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

char *name = "Falkner and Boettcher, Equation (20:1,3)";

double f_if(float v, float t) {
        float r23591 = 1;
        float r23592 = 5;
        float r23593 = v;
        float r23594 = r23593 * r23593;
        float r23595 = r23592 * r23594;
        float r23596 = r23591 - r23595;
        float r23597 = atan2(1.0, 0.0);
        float r23598 = t;
        float r23599 = r23597 * r23598;
        float r23600 = 2;
        float r23601 = 3;
        float r23602 = r23601 * r23594;
        float r23603 = r23591 - r23602;
        float r23604 = r23600 * r23603;
        float r23605 = sqrt(r23604);
        float r23606 = r23599 * r23605;
        float r23607 = r23591 - r23594;
        float r23608 = r23606 * r23607;
        float r23609 = r23596 / r23608;
        return r23609;
}

double f_id(double v, double t) {
        double r23610 = 1;
        double r23611 = 5;
        double r23612 = v;
        double r23613 = r23612 * r23612;
        double r23614 = r23611 * r23613;
        double r23615 = r23610 - r23614;
        double r23616 = atan2(1.0, 0.0);
        double r23617 = t;
        double r23618 = r23616 * r23617;
        double r23619 = 2;
        double r23620 = 3;
        double r23621 = r23620 * r23613;
        double r23622 = r23610 - r23621;
        double r23623 = r23619 * r23622;
        double r23624 = sqrt(r23623);
        double r23625 = r23618 * r23624;
        double r23626 = r23610 - r23613;
        double r23627 = r23625 * r23626;
        double r23628 = r23615 / r23627;
        return r23628;
}


double f_of(float v, float t) {
        float r23629 = 1;
        float r23630 = t;
        float r23631 = r23629 / r23630;
        float r23632 = 2;
        float r23633 = v;
        float r23634 = r23633 * r23633;
        float r23635 = 3;
        float r23636 = r23635 + r23635;
        float r23637 = r23634 * r23636;
        float r23638 = r23632 - r23637;
        float r23639 = sqrt(r23638);
        float r23640 = r23631 / r23639;
        float r23641 = r23629 - r23634;
        float r23642 = atan2(1.0, 0.0);
        float r23643 = r23641 * r23642;
        float r23644 = r23640 / r23643;
        float r23645 = 5;
        float r23646 = r23645 * r23634;
        float r23647 = r23635 * r23634;
        float r23648 = r23629 - r23647;
        float r23649 = r23632 * r23648;
        float r23650 = sqrt(r23649);
        float r23651 = cbrt(r23650);
        float r23652 = r23651 * r23651;
        float r23653 = r23630 * r23652;
        float r23654 = r23653 * r23651;
        float r23655 = r23642 * r23654;
        float r23656 = r23655 * r23641;
        float r23657 = r23646 / r23656;
        float r23658 = r23644 - r23657;
        return r23658;
}

double f_od(double v, double t) {
        double r23659 = 1;
        double r23660 = t;
        double r23661 = r23659 / r23660;
        double r23662 = 2;
        double r23663 = v;
        double r23664 = r23663 * r23663;
        double r23665 = 3;
        double r23666 = r23665 + r23665;
        double r23667 = r23664 * r23666;
        double r23668 = r23662 - r23667;
        double r23669 = sqrt(r23668);
        double r23670 = r23661 / r23669;
        double r23671 = r23659 - r23664;
        double r23672 = atan2(1.0, 0.0);
        double r23673 = r23671 * r23672;
        double r23674 = r23670 / r23673;
        double r23675 = 5;
        double r23676 = r23675 * r23664;
        double r23677 = r23665 * r23664;
        double r23678 = r23659 - r23677;
        double r23679 = r23662 * r23678;
        double r23680 = sqrt(r23679);
        double r23681 = cbrt(r23680);
        double r23682 = r23681 * r23681;
        double r23683 = r23660 * r23682;
        double r23684 = r23683 * r23681;
        double r23685 = r23672 * r23684;
        double r23686 = r23685 * r23671;
        double r23687 = r23676 / r23686;
        double r23688 = r23674 - r23687;
        return r23688;
}

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 r23689, r23690, r23691, r23692, r23693, r23694, r23695, r23696, r23697, r23698, r23699, r23700, r23701, r23702, r23703, r23704, r23705, r23706, r23707;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23689, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23690, "5", 10, MPFR_RNDN);
        mpfr_init(r23691);
        mpfr_init(r23692);
        mpfr_init(r23693);
        mpfr_init(r23694);
        mpfr_init(r23695);
        mpfr_init(r23696);
        mpfr_init(r23697);
        mpfr_init_set_str(r23698, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23699, "3", 10, MPFR_RNDN);
        mpfr_init(r23700);
        mpfr_init(r23701);
        mpfr_init(r23702);
        mpfr_init(r23703);
        mpfr_init(r23704);
        mpfr_init(r23705);
        mpfr_init(r23706);
        mpfr_init(r23707);
}

double f_im(double v, double t) {
        ;
        ;
        mpfr_set_d(r23691, v, MPFR_RNDN);
        mpfr_mul(r23692, r23691, r23691, MPFR_RNDN);
        mpfr_mul(r23693, r23690, r23692, MPFR_RNDN);
        mpfr_sub(r23694, r23689, r23693, MPFR_RNDN);
        mpfr_const_pi(r23695, MPFR_RNDN);
        mpfr_set_d(r23696, t, MPFR_RNDN);
        mpfr_mul(r23697, r23695, r23696, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r23700, r23699, r23692, MPFR_RNDN);
        mpfr_sub(r23701, r23689, r23700, MPFR_RNDN);
        mpfr_mul(r23702, r23698, r23701, MPFR_RNDN);
        mpfr_sqrt(r23703, r23702, MPFR_RNDN);
        mpfr_mul(r23704, r23697, r23703, MPFR_RNDN);
        mpfr_sub(r23705, r23689, r23692, MPFR_RNDN);
        mpfr_mul(r23706, r23704, r23705, MPFR_RNDN);
        mpfr_div(r23707, r23694, r23706, MPFR_RNDN);
        return mpfr_get_d(r23707, MPFR_RNDN);
}

static mpfr_t r23708, r23709, r23710, r23711, r23712, r23713, r23714, r23715, r23716, r23717, r23718, r23719, r23720, r23721, r23722, r23723, r23724, r23725, r23726, r23727, r23728, r23729, r23730, r23731, r23732, r23733, r23734, r23735, r23736, r23737;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23708, "1", 10, MPFR_RNDN);
        mpfr_init(r23709);
        mpfr_init(r23710);
        mpfr_init_set_str(r23711, "2", 10, MPFR_RNDN);
        mpfr_init(r23712);
        mpfr_init(r23713);
        mpfr_init_set_str(r23714, "3", 10, MPFR_RNDN);
        mpfr_init(r23715);
        mpfr_init(r23716);
        mpfr_init(r23717);
        mpfr_init(r23718);
        mpfr_init(r23719);
        mpfr_init(r23720);
        mpfr_init(r23721);
        mpfr_init(r23722);
        mpfr_init(r23723);
        mpfr_init_set_str(r23724, "5", 10, MPFR_RNDN);
        mpfr_init(r23725);
        mpfr_init(r23726);
        mpfr_init(r23727);
        mpfr_init(r23728);
        mpfr_init(r23729);
        mpfr_init(r23730);
        mpfr_init(r23731);
        mpfr_init(r23732);
        mpfr_init(r23733);
        mpfr_init(r23734);
        mpfr_init(r23735);
        mpfr_init(r23736);
        mpfr_init(r23737);
}

double f_fm(double v, double t) {
        ;
        mpfr_set_d(r23709, t, MPFR_RNDN);
        mpfr_div(r23710, r23708, r23709, MPFR_RNDN);
        ;
        mpfr_set_d(r23712, v, MPFR_RNDN);
        mpfr_mul(r23713, r23712, r23712, MPFR_RNDN);
        ;
        mpfr_add(r23715, r23714, r23714, MPFR_RNDN);
        mpfr_mul(r23716, r23713, r23715, MPFR_RNDN);
        mpfr_sub(r23717, r23711, r23716, MPFR_RNDN);
        mpfr_sqrt(r23718, r23717, MPFR_RNDN);
        mpfr_div(r23719, r23710, r23718, MPFR_RNDN);
        mpfr_sub(r23720, r23708, r23713, MPFR_RNDN);
        mpfr_const_pi(r23721, MPFR_RNDN);
        mpfr_mul(r23722, r23720, r23721, MPFR_RNDN);
        mpfr_div(r23723, r23719, r23722, MPFR_RNDN);
        ;
        mpfr_mul(r23725, r23724, r23713, MPFR_RNDN);
        mpfr_mul(r23726, r23714, r23713, MPFR_RNDN);
        mpfr_sub(r23727, r23708, r23726, MPFR_RNDN);
        mpfr_mul(r23728, r23711, r23727, MPFR_RNDN);
        mpfr_sqrt(r23729, r23728, MPFR_RNDN);
        mpfr_cbrt(r23730, r23729, MPFR_RNDN);
        mpfr_mul(r23731, r23730, r23730, MPFR_RNDN);
        mpfr_mul(r23732, r23709, r23731, MPFR_RNDN);
        mpfr_mul(r23733, r23732, r23730, MPFR_RNDN);
        mpfr_mul(r23734, r23721, r23733, MPFR_RNDN);
        mpfr_mul(r23735, r23734, r23720, MPFR_RNDN);
        mpfr_div(r23736, r23725, r23735, MPFR_RNDN);
        mpfr_sub(r23737, r23723, r23736, MPFR_RNDN);
        return mpfr_get_d(r23737, MPFR_RNDN);
}

static mpfr_t r23738, r23739, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23738, "1", 10, MPFR_RNDN);
        mpfr_init(r23739);
        mpfr_init(r23740);
        mpfr_init_set_str(r23741, "2", 10, MPFR_RNDN);
        mpfr_init(r23742);
        mpfr_init(r23743);
        mpfr_init_set_str(r23744, "3", 10, MPFR_RNDN);
        mpfr_init(r23745);
        mpfr_init(r23746);
        mpfr_init(r23747);
        mpfr_init(r23748);
        mpfr_init(r23749);
        mpfr_init(r23750);
        mpfr_init(r23751);
        mpfr_init(r23752);
        mpfr_init(r23753);
        mpfr_init_set_str(r23754, "5", 10, MPFR_RNDN);
        mpfr_init(r23755);
        mpfr_init(r23756);
        mpfr_init(r23757);
        mpfr_init(r23758);
        mpfr_init(r23759);
        mpfr_init(r23760);
        mpfr_init(r23761);
        mpfr_init(r23762);
        mpfr_init(r23763);
        mpfr_init(r23764);
        mpfr_init(r23765);
        mpfr_init(r23766);
        mpfr_init(r23767);
}

double f_dm(double v, double t) {
        ;
        mpfr_set_d(r23739, t, MPFR_RNDN);
        mpfr_div(r23740, r23738, r23739, MPFR_RNDN);
        ;
        mpfr_set_d(r23742, v, MPFR_RNDN);
        mpfr_mul(r23743, r23742, r23742, MPFR_RNDN);
        ;
        mpfr_add(r23745, r23744, r23744, MPFR_RNDN);
        mpfr_mul(r23746, r23743, r23745, MPFR_RNDN);
        mpfr_sub(r23747, r23741, r23746, MPFR_RNDN);
        mpfr_sqrt(r23748, r23747, MPFR_RNDN);
        mpfr_div(r23749, r23740, r23748, MPFR_RNDN);
        mpfr_sub(r23750, r23738, r23743, MPFR_RNDN);
        mpfr_const_pi(r23751, MPFR_RNDN);
        mpfr_mul(r23752, r23750, r23751, MPFR_RNDN);
        mpfr_div(r23753, r23749, r23752, MPFR_RNDN);
        ;
        mpfr_mul(r23755, r23754, r23743, MPFR_RNDN);
        mpfr_mul(r23756, r23744, r23743, MPFR_RNDN);
        mpfr_sub(r23757, r23738, r23756, MPFR_RNDN);
        mpfr_mul(r23758, r23741, r23757, MPFR_RNDN);
        mpfr_sqrt(r23759, r23758, MPFR_RNDN);
        mpfr_cbrt(r23760, r23759, MPFR_RNDN);
        mpfr_mul(r23761, r23760, r23760, MPFR_RNDN);
        mpfr_mul(r23762, r23739, r23761, MPFR_RNDN);
        mpfr_mul(r23763, r23762, r23760, MPFR_RNDN);
        mpfr_mul(r23764, r23751, r23763, MPFR_RNDN);
        mpfr_mul(r23765, r23764, r23750, MPFR_RNDN);
        mpfr_div(r23766, r23755, r23765, MPFR_RNDN);
        mpfr_sub(r23767, r23753, r23766, MPFR_RNDN);
        return mpfr_get_d(r23767, MPFR_RNDN);
}