#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 r16548 = x;
        float r16549 = eps;
        float r16550 = r16548 + r16549;
        float r16551 = tan(r16550);
        float r16552 = tan(r16548);
        float r16553 = r16551 - r16552;
        return r16553;
}

double f_id(double x, double eps) {
        double r16554 = x;
        double r16555 = eps;
        double r16556 = r16554 + r16555;
        double r16557 = tan(r16556);
        double r16558 = tan(r16554);
        double r16559 = r16557 - r16558;
        return r16559;
}


double f_of(float x, float eps) {
        float r16560 = eps;
        float r16561 = -0.0271004568785429f;
        bool r16562 = r16560 <= r16561;
        float r16563 = x;
        float r16564 = 1.0 / tan(r16563);
        float r16565 = r16563 + r16560;
        float r16566 = sin(r16565);
        float r16567 = r16564 * r16566;
        float r16568 = 1.0f;
        float r16569 = r16568 / r16560;
        float r16570 = r16568 / r16563;
        float r16571 = r16569 + r16570;
        float r16572 = cos(r16571);
        float r16573 = r16567 - r16572;
        float r16574 = cos(r16565);
        float r16575 = r16574 * r16564;
        float r16576 = r16573 / r16575;
        float r16577 = 0.00019073928706347942f;
        bool r16578 = r16560 <= r16577;
        float r16579 = cos(r16563);
        float r16580 = sin(r16563);
        float r16581 = r16579 / r16580;
        float r16582 = r16581 * r16581;
        float r16583 = r16560 / r16582;
        float r16584 = r16560 * r16560;
        float r16585 = r16584 / r16579;
        float r16586 = r16585 * r16580;
        float r16587 = r16583 + r16586;
        float r16588 = r16580 * (r16580 * r16580);
        float r16589 = r16579 * (r16579 * r16579);
        float r16590 = r16589 / r16584;
        float r16591 = r16588 / r16590;
        float r16592 = r16587 + r16591;
        float r16593 = 0.3333333432674408f;
        float r16594 = r16560 * (r16560 * r16560);
        float r16595 = r16593 * r16594;
        float r16596 = r16595 + r16560;
        float r16597 = 1.3333333730697632f;
        float r16598 = r16597 * r16560;
        float r16599 = r16598 * r16584;
        float r16600 = r16599 / r16582;
        float r16601 = 4.0f;
        float r16602 = pow(r16579, r16601);
        float r16603 = pow(r16580, r16601);
        float r16604 = r16602 / r16603;
        float r16605 = r16594 / r16604;
        float r16606 = r16600 + r16605;
        float r16607 = r16596 + r16606;
        float r16608 = r16592 + r16607;
        float r16609 = r16560 + r16563;
        float r16610 = 1.0 / tan(r16609);
        float r16611 = r16610 * r16580;
        float r16612 = r16579 - r16611;
        float r16613 = 1.0 / tan(r16565);
        float r16614 = r16613 * r16579;
        float r16615 = r16612 / r16614;
        float r16616 = r16578 ? r16608 : r16615;
        float r16617 = r16562 ? r16576 : r16616;
        return r16617;
}

double f_od(double x, double eps) {
        double r16618 = eps;
        double r16619 = -0.0271004568785429;
        bool r16620 = r16618 <= r16619;
        double r16621 = x;
        double r16622 = 1.0 / tan(r16621);
        double r16623 = r16621 + r16618;
        double r16624 = sin(r16623);
        double r16625 = r16622 * r16624;
        double r16626 = 1.0;
        double r16627 = r16626 / r16618;
        double r16628 = r16626 / r16621;
        double r16629 = r16627 + r16628;
        double r16630 = cos(r16629);
        double r16631 = r16625 - r16630;
        double r16632 = cos(r16623);
        double r16633 = r16632 * r16622;
        double r16634 = r16631 / r16633;
        double r16635 = 0.00019073928706347942;
        bool r16636 = r16618 <= r16635;
        double r16637 = cos(r16621);
        double r16638 = sin(r16621);
        double r16639 = r16637 / r16638;
        double r16640 = r16639 * r16639;
        double r16641 = r16618 / r16640;
        double r16642 = r16618 * r16618;
        double r16643 = r16642 / r16637;
        double r16644 = r16643 * r16638;
        double r16645 = r16641 + r16644;
        double r16646 = r16638 * (r16638 * r16638);
        double r16647 = r16637 * (r16637 * r16637);
        double r16648 = r16647 / r16642;
        double r16649 = r16646 / r16648;
        double r16650 = r16645 + r16649;
        double r16651 = 0.3333333432674408;
        double r16652 = r16618 * (r16618 * r16618);
        double r16653 = r16651 * r16652;
        double r16654 = r16653 + r16618;
        double r16655 = 1.3333333730697632;
        double r16656 = r16655 * r16618;
        double r16657 = r16656 * r16642;
        double r16658 = r16657 / r16640;
        double r16659 = 4.0;
        double r16660 = pow(r16637, r16659);
        double r16661 = pow(r16638, r16659);
        double r16662 = r16660 / r16661;
        double r16663 = r16652 / r16662;
        double r16664 = r16658 + r16663;
        double r16665 = r16654 + r16664;
        double r16666 = r16650 + r16665;
        double r16667 = r16618 + r16621;
        double r16668 = 1.0 / tan(r16667);
        double r16669 = r16668 * r16638;
        double r16670 = r16637 - r16669;
        double r16671 = 1.0 / tan(r16623);
        double r16672 = r16671 * r16637;
        double r16673 = r16670 / r16672;
        double r16674 = r16636 ? r16666 : r16673;
        double r16675 = r16620 ? r16634 : r16674;
        return r16675;
}

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 r16676, r16677, r16678, r16679, r16680, r16681;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16676);
        mpfr_init(r16677);
        mpfr_init(r16678);
        mpfr_init(r16679);
        mpfr_init(r16680);
        mpfr_init(r16681);
}

double f_im(double x, double eps) {
        mpfr_set_d(r16676, x, MPFR_RNDN);
        mpfr_set_d(r16677, eps, MPFR_RNDN);
        mpfr_add(r16678, r16676, r16677, MPFR_RNDN);
        mpfr_tan(r16679, r16678, MPFR_RNDN);
        mpfr_tan(r16680, r16676, MPFR_RNDN);
        mpfr_sub(r16681, r16679, r16680, MPFR_RNDN);
        return mpfr_get_d(r16681, MPFR_RNDN);
}

static mpfr_t r16682, r16683, r16684, r16685, r16686, r16687, r16688, r16689, r16690, r16691, r16692, r16693, r16694, r16695, r16696, r16697, r16698, r16699, r16700, r16701, r16702, r16703, r16704, r16705, r16706, r16707, r16708, r16709, r16710, r16711, r16712, r16713, r16714, r16715, r16716, r16717, r16718, r16719, r16720, r16721, r16722, r16723, r16724, r16725, r16726, r16727, r16728, r16729, r16730, r16731, r16732, r16733, r16734, r16735, r16736, r16737, r16738, r16739;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16682);
        mpfr_init_set_str(r16683, "-0.027100457f0", 10, MPFR_RNDN);
        mpfr_init(r16684);
        mpfr_init(r16685);
        mpfr_init(r16686);
        mpfr_init(r16687);
        mpfr_init(r16688);
        mpfr_init(r16689);
        mpfr_init_set_str(r16690, "1", 10, MPFR_RNDN);
        mpfr_init(r16691);
        mpfr_init(r16692);
        mpfr_init(r16693);
        mpfr_init(r16694);
        mpfr_init(r16695);
        mpfr_init(r16696);
        mpfr_init(r16697);
        mpfr_init(r16698);
        mpfr_init_set_str(r16699, "0.00019073929f0", 10, MPFR_RNDN);
        mpfr_init(r16700);
        mpfr_init(r16701);
        mpfr_init(r16702);
        mpfr_init(r16703);
        mpfr_init(r16704);
        mpfr_init(r16705);
        mpfr_init(r16706);
        mpfr_init(r16707);
        mpfr_init(r16708);
        mpfr_init(r16709);
        mpfr_init(r16710);
        mpfr_init(r16711);
        mpfr_init(r16712);
        mpfr_init(r16713);
        mpfr_init(r16714);
        mpfr_init_set_str(r16715, "1/3", 10, MPFR_RNDN);
        mpfr_init(r16716);
        mpfr_init(r16717);
        mpfr_init(r16718);
        mpfr_init_set_str(r16719, "4/3", 10, MPFR_RNDN);
        mpfr_init(r16720);
        mpfr_init(r16721);
        mpfr_init(r16722);
        mpfr_init_set_str(r16723, "4", 10, MPFR_RNDN);
        mpfr_init(r16724);
        mpfr_init(r16725);
        mpfr_init(r16726);
        mpfr_init(r16727);
        mpfr_init(r16728);
        mpfr_init(r16729);
        mpfr_init(r16730);
        mpfr_init(r16731);
        mpfr_init(r16732);
        mpfr_init(r16733);
        mpfr_init(r16734);
        mpfr_init(r16735);
        mpfr_init(r16736);
        mpfr_init(r16737);
        mpfr_init(r16738);
        mpfr_init(r16739);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r16682, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16684, mpfr_cmp(r16682, r16683) <= 0, MPFR_RNDN);
        mpfr_set_d(r16685, x, MPFR_RNDN);
        mpfr_cot(r16686, r16685, MPFR_RNDN);
        mpfr_add(r16687, r16685, r16682, MPFR_RNDN);
        mpfr_sin(r16688, r16687, MPFR_RNDN);
        mpfr_mul(r16689, r16686, r16688, MPFR_RNDN);
        ;
        mpfr_div(r16691, r16690, r16682, MPFR_RNDN);
        mpfr_div(r16692, r16690, r16685, MPFR_RNDN);
        mpfr_add(r16693, r16691, r16692, MPFR_RNDN);
        mpfr_cos(r16694, r16693, MPFR_RNDN);
        mpfr_sub(r16695, r16689, r16694, MPFR_RNDN);
        mpfr_cos(r16696, r16687, MPFR_RNDN);
        mpfr_mul(r16697, r16696, r16686, MPFR_RNDN);
        mpfr_div(r16698, r16695, r16697, MPFR_RNDN);
        ;
        mpfr_set_si(r16700, mpfr_cmp(r16682, r16699) <= 0, MPFR_RNDN);
        mpfr_cos(r16701, r16685, MPFR_RNDN);
        mpfr_sin(r16702, r16685, MPFR_RNDN);
        mpfr_div(r16703, r16701, r16702, MPFR_RNDN);
        mpfr_sqr(r16704, r16703, MPFR_RNDN);
        mpfr_div(r16705, r16682, r16704, MPFR_RNDN);
        mpfr_sqr(r16706, r16682, MPFR_RNDN);
        mpfr_div(r16707, r16706, r16701, MPFR_RNDN);
        mpfr_mul(r16708, r16707, r16702, MPFR_RNDN);
        mpfr_add(r16709, r16705, r16708, MPFR_RNDN);
        mpfr_mul(r16710, r16702, r16702, MPFR_RNDN); mpfr_mul(r16710, r16710, r16702, MPFR_RNDN);
        mpfr_mul(r16711, r16701, r16701, MPFR_RNDN); mpfr_mul(r16711, r16711, r16701, MPFR_RNDN);
        mpfr_div(r16712, r16711, r16706, MPFR_RNDN);
        mpfr_div(r16713, r16710, r16712, MPFR_RNDN);
        mpfr_add(r16714, r16709, r16713, MPFR_RNDN);
        ;
        mpfr_mul(r16716, r16682, r16682, MPFR_RNDN); mpfr_mul(r16716, r16716, r16682, MPFR_RNDN);
        mpfr_mul(r16717, r16715, r16716, MPFR_RNDN);
        mpfr_add(r16718, r16717, r16682, MPFR_RNDN);
        ;
        mpfr_mul(r16720, r16719, r16682, MPFR_RNDN);
        mpfr_mul(r16721, r16720, r16706, MPFR_RNDN);
        mpfr_div(r16722, r16721, r16704, MPFR_RNDN);
        ;
        mpfr_pow(r16724, r16701, r16723, MPFR_RNDN);
        mpfr_pow(r16725, r16702, r16723, MPFR_RNDN);
        mpfr_div(r16726, r16724, r16725, MPFR_RNDN);
        mpfr_div(r16727, r16716, r16726, MPFR_RNDN);
        mpfr_add(r16728, r16722, r16727, MPFR_RNDN);
        mpfr_add(r16729, r16718, r16728, MPFR_RNDN);
        mpfr_add(r16730, r16714, r16729, MPFR_RNDN);
        mpfr_add(r16731, r16682, r16685, MPFR_RNDN);
        mpfr_cot(r16732, r16731, MPFR_RNDN);
        mpfr_mul(r16733, r16732, r16702, MPFR_RNDN);
        mpfr_sub(r16734, r16701, r16733, MPFR_RNDN);
        mpfr_cot(r16735, r16687, MPFR_RNDN);
        mpfr_mul(r16736, r16735, r16701, MPFR_RNDN);
        mpfr_div(r16737, r16734, r16736, MPFR_RNDN);
        if (mpfr_get_si(r16700, MPFR_RNDN)) { mpfr_set(r16738, r16730, MPFR_RNDN); } else { mpfr_set(r16738, r16737, MPFR_RNDN); };
        if (mpfr_get_si(r16684, MPFR_RNDN)) { mpfr_set(r16739, r16698, MPFR_RNDN); } else { mpfr_set(r16739, r16738, MPFR_RNDN); };
        return mpfr_get_d(r16739, MPFR_RNDN);
}

static mpfr_t r16740, r16741, r16742, r16743, r16744, r16745, r16746, r16747, r16748, r16749, r16750, r16751, r16752, r16753, r16754, r16755, r16756, r16757, r16758, r16759, r16760, r16761, r16762, r16763, r16764, r16765, r16766, r16767, r16768, r16769, r16770, r16771, r16772, r16773, r16774, r16775, r16776, r16777, r16778, r16779, r16780, r16781, r16782, r16783, r16784, r16785, r16786, r16787, r16788, r16789, r16790, r16791, r16792, r16793, r16794, r16795, r16796, r16797;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16740);
        mpfr_init_set_str(r16741, "-0.027100457f0", 10, MPFR_RNDN);
        mpfr_init(r16742);
        mpfr_init(r16743);
        mpfr_init(r16744);
        mpfr_init(r16745);
        mpfr_init(r16746);
        mpfr_init(r16747);
        mpfr_init_set_str(r16748, "1", 10, MPFR_RNDN);
        mpfr_init(r16749);
        mpfr_init(r16750);
        mpfr_init(r16751);
        mpfr_init(r16752);
        mpfr_init(r16753);
        mpfr_init(r16754);
        mpfr_init(r16755);
        mpfr_init(r16756);
        mpfr_init_set_str(r16757, "0.00019073929f0", 10, MPFR_RNDN);
        mpfr_init(r16758);
        mpfr_init(r16759);
        mpfr_init(r16760);
        mpfr_init(r16761);
        mpfr_init(r16762);
        mpfr_init(r16763);
        mpfr_init(r16764);
        mpfr_init(r16765);
        mpfr_init(r16766);
        mpfr_init(r16767);
        mpfr_init(r16768);
        mpfr_init(r16769);
        mpfr_init(r16770);
        mpfr_init(r16771);
        mpfr_init(r16772);
        mpfr_init_set_str(r16773, "1/3", 10, MPFR_RNDN);
        mpfr_init(r16774);
        mpfr_init(r16775);
        mpfr_init(r16776);
        mpfr_init_set_str(r16777, "4/3", 10, MPFR_RNDN);
        mpfr_init(r16778);
        mpfr_init(r16779);
        mpfr_init(r16780);
        mpfr_init_set_str(r16781, "4", 10, MPFR_RNDN);
        mpfr_init(r16782);
        mpfr_init(r16783);
        mpfr_init(r16784);
        mpfr_init(r16785);
        mpfr_init(r16786);
        mpfr_init(r16787);
        mpfr_init(r16788);
        mpfr_init(r16789);
        mpfr_init(r16790);
        mpfr_init(r16791);
        mpfr_init(r16792);
        mpfr_init(r16793);
        mpfr_init(r16794);
        mpfr_init(r16795);
        mpfr_init(r16796);
        mpfr_init(r16797);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r16740, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16742, mpfr_cmp(r16740, r16741) <= 0, MPFR_RNDN);
        mpfr_set_d(r16743, x, MPFR_RNDN);
        mpfr_cot(r16744, r16743, MPFR_RNDN);
        mpfr_add(r16745, r16743, r16740, MPFR_RNDN);
        mpfr_sin(r16746, r16745, MPFR_RNDN);
        mpfr_mul(r16747, r16744, r16746, MPFR_RNDN);
        ;
        mpfr_div(r16749, r16748, r16740, MPFR_RNDN);
        mpfr_div(r16750, r16748, r16743, MPFR_RNDN);
        mpfr_add(r16751, r16749, r16750, MPFR_RNDN);
        mpfr_cos(r16752, r16751, MPFR_RNDN);
        mpfr_sub(r16753, r16747, r16752, MPFR_RNDN);
        mpfr_cos(r16754, r16745, MPFR_RNDN);
        mpfr_mul(r16755, r16754, r16744, MPFR_RNDN);
        mpfr_div(r16756, r16753, r16755, MPFR_RNDN);
        ;
        mpfr_set_si(r16758, mpfr_cmp(r16740, r16757) <= 0, MPFR_RNDN);
        mpfr_cos(r16759, r16743, MPFR_RNDN);
        mpfr_sin(r16760, r16743, MPFR_RNDN);
        mpfr_div(r16761, r16759, r16760, MPFR_RNDN);
        mpfr_sqr(r16762, r16761, MPFR_RNDN);
        mpfr_div(r16763, r16740, r16762, MPFR_RNDN);
        mpfr_sqr(r16764, r16740, MPFR_RNDN);
        mpfr_div(r16765, r16764, r16759, MPFR_RNDN);
        mpfr_mul(r16766, r16765, r16760, MPFR_RNDN);
        mpfr_add(r16767, r16763, r16766, MPFR_RNDN);
        mpfr_mul(r16768, r16760, r16760, MPFR_RNDN); mpfr_mul(r16768, r16768, r16760, MPFR_RNDN);
        mpfr_mul(r16769, r16759, r16759, MPFR_RNDN); mpfr_mul(r16769, r16769, r16759, MPFR_RNDN);
        mpfr_div(r16770, r16769, r16764, MPFR_RNDN);
        mpfr_div(r16771, r16768, r16770, MPFR_RNDN);
        mpfr_add(r16772, r16767, r16771, MPFR_RNDN);
        ;
        mpfr_mul(r16774, r16740, r16740, MPFR_RNDN); mpfr_mul(r16774, r16774, r16740, MPFR_RNDN);
        mpfr_mul(r16775, r16773, r16774, MPFR_RNDN);
        mpfr_add(r16776, r16775, r16740, MPFR_RNDN);
        ;
        mpfr_mul(r16778, r16777, r16740, MPFR_RNDN);
        mpfr_mul(r16779, r16778, r16764, MPFR_RNDN);
        mpfr_div(r16780, r16779, r16762, MPFR_RNDN);
        ;
        mpfr_pow(r16782, r16759, r16781, MPFR_RNDN);
        mpfr_pow(r16783, r16760, r16781, MPFR_RNDN);
        mpfr_div(r16784, r16782, r16783, MPFR_RNDN);
        mpfr_div(r16785, r16774, r16784, MPFR_RNDN);
        mpfr_add(r16786, r16780, r16785, MPFR_RNDN);
        mpfr_add(r16787, r16776, r16786, MPFR_RNDN);
        mpfr_add(r16788, r16772, r16787, MPFR_RNDN);
        mpfr_add(r16789, r16740, r16743, MPFR_RNDN);
        mpfr_cot(r16790, r16789, MPFR_RNDN);
        mpfr_mul(r16791, r16790, r16760, MPFR_RNDN);
        mpfr_sub(r16792, r16759, r16791, MPFR_RNDN);
        mpfr_cot(r16793, r16745, MPFR_RNDN);
        mpfr_mul(r16794, r16793, r16759, MPFR_RNDN);
        mpfr_div(r16795, r16792, r16794, MPFR_RNDN);
        if (mpfr_get_si(r16758, MPFR_RNDN)) { mpfr_set(r16796, r16788, MPFR_RNDN); } else { mpfr_set(r16796, r16795, MPFR_RNDN); };
        if (mpfr_get_si(r16742, MPFR_RNDN)) { mpfr_set(r16797, r16756, MPFR_RNDN); } else { mpfr_set(r16797, r16796, MPFR_RNDN); };
        return mpfr_get_d(r16797, MPFR_RNDN);
}