#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 r20381 = x;
        float r20382 = eps;
        float r20383 = r20381 + r20382;
        float r20384 = cos(r20383);
        float r20385 = cos(r20381);
        float r20386 = r20384 - r20385;
        return r20386;
}

double f_id(double x, double eps) {
        double r20387 = x;
        double r20388 = eps;
        double r20389 = r20387 + r20388;
        double r20390 = cos(r20389);
        double r20391 = cos(r20387);
        double r20392 = r20390 - r20391;
        return r20392;
}


double f_of(float x, float eps) {
        float r20393 = eps;
        float r20394 = -843.3970976391065;
        bool r20395 = r20393 <= r20394;
        float r20396 = x;
        float r20397 = cos(r20396);
        float r20398 = cos(r20393);
        float r20399 = r20397 * r20398;
        float r20400 = sin(r20396);
        float r20401 = sin(r20393);
        float r20402 = r20400 * r20401;
        float r20403 = r20399 - r20402;
        float r20404 = r20403 - r20397;
        float r20405 = 0.7431075649161416;
        bool r20406 = r20393 <= r20405;
        float r20407 = -2;
        float r20408 = 2;
        float r20409 = r20393 / r20408;
        float r20410 = sin(r20409);
        float r20411 = r20407 * r20410;
        float r20412 = r20396 + r20396;
        float r20413 = r20393 + r20412;
        float r20414 = r20413 / r20408;
        float r20415 = sin(r20414);
        float r20416 = r20411 * r20415;
        float r20417 = r20406 ? r20416 : r20404;
        float r20418 = r20395 ? r20404 : r20417;
        return r20418;
}

double f_od(double x, double eps) {
        double r20419 = eps;
        double r20420 = -843.3970976391065;
        bool r20421 = r20419 <= r20420;
        double r20422 = x;
        double r20423 = cos(r20422);
        double r20424 = cos(r20419);
        double r20425 = r20423 * r20424;
        double r20426 = sin(r20422);
        double r20427 = sin(r20419);
        double r20428 = r20426 * r20427;
        double r20429 = r20425 - r20428;
        double r20430 = r20429 - r20423;
        double r20431 = 0.7431075649161416;
        bool r20432 = r20419 <= r20431;
        double r20433 = -2;
        double r20434 = 2;
        double r20435 = r20419 / r20434;
        double r20436 = sin(r20435);
        double r20437 = r20433 * r20436;
        double r20438 = r20422 + r20422;
        double r20439 = r20419 + r20438;
        double r20440 = r20439 / r20434;
        double r20441 = sin(r20440);
        double r20442 = r20437 * r20441;
        double r20443 = r20432 ? r20442 : r20430;
        double r20444 = r20421 ? r20430 : r20443;
        return r20444;
}

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 r20445, r20446, r20447, r20448, r20449, r20450;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20445);
        mpfr_init(r20446);
        mpfr_init(r20447);
        mpfr_init(r20448);
        mpfr_init(r20449);
        mpfr_init(r20450);
}

double f_im(double x, double eps) {
        mpfr_set_d(r20445, x, MPFR_RNDN);
        mpfr_set_d(r20446, eps, MPFR_RNDN);
        mpfr_add(r20447, r20445, r20446, MPFR_RNDN);
        mpfr_cos(r20448, r20447, MPFR_RNDN);
        mpfr_cos(r20449, r20445, MPFR_RNDN);
        mpfr_sub(r20450, r20448, r20449, MPFR_RNDN);
        return mpfr_get_d(r20450, MPFR_RNDN);
}

static mpfr_t r20451, r20452, r20453, r20454, r20455, r20456, r20457, r20458, r20459, r20460, r20461, r20462, r20463, r20464, r20465, r20466, r20467, r20468, r20469, r20470, r20471, r20472, r20473, r20474, r20475, r20476;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20451);
        mpfr_init_set_str(r20452, "-843.3970976391065", 10, MPFR_RNDN);
        mpfr_init(r20453);
        mpfr_init(r20454);
        mpfr_init(r20455);
        mpfr_init(r20456);
        mpfr_init(r20457);
        mpfr_init(r20458);
        mpfr_init(r20459);
        mpfr_init(r20460);
        mpfr_init(r20461);
        mpfr_init(r20462);
        mpfr_init_set_str(r20463, "0.7431075649161416", 10, MPFR_RNDN);
        mpfr_init(r20464);
        mpfr_init_set_str(r20465, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r20466, "2", 10, MPFR_RNDN);
        mpfr_init(r20467);
        mpfr_init(r20468);
        mpfr_init(r20469);
        mpfr_init(r20470);
        mpfr_init(r20471);
        mpfr_init(r20472);
        mpfr_init(r20473);
        mpfr_init(r20474);
        mpfr_init(r20475);
        mpfr_init(r20476);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r20451, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r20453, mpfr_cmp(r20451, r20452) <= 0, MPFR_RNDN);
        mpfr_set_d(r20454, x, MPFR_RNDN);
        mpfr_cos(r20455, r20454, MPFR_RNDN);
        mpfr_cos(r20456, r20451, MPFR_RNDN);
        mpfr_mul(r20457, r20455, r20456, MPFR_RNDN);
        mpfr_sin(r20458, r20454, MPFR_RNDN);
        mpfr_sin(r20459, r20451, MPFR_RNDN);
        mpfr_mul(r20460, r20458, r20459, MPFR_RNDN);
        mpfr_sub(r20461, r20457, r20460, MPFR_RNDN);
        mpfr_sub(r20462, r20461, r20455, MPFR_RNDN);
        ;
        mpfr_set_si(r20464, mpfr_cmp(r20451, r20463) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r20467, r20451, r20466, MPFR_RNDN);
        mpfr_sin(r20468, r20467, MPFR_RNDN);
        mpfr_mul(r20469, r20465, r20468, MPFR_RNDN);
        mpfr_add(r20470, r20454, r20454, MPFR_RNDN);
        mpfr_add(r20471, r20451, r20470, MPFR_RNDN);
        mpfr_div(r20472, r20471, r20466, MPFR_RNDN);
        mpfr_sin(r20473, r20472, MPFR_RNDN);
        mpfr_mul(r20474, r20469, r20473, MPFR_RNDN);
        if (mpfr_get_si(r20464, MPFR_RNDN)) { mpfr_set(r20475, r20474, MPFR_RNDN); } else { mpfr_set(r20475, r20462, MPFR_RNDN); };
        if (mpfr_get_si(r20453, MPFR_RNDN)) { mpfr_set(r20476, r20462, MPFR_RNDN); } else { mpfr_set(r20476, r20475, MPFR_RNDN); };
        return mpfr_get_d(r20476, MPFR_RNDN);
}

static mpfr_t r20477, r20478, r20479, r20480, r20481, r20482, r20483, r20484, r20485, r20486, r20487, r20488, r20489, r20490, r20491, r20492, r20493, r20494, r20495, r20496, r20497, r20498, r20499, r20500, r20501, r20502;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20477);
        mpfr_init_set_str(r20478, "-843.3970976391065", 10, MPFR_RNDN);
        mpfr_init(r20479);
        mpfr_init(r20480);
        mpfr_init(r20481);
        mpfr_init(r20482);
        mpfr_init(r20483);
        mpfr_init(r20484);
        mpfr_init(r20485);
        mpfr_init(r20486);
        mpfr_init(r20487);
        mpfr_init(r20488);
        mpfr_init_set_str(r20489, "0.7431075649161416", 10, MPFR_RNDN);
        mpfr_init(r20490);
        mpfr_init_set_str(r20491, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r20492, "2", 10, MPFR_RNDN);
        mpfr_init(r20493);
        mpfr_init(r20494);
        mpfr_init(r20495);
        mpfr_init(r20496);
        mpfr_init(r20497);
        mpfr_init(r20498);
        mpfr_init(r20499);
        mpfr_init(r20500);
        mpfr_init(r20501);
        mpfr_init(r20502);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r20477, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r20479, mpfr_cmp(r20477, r20478) <= 0, MPFR_RNDN);
        mpfr_set_d(r20480, x, MPFR_RNDN);
        mpfr_cos(r20481, r20480, MPFR_RNDN);
        mpfr_cos(r20482, r20477, MPFR_RNDN);
        mpfr_mul(r20483, r20481, r20482, MPFR_RNDN);
        mpfr_sin(r20484, r20480, MPFR_RNDN);
        mpfr_sin(r20485, r20477, MPFR_RNDN);
        mpfr_mul(r20486, r20484, r20485, MPFR_RNDN);
        mpfr_sub(r20487, r20483, r20486, MPFR_RNDN);
        mpfr_sub(r20488, r20487, r20481, MPFR_RNDN);
        ;
        mpfr_set_si(r20490, mpfr_cmp(r20477, r20489) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r20493, r20477, r20492, MPFR_RNDN);
        mpfr_sin(r20494, r20493, MPFR_RNDN);
        mpfr_mul(r20495, r20491, r20494, MPFR_RNDN);
        mpfr_add(r20496, r20480, r20480, MPFR_RNDN);
        mpfr_add(r20497, r20477, r20496, MPFR_RNDN);
        mpfr_div(r20498, r20497, r20492, MPFR_RNDN);
        mpfr_sin(r20499, r20498, MPFR_RNDN);
        mpfr_mul(r20500, r20495, r20499, MPFR_RNDN);
        if (mpfr_get_si(r20490, MPFR_RNDN)) { mpfr_set(r20501, r20500, MPFR_RNDN); } else { mpfr_set(r20501, r20488, MPFR_RNDN); };
        if (mpfr_get_si(r20479, MPFR_RNDN)) { mpfr_set(r20502, r20488, MPFR_RNDN); } else { mpfr_set(r20502, r20501, MPFR_RNDN); };
        return mpfr_get_d(r20502, MPFR_RNDN);
}