#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 r16428 = x;
        float r16429 = eps;
        float r16430 = r16428 + r16429;
        float r16431 = tan(r16430);
        float r16432 = tan(r16428);
        float r16433 = r16431 - r16432;
        return r16433;
}

double f_id(double x, double eps) {
        double r16434 = x;
        double r16435 = eps;
        double r16436 = r16434 + r16435;
        double r16437 = tan(r16436);
        double r16438 = tan(r16434);
        double r16439 = r16437 - r16438;
        return r16439;
}


double f_of(float x, float eps) {
        float r16440 = eps;
        float r16441 = -0.0271004568785429f;
        bool r16442 = r16440 <= r16441;
        float r16443 = x;
        float r16444 = 1.0 / tan(r16443);
        float r16445 = r16443 + r16440;
        float r16446 = sin(r16445);
        float r16447 = r16444 * r16446;
        float r16448 = 1.0f;
        float r16449 = r16448 / r16440;
        float r16450 = r16448 / r16443;
        float r16451 = r16449 + r16450;
        float r16452 = cos(r16451);
        float r16453 = r16447 - r16452;
        float r16454 = cos(r16445);
        float r16455 = r16454 * r16444;
        float r16456 = r16453 / r16455;
        float r16457 = 0.00019073928706347942f;
        bool r16458 = r16440 <= r16457;
        float r16459 = cos(r16443);
        float r16460 = r16440 / r16459;
        float r16461 = sin(r16443);
        float r16462 = r16459 / r16461;
        float r16463 = r16461 / r16462;
        float r16464 = r16440 * r16440;
        float r16465 = r16464 / r16459;
        float r16466 = r16461 * r16465;
        float r16467 = fma(r16460, r16463, r16466);
        float r16468 = r16459 * (r16459 * r16459);
        float r16469 = r16464 / r16468;
        float r16470 = r16461 * (r16461 * r16461);
        float r16471 = 0.3333333432674408f;
        float r16472 = r16440 * (r16440 * r16440);
        float r16473 = r16471 * r16472;
        float r16474 = fma(r16469, r16470, r16473);
        float r16475 = r16467 + r16474;
        float r16476 = 4.0f;
        float r16477 = pow(r16459, r16476);
        float r16478 = r16472 / r16477;
        float r16479 = pow(r16461, r16476);
        float r16480 = 1.3333333730697632f;
        float r16481 = r16480 / r16459;
        float r16482 = r16461 * r16461;
        float r16483 = r16459 / r16472;
        float r16484 = r16482 / r16483;
        float r16485 = fma(r16481, r16484, r16440);
        float r16486 = fma(r16478, r16479, r16485);
        float r16487 = r16475 + r16486;
        float r16488 = r16440 + r16443;
        float r16489 = 1.0 / tan(r16488);
        float r16490 = r16489 * r16461;
        float r16491 = r16459 - r16490;
        float r16492 = 1.0 / tan(r16445);
        float r16493 = r16492 * r16459;
        float r16494 = r16491 / r16493;
        float r16495 = r16458 ? r16487 : r16494;
        float r16496 = r16442 ? r16456 : r16495;
        return r16496;
}

double f_od(double x, double eps) {
        double r16497 = eps;
        double r16498 = -0.0271004568785429;
        bool r16499 = r16497 <= r16498;
        double r16500 = x;
        double r16501 = 1.0 / tan(r16500);
        double r16502 = r16500 + r16497;
        double r16503 = sin(r16502);
        double r16504 = r16501 * r16503;
        double r16505 = 1.0;
        double r16506 = r16505 / r16497;
        double r16507 = r16505 / r16500;
        double r16508 = r16506 + r16507;
        double r16509 = cos(r16508);
        double r16510 = r16504 - r16509;
        double r16511 = cos(r16502);
        double r16512 = r16511 * r16501;
        double r16513 = r16510 / r16512;
        double r16514 = 0.00019073928706347942;
        bool r16515 = r16497 <= r16514;
        double r16516 = cos(r16500);
        double r16517 = r16497 / r16516;
        double r16518 = sin(r16500);
        double r16519 = r16516 / r16518;
        double r16520 = r16518 / r16519;
        double r16521 = r16497 * r16497;
        double r16522 = r16521 / r16516;
        double r16523 = r16518 * r16522;
        double r16524 = fma(r16517, r16520, r16523);
        double r16525 = r16516 * (r16516 * r16516);
        double r16526 = r16521 / r16525;
        double r16527 = r16518 * (r16518 * r16518);
        double r16528 = 0.3333333432674408;
        double r16529 = r16497 * (r16497 * r16497);
        double r16530 = r16528 * r16529;
        double r16531 = fma(r16526, r16527, r16530);
        double r16532 = r16524 + r16531;
        double r16533 = 4.0;
        double r16534 = pow(r16516, r16533);
        double r16535 = r16529 / r16534;
        double r16536 = pow(r16518, r16533);
        double r16537 = 1.3333333730697632;
        double r16538 = r16537 / r16516;
        double r16539 = r16518 * r16518;
        double r16540 = r16516 / r16529;
        double r16541 = r16539 / r16540;
        double r16542 = fma(r16538, r16541, r16497);
        double r16543 = fma(r16535, r16536, r16542);
        double r16544 = r16532 + r16543;
        double r16545 = r16497 + r16500;
        double r16546 = 1.0 / tan(r16545);
        double r16547 = r16546 * r16518;
        double r16548 = r16516 - r16547;
        double r16549 = 1.0 / tan(r16502);
        double r16550 = r16549 * r16516;
        double r16551 = r16548 / r16550;
        double r16552 = r16515 ? r16544 : r16551;
        double r16553 = r16499 ? r16513 : r16552;
        return r16553;
}

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 r16554, r16555, r16556, r16557, r16558, r16559;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16554);
        mpfr_init(r16555);
        mpfr_init(r16556);
        mpfr_init(r16557);
        mpfr_init(r16558);
        mpfr_init(r16559);
}

double f_im(double x, double eps) {
        mpfr_set_d(r16554, x, MPFR_RNDN);
        mpfr_set_d(r16555, eps, MPFR_RNDN);
        mpfr_add(r16556, r16554, r16555, MPFR_RNDN);
        mpfr_tan(r16557, r16556, MPFR_RNDN);
        mpfr_tan(r16558, r16554, MPFR_RNDN);
        mpfr_sub(r16559, r16557, r16558, MPFR_RNDN);
        return mpfr_get_d(r16559, MPFR_RNDN);
}

static mpfr_t r16560, r16561, r16562, r16563, r16564, r16565, r16566, r16567, r16568, r16569, r16570, r16571, r16572, r16573, r16574, r16575, r16576, r16577, r16578, r16579, r16580, r16581, r16582, r16583, r16584, r16585, r16586, r16587, r16588, r16589, r16590, r16591, r16592, r16593, r16594, r16595, r16596, r16597, r16598, r16599, r16600, r16601, r16602, r16603, r16604, r16605, r16606, r16607, r16608, r16609, r16610, r16611, r16612, r16613, r16614, r16615, r16616;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16560);
        mpfr_init_set_str(r16561, "-0.027100457f0", 10, MPFR_RNDN);
        mpfr_init(r16562);
        mpfr_init(r16563);
        mpfr_init(r16564);
        mpfr_init(r16565);
        mpfr_init(r16566);
        mpfr_init(r16567);
        mpfr_init_set_str(r16568, "1", 10, MPFR_RNDN);
        mpfr_init(r16569);
        mpfr_init(r16570);
        mpfr_init(r16571);
        mpfr_init(r16572);
        mpfr_init(r16573);
        mpfr_init(r16574);
        mpfr_init(r16575);
        mpfr_init(r16576);
        mpfr_init_set_str(r16577, "0.00019073929f0", 10, MPFR_RNDN);
        mpfr_init(r16578);
        mpfr_init(r16579);
        mpfr_init(r16580);
        mpfr_init(r16581);
        mpfr_init(r16582);
        mpfr_init(r16583);
        mpfr_init(r16584);
        mpfr_init(r16585);
        mpfr_init(r16586);
        mpfr_init(r16587);
        mpfr_init(r16588);
        mpfr_init(r16589);
        mpfr_init(r16590);
        mpfr_init_set_str(r16591, "1/3", 10, MPFR_RNDN);
        mpfr_init(r16592);
        mpfr_init(r16593);
        mpfr_init(r16594);
        mpfr_init(r16595);
        mpfr_init_set_str(r16596, "4", 10, MPFR_RNDN);
        mpfr_init(r16597);
        mpfr_init(r16598);
        mpfr_init(r16599);
        mpfr_init_set_str(r16600, "4/3", 10, MPFR_RNDN);
        mpfr_init(r16601);
        mpfr_init(r16602);
        mpfr_init(r16603);
        mpfr_init(r16604);
        mpfr_init(r16605);
        mpfr_init(r16606);
        mpfr_init(r16607);
        mpfr_init(r16608);
        mpfr_init(r16609);
        mpfr_init(r16610);
        mpfr_init(r16611);
        mpfr_init(r16612);
        mpfr_init(r16613);
        mpfr_init(r16614);
        mpfr_init(r16615);
        mpfr_init(r16616);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r16560, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16562, mpfr_cmp(r16560, r16561) <= 0, MPFR_RNDN);
        mpfr_set_d(r16563, x, MPFR_RNDN);
        mpfr_cot(r16564, r16563, MPFR_RNDN);
        mpfr_add(r16565, r16563, r16560, MPFR_RNDN);
        mpfr_sin(r16566, r16565, MPFR_RNDN);
        mpfr_mul(r16567, r16564, r16566, MPFR_RNDN);
        ;
        mpfr_div(r16569, r16568, r16560, MPFR_RNDN);
        mpfr_div(r16570, r16568, r16563, MPFR_RNDN);
        mpfr_add(r16571, r16569, r16570, MPFR_RNDN);
        mpfr_cos(r16572, r16571, MPFR_RNDN);
        mpfr_sub(r16573, r16567, r16572, MPFR_RNDN);
        mpfr_cos(r16574, r16565, MPFR_RNDN);
        mpfr_mul(r16575, r16574, r16564, MPFR_RNDN);
        mpfr_div(r16576, r16573, r16575, MPFR_RNDN);
        ;
        mpfr_set_si(r16578, mpfr_cmp(r16560, r16577) <= 0, MPFR_RNDN);
        mpfr_cos(r16579, r16563, MPFR_RNDN);
        mpfr_div(r16580, r16560, r16579, MPFR_RNDN);
        mpfr_sin(r16581, r16563, MPFR_RNDN);
        mpfr_div(r16582, r16579, r16581, MPFR_RNDN);
        mpfr_div(r16583, r16581, r16582, MPFR_RNDN);
        mpfr_sqr(r16584, r16560, MPFR_RNDN);
        mpfr_div(r16585, r16584, r16579, MPFR_RNDN);
        mpfr_mul(r16586, r16581, r16585, MPFR_RNDN);
        mpfr_fma(r16587, r16580, r16583, r16586, MPFR_RNDN);
        mpfr_mul(r16588, r16579, r16579, MPFR_RNDN); mpfr_mul(r16588, r16588, r16579, MPFR_RNDN);
        mpfr_div(r16589, r16584, r16588, MPFR_RNDN);
        mpfr_mul(r16590, r16581, r16581, MPFR_RNDN); mpfr_mul(r16590, r16590, r16581, MPFR_RNDN);
        ;
        mpfr_mul(r16592, r16560, r16560, MPFR_RNDN); mpfr_mul(r16592, r16592, r16560, MPFR_RNDN);
        mpfr_mul(r16593, r16591, r16592, MPFR_RNDN);
        mpfr_fma(r16594, r16589, r16590, r16593, MPFR_RNDN);
        mpfr_add(r16595, r16587, r16594, MPFR_RNDN);
        ;
        mpfr_pow(r16597, r16579, r16596, MPFR_RNDN);
        mpfr_div(r16598, r16592, r16597, MPFR_RNDN);
        mpfr_pow(r16599, r16581, r16596, MPFR_RNDN);
        ;
        mpfr_div(r16601, r16600, r16579, MPFR_RNDN);
        mpfr_mul(r16602, r16581, r16581, MPFR_RNDN);
        mpfr_div(r16603, r16579, r16592, MPFR_RNDN);
        mpfr_div(r16604, r16602, r16603, MPFR_RNDN);
        mpfr_fma(r16605, r16601, r16604, r16560, MPFR_RNDN);
        mpfr_fma(r16606, r16598, r16599, r16605, MPFR_RNDN);
        mpfr_add(r16607, r16595, r16606, MPFR_RNDN);
        mpfr_add(r16608, r16560, r16563, MPFR_RNDN);
        mpfr_cot(r16609, r16608, MPFR_RNDN);
        mpfr_mul(r16610, r16609, r16581, MPFR_RNDN);
        mpfr_sub(r16611, r16579, r16610, MPFR_RNDN);
        mpfr_cot(r16612, r16565, MPFR_RNDN);
        mpfr_mul(r16613, r16612, r16579, MPFR_RNDN);
        mpfr_div(r16614, r16611, r16613, MPFR_RNDN);
        if (mpfr_get_si(r16578, MPFR_RNDN)) { mpfr_set(r16615, r16607, MPFR_RNDN); } else { mpfr_set(r16615, r16614, MPFR_RNDN); };
        if (mpfr_get_si(r16562, MPFR_RNDN)) { mpfr_set(r16616, r16576, MPFR_RNDN); } else { mpfr_set(r16616, r16615, MPFR_RNDN); };
        return mpfr_get_d(r16616, MPFR_RNDN);
}

static mpfr_t r16617, r16618, r16619, r16620, r16621, r16622, r16623, r16624, r16625, r16626, r16627, r16628, r16629, r16630, r16631, r16632, r16633, r16634, r16635, r16636, r16637, r16638, r16639, r16640, r16641, r16642, r16643, r16644, r16645, r16646, r16647, r16648, r16649, r16650, r16651, r16652, r16653, r16654, r16655, r16656, r16657, r16658, r16659, r16660, r16661, r16662, r16663, r16664, r16665, r16666, r16667, r16668, r16669, r16670, r16671, r16672, r16673;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16617);
        mpfr_init_set_str(r16618, "-0.027100457f0", 10, MPFR_RNDN);
        mpfr_init(r16619);
        mpfr_init(r16620);
        mpfr_init(r16621);
        mpfr_init(r16622);
        mpfr_init(r16623);
        mpfr_init(r16624);
        mpfr_init_set_str(r16625, "1", 10, MPFR_RNDN);
        mpfr_init(r16626);
        mpfr_init(r16627);
        mpfr_init(r16628);
        mpfr_init(r16629);
        mpfr_init(r16630);
        mpfr_init(r16631);
        mpfr_init(r16632);
        mpfr_init(r16633);
        mpfr_init_set_str(r16634, "0.00019073929f0", 10, MPFR_RNDN);
        mpfr_init(r16635);
        mpfr_init(r16636);
        mpfr_init(r16637);
        mpfr_init(r16638);
        mpfr_init(r16639);
        mpfr_init(r16640);
        mpfr_init(r16641);
        mpfr_init(r16642);
        mpfr_init(r16643);
        mpfr_init(r16644);
        mpfr_init(r16645);
        mpfr_init(r16646);
        mpfr_init(r16647);
        mpfr_init_set_str(r16648, "1/3", 10, MPFR_RNDN);
        mpfr_init(r16649);
        mpfr_init(r16650);
        mpfr_init(r16651);
        mpfr_init(r16652);
        mpfr_init_set_str(r16653, "4", 10, MPFR_RNDN);
        mpfr_init(r16654);
        mpfr_init(r16655);
        mpfr_init(r16656);
        mpfr_init_set_str(r16657, "4/3", 10, MPFR_RNDN);
        mpfr_init(r16658);
        mpfr_init(r16659);
        mpfr_init(r16660);
        mpfr_init(r16661);
        mpfr_init(r16662);
        mpfr_init(r16663);
        mpfr_init(r16664);
        mpfr_init(r16665);
        mpfr_init(r16666);
        mpfr_init(r16667);
        mpfr_init(r16668);
        mpfr_init(r16669);
        mpfr_init(r16670);
        mpfr_init(r16671);
        mpfr_init(r16672);
        mpfr_init(r16673);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r16617, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16619, mpfr_cmp(r16617, r16618) <= 0, MPFR_RNDN);
        mpfr_set_d(r16620, x, MPFR_RNDN);
        mpfr_cot(r16621, r16620, MPFR_RNDN);
        mpfr_add(r16622, r16620, r16617, MPFR_RNDN);
        mpfr_sin(r16623, r16622, MPFR_RNDN);
        mpfr_mul(r16624, r16621, r16623, MPFR_RNDN);
        ;
        mpfr_div(r16626, r16625, r16617, MPFR_RNDN);
        mpfr_div(r16627, r16625, r16620, MPFR_RNDN);
        mpfr_add(r16628, r16626, r16627, MPFR_RNDN);
        mpfr_cos(r16629, r16628, MPFR_RNDN);
        mpfr_sub(r16630, r16624, r16629, MPFR_RNDN);
        mpfr_cos(r16631, r16622, MPFR_RNDN);
        mpfr_mul(r16632, r16631, r16621, MPFR_RNDN);
        mpfr_div(r16633, r16630, r16632, MPFR_RNDN);
        ;
        mpfr_set_si(r16635, mpfr_cmp(r16617, r16634) <= 0, MPFR_RNDN);
        mpfr_cos(r16636, r16620, MPFR_RNDN);
        mpfr_div(r16637, r16617, r16636, MPFR_RNDN);
        mpfr_sin(r16638, r16620, MPFR_RNDN);
        mpfr_div(r16639, r16636, r16638, MPFR_RNDN);
        mpfr_div(r16640, r16638, r16639, MPFR_RNDN);
        mpfr_sqr(r16641, r16617, MPFR_RNDN);
        mpfr_div(r16642, r16641, r16636, MPFR_RNDN);
        mpfr_mul(r16643, r16638, r16642, MPFR_RNDN);
        mpfr_fma(r16644, r16637, r16640, r16643, MPFR_RNDN);
        mpfr_mul(r16645, r16636, r16636, MPFR_RNDN); mpfr_mul(r16645, r16645, r16636, MPFR_RNDN);
        mpfr_div(r16646, r16641, r16645, MPFR_RNDN);
        mpfr_mul(r16647, r16638, r16638, MPFR_RNDN); mpfr_mul(r16647, r16647, r16638, MPFR_RNDN);
        ;
        mpfr_mul(r16649, r16617, r16617, MPFR_RNDN); mpfr_mul(r16649, r16649, r16617, MPFR_RNDN);
        mpfr_mul(r16650, r16648, r16649, MPFR_RNDN);
        mpfr_fma(r16651, r16646, r16647, r16650, MPFR_RNDN);
        mpfr_add(r16652, r16644, r16651, MPFR_RNDN);
        ;
        mpfr_pow(r16654, r16636, r16653, MPFR_RNDN);
        mpfr_div(r16655, r16649, r16654, MPFR_RNDN);
        mpfr_pow(r16656, r16638, r16653, MPFR_RNDN);
        ;
        mpfr_div(r16658, r16657, r16636, MPFR_RNDN);
        mpfr_mul(r16659, r16638, r16638, MPFR_RNDN);
        mpfr_div(r16660, r16636, r16649, MPFR_RNDN);
        mpfr_div(r16661, r16659, r16660, MPFR_RNDN);
        mpfr_fma(r16662, r16658, r16661, r16617, MPFR_RNDN);
        mpfr_fma(r16663, r16655, r16656, r16662, MPFR_RNDN);
        mpfr_add(r16664, r16652, r16663, MPFR_RNDN);
        mpfr_add(r16665, r16617, r16620, MPFR_RNDN);
        mpfr_cot(r16666, r16665, MPFR_RNDN);
        mpfr_mul(r16667, r16666, r16638, MPFR_RNDN);
        mpfr_sub(r16668, r16636, r16667, MPFR_RNDN);
        mpfr_cot(r16669, r16622, MPFR_RNDN);
        mpfr_mul(r16670, r16669, r16636, MPFR_RNDN);
        mpfr_div(r16671, r16668, r16670, MPFR_RNDN);
        if (mpfr_get_si(r16635, MPFR_RNDN)) { mpfr_set(r16672, r16664, MPFR_RNDN); } else { mpfr_set(r16672, r16671, MPFR_RNDN); };
        if (mpfr_get_si(r16619, MPFR_RNDN)) { mpfr_set(r16673, r16633, MPFR_RNDN); } else { mpfr_set(r16673, r16672, MPFR_RNDN); };
        return mpfr_get_d(r16673, MPFR_RNDN);
}