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

char *name = "2cos (problem 3.3.5)";

double f_if(float x, float eps) {
        float r21370 = x;
        float r21371 = eps;
        float r21372 = r21370 + r21371;
        float r21373 = cos(r21372);
        float r21374 = cos(r21370);
        float r21375 = r21373 - r21374;
        return r21375;
}

double f_id(double x, double eps) {
        double r21376 = x;
        double r21377 = eps;
        double r21378 = r21376 + r21377;
        double r21379 = cos(r21378);
        double r21380 = cos(r21376);
        double r21381 = r21379 - r21380;
        return r21381;
}


double f_of(float x, float eps) {
        float r21382 = x;
        float r21383 = cos(r21382);
        float r21384 = eps;
        float r21385 = cos(r21384);
        float r21386 = r21383 * r21385;
        float r21387 = sin(r21382);
        float r21388 = sin(r21384);
        float r21389 = r21387 * r21388;
        float r21390 = r21389 + r21383;
        float r21391 = r21386 - r21390;
        float r21392 = -0.006013102679142242;
        bool r21393 = r21391 <= r21392;
        float r21394 = r21386 - r21389;
        float r21395 = r21394 - r21383;
        float r21396 = 0.00021900192742763114;
        bool r21397 = r21391 <= r21396;
        float r21398 = -2;
        float r21399 = 2;
        float r21400 = r21384 / r21399;
        float r21401 = sin(r21400);
        float r21402 = r21382 + r21382;
        float r21403 = r21384 + r21402;
        float r21404 = r21403 / r21399;
        float r21405 = sin(r21404);
        float r21406 = r21401 * r21405;
        float r21407 = r21398 * r21406;
        float r21408 = r21397 ? r21407 : r21395;
        float r21409 = r21393 ? r21395 : r21408;
        return r21409;
}

double f_od(double x, double eps) {
        double r21410 = x;
        double r21411 = cos(r21410);
        double r21412 = eps;
        double r21413 = cos(r21412);
        double r21414 = r21411 * r21413;
        double r21415 = sin(r21410);
        double r21416 = sin(r21412);
        double r21417 = r21415 * r21416;
        double r21418 = r21417 + r21411;
        double r21419 = r21414 - r21418;
        double r21420 = -0.006013102679142242;
        bool r21421 = r21419 <= r21420;
        double r21422 = r21414 - r21417;
        double r21423 = r21422 - r21411;
        double r21424 = 0.00021900192742763114;
        bool r21425 = r21419 <= r21424;
        double r21426 = -2;
        double r21427 = 2;
        double r21428 = r21412 / r21427;
        double r21429 = sin(r21428);
        double r21430 = r21410 + r21410;
        double r21431 = r21412 + r21430;
        double r21432 = r21431 / r21427;
        double r21433 = sin(r21432);
        double r21434 = r21429 * r21433;
        double r21435 = r21426 * r21434;
        double r21436 = r21425 ? r21435 : r21423;
        double r21437 = r21421 ? r21423 : r21436;
        return r21437;
}

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 r21438, r21439, r21440, r21441, r21442, r21443;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21438);
        mpfr_init(r21439);
        mpfr_init(r21440);
        mpfr_init(r21441);
        mpfr_init(r21442);
        mpfr_init(r21443);
}

double f_im(double x, double eps) {
        mpfr_set_d(r21438, x, MPFR_RNDN);
        mpfr_set_d(r21439, eps, MPFR_RNDN);
        mpfr_add(r21440, r21438, r21439, MPFR_RNDN);
        mpfr_cos(r21441, r21440, MPFR_RNDN);
        mpfr_cos(r21442, r21438, MPFR_RNDN);
        mpfr_sub(r21443, r21441, r21442, MPFR_RNDN);
        return mpfr_get_d(r21443, MPFR_RNDN);
}

static mpfr_t r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452, r21453, r21454, r21455, r21456, r21457, r21458, r21459, r21460, r21461, r21462, r21463, r21464, r21465, r21466, r21467, r21468, r21469, r21470, r21471;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21444);
        mpfr_init(r21445);
        mpfr_init(r21446);
        mpfr_init(r21447);
        mpfr_init(r21448);
        mpfr_init(r21449);
        mpfr_init(r21450);
        mpfr_init(r21451);
        mpfr_init(r21452);
        mpfr_init(r21453);
        mpfr_init_set_str(r21454, "-0.006013102679142242", 10, MPFR_RNDN);
        mpfr_init(r21455);
        mpfr_init(r21456);
        mpfr_init(r21457);
        mpfr_init_set_str(r21458, "0.00021900192742763114", 10, MPFR_RNDN);
        mpfr_init(r21459);
        mpfr_init_set_str(r21460, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21461, "2", 10, MPFR_RNDN);
        mpfr_init(r21462);
        mpfr_init(r21463);
        mpfr_init(r21464);
        mpfr_init(r21465);
        mpfr_init(r21466);
        mpfr_init(r21467);
        mpfr_init(r21468);
        mpfr_init(r21469);
        mpfr_init(r21470);
        mpfr_init(r21471);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r21444, x, MPFR_RNDN);
        mpfr_cos(r21445, r21444, MPFR_RNDN);
        mpfr_set_d(r21446, eps, MPFR_RNDN);
        mpfr_cos(r21447, r21446, MPFR_RNDN);
        mpfr_mul(r21448, r21445, r21447, MPFR_RNDN);
        mpfr_sin(r21449, r21444, MPFR_RNDN);
        mpfr_sin(r21450, r21446, MPFR_RNDN);
        mpfr_mul(r21451, r21449, r21450, MPFR_RNDN);
        mpfr_add(r21452, r21451, r21445, MPFR_RNDN);
        mpfr_sub(r21453, r21448, r21452, MPFR_RNDN);
        ;
        mpfr_set_si(r21455, mpfr_cmp(r21453, r21454) <= 0, MPFR_RNDN);
        mpfr_sub(r21456, r21448, r21451, MPFR_RNDN);
        mpfr_sub(r21457, r21456, r21445, MPFR_RNDN);
        ;
        mpfr_set_si(r21459, mpfr_cmp(r21453, r21458) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21462, r21446, r21461, MPFR_RNDN);
        mpfr_sin(r21463, r21462, MPFR_RNDN);
        mpfr_add(r21464, r21444, r21444, MPFR_RNDN);
        mpfr_add(r21465, r21446, r21464, MPFR_RNDN);
        mpfr_div(r21466, r21465, r21461, MPFR_RNDN);
        mpfr_sin(r21467, r21466, MPFR_RNDN);
        mpfr_mul(r21468, r21463, r21467, MPFR_RNDN);
        mpfr_mul(r21469, r21460, r21468, MPFR_RNDN);
        if (mpfr_get_si(r21459, MPFR_RNDN)) { mpfr_set(r21470, r21469, MPFR_RNDN); } else { mpfr_set(r21470, r21457, MPFR_RNDN); };
        if (mpfr_get_si(r21455, MPFR_RNDN)) { mpfr_set(r21471, r21457, MPFR_RNDN); } else { mpfr_set(r21471, r21470, MPFR_RNDN); };
        return mpfr_get_d(r21471, MPFR_RNDN);
}

static mpfr_t r21472, r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481, r21482, r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21472);
        mpfr_init(r21473);
        mpfr_init(r21474);
        mpfr_init(r21475);
        mpfr_init(r21476);
        mpfr_init(r21477);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
        mpfr_init_set_str(r21482, "-0.006013102679142242", 10, MPFR_RNDN);
        mpfr_init(r21483);
        mpfr_init(r21484);
        mpfr_init(r21485);
        mpfr_init_set_str(r21486, "0.00021900192742763114", 10, MPFR_RNDN);
        mpfr_init(r21487);
        mpfr_init_set_str(r21488, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21489, "2", 10, MPFR_RNDN);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
        mpfr_init(r21493);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
        mpfr_init(r21498);
        mpfr_init(r21499);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r21472, x, MPFR_RNDN);
        mpfr_cos(r21473, r21472, MPFR_RNDN);
        mpfr_set_d(r21474, eps, MPFR_RNDN);
        mpfr_cos(r21475, r21474, MPFR_RNDN);
        mpfr_mul(r21476, r21473, r21475, MPFR_RNDN);
        mpfr_sin(r21477, r21472, MPFR_RNDN);
        mpfr_sin(r21478, r21474, MPFR_RNDN);
        mpfr_mul(r21479, r21477, r21478, MPFR_RNDN);
        mpfr_add(r21480, r21479, r21473, MPFR_RNDN);
        mpfr_sub(r21481, r21476, r21480, MPFR_RNDN);
        ;
        mpfr_set_si(r21483, mpfr_cmp(r21481, r21482) <= 0, MPFR_RNDN);
        mpfr_sub(r21484, r21476, r21479, MPFR_RNDN);
        mpfr_sub(r21485, r21484, r21473, MPFR_RNDN);
        ;
        mpfr_set_si(r21487, mpfr_cmp(r21481, r21486) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21490, r21474, r21489, MPFR_RNDN);
        mpfr_sin(r21491, r21490, MPFR_RNDN);
        mpfr_add(r21492, r21472, r21472, MPFR_RNDN);
        mpfr_add(r21493, r21474, r21492, MPFR_RNDN);
        mpfr_div(r21494, r21493, r21489, MPFR_RNDN);
        mpfr_sin(r21495, r21494, MPFR_RNDN);
        mpfr_mul(r21496, r21491, r21495, MPFR_RNDN);
        mpfr_mul(r21497, r21488, r21496, MPFR_RNDN);
        if (mpfr_get_si(r21487, MPFR_RNDN)) { mpfr_set(r21498, r21497, MPFR_RNDN); } else { mpfr_set(r21498, r21485, MPFR_RNDN); };
        if (mpfr_get_si(r21483, MPFR_RNDN)) { mpfr_set(r21499, r21485, MPFR_RNDN); } else { mpfr_set(r21499, r21498, MPFR_RNDN); };
        return mpfr_get_d(r21499, MPFR_RNDN);
}