#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 r20640 = 2;
        float r20641 = n;
        float r20642 = r20640 * r20641;
        float r20643 = U;
        float r20644 = r20642 * r20643;
        float r20645 = t;
        float r20646 = l;
        float r20647 = r20646 * r20646;
        float r20648 = Om;
        float r20649 = r20647 / r20648;
        float r20650 = r20640 * r20649;
        float r20651 = r20645 - r20650;
        float r20652 = r20646 / r20648;
        float r20653 = pow(r20652, r20640);
        float r20654 = r20641 * r20653;
        float r20655 = U_;
        float r20656 = r20643 - r20655;
        float r20657 = r20654 * r20656;
        float r20658 = r20651 - r20657;
        float r20659 = r20644 * r20658;
        float r20660 = sqrt(r20659);
        return r20660;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r20661 = 2;
        double r20662 = n;
        double r20663 = r20661 * r20662;
        double r20664 = U;
        double r20665 = r20663 * r20664;
        double r20666 = t;
        double r20667 = l;
        double r20668 = r20667 * r20667;
        double r20669 = Om;
        double r20670 = r20668 / r20669;
        double r20671 = r20661 * r20670;
        double r20672 = r20666 - r20671;
        double r20673 = r20667 / r20669;
        double r20674 = pow(r20673, r20661);
        double r20675 = r20662 * r20674;
        double r20676 = U_;
        double r20677 = r20664 - r20676;
        double r20678 = r20675 * r20677;
        double r20679 = r20672 - r20678;
        double r20680 = r20665 * r20679;
        double r20681 = sqrt(r20680);
        return r20681;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r20682 = n;
        float r20683 = -1.1569873072294722e+178;
        bool r20684 = r20682 <= r20683;
        float r20685 = 2;
        float r20686 = r20685 * r20682;
        float r20687 = U;
        float r20688 = t;
        float r20689 = l;
        float r20690 = Om;
        float r20691 = r20690 / r20689;
        float r20692 = r20689 / r20691;
        float r20693 = r20685 * r20692;
        float r20694 = r20688 - r20693;
        float r20695 = r20689 / r20690;
        float r20696 = pow(r20695, r20685);
        float r20697 = r20682 * r20696;
        float r20698 = U_;
        float r20699 = r20687 - r20698;
        float r20700 = r20697 * r20699;
        float r20701 = r20694 - r20700;
        float r20702 = r20687 * r20701;
        float r20703 = r20686 * r20702;
        float r20704 = sqrt(r20703);
        float r20705 = sqrt(r20704);
        float r20706 = r20705 * r20705;
        float r20707 = -2.554443534974689e+16;
        bool r20708 = r20682 <= r20707;
        float r20709 = r20686 * r20687;
        float r20710 = sqrt(r20709);
        float r20711 = r20689 * r20689;
        float r20712 = r20711 / r20690;
        float r20713 = r20685 * r20712;
        float r20714 = r20688 - r20713;
        float r20715 = r20714 - r20700;
        float r20716 = sqrt(r20715);
        float r20717 = r20710 * r20716;
        float r20718 = 6.198423932636519e-293;
        bool r20719 = r20682 <= r20718;
        float r20720 = r20709 * r20701;
        float r20721 = sqrt(r20720);
        float r20722 = sqrt(r20721);
        float r20723 = r20722 * r20722;
        float r20724 = sqrt(r20686);
        float r20725 = sqrt(r20702);
        float r20726 = r20724 * r20725;
        float r20727 = r20719 ? r20723 : r20726;
        float r20728 = r20708 ? r20717 : r20727;
        float r20729 = r20684 ? r20706 : r20728;
        return r20729;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r20730 = n;
        double r20731 = -1.1569873072294722e+178;
        bool r20732 = r20730 <= r20731;
        double r20733 = 2;
        double r20734 = r20733 * r20730;
        double r20735 = U;
        double r20736 = t;
        double r20737 = l;
        double r20738 = Om;
        double r20739 = r20738 / r20737;
        double r20740 = r20737 / r20739;
        double r20741 = r20733 * r20740;
        double r20742 = r20736 - r20741;
        double r20743 = r20737 / r20738;
        double r20744 = pow(r20743, r20733);
        double r20745 = r20730 * r20744;
        double r20746 = U_;
        double r20747 = r20735 - r20746;
        double r20748 = r20745 * r20747;
        double r20749 = r20742 - r20748;
        double r20750 = r20735 * r20749;
        double r20751 = r20734 * r20750;
        double r20752 = sqrt(r20751);
        double r20753 = sqrt(r20752);
        double r20754 = r20753 * r20753;
        double r20755 = -2.554443534974689e+16;
        bool r20756 = r20730 <= r20755;
        double r20757 = r20734 * r20735;
        double r20758 = sqrt(r20757);
        double r20759 = r20737 * r20737;
        double r20760 = r20759 / r20738;
        double r20761 = r20733 * r20760;
        double r20762 = r20736 - r20761;
        double r20763 = r20762 - r20748;
        double r20764 = sqrt(r20763);
        double r20765 = r20758 * r20764;
        double r20766 = 6.198423932636519e-293;
        bool r20767 = r20730 <= r20766;
        double r20768 = r20757 * r20749;
        double r20769 = sqrt(r20768);
        double r20770 = sqrt(r20769);
        double r20771 = r20770 * r20770;
        double r20772 = sqrt(r20734);
        double r20773 = sqrt(r20750);
        double r20774 = r20772 * r20773;
        double r20775 = r20767 ? r20771 : r20774;
        double r20776 = r20756 ? r20765 : r20775;
        double r20777 = r20732 ? r20754 : r20776;
        return r20777;
}

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 r20778, r20779, r20780, r20781, r20782, r20783, r20784, r20785, r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794, r20795, r20796, r20797, r20798;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r20778, "2", 10, MPFR_RNDN);
        mpfr_init(r20779);
        mpfr_init(r20780);
        mpfr_init(r20781);
        mpfr_init(r20782);
        mpfr_init(r20783);
        mpfr_init(r20784);
        mpfr_init(r20785);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r20779, n, MPFR_RNDN);
        mpfr_mul(r20780, r20778, r20779, MPFR_RNDN);
        mpfr_set_d(r20781, U, MPFR_RNDN);
        mpfr_mul(r20782, r20780, r20781, MPFR_RNDN);
        mpfr_set_d(r20783, t, MPFR_RNDN);
        mpfr_set_d(r20784, l, MPFR_RNDN);
        mpfr_mul(r20785, r20784, r20784, MPFR_RNDN);
        mpfr_set_d(r20786, Om, MPFR_RNDN);
        mpfr_div(r20787, r20785, r20786, MPFR_RNDN);
        mpfr_mul(r20788, r20778, r20787, MPFR_RNDN);
        mpfr_sub(r20789, r20783, r20788, MPFR_RNDN);
        mpfr_div(r20790, r20784, r20786, MPFR_RNDN);
        mpfr_pow(r20791, r20790, r20778, MPFR_RNDN);
        mpfr_mul(r20792, r20779, r20791, MPFR_RNDN);
        mpfr_set_d(r20793, U_, MPFR_RNDN);
        mpfr_sub(r20794, r20781, r20793, MPFR_RNDN);
        mpfr_mul(r20795, r20792, r20794, MPFR_RNDN);
        mpfr_sub(r20796, r20789, r20795, MPFR_RNDN);
        mpfr_mul(r20797, r20782, r20796, MPFR_RNDN);
        mpfr_sqrt(r20798, r20797, MPFR_RNDN);
        return mpfr_get_d(r20798, MPFR_RNDN);
}

static mpfr_t 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, r20830, r20831, r20832, r20833, r20834, r20835, r20836, r20837, r20838, r20839, r20840, r20841, r20842, r20843, r20844, r20845, r20846;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20799);
        mpfr_init_set_str(r20800, "-1.1569873072294722e+178", 10, MPFR_RNDN);
        mpfr_init(r20801);
        mpfr_init_set_str(r20802, "2", 10, MPFR_RNDN);
        mpfr_init(r20803);
        mpfr_init(r20804);
        mpfr_init(r20805);
        mpfr_init(r20806);
        mpfr_init(r20807);
        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(r20818);
        mpfr_init(r20819);
        mpfr_init(r20820);
        mpfr_init(r20821);
        mpfr_init(r20822);
        mpfr_init(r20823);
        mpfr_init_set_str(r20824, "-2.554443534974689e+16", 10, MPFR_RNDN);
        mpfr_init(r20825);
        mpfr_init(r20826);
        mpfr_init(r20827);
        mpfr_init(r20828);
        mpfr_init(r20829);
        mpfr_init(r20830);
        mpfr_init(r20831);
        mpfr_init(r20832);
        mpfr_init(r20833);
        mpfr_init(r20834);
        mpfr_init_set_str(r20835, "6.198423932636519e-293", 10, MPFR_RNDN);
        mpfr_init(r20836);
        mpfr_init(r20837);
        mpfr_init(r20838);
        mpfr_init(r20839);
        mpfr_init(r20840);
        mpfr_init(r20841);
        mpfr_init(r20842);
        mpfr_init(r20843);
        mpfr_init(r20844);
        mpfr_init(r20845);
        mpfr_init(r20846);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20799, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20801, mpfr_cmp(r20799, r20800) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r20803, r20802, r20799, MPFR_RNDN);
        mpfr_set_d(r20804, U, MPFR_RNDN);
        mpfr_set_d(r20805, t, MPFR_RNDN);
        mpfr_set_d(r20806, l, MPFR_RNDN);
        mpfr_set_d(r20807, Om, MPFR_RNDN);
        mpfr_div(r20808, r20807, r20806, MPFR_RNDN);
        mpfr_div(r20809, r20806, r20808, MPFR_RNDN);
        mpfr_mul(r20810, r20802, r20809, MPFR_RNDN);
        mpfr_sub(r20811, r20805, r20810, MPFR_RNDN);
        mpfr_div(r20812, r20806, r20807, MPFR_RNDN);
        mpfr_pow(r20813, r20812, r20802, MPFR_RNDN);
        mpfr_mul(r20814, r20799, r20813, MPFR_RNDN);
        mpfr_set_d(r20815, U_, MPFR_RNDN);
        mpfr_sub(r20816, r20804, r20815, MPFR_RNDN);
        mpfr_mul(r20817, r20814, r20816, MPFR_RNDN);
        mpfr_sub(r20818, r20811, r20817, MPFR_RNDN);
        mpfr_mul(r20819, r20804, r20818, MPFR_RNDN);
        mpfr_mul(r20820, r20803, r20819, MPFR_RNDN);
        mpfr_sqrt(r20821, r20820, MPFR_RNDN);
        mpfr_sqrt(r20822, r20821, MPFR_RNDN);
        mpfr_mul(r20823, r20822, r20822, MPFR_RNDN);
        ;
        mpfr_set_si(r20825, mpfr_cmp(r20799, r20824) <= 0, MPFR_RNDN);
        mpfr_mul(r20826, r20803, r20804, MPFR_RNDN);
        mpfr_sqrt(r20827, r20826, MPFR_RNDN);
        mpfr_mul(r20828, r20806, r20806, MPFR_RNDN);
        mpfr_div(r20829, r20828, r20807, MPFR_RNDN);
        mpfr_mul(r20830, r20802, r20829, MPFR_RNDN);
        mpfr_sub(r20831, r20805, r20830, MPFR_RNDN);
        mpfr_sub(r20832, r20831, r20817, MPFR_RNDN);
        mpfr_sqrt(r20833, r20832, MPFR_RNDN);
        mpfr_mul(r20834, r20827, r20833, MPFR_RNDN);
        ;
        mpfr_set_si(r20836, mpfr_cmp(r20799, r20835) <= 0, MPFR_RNDN);
        mpfr_mul(r20837, r20826, r20818, MPFR_RNDN);
        mpfr_sqrt(r20838, r20837, MPFR_RNDN);
        mpfr_sqrt(r20839, r20838, MPFR_RNDN);
        mpfr_mul(r20840, r20839, r20839, MPFR_RNDN);
        mpfr_sqrt(r20841, r20803, MPFR_RNDN);
        mpfr_sqrt(r20842, r20819, MPFR_RNDN);
        mpfr_mul(r20843, r20841, r20842, MPFR_RNDN);
        if (mpfr_get_si(r20836, MPFR_RNDN)) { mpfr_set(r20844, r20840, MPFR_RNDN); } else { mpfr_set(r20844, r20843, MPFR_RNDN); };
        if (mpfr_get_si(r20825, MPFR_RNDN)) { mpfr_set(r20845, r20834, MPFR_RNDN); } else { mpfr_set(r20845, r20844, MPFR_RNDN); };
        if (mpfr_get_si(r20801, MPFR_RNDN)) { mpfr_set(r20846, r20823, MPFR_RNDN); } else { mpfr_set(r20846, r20845, MPFR_RNDN); };
        return mpfr_get_d(r20846, MPFR_RNDN);
}

static mpfr_t r20847, r20848, r20849, r20850, r20851, r20852, r20853, r20854, r20855, r20856, r20857, r20858, r20859, r20860, r20861, r20862, r20863, r20864, r20865, r20866, r20867, r20868, r20869, r20870, r20871, r20872, r20873, r20874, r20875, r20876, r20877, r20878, r20879, r20880, r20881, r20882, r20883, r20884, r20885, r20886, r20887, r20888, r20889, r20890, r20891, r20892, r20893, r20894;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20847);
        mpfr_init_set_str(r20848, "-1.1569873072294722e+178", 10, MPFR_RNDN);
        mpfr_init(r20849);
        mpfr_init_set_str(r20850, "2", 10, MPFR_RNDN);
        mpfr_init(r20851);
        mpfr_init(r20852);
        mpfr_init(r20853);
        mpfr_init(r20854);
        mpfr_init(r20855);
        mpfr_init(r20856);
        mpfr_init(r20857);
        mpfr_init(r20858);
        mpfr_init(r20859);
        mpfr_init(r20860);
        mpfr_init(r20861);
        mpfr_init(r20862);
        mpfr_init(r20863);
        mpfr_init(r20864);
        mpfr_init(r20865);
        mpfr_init(r20866);
        mpfr_init(r20867);
        mpfr_init(r20868);
        mpfr_init(r20869);
        mpfr_init(r20870);
        mpfr_init(r20871);
        mpfr_init_set_str(r20872, "-2.554443534974689e+16", 10, MPFR_RNDN);
        mpfr_init(r20873);
        mpfr_init(r20874);
        mpfr_init(r20875);
        mpfr_init(r20876);
        mpfr_init(r20877);
        mpfr_init(r20878);
        mpfr_init(r20879);
        mpfr_init(r20880);
        mpfr_init(r20881);
        mpfr_init(r20882);
        mpfr_init_set_str(r20883, "6.198423932636519e-293", 10, MPFR_RNDN);
        mpfr_init(r20884);
        mpfr_init(r20885);
        mpfr_init(r20886);
        mpfr_init(r20887);
        mpfr_init(r20888);
        mpfr_init(r20889);
        mpfr_init(r20890);
        mpfr_init(r20891);
        mpfr_init(r20892);
        mpfr_init(r20893);
        mpfr_init(r20894);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20847, n, MPFR_RNDN);
        ;
        mpfr_set_si(r20849, mpfr_cmp(r20847, r20848) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r20851, r20850, r20847, MPFR_RNDN);
        mpfr_set_d(r20852, U, MPFR_RNDN);
        mpfr_set_d(r20853, t, MPFR_RNDN);
        mpfr_set_d(r20854, l, MPFR_RNDN);
        mpfr_set_d(r20855, Om, MPFR_RNDN);
        mpfr_div(r20856, r20855, r20854, MPFR_RNDN);
        mpfr_div(r20857, r20854, r20856, MPFR_RNDN);
        mpfr_mul(r20858, r20850, r20857, MPFR_RNDN);
        mpfr_sub(r20859, r20853, r20858, MPFR_RNDN);
        mpfr_div(r20860, r20854, r20855, MPFR_RNDN);
        mpfr_pow(r20861, r20860, r20850, MPFR_RNDN);
        mpfr_mul(r20862, r20847, r20861, MPFR_RNDN);
        mpfr_set_d(r20863, U_, MPFR_RNDN);
        mpfr_sub(r20864, r20852, r20863, MPFR_RNDN);
        mpfr_mul(r20865, r20862, r20864, MPFR_RNDN);
        mpfr_sub(r20866, r20859, r20865, MPFR_RNDN);
        mpfr_mul(r20867, r20852, r20866, MPFR_RNDN);
        mpfr_mul(r20868, r20851, r20867, MPFR_RNDN);
        mpfr_sqrt(r20869, r20868, MPFR_RNDN);
        mpfr_sqrt(r20870, r20869, MPFR_RNDN);
        mpfr_mul(r20871, r20870, r20870, MPFR_RNDN);
        ;
        mpfr_set_si(r20873, mpfr_cmp(r20847, r20872) <= 0, MPFR_RNDN);
        mpfr_mul(r20874, r20851, r20852, MPFR_RNDN);
        mpfr_sqrt(r20875, r20874, MPFR_RNDN);
        mpfr_mul(r20876, r20854, r20854, MPFR_RNDN);
        mpfr_div(r20877, r20876, r20855, MPFR_RNDN);
        mpfr_mul(r20878, r20850, r20877, MPFR_RNDN);
        mpfr_sub(r20879, r20853, r20878, MPFR_RNDN);
        mpfr_sub(r20880, r20879, r20865, MPFR_RNDN);
        mpfr_sqrt(r20881, r20880, MPFR_RNDN);
        mpfr_mul(r20882, r20875, r20881, MPFR_RNDN);
        ;
        mpfr_set_si(r20884, mpfr_cmp(r20847, r20883) <= 0, MPFR_RNDN);
        mpfr_mul(r20885, r20874, r20866, MPFR_RNDN);
        mpfr_sqrt(r20886, r20885, MPFR_RNDN);
        mpfr_sqrt(r20887, r20886, MPFR_RNDN);
        mpfr_mul(r20888, r20887, r20887, MPFR_RNDN);
        mpfr_sqrt(r20889, r20851, MPFR_RNDN);
        mpfr_sqrt(r20890, r20867, MPFR_RNDN);
        mpfr_mul(r20891, r20889, r20890, MPFR_RNDN);
        if (mpfr_get_si(r20884, MPFR_RNDN)) { mpfr_set(r20892, r20888, MPFR_RNDN); } else { mpfr_set(r20892, r20891, MPFR_RNDN); };
        if (mpfr_get_si(r20873, MPFR_RNDN)) { mpfr_set(r20893, r20882, MPFR_RNDN); } else { mpfr_set(r20893, r20892, MPFR_RNDN); };
        if (mpfr_get_si(r20849, MPFR_RNDN)) { mpfr_set(r20894, r20871, MPFR_RNDN); } else { mpfr_set(r20894, r20893, MPFR_RNDN); };
        return mpfr_get_d(r20894, MPFR_RNDN);
}

