#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 r20575 = 2;
        float r20576 = n;
        float r20577 = r20575 * r20576;
        float r20578 = U;
        float r20579 = r20577 * r20578;
        float r20580 = t;
        float r20581 = l;
        float r20582 = r20581 * r20581;
        float r20583 = Om;
        float r20584 = r20582 / r20583;
        float r20585 = r20575 * r20584;
        float r20586 = r20580 - r20585;
        float r20587 = r20581 / r20583;
        float r20588 = pow(r20587, r20575);
        float r20589 = r20576 * r20588;
        float r20590 = U_;
        float r20591 = r20578 - r20590;
        float r20592 = r20589 * r20591;
        float r20593 = r20586 - r20592;
        float r20594 = r20579 * r20593;
        float r20595 = sqrt(r20594);
        return r20595;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r20596 = 2;
        double r20597 = n;
        double r20598 = r20596 * r20597;
        double r20599 = U;
        double r20600 = r20598 * r20599;
        double r20601 = t;
        double r20602 = l;
        double r20603 = r20602 * r20602;
        double r20604 = Om;
        double r20605 = r20603 / r20604;
        double r20606 = r20596 * r20605;
        double r20607 = r20601 - r20606;
        double r20608 = r20602 / r20604;
        double r20609 = pow(r20608, r20596);
        double r20610 = r20597 * r20609;
        double r20611 = U_;
        double r20612 = r20599 - r20611;
        double r20613 = r20610 * r20612;
        double r20614 = r20607 - r20613;
        double r20615 = r20600 * r20614;
        double r20616 = sqrt(r20615);
        return r20616;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r20617 = n;
        float r20618 = -1.1569873072294722e+178;
        bool r20619 = r20617 <= r20618;
        float r20620 = 2;
        float r20621 = r20620 * r20617;
        float r20622 = U;
        float r20623 = t;
        float r20624 = l;
        float r20625 = Om;
        float r20626 = r20625 / r20624;
        float r20627 = r20624 / r20626;
        float r20628 = r20620 * r20627;
        float r20629 = r20623 - r20628;
        float r20630 = r20624 / r20625;
        float r20631 = pow(r20630, r20620);
        float r20632 = r20617 * r20631;
        float r20633 = U_;
        float r20634 = r20622 - r20633;
        float r20635 = r20632 * r20634;
        float r20636 = r20629 - r20635;
        float r20637 = r20622 * r20636;
        float r20638 = r20621 * r20637;
        float r20639 = sqrt(r20638);
        float r20640 = sqrt(r20639);
        float r20641 = r20640 * r20640;
        float r20642 = -2.554443534974689e+16;
        bool r20643 = r20617 <= r20642;
        float r20644 = r20621 * r20622;
        float r20645 = sqrt(r20644);
        float r20646 = r20624 * r20624;
        float r20647 = r20646 / r20625;
        float r20648 = r20620 * r20647;
        float r20649 = r20623 - r20648;
        float r20650 = r20649 - r20635;
        float r20651 = sqrt(r20650);
        float r20652 = r20645 * r20651;
        float r20653 = 6.198423932636519e-293;
        bool r20654 = r20617 <= r20653;
        float r20655 = r20644 * r20636;
        float r20656 = sqrt(r20655);
        float r20657 = sqrt(r20656);
        float r20658 = r20657 * r20657;
        float r20659 = sqrt(r20621);
        float r20660 = sqrt(r20637);
        float r20661 = r20659 * r20660;
        float r20662 = r20654 ? r20658 : r20661;
        float r20663 = r20643 ? r20652 : r20662;
        float r20664 = r20619 ? r20641 : r20663;
        return r20664;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r20665 = n;
        double r20666 = -1.1569873072294722e+178;
        bool r20667 = r20665 <= r20666;
        double r20668 = 2;
        double r20669 = r20668 * r20665;
        double r20670 = U;
        double r20671 = t;
        double r20672 = l;
        double r20673 = Om;
        double r20674 = r20673 / r20672;
        double r20675 = r20672 / r20674;
        double r20676 = r20668 * r20675;
        double r20677 = r20671 - r20676;
        double r20678 = r20672 / r20673;
        double r20679 = pow(r20678, r20668);
        double r20680 = r20665 * r20679;
        double r20681 = U_;
        double r20682 = r20670 - r20681;
        double r20683 = r20680 * r20682;
        double r20684 = r20677 - r20683;
        double r20685 = r20670 * r20684;
        double r20686 = r20669 * r20685;
        double r20687 = sqrt(r20686);
        double r20688 = sqrt(r20687);
        double r20689 = r20688 * r20688;
        double r20690 = -2.554443534974689e+16;
        bool r20691 = r20665 <= r20690;
        double r20692 = r20669 * r20670;
        double r20693 = sqrt(r20692);
        double r20694 = r20672 * r20672;
        double r20695 = r20694 / r20673;
        double r20696 = r20668 * r20695;
        double r20697 = r20671 - r20696;
        double r20698 = r20697 - r20683;
        double r20699 = sqrt(r20698);
        double r20700 = r20693 * r20699;
        double r20701 = 6.198423932636519e-293;
        bool r20702 = r20665 <= r20701;
        double r20703 = r20692 * r20684;
        double r20704 = sqrt(r20703);
        double r20705 = sqrt(r20704);
        double r20706 = r20705 * r20705;
        double r20707 = sqrt(r20669);
        double r20708 = sqrt(r20685);
        double r20709 = r20707 * r20708;
        double r20710 = r20702 ? r20706 : r20709;
        double r20711 = r20691 ? r20700 : r20710;
        double r20712 = r20667 ? r20689 : r20711;
        return r20712;
}

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 r20713, r20714, r20715, r20716, r20717, r20718, r20719, r20720, r20721, r20722, r20723, r20724, r20725, r20726, r20727, r20728, r20729, r20730, r20731, r20732, r20733;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r20713, "2", 10, MPFR_RNDN);
        mpfr_init(r20714);
        mpfr_init(r20715);
        mpfr_init(r20716);
        mpfr_init(r20717);
        mpfr_init(r20718);
        mpfr_init(r20719);
        mpfr_init(r20720);
        mpfr_init(r20721);
        mpfr_init(r20722);
        mpfr_init(r20723);
        mpfr_init(r20724);
        mpfr_init(r20725);
        mpfr_init(r20726);
        mpfr_init(r20727);
        mpfr_init(r20728);
        mpfr_init(r20729);
        mpfr_init(r20730);
        mpfr_init(r20731);
        mpfr_init(r20732);
        mpfr_init(r20733);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r20714, n, MPFR_RNDN);
        mpfr_mul(r20715, r20713, r20714, MPFR_RNDN);
        mpfr_set_d(r20716, U, MPFR_RNDN);
        mpfr_mul(r20717, r20715, r20716, MPFR_RNDN);
        mpfr_set_d(r20718, t, MPFR_RNDN);
        mpfr_set_d(r20719, l, MPFR_RNDN);
        mpfr_mul(r20720, r20719, r20719, MPFR_RNDN);
        mpfr_set_d(r20721, Om, MPFR_RNDN);
        mpfr_div(r20722, r20720, r20721, MPFR_RNDN);
        mpfr_mul(r20723, r20713, r20722, MPFR_RNDN);
        mpfr_sub(r20724, r20718, r20723, MPFR_RNDN);
        mpfr_div(r20725, r20719, r20721, MPFR_RNDN);
        mpfr_pow(r20726, r20725, r20713, MPFR_RNDN);
        mpfr_mul(r20727, r20714, r20726, MPFR_RNDN);
        mpfr_set_d(r20728, U_, MPFR_RNDN);
        mpfr_sub(r20729, r20716, r20728, MPFR_RNDN);
        mpfr_mul(r20730, r20727, r20729, MPFR_RNDN);
        mpfr_sub(r20731, r20724, r20730, MPFR_RNDN);
        mpfr_mul(r20732, r20717, r20731, MPFR_RNDN);
        mpfr_sqrt(r20733, r20732, MPFR_RNDN);
        return mpfr_get_d(r20733, MPFR_RNDN);
}

static mpfr_t r20734, r20735, r20736, r20737, r20738, r20739, r20740, r20741, r20742, r20743, r20744, r20745, r20746, r20747, r20748, r20749, r20750, r20751, r20752, r20753, r20754, r20755, r20756, r20757, r20758, r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769, r20770, r20771, r20772, r20773, r20774, r20775, r20776, r20777, r20778, r20779, r20780, r20781;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20734);
        mpfr_init_set_str(r20735, "-1.1569873072294722e+178", 10, MPFR_RNDN);
        mpfr_init(r20736);
        mpfr_init_set_str(r20737, "2", 10, MPFR_RNDN);
        mpfr_init(r20738);
        mpfr_init(r20739);
        mpfr_init(r20740);
        mpfr_init(r20741);
        mpfr_init(r20742);
        mpfr_init(r20743);
        mpfr_init(r20744);
        mpfr_init(r20745);
        mpfr_init(r20746);
        mpfr_init(r20747);
        mpfr_init(r20748);
        mpfr_init(r20749);
        mpfr_init(r20750);
        mpfr_init(r20751);
        mpfr_init(r20752);
        mpfr_init(r20753);
        mpfr_init(r20754);
        mpfr_init(r20755);
        mpfr_init(r20756);
        mpfr_init(r20757);
        mpfr_init(r20758);
        mpfr_init_set_str(r20759, "-2.554443534974689e+16", 10, MPFR_RNDN);
        mpfr_init(r20760);
        mpfr_init(r20761);
        mpfr_init(r20762);
        mpfr_init(r20763);
        mpfr_init(r20764);
        mpfr_init(r20765);
        mpfr_init(r20766);
        mpfr_init(r20767);
        mpfr_init(r20768);
        mpfr_init(r20769);
        mpfr_init_set_str(r20770, "6.198423932636519e-293", 10, MPFR_RNDN);
        mpfr_init(r20771);
        mpfr_init(r20772);
        mpfr_init(r20773);
        mpfr_init(r20774);
        mpfr_init(r20775);
        mpfr_init(r20776);
        mpfr_init(r20777);
        mpfr_init(r20778);
        mpfr_init(r20779);
        mpfr_init(r20780);
        mpfr_init(r20781);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20734, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20736, mpfr_cmp(r20734, r20735) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r20738, r20737, r20734, MPFR_RNDN);
        mpfr_set_d(r20739, U, MPFR_RNDN);
        mpfr_set_d(r20740, t, MPFR_RNDN);
        mpfr_set_d(r20741, l, MPFR_RNDN);
        mpfr_set_d(r20742, Om, MPFR_RNDN);
        mpfr_div(r20743, r20742, r20741, MPFR_RNDN);
        mpfr_div(r20744, r20741, r20743, MPFR_RNDN);
        mpfr_mul(r20745, r20737, r20744, MPFR_RNDN);
        mpfr_sub(r20746, r20740, r20745, MPFR_RNDN);
        mpfr_div(r20747, r20741, r20742, MPFR_RNDN);
        mpfr_pow(r20748, r20747, r20737, MPFR_RNDN);
        mpfr_mul(r20749, r20734, r20748, MPFR_RNDN);
        mpfr_set_d(r20750, U_, MPFR_RNDN);
        mpfr_sub(r20751, r20739, r20750, MPFR_RNDN);
        mpfr_mul(r20752, r20749, r20751, MPFR_RNDN);
        mpfr_sub(r20753, r20746, r20752, MPFR_RNDN);
        mpfr_mul(r20754, r20739, r20753, MPFR_RNDN);
        mpfr_mul(r20755, r20738, r20754, MPFR_RNDN);
        mpfr_sqrt(r20756, r20755, MPFR_RNDN);
        mpfr_sqrt(r20757, r20756, MPFR_RNDN);
        mpfr_mul(r20758, r20757, r20757, MPFR_RNDN);
        ;
        mpfr_set_si(r20760, mpfr_cmp(r20734, r20759) <= 0, MPFR_RNDN);
        mpfr_mul(r20761, r20738, r20739, MPFR_RNDN);
        mpfr_sqrt(r20762, r20761, MPFR_RNDN);
        mpfr_mul(r20763, r20741, r20741, MPFR_RNDN);
        mpfr_div(r20764, r20763, r20742, MPFR_RNDN);
        mpfr_mul(r20765, r20737, r20764, MPFR_RNDN);
        mpfr_sub(r20766, r20740, r20765, MPFR_RNDN);
        mpfr_sub(r20767, r20766, r20752, MPFR_RNDN);
        mpfr_sqrt(r20768, r20767, MPFR_RNDN);
        mpfr_mul(r20769, r20762, r20768, MPFR_RNDN);
        ;
        mpfr_set_si(r20771, mpfr_cmp(r20734, r20770) <= 0, MPFR_RNDN);
        mpfr_mul(r20772, r20761, r20753, MPFR_RNDN);
        mpfr_sqrt(r20773, r20772, MPFR_RNDN);
        mpfr_sqrt(r20774, r20773, MPFR_RNDN);
        mpfr_mul(r20775, r20774, r20774, MPFR_RNDN);
        mpfr_sqrt(r20776, r20738, MPFR_RNDN);
        mpfr_sqrt(r20777, r20754, MPFR_RNDN);
        mpfr_mul(r20778, r20776, r20777, MPFR_RNDN);
        if (mpfr_get_si(r20771, MPFR_RNDN)) { mpfr_set(r20779, r20775, MPFR_RNDN); } else { mpfr_set(r20779, r20778, MPFR_RNDN); };
        if (mpfr_get_si(r20760, MPFR_RNDN)) { mpfr_set(r20780, r20769, MPFR_RNDN); } else { mpfr_set(r20780, r20779, MPFR_RNDN); };
        if (mpfr_get_si(r20736, MPFR_RNDN)) { mpfr_set(r20781, r20758, MPFR_RNDN); } else { mpfr_set(r20781, r20780, MPFR_RNDN); };
        return mpfr_get_d(r20781, MPFR_RNDN);
}

static mpfr_t r20782, r20783, r20784, r20785, r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794, r20795, r20796, r20797, r20798, r20799, r20800, r20801, r20802, r20803, r20804, r20805, r20806, r20807, r20808, r20809, r20810, r20811, r20812, r20813, r20814, r20815, r20816, r20817, r20818, r20819, r20820, r20821, r20822, r20823, r20824, r20825, r20826, r20827, r20828, r20829;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20782);
        mpfr_init_set_str(r20783, "-1.1569873072294722e+178", 10, MPFR_RNDN);
        mpfr_init(r20784);
        mpfr_init_set_str(r20785, "2", 10, MPFR_RNDN);
        mpfr_init(r20786);
        mpfr_init(r20787);
        mpfr_init(r20788);
        mpfr_init(r20789);
        mpfr_init(r20790);
        mpfr_init(r20791);
        mpfr_init(r20792);
        mpfr_init(r20793);
        mpfr_init(r20794);
        mpfr_init(r20795);
        mpfr_init(r20796);
        mpfr_init(r20797);
        mpfr_init(r20798);
        mpfr_init(r20799);
        mpfr_init(r20800);
        mpfr_init(r20801);
        mpfr_init(r20802);
        mpfr_init(r20803);
        mpfr_init(r20804);
        mpfr_init(r20805);
        mpfr_init(r20806);
        mpfr_init_set_str(r20807, "-2.554443534974689e+16", 10, MPFR_RNDN);
        mpfr_init(r20808);
        mpfr_init(r20809);
        mpfr_init(r20810);
        mpfr_init(r20811);
        mpfr_init(r20812);
        mpfr_init(r20813);
        mpfr_init(r20814);
        mpfr_init(r20815);
        mpfr_init(r20816);
        mpfr_init(r20817);
        mpfr_init_set_str(r20818, "6.198423932636519e-293", 10, MPFR_RNDN);
        mpfr_init(r20819);
        mpfr_init(r20820);
        mpfr_init(r20821);
        mpfr_init(r20822);
        mpfr_init(r20823);
        mpfr_init(r20824);
        mpfr_init(r20825);
        mpfr_init(r20826);
        mpfr_init(r20827);
        mpfr_init(r20828);
        mpfr_init(r20829);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20782, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20784, mpfr_cmp(r20782, r20783) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r20786, r20785, r20782, MPFR_RNDN);
        mpfr_set_d(r20787, U, MPFR_RNDN);
        mpfr_set_d(r20788, t, MPFR_RNDN);
        mpfr_set_d(r20789, l, MPFR_RNDN);
        mpfr_set_d(r20790, Om, MPFR_RNDN);
        mpfr_div(r20791, r20790, r20789, MPFR_RNDN);
        mpfr_div(r20792, r20789, r20791, MPFR_RNDN);
        mpfr_mul(r20793, r20785, r20792, MPFR_RNDN);
        mpfr_sub(r20794, r20788, r20793, MPFR_RNDN);
        mpfr_div(r20795, r20789, r20790, MPFR_RNDN);
        mpfr_pow(r20796, r20795, r20785, MPFR_RNDN);
        mpfr_mul(r20797, r20782, r20796, MPFR_RNDN);
        mpfr_set_d(r20798, U_, MPFR_RNDN);
        mpfr_sub(r20799, r20787, r20798, MPFR_RNDN);
        mpfr_mul(r20800, r20797, r20799, MPFR_RNDN);
        mpfr_sub(r20801, r20794, r20800, MPFR_RNDN);
        mpfr_mul(r20802, r20787, r20801, MPFR_RNDN);
        mpfr_mul(r20803, r20786, r20802, MPFR_RNDN);
        mpfr_sqrt(r20804, r20803, MPFR_RNDN);
        mpfr_sqrt(r20805, r20804, MPFR_RNDN);
        mpfr_mul(r20806, r20805, r20805, MPFR_RNDN);
        ;
        mpfr_set_si(r20808, mpfr_cmp(r20782, r20807) <= 0, MPFR_RNDN);
        mpfr_mul(r20809, r20786, r20787, MPFR_RNDN);
        mpfr_sqrt(r20810, r20809, MPFR_RNDN);
        mpfr_mul(r20811, r20789, r20789, MPFR_RNDN);
        mpfr_div(r20812, r20811, r20790, MPFR_RNDN);
        mpfr_mul(r20813, r20785, r20812, MPFR_RNDN);
        mpfr_sub(r20814, r20788, r20813, MPFR_RNDN);
        mpfr_sub(r20815, r20814, r20800, MPFR_RNDN);
        mpfr_sqrt(r20816, r20815, MPFR_RNDN);
        mpfr_mul(r20817, r20810, r20816, MPFR_RNDN);
        ;
        mpfr_set_si(r20819, mpfr_cmp(r20782, r20818) <= 0, MPFR_RNDN);
        mpfr_mul(r20820, r20809, r20801, MPFR_RNDN);
        mpfr_sqrt(r20821, r20820, MPFR_RNDN);
        mpfr_sqrt(r20822, r20821, MPFR_RNDN);
        mpfr_mul(r20823, r20822, r20822, MPFR_RNDN);
        mpfr_sqrt(r20824, r20786, MPFR_RNDN);
        mpfr_sqrt(r20825, r20802, MPFR_RNDN);
        mpfr_mul(r20826, r20824, r20825, MPFR_RNDN);
        if (mpfr_get_si(r20819, MPFR_RNDN)) { mpfr_set(r20827, r20823, MPFR_RNDN); } else { mpfr_set(r20827, r20826, MPFR_RNDN); };
        if (mpfr_get_si(r20808, MPFR_RNDN)) { mpfr_set(r20828, r20817, MPFR_RNDN); } else { mpfr_set(r20828, r20827, MPFR_RNDN); };
        if (mpfr_get_si(r20784, MPFR_RNDN)) { mpfr_set(r20829, r20806, MPFR_RNDN); } else { mpfr_set(r20829, r20828, MPFR_RNDN); };
        return mpfr_get_d(r20829, MPFR_RNDN);
}