#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 r21423 = x;
        float r21424 = eps;
        float r21425 = r21423 + r21424;
        float r21426 = cos(r21425);
        float r21427 = cos(r21423);
        float r21428 = r21426 - r21427;
        return r21428;
}

double f_id(double x, double eps) {
        double r21429 = x;
        double r21430 = eps;
        double r21431 = r21429 + r21430;
        double r21432 = cos(r21431);
        double r21433 = cos(r21429);
        double r21434 = r21432 - r21433;
        return r21434;
}


double f_of(float x, float eps) {
        float r21435 = x;
        float r21436 = cos(r21435);
        float r21437 = eps;
        float r21438 = cos(r21437);
        float r21439 = r21436 * r21438;
        float r21440 = sin(r21435);
        float r21441 = sin(r21437);
        float r21442 = r21440 * r21441;
        float r21443 = r21442 + r21436;
        float r21444 = r21439 - r21443;
        float r21445 = -4.9605718847045566e-06;
        bool r21446 = r21444 <= r21445;
        float r21447 = 0.0074821018658793315;
        bool r21448 = r21444 <= r21447;
        float r21449 = -2;
        float r21450 = 2;
        float r21451 = r21437 / r21450;
        float r21452 = sin(r21451);
        float r21453 = r21435 + r21435;
        float r21454 = r21437 + r21453;
        float r21455 = r21454 / r21450;
        float r21456 = sin(r21455);
        float r21457 = r21452 * r21456;
        float r21458 = r21449 * r21457;
        float r21459 = r21448 ? r21458 : r21444;
        float r21460 = r21446 ? r21444 : r21459;
        return r21460;
}

double f_od(double x, double eps) {
        double r21461 = x;
        double r21462 = cos(r21461);
        double r21463 = eps;
        double r21464 = cos(r21463);
        double r21465 = r21462 * r21464;
        double r21466 = sin(r21461);
        double r21467 = sin(r21463);
        double r21468 = r21466 * r21467;
        double r21469 = r21468 + r21462;
        double r21470 = r21465 - r21469;
        double r21471 = -4.9605718847045566e-06;
        bool r21472 = r21470 <= r21471;
        double r21473 = 0.0074821018658793315;
        bool r21474 = r21470 <= r21473;
        double r21475 = -2;
        double r21476 = 2;
        double r21477 = r21463 / r21476;
        double r21478 = sin(r21477);
        double r21479 = r21461 + r21461;
        double r21480 = r21463 + r21479;
        double r21481 = r21480 / r21476;
        double r21482 = sin(r21481);
        double r21483 = r21478 * r21482;
        double r21484 = r21475 * r21483;
        double r21485 = r21474 ? r21484 : r21470;
        double r21486 = r21472 ? r21470 : r21485;
        return r21486;
}

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 r21487, r21488, r21489, r21490, r21491, r21492;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21487);
        mpfr_init(r21488);
        mpfr_init(r21489);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
}

double f_im(double x, double eps) {
        mpfr_set_d(r21487, x, MPFR_RNDN);
        mpfr_set_d(r21488, eps, MPFR_RNDN);
        mpfr_add(r21489, r21487, r21488, MPFR_RNDN);
        mpfr_cos(r21490, r21489, MPFR_RNDN);
        mpfr_cos(r21491, r21487, MPFR_RNDN);
        mpfr_sub(r21492, r21490, r21491, MPFR_RNDN);
        return mpfr_get_d(r21492, MPFR_RNDN);
}

static mpfr_t r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21493);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
        mpfr_init(r21498);
        mpfr_init(r21499);
        mpfr_init(r21500);
        mpfr_init(r21501);
        mpfr_init(r21502);
        mpfr_init_set_str(r21503, "-4.9605718847045566e-06", 10, MPFR_RNDN);
        mpfr_init(r21504);
        mpfr_init_set_str(r21505, "0.0074821018658793315", 10, MPFR_RNDN);
        mpfr_init(r21506);
        mpfr_init_set_str(r21507, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21508, "2", 10, MPFR_RNDN);
        mpfr_init(r21509);
        mpfr_init(r21510);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
        mpfr_init(r21516);
        mpfr_init(r21517);
        mpfr_init(r21518);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r21493, x, MPFR_RNDN);
        mpfr_cos(r21494, r21493, MPFR_RNDN);
        mpfr_set_d(r21495, eps, MPFR_RNDN);
        mpfr_cos(r21496, r21495, MPFR_RNDN);
        mpfr_mul(r21497, r21494, r21496, MPFR_RNDN);
        mpfr_sin(r21498, r21493, MPFR_RNDN);
        mpfr_sin(r21499, r21495, MPFR_RNDN);
        mpfr_mul(r21500, r21498, r21499, MPFR_RNDN);
        mpfr_add(r21501, r21500, r21494, MPFR_RNDN);
        mpfr_sub(r21502, r21497, r21501, MPFR_RNDN);
        ;
        mpfr_set_si(r21504, mpfr_cmp(r21502, r21503) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21506, mpfr_cmp(r21502, r21505) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21509, r21495, r21508, MPFR_RNDN);
        mpfr_sin(r21510, r21509, MPFR_RNDN);
        mpfr_add(r21511, r21493, r21493, MPFR_RNDN);
        mpfr_add(r21512, r21495, r21511, MPFR_RNDN);
        mpfr_div(r21513, r21512, r21508, MPFR_RNDN);
        mpfr_sin(r21514, r21513, MPFR_RNDN);
        mpfr_mul(r21515, r21510, r21514, MPFR_RNDN);
        mpfr_mul(r21516, r21507, r21515, MPFR_RNDN);
        if (mpfr_get_si(r21506, MPFR_RNDN)) { mpfr_set(r21517, r21516, MPFR_RNDN); } else { mpfr_set(r21517, r21502, MPFR_RNDN); };
        if (mpfr_get_si(r21504, MPFR_RNDN)) { mpfr_set(r21518, r21502, MPFR_RNDN); } else { mpfr_set(r21518, r21517, MPFR_RNDN); };
        return mpfr_get_d(r21518, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        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_set_str(r21529, "-4.9605718847045566e-06", 10, MPFR_RNDN);
        mpfr_init(r21530);
        mpfr_init_set_str(r21531, "0.0074821018658793315", 10, MPFR_RNDN);
        mpfr_init(r21532);
        mpfr_init_set_str(r21533, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21534, "2", 10, MPFR_RNDN);
        mpfr_init(r21535);
        mpfr_init(r21536);
        mpfr_init(r21537);
        mpfr_init(r21538);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init(r21541);
        mpfr_init(r21542);
        mpfr_init(r21543);
        mpfr_init(r21544);
}

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