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

char *name = "NMSE problem 3.3.2";

double f_if(float x, float eps) {
        float r16272 = x;
        float r16273 = eps;
        float r16274 = r16272 + r16273;
        float r16275 = tan(r16274);
        float r16276 = tan(r16272);
        float r16277 = r16275 - r16276;
        return r16277;
}

double f_id(double x, double eps) {
        double r16278 = x;
        double r16279 = eps;
        double r16280 = r16278 + r16279;
        double r16281 = tan(r16280);
        double r16282 = tan(r16278);
        double r16283 = r16281 - r16282;
        return r16283;
}


double f_of(float x, float eps) {
        float r16284 = eps;
        float r16285 = -0.05251705580964073f;
        bool r16286 = r16284 <= r16285;
        float r16287 = x;
        float r16288 = 1.0 / tan(r16287);
        float r16289 = r16287 + r16284;
        float r16290 = sin(r16289);
        float r16291 = r16288 * r16290;
        float r16292 = 1.0f;
        float r16293 = r16292 / r16284;
        float r16294 = r16292 / r16287;
        float r16295 = r16293 + r16294;
        float r16296 = cos(r16295);
        float r16297 = r16291 - r16296;
        float r16298 = cos(r16289);
        float r16299 = r16298 * r16288;
        float r16300 = r16297 / r16299;
        float r16301 = 639.2159073015437f;
        bool r16302 = r16284 <= r16301;
        float r16303 = cos(r16287);
        float r16304 = r16284 / r16303;
        float r16305 = sin(r16287);
        float r16306 = r16303 / r16305;
        float r16307 = r16305 / r16306;
        float r16308 = r16284 * r16284;
        float r16309 = r16308 / r16303;
        float r16310 = r16305 * r16309;
        float r16311 = fma(r16304, r16307, r16310);
        float r16312 = r16303 * (r16303 * r16303);
        float r16313 = r16308 / r16312;
        float r16314 = r16305 * (r16305 * r16305);
        float r16315 = 0.3333333333333333f;
        float r16316 = r16284 * (r16284 * r16284);
        float r16317 = r16315 * r16316;
        float r16318 = fma(r16313, r16314, r16317);
        float r16319 = r16311 + r16318;
        float r16320 = 4.0f;
        float r16321 = pow(r16303, r16320);
        float r16322 = r16316 / r16321;
        float r16323 = pow(r16305, r16320);
        float r16324 = 1.3333333333333333f;
        float r16325 = r16324 / r16303;
        float r16326 = r16305 * r16305;
        float r16327 = r16303 / r16316;
        float r16328 = r16326 / r16327;
        float r16329 = fma(r16325, r16328, r16284);
        float r16330 = fma(r16322, r16323, r16329);
        float r16331 = r16319 + r16330;
        float r16332 = r16302 ? r16331 : r16300;
        float r16333 = r16286 ? r16300 : r16332;
        return r16333;
}

double f_od(double x, double eps) {
        double r16334 = eps;
        double r16335 = -0.05251705580964073;
        bool r16336 = r16334 <= r16335;
        double r16337 = x;
        double r16338 = 1.0 / tan(r16337);
        double r16339 = r16337 + r16334;
        double r16340 = sin(r16339);
        double r16341 = r16338 * r16340;
        double r16342 = 1.0;
        double r16343 = r16342 / r16334;
        double r16344 = r16342 / r16337;
        double r16345 = r16343 + r16344;
        double r16346 = cos(r16345);
        double r16347 = r16341 - r16346;
        double r16348 = cos(r16339);
        double r16349 = r16348 * r16338;
        double r16350 = r16347 / r16349;
        double r16351 = 639.2159073015437;
        bool r16352 = r16334 <= r16351;
        double r16353 = cos(r16337);
        double r16354 = r16334 / r16353;
        double r16355 = sin(r16337);
        double r16356 = r16353 / r16355;
        double r16357 = r16355 / r16356;
        double r16358 = r16334 * r16334;
        double r16359 = r16358 / r16353;
        double r16360 = r16355 * r16359;
        double r16361 = fma(r16354, r16357, r16360);
        double r16362 = r16353 * (r16353 * r16353);
        double r16363 = r16358 / r16362;
        double r16364 = r16355 * (r16355 * r16355);
        double r16365 = 0.3333333333333333;
        double r16366 = r16334 * (r16334 * r16334);
        double r16367 = r16365 * r16366;
        double r16368 = fma(r16363, r16364, r16367);
        double r16369 = r16361 + r16368;
        double r16370 = 4.0;
        double r16371 = pow(r16353, r16370);
        double r16372 = r16366 / r16371;
        double r16373 = pow(r16355, r16370);
        double r16374 = 1.3333333333333333;
        double r16375 = r16374 / r16353;
        double r16376 = r16355 * r16355;
        double r16377 = r16353 / r16366;
        double r16378 = r16376 / r16377;
        double r16379 = fma(r16375, r16378, r16334);
        double r16380 = fma(r16372, r16373, r16379);
        double r16381 = r16369 + r16380;
        double r16382 = r16352 ? r16381 : r16350;
        double r16383 = r16336 ? r16350 : r16382;
        return r16383;
}

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 r16384, r16385, r16386, r16387, r16388, r16389;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16384);
        mpfr_init(r16385);
        mpfr_init(r16386);
        mpfr_init(r16387);
        mpfr_init(r16388);
        mpfr_init(r16389);
}

double f_im(double x, double eps) {
        mpfr_set_d(r16384, x, MPFR_RNDN);
        mpfr_set_d(r16385, eps, MPFR_RNDN);
        mpfr_add(r16386, r16384, r16385, MPFR_RNDN);
        mpfr_tan(r16387, r16386, MPFR_RNDN);
        mpfr_tan(r16388, r16384, MPFR_RNDN);
        mpfr_sub(r16389, r16387, r16388, MPFR_RNDN);
        return mpfr_get_d(r16389, MPFR_RNDN);
}

static mpfr_t r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402, r16403, r16404, r16405, r16406, r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418, r16419, r16420, r16421, r16422, r16423, r16424, r16425, r16426, r16427, r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437, r16438, r16439;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16390);
        mpfr_init_set_str(r16391, "-0.05251705580964073", 10, MPFR_RNDN);
        mpfr_init(r16392);
        mpfr_init(r16393);
        mpfr_init(r16394);
        mpfr_init(r16395);
        mpfr_init(r16396);
        mpfr_init(r16397);
        mpfr_init_set_str(r16398, "1", 10, MPFR_RNDN);
        mpfr_init(r16399);
        mpfr_init(r16400);
        mpfr_init(r16401);
        mpfr_init(r16402);
        mpfr_init(r16403);
        mpfr_init(r16404);
        mpfr_init(r16405);
        mpfr_init(r16406);
        mpfr_init_set_str(r16407, "639.2159073015437", 10, MPFR_RNDN);
        mpfr_init(r16408);
        mpfr_init(r16409);
        mpfr_init(r16410);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
        mpfr_init(r16415);
        mpfr_init(r16416);
        mpfr_init(r16417);
        mpfr_init(r16418);
        mpfr_init(r16419);
        mpfr_init(r16420);
        mpfr_init_set_str(r16421, "1/3", 10, MPFR_RNDN);
        mpfr_init(r16422);
        mpfr_init(r16423);
        mpfr_init(r16424);
        mpfr_init(r16425);
        mpfr_init_set_str(r16426, "4", 10, MPFR_RNDN);
        mpfr_init(r16427);
        mpfr_init(r16428);
        mpfr_init(r16429);
        mpfr_init_set_str(r16430, "4/3", 10, MPFR_RNDN);
        mpfr_init(r16431);
        mpfr_init(r16432);
        mpfr_init(r16433);
        mpfr_init(r16434);
        mpfr_init(r16435);
        mpfr_init(r16436);
        mpfr_init(r16437);
        mpfr_init(r16438);
        mpfr_init(r16439);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r16390, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16392, mpfr_cmp(r16390, r16391) <= 0, MPFR_RNDN);
        mpfr_set_d(r16393, x, MPFR_RNDN);
        mpfr_cot(r16394, r16393, MPFR_RNDN);
        mpfr_add(r16395, r16393, r16390, MPFR_RNDN);
        mpfr_sin(r16396, r16395, MPFR_RNDN);
        mpfr_mul(r16397, r16394, r16396, MPFR_RNDN);
        ;
        mpfr_div(r16399, r16398, r16390, MPFR_RNDN);
        mpfr_div(r16400, r16398, r16393, MPFR_RNDN);
        mpfr_add(r16401, r16399, r16400, MPFR_RNDN);
        mpfr_cos(r16402, r16401, MPFR_RNDN);
        mpfr_sub(r16403, r16397, r16402, MPFR_RNDN);
        mpfr_cos(r16404, r16395, MPFR_RNDN);
        mpfr_mul(r16405, r16404, r16394, MPFR_RNDN);
        mpfr_div(r16406, r16403, r16405, MPFR_RNDN);
        ;
        mpfr_set_si(r16408, mpfr_cmp(r16390, r16407) <= 0, MPFR_RNDN);
        mpfr_cos(r16409, r16393, MPFR_RNDN);
        mpfr_div(r16410, r16390, r16409, MPFR_RNDN);
        mpfr_sin(r16411, r16393, MPFR_RNDN);
        mpfr_div(r16412, r16409, r16411, MPFR_RNDN);
        mpfr_div(r16413, r16411, r16412, MPFR_RNDN);
        mpfr_sqr(r16414, r16390, MPFR_RNDN);
        mpfr_div(r16415, r16414, r16409, MPFR_RNDN);
        mpfr_mul(r16416, r16411, r16415, MPFR_RNDN);
        mpfr_fma(r16417, r16410, r16413, r16416, MPFR_RNDN);
        mpfr_mul(r16418, r16409, r16409, MPFR_RNDN); mpfr_mul(r16418, r16418, r16409, MPFR_RNDN);
        mpfr_div(r16419, r16414, r16418, MPFR_RNDN);
        mpfr_mul(r16420, r16411, r16411, MPFR_RNDN); mpfr_mul(r16420, r16420, r16411, MPFR_RNDN);
        ;
        mpfr_mul(r16422, r16390, r16390, MPFR_RNDN); mpfr_mul(r16422, r16422, r16390, MPFR_RNDN);
        mpfr_mul(r16423, r16421, r16422, MPFR_RNDN);
        mpfr_fma(r16424, r16419, r16420, r16423, MPFR_RNDN);
        mpfr_add(r16425, r16417, r16424, MPFR_RNDN);
        ;
        mpfr_pow(r16427, r16409, r16426, MPFR_RNDN);
        mpfr_div(r16428, r16422, r16427, MPFR_RNDN);
        mpfr_pow(r16429, r16411, r16426, MPFR_RNDN);
        ;
        mpfr_div(r16431, r16430, r16409, MPFR_RNDN);
        mpfr_mul(r16432, r16411, r16411, MPFR_RNDN);
        mpfr_div(r16433, r16409, r16422, MPFR_RNDN);
        mpfr_div(r16434, r16432, r16433, MPFR_RNDN);
        mpfr_fma(r16435, r16431, r16434, r16390, MPFR_RNDN);
        mpfr_fma(r16436, r16428, r16429, r16435, MPFR_RNDN);
        mpfr_add(r16437, r16425, r16436, MPFR_RNDN);
        if (mpfr_get_si(r16408, MPFR_RNDN)) { mpfr_set(r16438, r16437, MPFR_RNDN); } else { mpfr_set(r16438, r16406, MPFR_RNDN); };
        if (mpfr_get_si(r16392, MPFR_RNDN)) { mpfr_set(r16439, r16406, MPFR_RNDN); } else { mpfr_set(r16439, r16438, MPFR_RNDN); };
        return mpfr_get_d(r16439, MPFR_RNDN);
}

static mpfr_t r16440, r16441, r16442, r16443, r16444, r16445, r16446, r16447, r16448, r16449, r16450, r16451, r16452, r16453, r16454, r16455, r16456, r16457, r16458, r16459, r16460, r16461, r16462, r16463, r16464, r16465, r16466, r16467, r16468, r16469, r16470, r16471, r16472, r16473, r16474, r16475, r16476, r16477, r16478, r16479, r16480, r16481, r16482, r16483, r16484, r16485, r16486, r16487, r16488, r16489;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16440);
        mpfr_init_set_str(r16441, "-0.05251705580964073", 10, MPFR_RNDN);
        mpfr_init(r16442);
        mpfr_init(r16443);
        mpfr_init(r16444);
        mpfr_init(r16445);
        mpfr_init(r16446);
        mpfr_init(r16447);
        mpfr_init_set_str(r16448, "1", 10, MPFR_RNDN);
        mpfr_init(r16449);
        mpfr_init(r16450);
        mpfr_init(r16451);
        mpfr_init(r16452);
        mpfr_init(r16453);
        mpfr_init(r16454);
        mpfr_init(r16455);
        mpfr_init(r16456);
        mpfr_init_set_str(r16457, "639.2159073015437", 10, MPFR_RNDN);
        mpfr_init(r16458);
        mpfr_init(r16459);
        mpfr_init(r16460);
        mpfr_init(r16461);
        mpfr_init(r16462);
        mpfr_init(r16463);
        mpfr_init(r16464);
        mpfr_init(r16465);
        mpfr_init(r16466);
        mpfr_init(r16467);
        mpfr_init(r16468);
        mpfr_init(r16469);
        mpfr_init(r16470);
        mpfr_init_set_str(r16471, "1/3", 10, MPFR_RNDN);
        mpfr_init(r16472);
        mpfr_init(r16473);
        mpfr_init(r16474);
        mpfr_init(r16475);
        mpfr_init_set_str(r16476, "4", 10, MPFR_RNDN);
        mpfr_init(r16477);
        mpfr_init(r16478);
        mpfr_init(r16479);
        mpfr_init_set_str(r16480, "4/3", 10, MPFR_RNDN);
        mpfr_init(r16481);
        mpfr_init(r16482);
        mpfr_init(r16483);
        mpfr_init(r16484);
        mpfr_init(r16485);
        mpfr_init(r16486);
        mpfr_init(r16487);
        mpfr_init(r16488);
        mpfr_init(r16489);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r16440, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16442, mpfr_cmp(r16440, r16441) <= 0, MPFR_RNDN);
        mpfr_set_d(r16443, x, MPFR_RNDN);
        mpfr_cot(r16444, r16443, MPFR_RNDN);
        mpfr_add(r16445, r16443, r16440, MPFR_RNDN);
        mpfr_sin(r16446, r16445, MPFR_RNDN);
        mpfr_mul(r16447, r16444, r16446, MPFR_RNDN);
        ;
        mpfr_div(r16449, r16448, r16440, MPFR_RNDN);
        mpfr_div(r16450, r16448, r16443, MPFR_RNDN);
        mpfr_add(r16451, r16449, r16450, MPFR_RNDN);
        mpfr_cos(r16452, r16451, MPFR_RNDN);
        mpfr_sub(r16453, r16447, r16452, MPFR_RNDN);
        mpfr_cos(r16454, r16445, MPFR_RNDN);
        mpfr_mul(r16455, r16454, r16444, MPFR_RNDN);
        mpfr_div(r16456, r16453, r16455, MPFR_RNDN);
        ;
        mpfr_set_si(r16458, mpfr_cmp(r16440, r16457) <= 0, MPFR_RNDN);
        mpfr_cos(r16459, r16443, MPFR_RNDN);
        mpfr_div(r16460, r16440, r16459, MPFR_RNDN);
        mpfr_sin(r16461, r16443, MPFR_RNDN);
        mpfr_div(r16462, r16459, r16461, MPFR_RNDN);
        mpfr_div(r16463, r16461, r16462, MPFR_RNDN);
        mpfr_sqr(r16464, r16440, MPFR_RNDN);
        mpfr_div(r16465, r16464, r16459, MPFR_RNDN);
        mpfr_mul(r16466, r16461, r16465, MPFR_RNDN);
        mpfr_fma(r16467, r16460, r16463, r16466, MPFR_RNDN);
        mpfr_mul(r16468, r16459, r16459, MPFR_RNDN); mpfr_mul(r16468, r16468, r16459, MPFR_RNDN);
        mpfr_div(r16469, r16464, r16468, MPFR_RNDN);
        mpfr_mul(r16470, r16461, r16461, MPFR_RNDN); mpfr_mul(r16470, r16470, r16461, MPFR_RNDN);
        ;
        mpfr_mul(r16472, r16440, r16440, MPFR_RNDN); mpfr_mul(r16472, r16472, r16440, MPFR_RNDN);
        mpfr_mul(r16473, r16471, r16472, MPFR_RNDN);
        mpfr_fma(r16474, r16469, r16470, r16473, MPFR_RNDN);
        mpfr_add(r16475, r16467, r16474, MPFR_RNDN);
        ;
        mpfr_pow(r16477, r16459, r16476, MPFR_RNDN);
        mpfr_div(r16478, r16472, r16477, MPFR_RNDN);
        mpfr_pow(r16479, r16461, r16476, MPFR_RNDN);
        ;
        mpfr_div(r16481, r16480, r16459, MPFR_RNDN);
        mpfr_mul(r16482, r16461, r16461, MPFR_RNDN);
        mpfr_div(r16483, r16459, r16472, MPFR_RNDN);
        mpfr_div(r16484, r16482, r16483, MPFR_RNDN);
        mpfr_fma(r16485, r16481, r16484, r16440, MPFR_RNDN);
        mpfr_fma(r16486, r16478, r16479, r16485, MPFR_RNDN);
        mpfr_add(r16487, r16475, r16486, MPFR_RNDN);
        if (mpfr_get_si(r16458, MPFR_RNDN)) { mpfr_set(r16488, r16487, MPFR_RNDN); } else { mpfr_set(r16488, r16456, MPFR_RNDN); };
        if (mpfr_get_si(r16442, MPFR_RNDN)) { mpfr_set(r16489, r16456, MPFR_RNDN); } else { mpfr_set(r16489, r16488, MPFR_RNDN); };
        return mpfr_get_d(r16489, MPFR_RNDN);
}

