#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 r16600 = x;
        float r16601 = eps;
        float r16602 = r16600 + r16601;
        float r16603 = tan(r16602);
        float r16604 = tan(r16600);
        float r16605 = r16603 - r16604;
        return r16605;
}

double f_id(double x, double eps) {
        double r16606 = x;
        double r16607 = eps;
        double r16608 = r16606 + r16607;
        double r16609 = tan(r16608);
        double r16610 = tan(r16606);
        double r16611 = r16609 - r16610;
        return r16611;
}


double f_of(float x, float eps) {
        float r16612 = eps;
        float r16613 = -6.974478371048821e-14f;
        bool r16614 = r16612 <= r16613;
        float r16615 = x;
        float r16616 = 1.0 / tan(r16615);
        float r16617 = sin(r16615);
        float r16618 = cos(r16612);
        float r16619 = r16617 * r16618;
        float r16620 = cos(r16615);
        float r16621 = sin(r16612);
        float r16622 = r16620 * r16621;
        float r16623 = r16619 + r16622;
        float r16624 = r16616 * r16623;
        float r16625 = r16615 + r16612;
        float r16626 = cos(r16625);
        float r16627 = r16624 - r16626;
        float r16628 = r16626 * r16616;
        float r16629 = r16627 / r16628;
        float r16630 = 2.3610750006627307e-19f;
        bool r16631 = r16612 <= r16630;
        float r16632 = r16615 * r16615;
        float r16633 = r16612 * (r16612 * r16612);
        float r16634 = r16632 * r16633;
        float r16635 = r16612 + r16634;
        float r16636 = 4.0f;
        float r16637 = pow(r16612, r16636);
        float r16638 = r16615 * (r16615 * r16615);
        float r16639 = r16637 * r16638;
        float r16640 = r16635 + r16639;
        float r16641 = r16631 ? r16640 : r16629;
        float r16642 = r16614 ? r16629 : r16641;
        return r16642;
}

double f_od(double x, double eps) {
        double r16643 = eps;
        double r16644 = -6.974478371048821e-14;
        bool r16645 = r16643 <= r16644;
        double r16646 = x;
        double r16647 = 1.0 / tan(r16646);
        double r16648 = sin(r16646);
        double r16649 = cos(r16643);
        double r16650 = r16648 * r16649;
        double r16651 = cos(r16646);
        double r16652 = sin(r16643);
        double r16653 = r16651 * r16652;
        double r16654 = r16650 + r16653;
        double r16655 = r16647 * r16654;
        double r16656 = r16646 + r16643;
        double r16657 = cos(r16656);
        double r16658 = r16655 - r16657;
        double r16659 = r16657 * r16647;
        double r16660 = r16658 / r16659;
        double r16661 = 2.3610750006627307e-19;
        bool r16662 = r16643 <= r16661;
        double r16663 = r16646 * r16646;
        double r16664 = r16643 * (r16643 * r16643);
        double r16665 = r16663 * r16664;
        double r16666 = r16643 + r16665;
        double r16667 = 4.0;
        double r16668 = pow(r16643, r16667);
        double r16669 = r16646 * (r16646 * r16646);
        double r16670 = r16668 * r16669;
        double r16671 = r16666 + r16670;
        double r16672 = r16662 ? r16671 : r16660;
        double r16673 = r16645 ? r16660 : r16672;
        return r16673;
}

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 r16674, r16675, r16676, r16677, r16678, r16679;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16674);
        mpfr_init(r16675);
        mpfr_init(r16676);
        mpfr_init(r16677);
        mpfr_init(r16678);
        mpfr_init(r16679);
}

double f_im(double x, double eps) {
        mpfr_set_d(r16674, x, MPFR_RNDN);
        mpfr_set_d(r16675, eps, MPFR_RNDN);
        mpfr_add(r16676, r16674, r16675, MPFR_RNDN);
        mpfr_tan(r16677, r16676, MPFR_RNDN);
        mpfr_tan(r16678, r16674, MPFR_RNDN);
        mpfr_sub(r16679, r16677, r16678, MPFR_RNDN);
        return mpfr_get_d(r16679, MPFR_RNDN);
}

static mpfr_t r16680, r16681, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16680);
        mpfr_init_set_str(r16681, "-6.974478371048821e-14", 10, MPFR_RNDN);
        mpfr_init(r16682);
        mpfr_init(r16683);
        mpfr_init(r16684);
        mpfr_init(r16685);
        mpfr_init(r16686);
        mpfr_init(r16687);
        mpfr_init(r16688);
        mpfr_init(r16689);
        mpfr_init(r16690);
        mpfr_init(r16691);
        mpfr_init(r16692);
        mpfr_init(r16693);
        mpfr_init(r16694);
        mpfr_init(r16695);
        mpfr_init(r16696);
        mpfr_init(r16697);
        mpfr_init_set_str(r16698, "2.3610750006627307e-19", 10, MPFR_RNDN);
        mpfr_init(r16699);
        mpfr_init(r16700);
        mpfr_init(r16701);
        mpfr_init(r16702);
        mpfr_init(r16703);
        mpfr_init_set_str(r16704, "4", 10, MPFR_RNDN);
        mpfr_init(r16705);
        mpfr_init(r16706);
        mpfr_init(r16707);
        mpfr_init(r16708);
        mpfr_init(r16709);
        mpfr_init(r16710);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r16680, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16682, mpfr_cmp(r16680, r16681) <= 0, MPFR_RNDN);
        mpfr_set_d(r16683, x, MPFR_RNDN);
        mpfr_cot(r16684, r16683, MPFR_RNDN);
        mpfr_sin(r16685, r16683, MPFR_RNDN);
        mpfr_cos(r16686, r16680, MPFR_RNDN);
        mpfr_mul(r16687, r16685, r16686, MPFR_RNDN);
        mpfr_cos(r16688, r16683, MPFR_RNDN);
        mpfr_sin(r16689, r16680, MPFR_RNDN);
        mpfr_mul(r16690, r16688, r16689, MPFR_RNDN);
        mpfr_add(r16691, r16687, r16690, MPFR_RNDN);
        mpfr_mul(r16692, r16684, r16691, MPFR_RNDN);
        mpfr_add(r16693, r16683, r16680, MPFR_RNDN);
        mpfr_cos(r16694, r16693, MPFR_RNDN);
        mpfr_sub(r16695, r16692, r16694, MPFR_RNDN);
        mpfr_mul(r16696, r16694, r16684, MPFR_RNDN);
        mpfr_div(r16697, r16695, r16696, MPFR_RNDN);
        ;
        mpfr_set_si(r16699, mpfr_cmp(r16680, r16698) <= 0, MPFR_RNDN);
        mpfr_mul(r16700, r16683, r16683, MPFR_RNDN);
        mpfr_mul(r16701, r16680, r16680, MPFR_RNDN); mpfr_mul(r16701, r16701, r16680, MPFR_RNDN);
        mpfr_mul(r16702, r16700, r16701, MPFR_RNDN);
        mpfr_add(r16703, r16680, r16702, MPFR_RNDN);
        ;
        mpfr_pow(r16705, r16680, r16704, MPFR_RNDN);
        mpfr_mul(r16706, r16683, r16683, MPFR_RNDN); mpfr_mul(r16706, r16706, r16683, MPFR_RNDN);
        mpfr_mul(r16707, r16705, r16706, MPFR_RNDN);
        mpfr_add(r16708, r16703, r16707, MPFR_RNDN);
        if (mpfr_get_si(r16699, MPFR_RNDN)) { mpfr_set(r16709, r16708, MPFR_RNDN); } else { mpfr_set(r16709, r16697, MPFR_RNDN); };
        if (mpfr_get_si(r16682, MPFR_RNDN)) { mpfr_set(r16710, r16697, MPFR_RNDN); } else { mpfr_set(r16710, r16709, MPFR_RNDN); };
        return mpfr_get_d(r16710, MPFR_RNDN);
}

static mpfr_t 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, r16740, r16741;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16711);
        mpfr_init_set_str(r16712, "-6.974478371048821e-14", 10, MPFR_RNDN);
        mpfr_init(r16713);
        mpfr_init(r16714);
        mpfr_init(r16715);
        mpfr_init(r16716);
        mpfr_init(r16717);
        mpfr_init(r16718);
        mpfr_init(r16719);
        mpfr_init(r16720);
        mpfr_init(r16721);
        mpfr_init(r16722);
        mpfr_init(r16723);
        mpfr_init(r16724);
        mpfr_init(r16725);
        mpfr_init(r16726);
        mpfr_init(r16727);
        mpfr_init(r16728);
        mpfr_init_set_str(r16729, "2.3610750006627307e-19", 10, MPFR_RNDN);
        mpfr_init(r16730);
        mpfr_init(r16731);
        mpfr_init(r16732);
        mpfr_init(r16733);
        mpfr_init(r16734);
        mpfr_init_set_str(r16735, "4", 10, MPFR_RNDN);
        mpfr_init(r16736);
        mpfr_init(r16737);
        mpfr_init(r16738);
        mpfr_init(r16739);
        mpfr_init(r16740);
        mpfr_init(r16741);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r16711, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16713, mpfr_cmp(r16711, r16712) <= 0, MPFR_RNDN);
        mpfr_set_d(r16714, x, MPFR_RNDN);
        mpfr_cot(r16715, r16714, MPFR_RNDN);
        mpfr_sin(r16716, r16714, MPFR_RNDN);
        mpfr_cos(r16717, r16711, MPFR_RNDN);
        mpfr_mul(r16718, r16716, r16717, MPFR_RNDN);
        mpfr_cos(r16719, r16714, MPFR_RNDN);
        mpfr_sin(r16720, r16711, MPFR_RNDN);
        mpfr_mul(r16721, r16719, r16720, MPFR_RNDN);
        mpfr_add(r16722, r16718, r16721, MPFR_RNDN);
        mpfr_mul(r16723, r16715, r16722, MPFR_RNDN);
        mpfr_add(r16724, r16714, r16711, MPFR_RNDN);
        mpfr_cos(r16725, r16724, MPFR_RNDN);
        mpfr_sub(r16726, r16723, r16725, MPFR_RNDN);
        mpfr_mul(r16727, r16725, r16715, MPFR_RNDN);
        mpfr_div(r16728, r16726, r16727, MPFR_RNDN);
        ;
        mpfr_set_si(r16730, mpfr_cmp(r16711, r16729) <= 0, MPFR_RNDN);
        mpfr_mul(r16731, r16714, r16714, MPFR_RNDN);
        mpfr_mul(r16732, r16711, r16711, MPFR_RNDN); mpfr_mul(r16732, r16732, r16711, MPFR_RNDN);
        mpfr_mul(r16733, r16731, r16732, MPFR_RNDN);
        mpfr_add(r16734, r16711, r16733, MPFR_RNDN);
        ;
        mpfr_pow(r16736, r16711, r16735, MPFR_RNDN);
        mpfr_mul(r16737, r16714, r16714, MPFR_RNDN); mpfr_mul(r16737, r16737, r16714, MPFR_RNDN);
        mpfr_mul(r16738, r16736, r16737, MPFR_RNDN);
        mpfr_add(r16739, r16734, r16738, MPFR_RNDN);
        if (mpfr_get_si(r16730, MPFR_RNDN)) { mpfr_set(r16740, r16739, MPFR_RNDN); } else { mpfr_set(r16740, r16728, MPFR_RNDN); };
        if (mpfr_get_si(r16713, MPFR_RNDN)) { mpfr_set(r16741, r16728, MPFR_RNDN); } else { mpfr_set(r16741, r16740, MPFR_RNDN); };
        return mpfr_get_d(r16741, MPFR_RNDN);
}