#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 r21453 = x;
        float r21454 = eps;
        float r21455 = r21453 + r21454;
        float r21456 = cos(r21455);
        float r21457 = cos(r21453);
        float r21458 = r21456 - r21457;
        return r21458;
}

double f_id(double x, double eps) {
        double r21459 = x;
        double r21460 = eps;
        double r21461 = r21459 + r21460;
        double r21462 = cos(r21461);
        double r21463 = cos(r21459);
        double r21464 = r21462 - r21463;
        return r21464;
}


double f_of(float x, float eps) {
        float r21465 = x;
        float r21466 = cos(r21465);
        float r21467 = eps;
        float r21468 = cos(r21467);
        float r21469 = r21466 * r21468;
        float r21470 = sin(r21465);
        float r21471 = sin(r21467);
        float r21472 = r21470 * r21471;
        float r21473 = r21472 + r21466;
        float r21474 = r21469 - r21473;
        float r21475 = -4.9605718847045566e-06;
        bool r21476 = r21474 <= r21475;
        float r21477 = 0.0074821018658793315;
        bool r21478 = r21474 <= r21477;
        float r21479 = -2;
        float r21480 = 2;
        float r21481 = r21467 / r21480;
        float r21482 = sin(r21481);
        float r21483 = r21465 + r21465;
        float r21484 = r21467 + r21483;
        float r21485 = r21484 / r21480;
        float r21486 = sin(r21485);
        float r21487 = r21482 * r21486;
        float r21488 = r21479 * r21487;
        float r21489 = +inf.0;
        bool r21490 = r21474 <= r21489;
        float r21491 = r21490 ? r21474 : r21474;
        float r21492 = r21478 ? r21488 : r21491;
        float r21493 = r21476 ? r21474 : r21492;
        return r21493;
}

double f_od(double x, double eps) {
        double r21494 = x;
        double r21495 = cos(r21494);
        double r21496 = eps;
        double r21497 = cos(r21496);
        double r21498 = r21495 * r21497;
        double r21499 = sin(r21494);
        double r21500 = sin(r21496);
        double r21501 = r21499 * r21500;
        double r21502 = r21501 + r21495;
        double r21503 = r21498 - r21502;
        double r21504 = -4.9605718847045566e-06;
        bool r21505 = r21503 <= r21504;
        double r21506 = 0.0074821018658793315;
        bool r21507 = r21503 <= r21506;
        double r21508 = -2;
        double r21509 = 2;
        double r21510 = r21496 / r21509;
        double r21511 = sin(r21510);
        double r21512 = r21494 + r21494;
        double r21513 = r21496 + r21512;
        double r21514 = r21513 / r21509;
        double r21515 = sin(r21514);
        double r21516 = r21511 * r21515;
        double r21517 = r21508 * r21516;
        double r21518 = +inf.0;
        bool r21519 = r21503 <= r21518;
        double r21520 = r21519 ? r21503 : r21503;
        double r21521 = r21507 ? r21517 : r21520;
        double r21522 = r21505 ? r21503 : r21521;
        return r21522;
}

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 r21523, r21524, r21525, r21526, r21527, r21528;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21523);
        mpfr_init(r21524);
        mpfr_init(r21525);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init(r21528);
}

double f_im(double x, double eps) {
        mpfr_set_d(r21523, x, MPFR_RNDN);
        mpfr_set_d(r21524, eps, MPFR_RNDN);
        mpfr_add(r21525, r21523, r21524, MPFR_RNDN);
        mpfr_cos(r21526, r21525, MPFR_RNDN);
        mpfr_cos(r21527, r21523, MPFR_RNDN);
        mpfr_sub(r21528, r21526, r21527, MPFR_RNDN);
        return mpfr_get_d(r21528, MPFR_RNDN);
}

static mpfr_t r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548, r21549, r21550, r21551, r21552, r21553, r21554, r21555, r21556, r21557;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init(r21532);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
        mpfr_init(r21536);
        mpfr_init(r21537);
        mpfr_init(r21538);
        mpfr_init_set_str(r21539, "-4.9605718847045566e-06", 10, MPFR_RNDN);
        mpfr_init(r21540);
        mpfr_init_set_str(r21541, "0.0074821018658793315", 10, MPFR_RNDN);
        mpfr_init(r21542);
        mpfr_init_set_str(r21543, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21544, "2", 10, MPFR_RNDN);
        mpfr_init(r21545);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init(r21548);
        mpfr_init(r21549);
        mpfr_init(r21550);
        mpfr_init(r21551);
        mpfr_init(r21552);
        mpfr_init_set_str(r21553, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r21554);
        mpfr_init(r21555);
        mpfr_init(r21556);
        mpfr_init(r21557);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r21529, x, MPFR_RNDN);
        mpfr_cos(r21530, r21529, MPFR_RNDN);
        mpfr_set_d(r21531, eps, MPFR_RNDN);
        mpfr_cos(r21532, r21531, MPFR_RNDN);
        mpfr_mul(r21533, r21530, r21532, MPFR_RNDN);
        mpfr_sin(r21534, r21529, MPFR_RNDN);
        mpfr_sin(r21535, r21531, MPFR_RNDN);
        mpfr_mul(r21536, r21534, r21535, MPFR_RNDN);
        mpfr_add(r21537, r21536, r21530, MPFR_RNDN);
        mpfr_sub(r21538, r21533, r21537, MPFR_RNDN);
        ;
        mpfr_set_si(r21540, mpfr_cmp(r21538, r21539) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21542, mpfr_cmp(r21538, r21541) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21545, r21531, r21544, MPFR_RNDN);
        mpfr_sin(r21546, r21545, MPFR_RNDN);
        mpfr_add(r21547, r21529, r21529, MPFR_RNDN);
        mpfr_add(r21548, r21531, r21547, MPFR_RNDN);
        mpfr_div(r21549, r21548, r21544, MPFR_RNDN);
        mpfr_sin(r21550, r21549, MPFR_RNDN);
        mpfr_mul(r21551, r21546, r21550, MPFR_RNDN);
        mpfr_mul(r21552, r21543, r21551, MPFR_RNDN);
        ;
        mpfr_set_si(r21554, mpfr_cmp(r21538, r21553) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r21554, MPFR_RNDN)) { mpfr_set(r21555, r21538, MPFR_RNDN); } else { mpfr_set(r21555, r21538, MPFR_RNDN); };
        if (mpfr_get_si(r21542, MPFR_RNDN)) { mpfr_set(r21556, r21552, MPFR_RNDN); } else { mpfr_set(r21556, r21555, MPFR_RNDN); };
        if (mpfr_get_si(r21540, MPFR_RNDN)) { mpfr_set(r21557, r21538, MPFR_RNDN); } else { mpfr_set(r21557, r21556, MPFR_RNDN); };
        return mpfr_get_d(r21557, MPFR_RNDN);
}

static mpfr_t r21558, r21559, r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574, r21575, r21576, r21577, r21578, r21579, r21580, r21581, r21582, r21583, r21584, r21585, r21586;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21558);
        mpfr_init(r21559);
        mpfr_init(r21560);
        mpfr_init(r21561);
        mpfr_init(r21562);
        mpfr_init(r21563);
        mpfr_init(r21564);
        mpfr_init(r21565);
        mpfr_init(r21566);
        mpfr_init(r21567);
        mpfr_init_set_str(r21568, "-4.9605718847045566e-06", 10, MPFR_RNDN);
        mpfr_init(r21569);
        mpfr_init_set_str(r21570, "0.0074821018658793315", 10, MPFR_RNDN);
        mpfr_init(r21571);
        mpfr_init_set_str(r21572, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21573, "2", 10, MPFR_RNDN);
        mpfr_init(r21574);
        mpfr_init(r21575);
        mpfr_init(r21576);
        mpfr_init(r21577);
        mpfr_init(r21578);
        mpfr_init(r21579);
        mpfr_init(r21580);
        mpfr_init(r21581);
        mpfr_init_set_str(r21582, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r21583);
        mpfr_init(r21584);
        mpfr_init(r21585);
        mpfr_init(r21586);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r21558, x, MPFR_RNDN);
        mpfr_cos(r21559, r21558, MPFR_RNDN);
        mpfr_set_d(r21560, eps, MPFR_RNDN);
        mpfr_cos(r21561, r21560, MPFR_RNDN);
        mpfr_mul(r21562, r21559, r21561, MPFR_RNDN);
        mpfr_sin(r21563, r21558, MPFR_RNDN);
        mpfr_sin(r21564, r21560, MPFR_RNDN);
        mpfr_mul(r21565, r21563, r21564, MPFR_RNDN);
        mpfr_add(r21566, r21565, r21559, MPFR_RNDN);
        mpfr_sub(r21567, r21562, r21566, MPFR_RNDN);
        ;
        mpfr_set_si(r21569, mpfr_cmp(r21567, r21568) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21571, mpfr_cmp(r21567, r21570) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21574, r21560, r21573, MPFR_RNDN);
        mpfr_sin(r21575, r21574, MPFR_RNDN);
        mpfr_add(r21576, r21558, r21558, MPFR_RNDN);
        mpfr_add(r21577, r21560, r21576, MPFR_RNDN);
        mpfr_div(r21578, r21577, r21573, MPFR_RNDN);
        mpfr_sin(r21579, r21578, MPFR_RNDN);
        mpfr_mul(r21580, r21575, r21579, MPFR_RNDN);
        mpfr_mul(r21581, r21572, r21580, MPFR_RNDN);
        ;
        mpfr_set_si(r21583, mpfr_cmp(r21567, r21582) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r21583, MPFR_RNDN)) { mpfr_set(r21584, r21567, MPFR_RNDN); } else { mpfr_set(r21584, r21567, MPFR_RNDN); };
        if (mpfr_get_si(r21571, MPFR_RNDN)) { mpfr_set(r21585, r21581, MPFR_RNDN); } else { mpfr_set(r21585, r21584, MPFR_RNDN); };
        if (mpfr_get_si(r21569, MPFR_RNDN)) { mpfr_set(r21586, r21567, MPFR_RNDN); } else { mpfr_set(r21586, r21585, MPFR_RNDN); };
        return mpfr_get_d(r21586, MPFR_RNDN);
}