#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 r15251 = x;
        float r15252 = eps;
        float r15253 = r15251 + r15252;
        float r15254 = cos(r15253);
        float r15255 = cos(r15251);
        float r15256 = r15254 - r15255;
        return r15256;
}

double f_id(double x, double eps) {
        double r15257 = x;
        double r15258 = eps;
        double r15259 = r15257 + r15258;
        double r15260 = cos(r15259);
        double r15261 = cos(r15257);
        double r15262 = r15260 - r15261;
        return r15262;
}


double f_of(float x, float eps) {
        float r15263 = eps;
        float r15264 = -4.037641697290413e-05f;
        bool r15265 = r15263 <= r15264;
        float r15266 = cos(r15263);
        float r15267 = x;
        float r15268 = cos(r15267);
        float r15269 = r15266 * r15268;
        float r15270 = r15269 * (r15269 * r15269);
        float r15271 = sin(r15267);
        float r15272 = sin(r15263);
        float r15273 = r15271 * r15272;
        float r15274 = r15268 + r15273;
        float r15275 = r15274 * (r15274 * r15274);
        float r15276 = r15270 - r15275;
        float r15277 = r15268 * r15266;
        float r15278 = r15277 * r15277;
        float r15279 = r15273 + r15268;
        float r15280 = r15279 * r15279;
        float r15281 = r15277 * r15279;
        float r15282 = r15280 + r15281;
        float r15283 = r15278 + r15282;
        float r15284 = r15276 / r15283;
        float r15285 = 0.0016565824112741959f;
        bool r15286 = r15263 <= r15285;
        float r15287 = 0.16666666666666666f;
        float r15288 = r15263 * r15287;
        float r15289 = r15271 * r15288;
        float r15290 = 0.5f;
        float r15291 = r15290 * r15268;
        float r15292 = r15289 - r15291;
        float r15293 = r15263 * r15263;
        float r15294 = r15292 * r15293;
        float r15295 = r15263 * r15271;
        float r15296 = r15294 - r15295;
        float r15297 = r15271 * (r15271 * r15271);
        float r15298 = r15272 * (r15272 * r15272);
        float r15299 = r15297 * r15298;
        float r15300 = cbrt(r15299);
        float r15301 = r15300 + r15268;
        float r15302 = r15277 - r15301;
        float r15303 = r15286 ? r15296 : r15302;
        float r15304 = r15265 ? r15284 : r15303;
        return r15304;
}

double f_od(double x, double eps) {
        double r15305 = eps;
        double r15306 = -4.037641697290413e-05;
        bool r15307 = r15305 <= r15306;
        double r15308 = cos(r15305);
        double r15309 = x;
        double r15310 = cos(r15309);
        double r15311 = r15308 * r15310;
        double r15312 = r15311 * (r15311 * r15311);
        double r15313 = sin(r15309);
        double r15314 = sin(r15305);
        double r15315 = r15313 * r15314;
        double r15316 = r15310 + r15315;
        double r15317 = r15316 * (r15316 * r15316);
        double r15318 = r15312 - r15317;
        double r15319 = r15310 * r15308;
        double r15320 = r15319 * r15319;
        double r15321 = r15315 + r15310;
        double r15322 = r15321 * r15321;
        double r15323 = r15319 * r15321;
        double r15324 = r15322 + r15323;
        double r15325 = r15320 + r15324;
        double r15326 = r15318 / r15325;
        double r15327 = 0.0016565824112741959;
        bool r15328 = r15305 <= r15327;
        double r15329 = 0.16666666666666666;
        double r15330 = r15305 * r15329;
        double r15331 = r15313 * r15330;
        double r15332 = 0.5;
        double r15333 = r15332 * r15310;
        double r15334 = r15331 - r15333;
        double r15335 = r15305 * r15305;
        double r15336 = r15334 * r15335;
        double r15337 = r15305 * r15313;
        double r15338 = r15336 - r15337;
        double r15339 = r15313 * (r15313 * r15313);
        double r15340 = r15314 * (r15314 * r15314);
        double r15341 = r15339 * r15340;
        double r15342 = cbrt(r15341);
        double r15343 = r15342 + r15310;
        double r15344 = r15319 - r15343;
        double r15345 = r15328 ? r15338 : r15344;
        double r15346 = r15307 ? r15326 : r15345;
        return r15346;
}

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 r15347, r15348, r15349, r15350, r15351, r15352;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15347);
        mpfr_init(r15348);
        mpfr_init(r15349);
        mpfr_init(r15350);
        mpfr_init(r15351);
        mpfr_init(r15352);
}

double f_im(double x, double eps) {
        mpfr_set_d(r15347, x, MPFR_RNDN);
        mpfr_set_d(r15348, eps, MPFR_RNDN);
        mpfr_add(r15349, r15347, r15348, MPFR_RNDN);
        mpfr_cos(r15350, r15349, MPFR_RNDN);
        mpfr_cos(r15351, r15347, MPFR_RNDN);
        mpfr_sub(r15352, r15350, r15351, MPFR_RNDN);
        return mpfr_get_d(r15352, MPFR_RNDN);
}

static mpfr_t r15353, r15354, r15355, r15356, r15357, r15358, r15359, r15360, r15361, r15362, r15363, r15364, r15365, r15366, r15367, r15368, r15369, r15370, r15371, r15372, r15373, r15374, r15375, r15376, r15377, r15378, r15379, r15380, r15381, r15382, r15383, r15384, r15385, r15386, r15387, r15388, r15389, r15390, r15391, r15392, r15393, r15394;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15353);
        mpfr_init_set_str(r15354, "-4.037641697290413e-05", 10, MPFR_RNDN);
        mpfr_init(r15355);
        mpfr_init(r15356);
        mpfr_init(r15357);
        mpfr_init(r15358);
        mpfr_init(r15359);
        mpfr_init(r15360);
        mpfr_init(r15361);
        mpfr_init(r15362);
        mpfr_init(r15363);
        mpfr_init(r15364);
        mpfr_init(r15365);
        mpfr_init(r15366);
        mpfr_init(r15367);
        mpfr_init(r15368);
        mpfr_init(r15369);
        mpfr_init(r15370);
        mpfr_init(r15371);
        mpfr_init(r15372);
        mpfr_init(r15373);
        mpfr_init(r15374);
        mpfr_init_set_str(r15375, "0.0016565824112741959", 10, MPFR_RNDN);
        mpfr_init(r15376);
        mpfr_init_set_str(r15377, "1/6", 10, MPFR_RNDN);
        mpfr_init(r15378);
        mpfr_init(r15379);
        mpfr_init_set_str(r15380, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15381);
        mpfr_init(r15382);
        mpfr_init(r15383);
        mpfr_init(r15384);
        mpfr_init(r15385);
        mpfr_init(r15386);
        mpfr_init(r15387);
        mpfr_init(r15388);
        mpfr_init(r15389);
        mpfr_init(r15390);
        mpfr_init(r15391);
        mpfr_init(r15392);
        mpfr_init(r15393);
        mpfr_init(r15394);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r15353, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r15355, mpfr_cmp(r15353, r15354) <= 0, MPFR_RNDN);
        mpfr_cos(r15356, r15353, MPFR_RNDN);
        mpfr_set_d(r15357, x, MPFR_RNDN);
        mpfr_cos(r15358, r15357, MPFR_RNDN);
        mpfr_mul(r15359, r15356, r15358, MPFR_RNDN);
        mpfr_mul(r15360, r15359, r15359, MPFR_RNDN); mpfr_mul(r15360, r15360, r15359, MPFR_RNDN);
        mpfr_sin(r15361, r15357, MPFR_RNDN);
        mpfr_sin(r15362, r15353, MPFR_RNDN);
        mpfr_mul(r15363, r15361, r15362, MPFR_RNDN);
        mpfr_add(r15364, r15358, r15363, MPFR_RNDN);
        mpfr_mul(r15365, r15364, r15364, MPFR_RNDN); mpfr_mul(r15365, r15365, r15364, MPFR_RNDN);
        mpfr_sub(r15366, r15360, r15365, MPFR_RNDN);
        mpfr_mul(r15367, r15358, r15356, MPFR_RNDN);
        mpfr_sqr(r15368, r15367, MPFR_RNDN);
        mpfr_add(r15369, r15363, r15358, MPFR_RNDN);
        mpfr_sqr(r15370, r15369, MPFR_RNDN);
        mpfr_mul(r15371, r15367, r15369, MPFR_RNDN);
        mpfr_add(r15372, r15370, r15371, MPFR_RNDN);
        mpfr_add(r15373, r15368, r15372, MPFR_RNDN);
        mpfr_div(r15374, r15366, r15373, MPFR_RNDN);
        ;
        mpfr_set_si(r15376, mpfr_cmp(r15353, r15375) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15378, r15353, r15377, MPFR_RNDN);
        mpfr_mul(r15379, r15361, r15378, MPFR_RNDN);
        ;
        mpfr_mul(r15381, r15380, r15358, MPFR_RNDN);
        mpfr_sub(r15382, r15379, r15381, MPFR_RNDN);
        mpfr_mul(r15383, r15353, r15353, MPFR_RNDN);
        mpfr_mul(r15384, r15382, r15383, MPFR_RNDN);
        mpfr_mul(r15385, r15353, r15361, MPFR_RNDN);
        mpfr_sub(r15386, r15384, r15385, MPFR_RNDN);
        mpfr_mul(r15387, r15361, r15361, MPFR_RNDN); mpfr_mul(r15387, r15387, r15361, MPFR_RNDN);
        mpfr_mul(r15388, r15362, r15362, MPFR_RNDN); mpfr_mul(r15388, r15388, r15362, MPFR_RNDN);
        mpfr_mul(r15389, r15387, r15388, MPFR_RNDN);
        mpfr_cbrt(r15390, r15389, MPFR_RNDN);
        mpfr_add(r15391, r15390, r15358, MPFR_RNDN);
        mpfr_sub(r15392, r15367, r15391, MPFR_RNDN);
        if (mpfr_get_si(r15376, MPFR_RNDN)) { mpfr_set(r15393, r15386, MPFR_RNDN); } else { mpfr_set(r15393, r15392, MPFR_RNDN); };
        if (mpfr_get_si(r15355, MPFR_RNDN)) { mpfr_set(r15394, r15374, MPFR_RNDN); } else { mpfr_set(r15394, r15393, MPFR_RNDN); };
        return mpfr_get_d(r15394, MPFR_RNDN);
}

static mpfr_t r15395, r15396, r15397, r15398, r15399, r15400, r15401, r15402, r15403, r15404, r15405, r15406, r15407, r15408, r15409, r15410, r15411, r15412, r15413, r15414, r15415, r15416, r15417, r15418, r15419, r15420, r15421, r15422, r15423, r15424, r15425, r15426, r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435, r15436;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15395);
        mpfr_init_set_str(r15396, "-4.037641697290413e-05", 10, MPFR_RNDN);
        mpfr_init(r15397);
        mpfr_init(r15398);
        mpfr_init(r15399);
        mpfr_init(r15400);
        mpfr_init(r15401);
        mpfr_init(r15402);
        mpfr_init(r15403);
        mpfr_init(r15404);
        mpfr_init(r15405);
        mpfr_init(r15406);
        mpfr_init(r15407);
        mpfr_init(r15408);
        mpfr_init(r15409);
        mpfr_init(r15410);
        mpfr_init(r15411);
        mpfr_init(r15412);
        mpfr_init(r15413);
        mpfr_init(r15414);
        mpfr_init(r15415);
        mpfr_init(r15416);
        mpfr_init_set_str(r15417, "0.0016565824112741959", 10, MPFR_RNDN);
        mpfr_init(r15418);
        mpfr_init_set_str(r15419, "1/6", 10, MPFR_RNDN);
        mpfr_init(r15420);
        mpfr_init(r15421);
        mpfr_init_set_str(r15422, "1/2", 10, MPFR_RNDN);
        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(r15431);
        mpfr_init(r15432);
        mpfr_init(r15433);
        mpfr_init(r15434);
        mpfr_init(r15435);
        mpfr_init(r15436);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r15395, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r15397, mpfr_cmp(r15395, r15396) <= 0, MPFR_RNDN);
        mpfr_cos(r15398, r15395, MPFR_RNDN);
        mpfr_set_d(r15399, x, MPFR_RNDN);
        mpfr_cos(r15400, r15399, MPFR_RNDN);
        mpfr_mul(r15401, r15398, r15400, MPFR_RNDN);
        mpfr_mul(r15402, r15401, r15401, MPFR_RNDN); mpfr_mul(r15402, r15402, r15401, MPFR_RNDN);
        mpfr_sin(r15403, r15399, MPFR_RNDN);
        mpfr_sin(r15404, r15395, MPFR_RNDN);
        mpfr_mul(r15405, r15403, r15404, MPFR_RNDN);
        mpfr_add(r15406, r15400, r15405, MPFR_RNDN);
        mpfr_mul(r15407, r15406, r15406, MPFR_RNDN); mpfr_mul(r15407, r15407, r15406, MPFR_RNDN);
        mpfr_sub(r15408, r15402, r15407, MPFR_RNDN);
        mpfr_mul(r15409, r15400, r15398, MPFR_RNDN);
        mpfr_sqr(r15410, r15409, MPFR_RNDN);
        mpfr_add(r15411, r15405, r15400, MPFR_RNDN);
        mpfr_sqr(r15412, r15411, MPFR_RNDN);
        mpfr_mul(r15413, r15409, r15411, MPFR_RNDN);
        mpfr_add(r15414, r15412, r15413, MPFR_RNDN);
        mpfr_add(r15415, r15410, r15414, MPFR_RNDN);
        mpfr_div(r15416, r15408, r15415, MPFR_RNDN);
        ;
        mpfr_set_si(r15418, mpfr_cmp(r15395, r15417) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15420, r15395, r15419, MPFR_RNDN);
        mpfr_mul(r15421, r15403, r15420, MPFR_RNDN);
        ;
        mpfr_mul(r15423, r15422, r15400, MPFR_RNDN);
        mpfr_sub(r15424, r15421, r15423, MPFR_RNDN);
        mpfr_mul(r15425, r15395, r15395, MPFR_RNDN);
        mpfr_mul(r15426, r15424, r15425, MPFR_RNDN);
        mpfr_mul(r15427, r15395, r15403, MPFR_RNDN);
        mpfr_sub(r15428, r15426, r15427, MPFR_RNDN);
        mpfr_mul(r15429, r15403, r15403, MPFR_RNDN); mpfr_mul(r15429, r15429, r15403, MPFR_RNDN);
        mpfr_mul(r15430, r15404, r15404, MPFR_RNDN); mpfr_mul(r15430, r15430, r15404, MPFR_RNDN);
        mpfr_mul(r15431, r15429, r15430, MPFR_RNDN);
        mpfr_cbrt(r15432, r15431, MPFR_RNDN);
        mpfr_add(r15433, r15432, r15400, MPFR_RNDN);
        mpfr_sub(r15434, r15409, r15433, MPFR_RNDN);
        if (mpfr_get_si(r15418, MPFR_RNDN)) { mpfr_set(r15435, r15428, MPFR_RNDN); } else { mpfr_set(r15435, r15434, MPFR_RNDN); };
        if (mpfr_get_si(r15397, MPFR_RNDN)) { mpfr_set(r15436, r15416, MPFR_RNDN); } else { mpfr_set(r15436, r15435, MPFR_RNDN); };
        return mpfr_get_d(r15436, MPFR_RNDN);
}

