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

char *name = "NMSE problem 3.3.5";

double f_if(float x, float eps) {
        float r15315 = x;
        float r15316 = eps;
        float r15317 = r15315 + r15316;
        float r15318 = cos(r15317);
        float r15319 = cos(r15315);
        float r15320 = r15318 - r15319;
        return r15320;
}

double f_id(double x, double eps) {
        double r15321 = x;
        double r15322 = eps;
        double r15323 = r15321 + r15322;
        double r15324 = cos(r15323);
        double r15325 = cos(r15321);
        double r15326 = r15324 - r15325;
        return r15326;
}


double f_of(float x, float eps) {
        float r15327 = eps;
        float r15328 = -5.084423344895139e-11f;
        bool r15329 = r15327 <= r15328;
        float r15330 = x;
        float r15331 = cos(r15330);
        float r15332 = cos(r15327);
        float r15333 = r15331 * r15332;
        float r15334 = sin(r15330);
        float r15335 = sin(r15327);
        float r15336 = r15334 * r15335;
        float r15337 = r15333 - r15336;
        float r15338 = r15337 - r15331;
        float r15339 = exp(r15338);
        float r15340 = log(r15339);
        float r15341 = 0.056213882732527594f;
        bool r15342 = r15327 <= r15341;
        float r15343 = 0.16666666666666666f;
        float r15344 = r15327 * r15343;
        float r15345 = r15334 * r15344;
        float r15346 = 0.5f;
        float r15347 = r15346 * r15331;
        float r15348 = r15345 - r15347;
        float r15349 = r15327 * r15327;
        float r15350 = r15348 * r15349;
        float r15351 = r15327 * r15334;
        float r15352 = r15350 - r15351;
        float r15353 = r15342 ? r15352 : r15340;
        float r15354 = r15329 ? r15340 : r15353;
        return r15354;
}

double f_od(double x, double eps) {
        double r15355 = eps;
        double r15356 = -5.084423344895139e-11;
        bool r15357 = r15355 <= r15356;
        double r15358 = x;
        double r15359 = cos(r15358);
        double r15360 = cos(r15355);
        double r15361 = r15359 * r15360;
        double r15362 = sin(r15358);
        double r15363 = sin(r15355);
        double r15364 = r15362 * r15363;
        double r15365 = r15361 - r15364;
        double r15366 = r15365 - r15359;
        double r15367 = exp(r15366);
        double r15368 = log(r15367);
        double r15369 = 0.056213882732527594;
        bool r15370 = r15355 <= r15369;
        double r15371 = 0.16666666666666666;
        double r15372 = r15355 * r15371;
        double r15373 = r15362 * r15372;
        double r15374 = 0.5;
        double r15375 = r15374 * r15359;
        double r15376 = r15373 - r15375;
        double r15377 = r15355 * r15355;
        double r15378 = r15376 * r15377;
        double r15379 = r15355 * r15362;
        double r15380 = r15378 - r15379;
        double r15381 = r15370 ? r15380 : r15368;
        double r15382 = r15357 ? r15368 : r15381;
        return r15382;
}

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 r15383, r15384, r15385, r15386, r15387, r15388;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15383);
        mpfr_init(r15384);
        mpfr_init(r15385);
        mpfr_init(r15386);
        mpfr_init(r15387);
        mpfr_init(r15388);
}

double f_im(double x, double eps) {
        mpfr_set_d(r15383, x, MPFR_RNDN);
        mpfr_set_d(r15384, eps, MPFR_RNDN);
        mpfr_add(r15385, r15383, r15384, MPFR_RNDN);
        mpfr_cos(r15386, r15385, MPFR_RNDN);
        mpfr_cos(r15387, r15383, MPFR_RNDN);
        mpfr_sub(r15388, r15386, r15387, MPFR_RNDN);
        return mpfr_get_d(r15388, MPFR_RNDN);
}

static mpfr_t r15389, r15390, r15391, r15392, r15393, r15394, r15395, r15396, r15397, r15398, r15399, r15400, r15401, r15402, r15403, r15404, r15405, r15406, r15407, r15408, r15409, r15410, r15411, r15412, r15413, r15414, r15415, r15416;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15389);
        mpfr_init_set_str(r15390, "-5.084423344895139e-11", 10, MPFR_RNDN);
        mpfr_init(r15391);
        mpfr_init(r15392);
        mpfr_init(r15393);
        mpfr_init(r15394);
        mpfr_init(r15395);
        mpfr_init(r15396);
        mpfr_init(r15397);
        mpfr_init(r15398);
        mpfr_init(r15399);
        mpfr_init(r15400);
        mpfr_init(r15401);
        mpfr_init(r15402);
        mpfr_init_set_str(r15403, "0.056213882732527594", 10, MPFR_RNDN);
        mpfr_init(r15404);
        mpfr_init_set_str(r15405, "1/6", 10, MPFR_RNDN);
        mpfr_init(r15406);
        mpfr_init(r15407);
        mpfr_init_set_str(r15408, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15409);
        mpfr_init(r15410);
        mpfr_init(r15411);
        mpfr_init(r15412);
        mpfr_init(r15413);
        mpfr_init(r15414);
        mpfr_init(r15415);
        mpfr_init(r15416);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r15389, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r15391, mpfr_cmp(r15389, r15390) <= 0, MPFR_RNDN);
        mpfr_set_d(r15392, x, MPFR_RNDN);
        mpfr_cos(r15393, r15392, MPFR_RNDN);
        mpfr_cos(r15394, r15389, MPFR_RNDN);
        mpfr_mul(r15395, r15393, r15394, MPFR_RNDN);
        mpfr_sin(r15396, r15392, MPFR_RNDN);
        mpfr_sin(r15397, r15389, MPFR_RNDN);
        mpfr_mul(r15398, r15396, r15397, MPFR_RNDN);
        mpfr_sub(r15399, r15395, r15398, MPFR_RNDN);
        mpfr_sub(r15400, r15399, r15393, MPFR_RNDN);
        mpfr_exp(r15401, r15400, MPFR_RNDN);
        mpfr_log(r15402, r15401, MPFR_RNDN);
        ;
        mpfr_set_si(r15404, mpfr_cmp(r15389, r15403) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15406, r15389, r15405, MPFR_RNDN);
        mpfr_mul(r15407, r15396, r15406, MPFR_RNDN);
        ;
        mpfr_mul(r15409, r15408, r15393, MPFR_RNDN);
        mpfr_sub(r15410, r15407, r15409, MPFR_RNDN);
        mpfr_mul(r15411, r15389, r15389, MPFR_RNDN);
        mpfr_mul(r15412, r15410, r15411, MPFR_RNDN);
        mpfr_mul(r15413, r15389, r15396, MPFR_RNDN);
        mpfr_sub(r15414, r15412, r15413, MPFR_RNDN);
        if (mpfr_get_si(r15404, MPFR_RNDN)) { mpfr_set(r15415, r15414, MPFR_RNDN); } else { mpfr_set(r15415, r15402, MPFR_RNDN); };
        if (mpfr_get_si(r15391, MPFR_RNDN)) { mpfr_set(r15416, r15402, MPFR_RNDN); } else { mpfr_set(r15416, r15415, MPFR_RNDN); };
        return mpfr_get_d(r15416, MPFR_RNDN);
}

static mpfr_t r15417, r15418, r15419, r15420, r15421, r15422, r15423, r15424, r15425, r15426, r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435, r15436, r15437, r15438, r15439, r15440, r15441, r15442, r15443, r15444;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15417);
        mpfr_init_set_str(r15418, "-5.084423344895139e-11", 10, MPFR_RNDN);
        mpfr_init(r15419);
        mpfr_init(r15420);
        mpfr_init(r15421);
        mpfr_init(r15422);
        mpfr_init(r15423);
        mpfr_init(r15424);
        mpfr_init(r15425);
        mpfr_init(r15426);
        mpfr_init(r15427);
        mpfr_init(r15428);
        mpfr_init(r15429);
        mpfr_init(r15430);
        mpfr_init_set_str(r15431, "0.056213882732527594", 10, MPFR_RNDN);
        mpfr_init(r15432);
        mpfr_init_set_str(r15433, "1/6", 10, MPFR_RNDN);
        mpfr_init(r15434);
        mpfr_init(r15435);
        mpfr_init_set_str(r15436, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15437);
        mpfr_init(r15438);
        mpfr_init(r15439);
        mpfr_init(r15440);
        mpfr_init(r15441);
        mpfr_init(r15442);
        mpfr_init(r15443);
        mpfr_init(r15444);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r15417, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r15419, mpfr_cmp(r15417, r15418) <= 0, MPFR_RNDN);
        mpfr_set_d(r15420, x, MPFR_RNDN);
        mpfr_cos(r15421, r15420, MPFR_RNDN);
        mpfr_cos(r15422, r15417, MPFR_RNDN);
        mpfr_mul(r15423, r15421, r15422, MPFR_RNDN);
        mpfr_sin(r15424, r15420, MPFR_RNDN);
        mpfr_sin(r15425, r15417, MPFR_RNDN);
        mpfr_mul(r15426, r15424, r15425, MPFR_RNDN);
        mpfr_sub(r15427, r15423, r15426, MPFR_RNDN);
        mpfr_sub(r15428, r15427, r15421, MPFR_RNDN);
        mpfr_exp(r15429, r15428, MPFR_RNDN);
        mpfr_log(r15430, r15429, MPFR_RNDN);
        ;
        mpfr_set_si(r15432, mpfr_cmp(r15417, r15431) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15434, r15417, r15433, MPFR_RNDN);
        mpfr_mul(r15435, r15424, r15434, MPFR_RNDN);
        ;
        mpfr_mul(r15437, r15436, r15421, MPFR_RNDN);
        mpfr_sub(r15438, r15435, r15437, MPFR_RNDN);
        mpfr_mul(r15439, r15417, r15417, MPFR_RNDN);
        mpfr_mul(r15440, r15438, r15439, MPFR_RNDN);
        mpfr_mul(r15441, r15417, r15424, MPFR_RNDN);
        mpfr_sub(r15442, r15440, r15441, MPFR_RNDN);
        if (mpfr_get_si(r15432, MPFR_RNDN)) { mpfr_set(r15443, r15442, MPFR_RNDN); } else { mpfr_set(r15443, r15430, MPFR_RNDN); };
        if (mpfr_get_si(r15419, MPFR_RNDN)) { mpfr_set(r15444, r15430, MPFR_RNDN); } else { mpfr_set(r15444, r15443, MPFR_RNDN); };
        return mpfr_get_d(r15444, MPFR_RNDN);
}

