);
        mpfr_add(r20081, r20079, r20080, MPFR_RNDN);
        mpfr_div(r20082, r20077, r20081, MPFR_RNDN);
        mpfr_div(r20083, r20082, r20076, MPFR_RNDN);
        mpfr_mul(r20084, r20078, r20083, MPFR_RNDN);
        return mpfr_get_d(r20084, MPFR_RNDN);
}