#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 r21399 = x;
        float r21400 = eps;
        float r21401 = r21399 + r21400;
        float r21402 = cos(r21401);
        float r21403 = cos(r21399);
        float r21404 = r21402 - r21403;
        return r21404;
}

double f_id(double x, double eps) {
        double r21405 = x;
        double r21406 = eps;
        double r21407 = r21405 + r21406;
        double r21408 = cos(r21407);
        double r21409 = cos(r21405);
        double r21410 = r21408 - r21409;
        return r21410;
}


double f_of(float x, float eps) {
        float r21411 = eps;
        float r21412 = 2;
        float r21413 = r21411 / r21412;
        float r21414 = sin(r21413);
        float r21415 = x;
        float r21416 = r21415 + r21415;
        float r21417 = r21411 + r21416;
        float r21418 = r21417 / r21412;
        float r21419 = sin(r21418);
        float r21420 = cbrt(r21419);
        float r21421 = r21420 * r21420;
        float r21422 = cbrt(r21421);
        float r21423 = cbrt(r21420);
        float r21424 = r21422 * r21423;
        float r21425 = r21421 * r21424;
        float r21426 = r21414 * r21425;
        float r21427 = -0.0027770781152483773;
        bool r21428 = r21426 <= r21427;
        float r21429 = cos(r21415);
        float r21430 = cos(r21411);
        float r21431 = r21429 * r21430;
        float r21432 = sin(r21415);
        float r21433 = sin(r21411);
        float r21434 = r21432 * r21433;
        float r21435 = r21434 + r21429;
        float r21436 = r21431 - r21435;
        float r21437 = 9.895187161013057e-07;
        bool r21438 = r21426 <= r21437;
        float r21439 = -2;
        float r21440 = r21414 * r21419;
        float r21441 = r21439 * r21440;
        float r21442 = r21438 ? r21441 : r21436;
        float r21443 = r21428 ? r21436 : r21442;
        return r21443;
}

double f_od(double x, double eps) {
        double r21444 = eps;
        double r21445 = 2;
        double r21446 = r21444 / r21445;
        double r21447 = sin(r21446);
        double r21448 = x;
        double r21449 = r21448 + r21448;
        double r21450 = r21444 + r21449;
        double r21451 = r21450 / r21445;
        double r21452 = sin(r21451);
        double r21453 = cbrt(r21452);
        double r21454 = r21453 * r21453;
        double r21455 = cbrt(r21454);
        double r21456 = cbrt(r21453);
        double r21457 = r21455 * r21456;
        double r21458 = r21454 * r21457;
        double r21459 = r21447 * r21458;
        double r21460 = -0.0027770781152483773;
        bool r21461 = r21459 <= r21460;
        double r21462 = cos(r21448);
        double r21463 = cos(r21444);
        double r21464 = r21462 * r21463;
        double r21465 = sin(r21448);
        double r21466 = sin(r21444);
        double r21467 = r21465 * r21466;
        double r21468 = r21467 + r21462;
        double r21469 = r21464 - r21468;
        double r21470 = 9.895187161013057e-07;
        bool r21471 = r21459 <= r21470;
        double r21472 = -2;
        double r21473 = r21447 * r21452;
        double r21474 = r21472 * r21473;
        double r21475 = r21471 ? r21474 : r21469;
        double r21476 = r21461 ? r21469 : r21475;
        return r21476;
}

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 r21477, r21478, r21479, r21480, r21481, r21482;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21477);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
        mpfr_init(r21482);
}

double f_im(double x, double eps) {
        mpfr_set_d(r21477, x, MPFR_RNDN);
        mpfr_set_d(r21478, eps, MPFR_RNDN);
        mpfr_add(r21479, r21477, r21478, MPFR_RNDN);
        mpfr_cos(r21480, r21479, MPFR_RNDN);
        mpfr_cos(r21481, r21477, MPFR_RNDN);
        mpfr_sub(r21482, r21480, r21481, MPFR_RNDN);
        return mpfr_get_d(r21482, MPFR_RNDN);
}

static mpfr_t r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21483);
        mpfr_init_set_str(r21484, "2", 10, MPFR_RNDN);
        mpfr_init(r21485);
        mpfr_init(r21486);
        mpfr_init(r21487);
        mpfr_init(r21488);
        mpfr_init(r21489);
        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_set_str(r21499, "-0.0027770781152483773", 10, MPFR_RNDN);
        mpfr_init(r21500);
        mpfr_init(r21501);
        mpfr_init(r21502);
        mpfr_init(r21503);
        mpfr_init(r21504);
        mpfr_init(r21505);
        mpfr_init(r21506);
        mpfr_init(r21507);
        mpfr_init(r21508);
        mpfr_init_set_str(r21509, "9.895187161013057e-07", 10, MPFR_RNDN);
        mpfr_init(r21510);
        mpfr_init_set_str(r21511, "-2", 10, MPFR_RNDN);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r21483, eps, MPFR_RNDN);
        ;
        mpfr_div(r21485, r21483, r21484, MPFR_RNDN);
        mpfr_sin(r21486, r21485, MPFR_RNDN);
        mpfr_set_d(r21487, x, MPFR_RNDN);
        mpfr_add(r21488, r21487, r21487, MPFR_RNDN);
        mpfr_add(r21489, r21483, r21488, MPFR_RNDN);
        mpfr_div(r21490, r21489, r21484, MPFR_RNDN);
        mpfr_sin(r21491, r21490, MPFR_RNDN);
        mpfr_cbrt(r21492, r21491, MPFR_RNDN);
        mpfr_mul(r21493, r21492, r21492, MPFR_RNDN);
        mpfr_cbrt(r21494, r21493, MPFR_RNDN);
        mpfr_cbrt(r21495, r21492, MPFR_RNDN);
        mpfr_mul(r21496, r21494, r21495, MPFR_RNDN);
        mpfr_mul(r21497, r21493, r21496, MPFR_RNDN);
        mpfr_mul(r21498, r21486, r21497, MPFR_RNDN);
        ;
        mpfr_set_si(r21500, mpfr_cmp(r21498, r21499) <= 0, MPFR_RNDN);
        mpfr_cos(r21501, r21487, MPFR_RNDN);
        mpfr_cos(r21502, r21483, MPFR_RNDN);
        mpfr_mul(r21503, r21501, r21502, MPFR_RNDN);
        mpfr_sin(r21504, r21487, MPFR_RNDN);
        mpfr_sin(r21505, r21483, MPFR_RNDN);
        mpfr_mul(r21506, r21504, r21505, MPFR_RNDN);
        mpfr_add(r21507, r21506, r21501, MPFR_RNDN);
        mpfr_sub(r21508, r21503, r21507, MPFR_RNDN);
        ;
        mpfr_set_si(r21510, mpfr_cmp(r21498, r21509) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21512, r21486, r21491, MPFR_RNDN);
        mpfr_mul(r21513, r21511, r21512, MPFR_RNDN);
        if (mpfr_get_si(r21510, MPFR_RNDN)) { mpfr_set(r21514, r21513, MPFR_RNDN); } else { mpfr_set(r21514, r21508, MPFR_RNDN); };
        if (mpfr_get_si(r21500, MPFR_RNDN)) { mpfr_set(r21515, r21508, MPFR_RNDN); } else { mpfr_set(r21515, r21514, MPFR_RNDN); };
        return mpfr_get_d(r21515, MPFR_RNDN);
}

static mpfr_t r21516, r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21516);
        mpfr_init_set_str(r21517, "2", 10, MPFR_RNDN);
        mpfr_init(r21518);
        mpfr_init(r21519);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
        mpfr_init(r21523);
        mpfr_init(r21524);
        mpfr_init(r21525);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init(r21528);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init_set_str(r21532, "-0.0027770781152483773", 10, MPFR_RNDN);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
        mpfr_init(r21536);
        mpfr_init(r21537);
        mpfr_init(r21538);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init(r21541);
        mpfr_init_set_str(r21542, "9.895187161013057e-07", 10, MPFR_RNDN);
        mpfr_init(r21543);
        mpfr_init_set_str(r21544, "-2", 10, MPFR_RNDN);
        mpfr_init(r21545);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init(r21548);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r21516, eps, MPFR_RNDN);
        ;
        mpfr_div(r21518, r21516, r21517, MPFR_RNDN);
        mpfr_sin(r21519, r21518, MPFR_RNDN);
        mpfr_set_d(r21520, x, MPFR_RNDN);
        mpfr_add(r21521, r21520, r21520, MPFR_RNDN);
        mpfr_add(r21522, r21516, r21521, MPFR_RNDN);
        mpfr_div(r21523, r21522, r21517, MPFR_RNDN);
        mpfr_sin(r21524, r21523, MPFR_RNDN);
        mpfr_cbrt(r21525, r21524, MPFR_RNDN);
        mpfr_mul(r21526, r21525, r21525, MPFR_RNDN);
        mpfr_cbrt(r21527, r21526, MPFR_RNDN);
        mpfr_cbrt(r21528, r21525, MPFR_RNDN);
        mpfr_mul(r21529, r21527, r21528, MPFR_RNDN);
        mpfr_mul(r21530, r21526, r21529, MPFR_RNDN);
        mpfr_mul(r21531, r21519, r21530, MPFR_RNDN);
        ;
        mpfr_set_si(r21533, mpfr_cmp(r21531, r21532) <= 0, MPFR_RNDN);
        mpfr_cos(r21534, r21520, MPFR_RNDN);
        mpfr_cos(r21535, r21516, MPFR_RNDN);
        mpfr_mul(r21536, r21534, r21535, MPFR_RNDN);
        mpfr_sin(r21537, r21520, MPFR_RNDN);
        mpfr_sin(r21538, r21516, MPFR_RNDN);
        mpfr_mul(r21539, r21537, r21538, MPFR_RNDN);
        mpfr_add(r21540, r21539, r21534, MPFR_RNDN);
        mpfr_sub(r21541, r21536, r21540, MPFR_RNDN);
        ;
        mpfr_set_si(r21543, mpfr_cmp(r21531, r21542) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21545, r21519, r21524, MPFR_RNDN);
        mpfr_mul(r21546, r21544, r21545, MPFR_RNDN);
        if (mpfr_get_si(r21543, MPFR_RNDN)) { mpfr_set(r21547, r21546, MPFR_RNDN); } else { mpfr_set(r21547, r21541, MPFR_RNDN); };
        if (mpfr_get_si(r21533, MPFR_RNDN)) { mpfr_set(r21548, r21541, MPFR_RNDN); } else { mpfr_set(r21548, r21547, MPFR_RNDN); };
        return mpfr_get_d(r21548, MPFR_RNDN);
}