#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 r24615 = 2;
        float r24616 = n;
        float r24617 = r24615 * r24616;
        float r24618 = U;
        float r24619 = r24617 * r24618;
        float r24620 = t;
        float r24621 = l;
        float r24622 = r24621 * r24621;
        float r24623 = Om;
        float r24624 = r24622 / r24623;
        float r24625 = r24615 * r24624;
        float r24626 = r24620 - r24625;
        float r24627 = r24621 / r24623;
        float r24628 = pow(r24627, r24615);
        float r24629 = r24616 * r24628;
        float r24630 = U_;
        float r24631 = r24618 - r24630;
        float r24632 = r24629 * r24631;
        float r24633 = r24626 - r24632;
        float r24634 = r24619 * r24633;
        float r24635 = sqrt(r24634);
        return r24635;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24636 = 2;
        double r24637 = n;
        double r24638 = r24636 * r24637;
        double r24639 = U;
        double r24640 = r24638 * r24639;
        double r24641 = t;
        double r24642 = l;
        double r24643 = r24642 * r24642;
        double r24644 = Om;
        double r24645 = r24643 / r24644;
        double r24646 = r24636 * r24645;
        double r24647 = r24641 - r24646;
        double r24648 = r24642 / r24644;
        double r24649 = pow(r24648, r24636);
        double r24650 = r24637 * r24649;
        double r24651 = U_;
        double r24652 = r24639 - r24651;
        double r24653 = r24650 * r24652;
        double r24654 = r24647 - r24653;
        double r24655 = r24640 * r24654;
        double r24656 = sqrt(r24655);
        return r24656;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24657 = n;
        float r24658 = 1.0112170135790667e-290;
        bool r24659 = r24657 <= r24658;
        float r24660 = 2;
        float r24661 = r24660 * r24657;
        float r24662 = U;
        float r24663 = t;
        float r24664 = l;
        float r24665 = Om;
        float r24666 = r24665 / r24664;
        float r24667 = r24664 / r24666;
        float r24668 = r24660 * r24667;
        float r24669 = r24663 - r24668;
        float r24670 = r24664 / r24665;
        float r24671 = r24657 * r24670;
        float r24672 = r24671 * r24670;
        float r24673 = U_;
        float r24674 = r24662 - r24673;
        float r24675 = r24672 * r24674;
        float r24676 = r24669 - r24675;
        float r24677 = r24662 * r24676;
        float r24678 = r24661 * r24677;
        float r24679 = sqrt(r24678);
        float r24680 = sqrt(r24661);
        float r24681 = sqrt(r24677);
        float r24682 = r24680 * r24681;
        float r24683 = r24659 ? r24679 : r24682;
        return r24683;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24684 = n;
        double r24685 = 1.0112170135790667e-290;
        bool r24686 = r24684 <= r24685;
        double r24687 = 2;
        double r24688 = r24687 * r24684;
        double r24689 = U;
        double r24690 = t;
        double r24691 = l;
        double r24692 = Om;
        double r24693 = r24692 / r24691;
        double r24694 = r24691 / r24693;
        double r24695 = r24687 * r24694;
        double r24696 = r24690 - r24695;
        double r24697 = r24691 / r24692;
        double r24698 = r24684 * r24697;
        double r24699 = r24698 * r24697;
        double r24700 = U_;
        double r24701 = r24689 - r24700;
        double r24702 = r24699 * r24701;
        double r24703 = r24696 - r24702;
        double r24704 = r24689 * r24703;
        double r24705 = r24688 * r24704;
        double r24706 = sqrt(r24705);
        double r24707 = sqrt(r24688);
        double r24708 = sqrt(r24704);
        double r24709 = r24707 * r24708;
        double r24710 = r24686 ? r24706 : r24709;
        return r24710;
}

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 r24711, r24712, r24713, r24714, r24715, r24716, r24717, r24718, r24719, r24720, r24721, r24722, r24723, r24724, r24725, r24726, r24727, r24728, r24729, r24730, r24731;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24711, "2", 10, MPFR_RNDN);
        mpfr_init(r24712);
        mpfr_init(r24713);
        mpfr_init(r24714);
        mpfr_init(r24715);
        mpfr_init(r24716);
        mpfr_init(r24717);
        mpfr_init(r24718);
        mpfr_init(r24719);
        mpfr_init(r24720);
        mpfr_init(r24721);
        mpfr_init(r24722);
        mpfr_init(r24723);
        mpfr_init(r24724);
        mpfr_init(r24725);
        mpfr_init(r24726);
        mpfr_init(r24727);
        mpfr_init(r24728);
        mpfr_init(r24729);
        mpfr_init(r24730);
        mpfr_init(r24731);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24712, n, MPFR_RNDN);
        mpfr_mul(r24713, r24711, r24712, MPFR_RNDN);
        mpfr_set_d(r24714, U, MPFR_RNDN);
        mpfr_mul(r24715, r24713, r24714, MPFR_RNDN);
        mpfr_set_d(r24716, t, MPFR_RNDN);
        mpfr_set_d(r24717, l, MPFR_RNDN);
        mpfr_mul(r24718, r24717, r24717, MPFR_RNDN);
        mpfr_set_d(r24719, Om, MPFR_RNDN);
        mpfr_div(r24720, r24718, r24719, MPFR_RNDN);
        mpfr_mul(r24721, r24711, r24720, MPFR_RNDN);
        mpfr_sub(r24722, r24716, r24721, MPFR_RNDN);
        mpfr_div(r24723, r24717, r24719, MPFR_RNDN);
        mpfr_pow(r24724, r24723, r24711, MPFR_RNDN);
        mpfr_mul(r24725, r24712, r24724, MPFR_RNDN);
        mpfr_set_d(r24726, U_, MPFR_RNDN);
        mpfr_sub(r24727, r24714, r24726, MPFR_RNDN);
        mpfr_mul(r24728, r24725, r24727, MPFR_RNDN);
        mpfr_sub(r24729, r24722, r24728, MPFR_RNDN);
        mpfr_mul(r24730, r24715, r24729, MPFR_RNDN);
        mpfr_sqrt(r24731, r24730, MPFR_RNDN);
        return mpfr_get_d(r24731, MPFR_RNDN);
}

static mpfr_t r24732, r24733, r24734, r24735, r24736, r24737, r24738, r24739, r24740, r24741, r24742, r24743, r24744, r24745, r24746, r24747, r24748, r24749, r24750, r24751, r24752, r24753, r24754, r24755, r24756, r24757, r24758;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24732);
        mpfr_init_set_str(r24733, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24734);
        mpfr_init_set_str(r24735, "2", 10, MPFR_RNDN);
        mpfr_init(r24736);
        mpfr_init(r24737);
        mpfr_init(r24738);
        mpfr_init(r24739);
        mpfr_init(r24740);
        mpfr_init(r24741);
        mpfr_init(r24742);
        mpfr_init(r24743);
        mpfr_init(r24744);
        mpfr_init(r24745);
        mpfr_init(r24746);
        mpfr_init(r24747);
        mpfr_init(r24748);
        mpfr_init(r24749);
        mpfr_init(r24750);
        mpfr_init(r24751);
        mpfr_init(r24752);
        mpfr_init(r24753);
        mpfr_init(r24754);
        mpfr_init(r24755);
        mpfr_init(r24756);
        mpfr_init(r24757);
        mpfr_init(r24758);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24732, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24734, mpfr_cmp(r24732, r24733) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24736, r24735, r24732, MPFR_RNDN);
        mpfr_set_d(r24737, U, MPFR_RNDN);
        mpfr_set_d(r24738, t, MPFR_RNDN);
        mpfr_set_d(r24739, l, MPFR_RNDN);
        mpfr_set_d(r24740, Om, MPFR_RNDN);
        mpfr_div(r24741, r24740, r24739, MPFR_RNDN);
        mpfr_div(r24742, r24739, r24741, MPFR_RNDN);
        mpfr_mul(r24743, r24735, r24742, MPFR_RNDN);
        mpfr_sub(r24744, r24738, r24743, MPFR_RNDN);
        mpfr_div(r24745, r24739, r24740, MPFR_RNDN);
        mpfr_mul(r24746, r24732, r24745, MPFR_RNDN);
        mpfr_mul(r24747, r24746, r24745, MPFR_RNDN);
        mpfr_set_d(r24748, U_, MPFR_RNDN);
        mpfr_sub(r24749, r24737, r24748, MPFR_RNDN);
        mpfr_mul(r24750, r24747, r24749, MPFR_RNDN);
        mpfr_sub(r24751, r24744, r24750, MPFR_RNDN);
        mpfr_mul(r24752, r24737, r24751, MPFR_RNDN);
        mpfr_mul(r24753, r24736, r24752, MPFR_RNDN);
        mpfr_sqrt(r24754, r24753, MPFR_RNDN);
        mpfr_sqrt(r24755, r24736, MPFR_RNDN);
        mpfr_sqrt(r24756, r24752, MPFR_RNDN);
        mpfr_mul(r24757, r24755, r24756, MPFR_RNDN);
        if (mpfr_get_si(r24734, MPFR_RNDN)) { mpfr_set(r24758, r24754, MPFR_RNDN); } else { mpfr_set(r24758, r24757, MPFR_RNDN); };
        return mpfr_get_d(r24758, MPFR_RNDN);
}

static mpfr_t r24759, r24760, r24761, r24762, r24763, r24764, r24765, r24766, r24767, r24768, r24769, r24770, r24771, r24772, r24773, r24774, r24775, r24776, r24777, r24778, r24779, r24780, r24781, r24782, r24783, r24784, r24785;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24759);
        mpfr_init_set_str(r24760, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24761);
        mpfr_init_set_str(r24762, "2", 10, MPFR_RNDN);
        mpfr_init(r24763);
        mpfr_init(r24764);
        mpfr_init(r24765);
        mpfr_init(r24766);
        mpfr_init(r24767);
        mpfr_init(r24768);
        mpfr_init(r24769);
        mpfr_init(r24770);
        mpfr_init(r24771);
        mpfr_init(r24772);
        mpfr_init(r24773);
        mpfr_init(r24774);
        mpfr_init(r24775);
        mpfr_init(r24776);
        mpfr_init(r24777);
        mpfr_init(r24778);
        mpfr_init(r24779);
        mpfr_init(r24780);
        mpfr_init(r24781);
        mpfr_init(r24782);
        mpfr_init(r24783);
        mpfr_init(r24784);
        mpfr_init(r24785);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24759, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24761, mpfr_cmp(r24759, r24760) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24763, r24762, r24759, MPFR_RNDN);
        mpfr_set_d(r24764, U, MPFR_RNDN);
        mpfr_set_d(r24765, t, MPFR_RNDN);
        mpfr_set_d(r24766, l, MPFR_RNDN);
        mpfr_set_d(r24767, Om, MPFR_RNDN);
        mpfr_div(r24768, r24767, r24766, MPFR_RNDN);
        mpfr_div(r24769, r24766, r24768, MPFR_RNDN);
        mpfr_mul(r24770, r24762, r24769, MPFR_RNDN);
        mpfr_sub(r24771, r24765, r24770, MPFR_RNDN);
        mpfr_div(r24772, r24766, r24767, MPFR_RNDN);
        mpfr_mul(r24773, r24759, r24772, MPFR_RNDN);
        mpfr_mul(r24774, r24773, r24772, MPFR_RNDN);
        mpfr_set_d(r24775, U_, MPFR_RNDN);
        mpfr_sub(r24776, r24764, r24775, MPFR_RNDN);
        mpfr_mul(r24777, r24774, r24776, MPFR_RNDN);
        mpfr_sub(r24778, r24771, r24777, MPFR_RNDN);
        mpfr_mul(r24779, r24764, r24778, MPFR_RNDN);
        mpfr_mul(r24780, r24763, r24779, MPFR_RNDN);
        mpfr_sqrt(r24781, r24780, MPFR_RNDN);
        mpfr_sqrt(r24782, r24763, MPFR_RNDN);
        mpfr_sqrt(r24783, r24779, MPFR_RNDN);
        mpfr_mul(r24784, r24782, r24783, MPFR_RNDN);
        if (mpfr_get_si(r24761, MPFR_RNDN)) { mpfr_set(r24785, r24781, MPFR_RNDN); } else { mpfr_set(r24785, r24784, MPFR_RNDN); };
        return mpfr_get_d(r24785, MPFR_RNDN);
}