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

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r21573 = 2;
        float r21574 = n;
        float r21575 = r21573 * r21574;
        float r21576 = U;
        float r21577 = r21575 * r21576;
        float r21578 = t;
        float r21579 = l;
        float r21580 = r21579 * r21579;
        float r21581 = Om;
        float r21582 = r21580 / r21581;
        float r21583 = r21573 * r21582;
        float r21584 = r21578 - r21583;
        float r21585 = r21579 / r21581;
        float r21586 = pow(r21585, r21573);
        float r21587 = r21574 * r21586;
        float r21588 = U_;
        float r21589 = r21576 - r21588;
        float r21590 = r21587 * r21589;
        float r21591 = r21584 - r21590;
        float r21592 = r21577 * r21591;
        float r21593 = sqrt(r21592);
        return r21593;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21594 = 2;
        double r21595 = n;
        double r21596 = r21594 * r21595;
        double r21597 = U;
        double r21598 = r21596 * r21597;
        double r21599 = t;
        double r21600 = l;
        double r21601 = r21600 * r21600;
        double r21602 = Om;
        double r21603 = r21601 / r21602;
        double r21604 = r21594 * r21603;
        double r21605 = r21599 - r21604;
        double r21606 = r21600 / r21602;
        double r21607 = pow(r21606, r21594);
        double r21608 = r21595 * r21607;
        double r21609 = U_;
        double r21610 = r21597 - r21609;
        double r21611 = r21608 * r21610;
        double r21612 = r21605 - r21611;
        double r21613 = r21598 * r21612;
        double r21614 = sqrt(r21613);
        return r21614;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21615 = n;
        float r21616 = r21615 + r21615;
        float r21617 = U;
        float r21618 = r21616 * r21617;
        float r21619 = -1.9995104719206465e-239;
        bool r21620 = r21618 <= r21619;
        float r21621 = t;
        float r21622 = l;
        float r21623 = r21622 + r21622;
        float r21624 = Om;
        float r21625 = r21622 / r21624;
        float r21626 = r21623 * r21625;
        float r21627 = r21621 - r21626;
        float r21628 = r21627 * r21618;
        float r21629 = sqrt(r21628);
        float r21630 = 0.0;
        bool r21631 = r21618 <= r21630;
        float r21632 = 2;
        float r21633 = r21632 * r21615;
        float r21634 = r21622 * r21622;
        float r21635 = r21634 / r21624;
        float r21636 = r21632 * r21635;
        float r21637 = r21621 - r21636;
        float r21638 = r21615 * r21625;
        float r21639 = r21638 * r21625;
        float r21640 = U_;
        float r21641 = r21617 - r21640;
        float r21642 = r21639 * r21641;
        float r21643 = r21637 - r21642;
        float r21644 = r21617 * r21643;
        float r21645 = r21633 * r21644;
        float r21646 = sqrt(r21645);
        float r21647 = r21633 * r21617;
        float r21648 = sqrt(r21647);
        float r21649 = pow(r21625, r21632);
        float r21650 = r21615 * r21649;
        float r21651 = r21650 * r21641;
        float r21652 = r21637 - r21651;
        float r21653 = sqrt(r21652);
        float r21654 = r21648 * r21653;
        float r21655 = r21631 ? r21646 : r21654;
        float r21656 = r21620 ? r21629 : r21655;
        return r21656;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21657 = n;
        double r21658 = r21657 + r21657;
        double r21659 = U;
        double r21660 = r21658 * r21659;
        double r21661 = -1.9995104719206465e-239;
        bool r21662 = r21660 <= r21661;
        double r21663 = t;
        double r21664 = l;
        double r21665 = r21664 + r21664;
        double r21666 = Om;
        double r21667 = r21664 / r21666;
        double r21668 = r21665 * r21667;
        double r21669 = r21663 - r21668;
        double r21670 = r21669 * r21660;
        double r21671 = sqrt(r21670);
        double r21672 = 0.0;
        bool r21673 = r21660 <= r21672;
        double r21674 = 2;
        double r21675 = r21674 * r21657;
        double r21676 = r21664 * r21664;
        double r21677 = r21676 / r21666;
        double r21678 = r21674 * r21677;
        double r21679 = r21663 - r21678;
        double r21680 = r21657 * r21667;
        double r21681 = r21680 * r21667;
        double r21682 = U_;
        double r21683 = r21659 - r21682;
        double r21684 = r21681 * r21683;
        double r21685 = r21679 - r21684;
        double r21686 = r21659 * r21685;
        double r21687 = r21675 * r21686;
        double r21688 = sqrt(r21687);
        double r21689 = r21675 * r21659;
        double r21690 = sqrt(r21689);
        double r21691 = pow(r21667, r21674);
        double r21692 = r21657 * r21691;
        double r21693 = r21692 * r21683;
        double r21694 = r21679 - r21693;
        double r21695 = sqrt(r21694);
        double r21696 = r21690 * r21695;
        double r21697 = r21673 ? r21688 : r21696;
        double r21698 = r21662 ? r21671 : r21697;
        return r21698;
}

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 r21699, r21700, r21701, r21702, r21703, r21704, r21705, r21706, r21707, r21708, r21709, r21710, r21711, r21712, r21713, r21714, r21715, r21716, r21717, r21718, r21719;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21699, "2", 10, MPFR_RNDN);
        mpfr_init(r21700);
        mpfr_init(r21701);
        mpfr_init(r21702);
        mpfr_init(r21703);
        mpfr_init(r21704);
        mpfr_init(r21705);
        mpfr_init(r21706);
        mpfr_init(r21707);
        mpfr_init(r21708);
        mpfr_init(r21709);
        mpfr_init(r21710);
        mpfr_init(r21711);
        mpfr_init(r21712);
        mpfr_init(r21713);
        mpfr_init(r21714);
        mpfr_init(r21715);
        mpfr_init(r21716);
        mpfr_init(r21717);
        mpfr_init(r21718);
        mpfr_init(r21719);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21700, n, MPFR_RNDN);
        mpfr_mul(r21701, r21699, r21700, MPFR_RNDN);
        mpfr_set_d(r21702, U, MPFR_RNDN);
        mpfr_mul(r21703, r21701, r21702, MPFR_RNDN);
        mpfr_set_d(r21704, t, MPFR_RNDN);
        mpfr_set_d(r21705, l, MPFR_RNDN);
        mpfr_mul(r21706, r21705, r21705, MPFR_RNDN);
        mpfr_set_d(r21707, Om, MPFR_RNDN);
        mpfr_div(r21708, r21706, r21707, MPFR_RNDN);
        mpfr_mul(r21709, r21699, r21708, MPFR_RNDN);
        mpfr_sub(r21710, r21704, r21709, MPFR_RNDN);
        mpfr_div(r21711, r21705, r21707, MPFR_RNDN);
        mpfr_pow(r21712, r21711, r21699, MPFR_RNDN);
        mpfr_mul(r21713, r21700, r21712, MPFR_RNDN);
        mpfr_set_d(r21714, U_, MPFR_RNDN);
        mpfr_sub(r21715, r21702, r21714, MPFR_RNDN);
        mpfr_mul(r21716, r21713, r21715, MPFR_RNDN);
        mpfr_sub(r21717, r21710, r21716, MPFR_RNDN);
        mpfr_mul(r21718, r21703, r21717, MPFR_RNDN);
        mpfr_sqrt(r21719, r21718, MPFR_RNDN);
        return mpfr_get_d(r21719, MPFR_RNDN);
}

static mpfr_t r21720, r21721, r21722, r21723, r21724, r21725, r21726, r21727, r21728, r21729, r21730, r21731, r21732, r21733, r21734, r21735, r21736, r21737, r21738, r21739, r21740, r21741, r21742, r21743, r21744, r21745, r21746, r21747, r21748, r21749, r21750, r21751, r21752, r21753, r21754, r21755, r21756, r21757, r21758, r21759, r21760, r21761;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21720);
        mpfr_init(r21721);
        mpfr_init(r21722);
        mpfr_init(r21723);
        mpfr_init_set_str(r21724, "-1.9995104719206465e-239", 10, MPFR_RNDN);
        mpfr_init(r21725);
        mpfr_init(r21726);
        mpfr_init(r21727);
        mpfr_init(r21728);
        mpfr_init(r21729);
        mpfr_init(r21730);
        mpfr_init(r21731);
        mpfr_init(r21732);
        mpfr_init(r21733);
        mpfr_init(r21734);
        mpfr_init_set_str(r21735, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21736);
        mpfr_init_set_str(r21737, "2", 10, MPFR_RNDN);
        mpfr_init(r21738);
        mpfr_init(r21739);
        mpfr_init(r21740);
        mpfr_init(r21741);
        mpfr_init(r21742);
        mpfr_init(r21743);
        mpfr_init(r21744);
        mpfr_init(r21745);
        mpfr_init(r21746);
        mpfr_init(r21747);
        mpfr_init(r21748);
        mpfr_init(r21749);
        mpfr_init(r21750);
        mpfr_init(r21751);
        mpfr_init(r21752);
        mpfr_init(r21753);
        mpfr_init(r21754);
        mpfr_init(r21755);
        mpfr_init(r21756);
        mpfr_init(r21757);
        mpfr_init(r21758);
        mpfr_init(r21759);
        mpfr_init(r21760);
        mpfr_init(r21761);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21720, n, MPFR_RNDN);
        mpfr_add(r21721, r21720, r21720, MPFR_RNDN);
        mpfr_set_d(r21722, U, MPFR_RNDN);
        mpfr_mul(r21723, r21721, r21722, MPFR_RNDN);
        ;
        mpfr_set_si(r21725, mpfr_cmp(r21723, r21724) <= 0, MPFR_RNDN);
        mpfr_set_d(r21726, t, MPFR_RNDN);
        mpfr_set_d(r21727, l, MPFR_RNDN);
        mpfr_add(r21728, r21727, r21727, MPFR_RNDN);
        mpfr_set_d(r21729, Om, MPFR_RNDN);
        mpfr_div(r21730, r21727, r21729, MPFR_RNDN);
        mpfr_mul(r21731, r21728, r21730, MPFR_RNDN);
        mpfr_sub(r21732, r21726, r21731, MPFR_RNDN);
        mpfr_mul(r21733, r21732, r21723, MPFR_RNDN);
        mpfr_sqrt(r21734, r21733, MPFR_RNDN);
        ;
        mpfr_set_si(r21736, mpfr_cmp(r21723, r21735) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21738, r21737, r21720, MPFR_RNDN);
        mpfr_mul(r21739, r21727, r21727, MPFR_RNDN);
        mpfr_div(r21740, r21739, r21729, MPFR_RNDN);
        mpfr_mul(r21741, r21737, r21740, MPFR_RNDN);
        mpfr_sub(r21742, r21726, r21741, MPFR_RNDN);
        mpfr_mul(r21743, r21720, r21730, MPFR_RNDN);
        mpfr_mul(r21744, r21743, r21730, MPFR_RNDN);
        mpfr_set_d(r21745, U_, MPFR_RNDN);
        mpfr_sub(r21746, r21722, r21745, MPFR_RNDN);
        mpfr_mul(r21747, r21744, r21746, MPFR_RNDN);
        mpfr_sub(r21748, r21742, r21747, MPFR_RNDN);
        mpfr_mul(r21749, r21722, r21748, MPFR_RNDN);
        mpfr_mul(r21750, r21738, r21749, MPFR_RNDN);
        mpfr_sqrt(r21751, r21750, MPFR_RNDN);
        mpfr_mul(r21752, r21738, r21722, MPFR_RNDN);
        mpfr_sqrt(r21753, r21752, MPFR_RNDN);
        mpfr_pow(r21754, r21730, r21737, MPFR_RNDN);
        mpfr_mul(r21755, r21720, r21754, MPFR_RNDN);
        mpfr_mul(r21756, r21755, r21746, MPFR_RNDN);
        mpfr_sub(r21757, r21742, r21756, MPFR_RNDN);
        mpfr_sqrt(r21758, r21757, MPFR_RNDN);
        mpfr_mul(r21759, r21753, r21758, MPFR_RNDN);
        if (mpfr_get_si(r21736, MPFR_RNDN)) { mpfr_set(r21760, r21751, MPFR_RNDN); } else { mpfr_set(r21760, r21759, MPFR_RNDN); };
        if (mpfr_get_si(r21725, MPFR_RNDN)) { mpfr_set(r21761, r21734, MPFR_RNDN); } else { mpfr_set(r21761, r21760, MPFR_RNDN); };
        return mpfr_get_d(r21761, MPFR_RNDN);
}

static mpfr_t r21762, r21763, r21764, r21765, r21766, r21767, r21768, r21769, r21770, r21771, r21772, r21773, r21774, r21775, r21776, r21777, r21778, r21779, r21780, r21781, r21782, r21783, r21784, r21785, r21786, r21787, r21788, r21789, r21790, r21791, r21792, r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21762);
        mpfr_init(r21763);
        mpfr_init(r21764);
        mpfr_init(r21765);
        mpfr_init_set_str(r21766, "-1.9995104719206465e-239", 10, MPFR_RNDN);
        mpfr_init(r21767);
        mpfr_init(r21768);
        mpfr_init(r21769);
        mpfr_init(r21770);
        mpfr_init(r21771);
        mpfr_init(r21772);
        mpfr_init(r21773);
        mpfr_init(r21774);
        mpfr_init(r21775);
        mpfr_init(r21776);
        mpfr_init_set_str(r21777, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21778);
        mpfr_init_set_str(r21779, "2", 10, MPFR_RNDN);
        mpfr_init(r21780);
        mpfr_init(r21781);
        mpfr_init(r21782);
        mpfr_init(r21783);
        mpfr_init(r21784);
        mpfr_init(r21785);
        mpfr_init(r21786);
        mpfr_init(r21787);
        mpfr_init(r21788);
        mpfr_init(r21789);
        mpfr_init(r21790);
        mpfr_init(r21791);
        mpfr_init(r21792);
        mpfr_init(r21793);
        mpfr_init(r21794);
        mpfr_init(r21795);
        mpfr_init(r21796);
        mpfr_init(r21797);
        mpfr_init(r21798);
        mpfr_init(r21799);
        mpfr_init(r21800);
        mpfr_init(r21801);
        mpfr_init(r21802);
        mpfr_init(r21803);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21762, n, MPFR_RNDN);
        mpfr_add(r21763, r21762, r21762, MPFR_RNDN);
        mpfr_set_d(r21764, U, MPFR_RNDN);
        mpfr_mul(r21765, r21763, r21764, MPFR_RNDN);
        ;
        mpfr_set_si(r21767, mpfr_cmp(r21765, r21766) <= 0, MPFR_RNDN);
        mpfr_set_d(r21768, t, MPFR_RNDN);
        mpfr_set_d(r21769, l, MPFR_RNDN);
        mpfr_add(r21770, r21769, r21769, MPFR_RNDN);
        mpfr_set_d(r21771, Om, MPFR_RNDN);
        mpfr_div(r21772, r21769, r21771, MPFR_RNDN);
        mpfr_mul(r21773, r21770, r21772, MPFR_RNDN);
        mpfr_sub(r21774, r21768, r21773, MPFR_RNDN);
        mpfr_mul(r21775, r21774, r21765, MPFR_RNDN);
        mpfr_sqrt(r21776, r21775, MPFR_RNDN);
        ;
        mpfr_set_si(r21778, mpfr_cmp(r21765, r21777) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21780, r21779, r21762, MPFR_RNDN);
        mpfr_mul(r21781, r21769, r21769, MPFR_RNDN);
        mpfr_div(r21782, r21781, r21771, MPFR_RNDN);
        mpfr_mul(r21783, r21779, r21782, MPFR_RNDN);
        mpfr_sub(r21784, r21768, r21783, MPFR_RNDN);
        mpfr_mul(r21785, r21762, r21772, MPFR_RNDN);
        mpfr_mul(r21786, r21785, r21772, MPFR_RNDN);
        mpfr_set_d(r21787, U_, MPFR_RNDN);
        mpfr_sub(r21788, r21764, r21787, MPFR_RNDN);
        mpfr_mul(r21789, r21786, r21788, MPFR_RNDN);
        mpfr_sub(r21790, r21784, r21789, MPFR_RNDN);
        mpfr_mul(r21791, r21764, r21790, MPFR_RNDN);
        mpfr_mul(r21792, r21780, r21791, MPFR_RNDN);
        mpfr_sqrt(r21793, r21792, MPFR_RNDN);
        mpfr_mul(r21794, r21780, r21764, MPFR_RNDN);
        mpfr_sqrt(r21795, r21794, MPFR_RNDN);
        mpfr_pow(r21796, r21772, r21779, MPFR_RNDN);
        mpfr_mul(r21797, r21762, r21796, MPFR_RNDN);
        mpfr_mul(r21798, r21797, r21788, MPFR_RNDN);
        mpfr_sub(r21799, r21784, r21798, MPFR_RNDN);
        mpfr_sqrt(r21800, r21799, MPFR_RNDN);
        mpfr_mul(r21801, r21795, r21800, MPFR_RNDN);
        if (mpfr_get_si(r21778, MPFR_RNDN)) { mpfr_set(r21802, r21793, MPFR_RNDN); } else { mpfr_set(r21802, r21801, MPFR_RNDN); };
        if (mpfr_get_si(r21767, MPFR_RNDN)) { mpfr_set(r21803, r21776, MPFR_RNDN); } else { mpfr_set(r21803, r21802, MPFR_RNDN); };
        return mpfr_get_d(r21803, MPFR_RNDN);
}