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

char *name = "Octave 3.8, jcobi/4";

double f_if(float alpha, float beta, float i) {
        float r23607 = i;
        float r23608 = alpha;
        float r23609 = beta;
        float r23610 = r23608 + r23609;
        float r23611 = r23610 + r23607;
        float r23612 = r23607 * r23611;
        float r23613 = r23609 * r23608;
        float r23614 = r23613 + r23612;
        float r23615 = r23612 * r23614;
        float r23616 = 2;
        float r23617 = r23616 * r23607;
        float r23618 = r23610 + r23617;
        float r23619 = r23618 * r23618;
        float r23620 = r23615 / r23619;
        float r23621 = 1.0;
        float r23622 = r23619 - r23621;
        float r23623 = r23620 / r23622;
        return r23623;
}

double f_id(double alpha, double beta, double i) {
        double r23624 = i;
        double r23625 = alpha;
        double r23626 = beta;
        double r23627 = r23625 + r23626;
        double r23628 = r23627 + r23624;
        double r23629 = r23624 * r23628;
        double r23630 = r23626 * r23625;
        double r23631 = r23630 + r23629;
        double r23632 = r23629 * r23631;
        double r23633 = 2;
        double r23634 = r23633 * r23624;
        double r23635 = r23627 + r23634;
        double r23636 = r23635 * r23635;
        double r23637 = r23632 / r23636;
        double r23638 = 1.0;
        double r23639 = r23636 - r23638;
        double r23640 = r23637 / r23639;
        return r23640;
}


double f_of(float alpha, float beta, float i) {
        float r23641 = i;
        float r23642 = 2;
        float r23643 = alpha;
        float r23644 = beta;
        float r23645 = r23643 + r23644;
        float r23646 = fma(r23642, r23641, r23645);
        float r23647 = r23641 / r23646;
        float r23648 = r23644 + r23641;
        float r23649 = r23643 + r23648;
        float r23650 = r23649 / r23646;
        float r23651 = r23647 * r23650;
        float r23652 = 3;
        float r23653 = pow(r23651, r23652);
        float r23654 = r23644 * r23643;
        float r23655 = fma(r23649, r23641, r23654);
        float r23656 = 1.0;
        float r23657 = -r23656;
        float r23658 = fma(r23646, r23646, r23657);
        float r23659 = r23655 / r23658;
        float r23660 = pow(r23659, r23652);
        float r23661 = r23653 * r23660;
        float r23662 = cbrt(r23661);
        float r23663 = 0.06250238962126126;
        bool r23664 = r23662 <= r23663;
        float r23665 = 1;
        float r23666 = fma(r23641, r23642, r23643);
        float r23667 = r23666 + r23644;
        float r23668 = fma(r23667, r23667, r23657);
        float r23669 = sqrt(r23668);
        float r23670 = r23665 / r23669;
        float r23671 = r23643 + r23641;
        float r23672 = r23671 + r23644;
        float r23673 = fma(r23672, r23641, r23654);
        float r23674 = r23673 / r23669;
        float r23675 = r23670 * r23674;
        float r23676 = r23672 / r23667;
        float r23677 = r23641 / r23667;
        float r23678 = r23676 * r23677;
        float r23679 = r23675 * r23678;
        float r23680 = 0;
        float r23681 = r23664 ? r23679 : r23680;
        return r23681;
}

double f_od(double alpha, double beta, double i) {
        double r23682 = i;
        double r23683 = 2;
        double r23684 = alpha;
        double r23685 = beta;
        double r23686 = r23684 + r23685;
        double r23687 = fma(r23683, r23682, r23686);
        double r23688 = r23682 / r23687;
        double r23689 = r23685 + r23682;
        double r23690 = r23684 + r23689;
        double r23691 = r23690 / r23687;
        double r23692 = r23688 * r23691;
        double r23693 = 3;
        double r23694 = pow(r23692, r23693);
        double r23695 = r23685 * r23684;
        double r23696 = fma(r23690, r23682, r23695);
        double r23697 = 1.0;
        double r23698 = -r23697;
        double r23699 = fma(r23687, r23687, r23698);
        double r23700 = r23696 / r23699;
        double r23701 = pow(r23700, r23693);
        double r23702 = r23694 * r23701;
        double r23703 = cbrt(r23702);
        double r23704 = 0.06250238962126126;
        bool r23705 = r23703 <= r23704;
        double r23706 = 1;
        double r23707 = fma(r23682, r23683, r23684);
        double r23708 = r23707 + r23685;
        double r23709 = fma(r23708, r23708, r23698);
        double r23710 = sqrt(r23709);
        double r23711 = r23706 / r23710;
        double r23712 = r23684 + r23682;
        double r23713 = r23712 + r23685;
        double r23714 = fma(r23713, r23682, r23695);
        double r23715 = r23714 / r23710;
        double r23716 = r23711 * r23715;
        double r23717 = r23713 / r23708;
        double r23718 = r23682 / r23708;
        double r23719 = r23717 * r23718;
        double r23720 = r23716 * r23719;
        double r23721 = 0;
        double r23722 = r23705 ? r23720 : r23721;
        return r23722;
}

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 r23723, r23724, r23725, r23726, r23727, r23728, r23729, r23730, r23731, r23732, r23733, r23734, r23735, r23736, r23737, r23738, r23739;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init(r23723);
        mpfr_init(r23724);
        mpfr_init(r23725);
        mpfr_init(r23726);
        mpfr_init(r23727);
        mpfr_init(r23728);
        mpfr_init(r23729);
        mpfr_init(r23730);
        mpfr_init(r23731);
        mpfr_init_set_str(r23732, "2", 10, MPFR_RNDN);
        mpfr_init(r23733);
        mpfr_init(r23734);
        mpfr_init(r23735);
        mpfr_init(r23736);
        mpfr_init_set_str(r23737, "1.0", 10, MPFR_RNDN);
        mpfr_init(r23738);
        mpfr_init(r23739);
}

double f_im(double alpha, double beta, double i) {
        mpfr_set_d(r23723, i, MPFR_RNDN);
        mpfr_set_d(r23724, alpha, MPFR_RNDN);
        mpfr_set_d(r23725, beta, MPFR_RNDN);
        mpfr_add(r23726, r23724, r23725, MPFR_RNDN);
        mpfr_add(r23727, r23726, r23723, MPFR_RNDN);
        mpfr_mul(r23728, r23723, r23727, MPFR_RNDN);
        mpfr_mul(r23729, r23725, r23724, MPFR_RNDN);
        mpfr_add(r23730, r23729, r23728, MPFR_RNDN);
        mpfr_mul(r23731, r23728, r23730, MPFR_RNDN);
        ;
        mpfr_mul(r23733, r23732, r23723, MPFR_RNDN);
        mpfr_add(r23734, r23726, r23733, MPFR_RNDN);
        mpfr_mul(r23735, r23734, r23734, MPFR_RNDN);
        mpfr_div(r23736, r23731, r23735, MPFR_RNDN);
        ;
        mpfr_sub(r23738, r23735, r23737, MPFR_RNDN);
        mpfr_div(r23739, r23736, r23738, MPFR_RNDN);
        return mpfr_get_d(r23739, MPFR_RNDN);
}

static mpfr_t r23740, r23741, r23742, r23743, r23744, r23745, r23746, r23747, r23748, r23749, r23750, r23751, r23752, r23753, r23754, r23755, r23756, r23757, r23758, r23759, r23760, r23761, r23762, r23763, r23764, r23765, r23766, r23767, r23768, r23769, r23770, r23771, r23772, r23773, r23774, r23775, r23776, r23777, r23778, r23779, r23780;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init(r23740);
        mpfr_init_set_str(r23741, "2", 10, MPFR_RNDN);
        mpfr_init(r23742);
        mpfr_init(r23743);
        mpfr_init(r23744);
        mpfr_init(r23745);
        mpfr_init(r23746);
        mpfr_init(r23747);
        mpfr_init(r23748);
        mpfr_init(r23749);
        mpfr_init(r23750);
        mpfr_init_set_str(r23751, "3", 10, MPFR_RNDN);
        mpfr_init(r23752);
        mpfr_init(r23753);
        mpfr_init(r23754);
        mpfr_init_set_str(r23755, "1.0", 10, MPFR_RNDN);
        mpfr_init(r23756);
        mpfr_init(r23757);
        mpfr_init(r23758);
        mpfr_init(r23759);
        mpfr_init(r23760);
        mpfr_init(r23761);
        mpfr_init_set_str(r23762, "0.06250238962126126", 10, MPFR_RNDN);
        mpfr_init(r23763);
        mpfr_init_set_str(r23764, "1", 10, MPFR_RNDN);
        mpfr_init(r23765);
        mpfr_init(r23766);
        mpfr_init(r23767);
        mpfr_init(r23768);
        mpfr_init(r23769);
        mpfr_init(r23770);
        mpfr_init(r23771);
        mpfr_init(r23772);
        mpfr_init(r23773);
        mpfr_init(r23774);
        mpfr_init(r23775);
        mpfr_init(r23776);
        mpfr_init(r23777);
        mpfr_init(r23778);
        mpfr_init_set_str(r23779, "0", 10, MPFR_RNDN);
        mpfr_init(r23780);
}

double f_fm(double alpha, double beta, double i) {
        mpfr_set_d(r23740, i, MPFR_RNDN);
        ;
        mpfr_set_d(r23742, alpha, MPFR_RNDN);
        mpfr_set_d(r23743, beta, MPFR_RNDN);
        mpfr_add(r23744, r23742, r23743, MPFR_RNDN);
        mpfr_fma(r23745, r23741, r23740, r23744, MPFR_RNDN);
        mpfr_div(r23746, r23740, r23745, MPFR_RNDN);
        mpfr_add(r23747, r23743, r23740, MPFR_RNDN);
        mpfr_add(r23748, r23742, r23747, MPFR_RNDN);
        mpfr_div(r23749, r23748, r23745, MPFR_RNDN);
        mpfr_mul(r23750, r23746, r23749, MPFR_RNDN);
        ;
        mpfr_pow(r23752, r23750, r23751, MPFR_RNDN);
        mpfr_mul(r23753, r23743, r23742, MPFR_RNDN);
        mpfr_fma(r23754, r23748, r23740, r23753, MPFR_RNDN);
        ;
        mpfr_neg(r23756, r23755, MPFR_RNDN);
        mpfr_fma(r23757, r23745, r23745, r23756, MPFR_RNDN);
        mpfr_div(r23758, r23754, r23757, MPFR_RNDN);
        mpfr_pow(r23759, r23758, r23751, MPFR_RNDN);
        mpfr_mul(r23760, r23752, r23759, MPFR_RNDN);
        mpfr_cbrt(r23761, r23760, MPFR_RNDN);
        ;
        mpfr_set_si(r23763, mpfr_cmp(r23761, r23762) <= 0, MPFR_RNDN);
        ;
        mpfr_fma(r23765, r23740, r23741, r23742, MPFR_RNDN);
        mpfr_add(r23766, r23765, r23743, MPFR_RNDN);
        mpfr_fma(r23767, r23766, r23766, r23756, MPFR_RNDN);
        mpfr_sqrt(r23768, r23767, MPFR_RNDN);
        mpfr_div(r23769, r23764, r23768, MPFR_RNDN);
        mpfr_add(r23770, r23742, r23740, MPFR_RNDN);
        mpfr_add(r23771, r23770, r23743, MPFR_RNDN);
        mpfr_fma(r23772, r23771, r23740, r23753, MPFR_RNDN);
        mpfr_div(r23773, r23772, r23768, MPFR_RNDN);
        mpfr_mul(r23774, r23769, r23773, MPFR_RNDN);
        mpfr_div(r23775, r23771, r23766, MPFR_RNDN);
        mpfr_div(r23776, r23740, r23766, MPFR_RNDN);
        mpfr_mul(r23777, r23775, r23776, MPFR_RNDN);
        mpfr_mul(r23778, r23774, r23777, MPFR_RNDN);
        ;
        if (mpfr_get_si(r23763, MPFR_RNDN)) { mpfr_set(r23780, r23778, MPFR_RNDN); } else { mpfr_set(r23780, r23779, MPFR_RNDN); };
        return mpfr_get_d(r23780, MPFR_RNDN);
}

static mpfr_t r23781, r23782, r23783, r23784, r23785, r23786, r23787, r23788, r23789, r23790, r23791, r23792, r23793, r23794, r23795, r23796, r23797, r23798, r23799, r23800, r23801, r23802, r23803, r23804, r23805, r23806, r23807, r23808, r23809, r23810, r23811, r23812, r23813, r23814, r23815, r23816, r23817, r23818, r23819, r23820, r23821;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init(r23781);
        mpfr_init_set_str(r23782, "2", 10, MPFR_RNDN);
        mpfr_init(r23783);
        mpfr_init(r23784);
        mpfr_init(r23785);
        mpfr_init(r23786);
        mpfr_init(r23787);
        mpfr_init(r23788);
        mpfr_init(r23789);
        mpfr_init(r23790);
        mpfr_init(r23791);
        mpfr_init_set_str(r23792, "3", 10, MPFR_RNDN);
        mpfr_init(r23793);
        mpfr_init(r23794);
        mpfr_init(r23795);
        mpfr_init_set_str(r23796, "1.0", 10, MPFR_RNDN);
        mpfr_init(r23797);
        mpfr_init(r23798);
        mpfr_init(r23799);
        mpfr_init(r23800);
        mpfr_init(r23801);
        mpfr_init(r23802);
        mpfr_init_set_str(r23803, "0.06250238962126126", 10, MPFR_RNDN);
        mpfr_init(r23804);
        mpfr_init_set_str(r23805, "1", 10, MPFR_RNDN);
        mpfr_init(r23806);
        mpfr_init(r23807);
        mpfr_init(r23808);
        mpfr_init(r23809);
        mpfr_init(r23810);
        mpfr_init(r23811);
        mpfr_init(r23812);
        mpfr_init(r23813);
        mpfr_init(r23814);
        mpfr_init(r23815);
        mpfr_init(r23816);
        mpfr_init(r23817);
        mpfr_init(r23818);
        mpfr_init(r23819);
        mpfr_init_set_str(r23820, "0", 10, MPFR_RNDN);
        mpfr_init(r23821);
}

double f_dm(double alpha, double beta, double i) {
        mpfr_set_d(r23781, i, MPFR_RNDN);
        ;
        mpfr_set_d(r23783, alpha, MPFR_RNDN);
        mpfr_set_d(r23784, beta, MPFR_RNDN);
        mpfr_add(r23785, r23783, r23784, MPFR_RNDN);
        mpfr_fma(r23786, r23782, r23781, r23785, MPFR_RNDN);
        mpfr_div(r23787, r23781, r23786, MPFR_RNDN);
        mpfr_add(r23788, r23784, r23781, MPFR_RNDN);
        mpfr_add(r23789, r23783, r23788, MPFR_RNDN);
        mpfr_div(r23790, r23789, r23786, MPFR_RNDN);
        mpfr_mul(r23791, r23787, r23790, MPFR_RNDN);
        ;
        mpfr_pow(r23793, r23791, r23792, MPFR_RNDN);
        mpfr_mul(r23794, r23784, r23783, MPFR_RNDN);
        mpfr_fma(r23795, r23789, r23781, r23794, MPFR_RNDN);
        ;
        mpfr_neg(r23797, r23796, MPFR_RNDN);
        mpfr_fma(r23798, r23786, r23786, r23797, MPFR_RNDN);
        mpfr_div(r23799, r23795, r23798, MPFR_RNDN);
        mpfr_pow(r23800, r23799, r23792, MPFR_RNDN);
        mpfr_mul(r23801, r23793, r23800, MPFR_RNDN);
        mpfr_cbrt(r23802, r23801, MPFR_RNDN);
        ;
        mpfr_set_si(r23804, mpfr_cmp(r23802, r23803) <= 0, MPFR_RNDN);
        ;
        mpfr_fma(r23806, r23781, r23782, r23783, MPFR_RNDN);
        mpfr_add(r23807, r23806, r23784, MPFR_RNDN);
        mpfr_fma(r23808, r23807, r23807, r23797, MPFR_RNDN);
        mpfr_sqrt(r23809, r23808, MPFR_RNDN);
        mpfr_div(r23810, r23805, r23809, MPFR_RNDN);
        mpfr_add(r23811, r23783, r23781, MPFR_RNDN);
        mpfr_add(r23812, r23811, r23784, MPFR_RNDN);
        mpfr_fma(r23813, r23812, r23781, r23794, MPFR_RNDN);
        mpfr_div(r23814, r23813, r23809, MPFR_RNDN);
        mpfr_mul(r23815, r23810, r23814, MPFR_RNDN);
        mpfr_div(r23816, r23812, r23807, MPFR_RNDN);
        mpfr_div(r23817, r23781, r23807, MPFR_RNDN);
        mpfr_mul(r23818, r23816, r23817, MPFR_RNDN);
        mpfr_mul(r23819, r23815, r23818, MPFR_RNDN);
        ;
        if (mpfr_get_si(r23804, MPFR_RNDN)) { mpfr_set(r23821, r23819, MPFR_RNDN); } else { mpfr_set(r23821, r23820, MPFR_RNDN); };
        return mpfr_get_d(r23821, MPFR_RNDN);
}

