#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 r20043 = 1;
        float r20044 = x;
        float r20045 = cos(r20044);
        float r20046 = r20043 - r20045;
        float r20047 = r20044 * r20044;
        float r20048 = r20046 / r20047;
        return r20048;
}

double f_id(double x) {
        double r20049 = 1;
        double r20050 = x;
        double r20051 = cos(r20050);
        double r20052 = r20049 - r20051;
        double r20053 = r20050 * r20050;
        double r20054 = r20052 / r20053;
        return r20054;
}


double f_of(float x) {
        float r20055 = x;
        float r20056 = sin(r20055);
        float r20057 = r20056 / r20055;
        float r20058 = 1;
        float r20059 = cos(r20055);
        float r20060 = r20058 + r20059;
        float r20061 = r20056 / r20060;
        float r20062 = r20061 / r20055;
        float r20063 = r20057 * r20062;
        return r20063;
}

double f_od(double x) {
        double r20064 = x;
        double r20065 = sin(r20064);
        double r20066 = r20065 / r20064;
        double r20067 = 1;
        double r20068 = cos(r20064);
        double r20069 = r20067 + r20068;
        double r20070 = r20065 / r20069;
        double r20071 = r20070 / r20064;
        double r20072 = r20066 * r20071;
        return r20072;
}

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 r20073, r20074, r20075, r20076, r20077, r20078;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r20073, "1", 10, MPFR_RNDN);
        mpfr_init(r20074);
        mpfr_init(r20075);
        mpfr_init(r20076);
        mpfr_init(r20077);
        mpfr_init(r20078);
}

double f_im(double x) {
        ;
        mpfr_set_d(r20074, x, MPFR_RNDN);
        mpfr_cos(r20075, r20074, MPFR_RNDN);
        mpfr_sub(r20076, r20073, r20075, MPFR_RNDN);
        mpfr_mul(r20077, r20074, r20074, MPFR_RNDN);
        mpfr_div(r20078, r20076, r20077, MPFR_RNDN);
        return mpfr_get_d(r20078, MPFR_RNDN);
}

static mpfr_t r20079, r20080, r20081, r20082, r20083, r20084, r20085, r20086, r20087;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20079);
        mpfr_init(r20080);
        mpfr_init(r20081);
        mpfr_init_set_str(r20082, "1", 10, MPFR_RNDN);
        mpfr_init(r20083);
        mpfr_init(r20084);
        mpfr_init(r20085);
        mpfr_init(r20086);
        mpfr_init(r20087);
}

double f_fm(double x) {
        mpfr_set_d(r20079, x, MPFR_RNDN);
        mpfr_sin(r20080, r20079, MPFR_RNDN);
        mpfr_div(r20081, r20080, r20079, MPFR_RNDN);
        ;
        mpfr_cos(r20083, r20079, MPFR_RNDN);
        mpfr_add(r20084, r20082, r20083, MPFR_RNDN);
        mpfr_div(r20085, r20080, r20084, MPFR_RNDN);
        mpfr_div(r20086, r20085, r20079, MPFR_RNDN);
        mpfr_mul(r20087, r20081, r20086, MPFR_RNDN);
        return mpfr_get_d(r20087, MPFR_RNDN);
}

static mpfr_t r20088, r20089, r20090, r20091, r20092, r20093, r20094, r20095, r20096;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20088);
        mpfr_init(r20089);
        mpfr_init(r20090);
        mpfr_init_set_str(r20091, "1", 10, MPFR_RNDN);
        mpfr_init(r20092);
        mpfr_init(r20093);
        mpfr_init(r20094);
        mpfr_init(r20095);
        mpfr_init(r20096);
}

double f_dm(double x) {
        mpfr_set_d(r20088, x, MPFR_RNDN);
        mpfr_sin(r20089, r20088, MPFR_RNDN);
        mpfr_div(r20090, r20089, r20088, MPFR_RNDN);
        ;
        mpfr_cos(r20092, r20088, MPFR_RNDN);
        mpfr_add(r20093, r20091, r20092, MPFR_RNDN);
        mpfr_div(r20094, r20089, r20093, MPFR_RNDN);
        mpfr_div(r20095, r20094, r20088, MPFR_RNDN);
        mpfr_mul(r20096, r20090, r20095, MPFR_RNDN);
        return mpfr_get_d(r20096, MPFR_RNDN);
}