#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 r15662 = 2.0f;
        float r15663 = n;
        float r15664 = r15662 * r15663;
        float r15665 = U;
        float r15666 = r15664 * r15665;
        float r15667 = t;
        float r15668 = l;
        float r15669 = r15668 * r15668;
        float r15670 = Om;
        float r15671 = r15669 / r15670;
        float r15672 = r15662 * r15671;
        float r15673 = r15667 - r15672;
        float r15674 = r15668 / r15670;
        float r15675 = r15674 * r15674;
        float r15676 = r15663 * r15675;
        float r15677 = U_;
        float r15678 = r15665 - r15677;
        float r15679 = r15676 * r15678;
        float r15680 = r15673 - r15679;
        float r15681 = r15666 * r15680;
        float r15682 = sqrt(r15681);
        return r15682;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15683 = 2.0;
        double r15684 = n;
        double r15685 = r15683 * r15684;
        double r15686 = U;
        double r15687 = r15685 * r15686;
        double r15688 = t;
        double r15689 = l;
        double r15690 = r15689 * r15689;
        double r15691 = Om;
        double r15692 = r15690 / r15691;
        double r15693 = r15683 * r15692;
        double r15694 = r15688 - r15693;
        double r15695 = r15689 / r15691;
        double r15696 = r15695 * r15695;
        double r15697 = r15684 * r15696;
        double r15698 = U_;
        double r15699 = r15686 - r15698;
        double r15700 = r15697 * r15699;
        double r15701 = r15694 - r15700;
        double r15702 = r15687 * r15701;
        double r15703 = sqrt(r15702);
        return r15703;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15704 = 2.0f;
        float r15705 = n;
        float r15706 = r15704 * r15705;
        float r15707 = U;
        float r15708 = r15706 * r15707;
        float r15709 = t;
        float r15710 = l;
        float r15711 = r15710 * r15710;
        float r15712 = Om;
        float r15713 = r15711 / r15712;
        float r15714 = r15704 * r15713;
        float r15715 = r15709 - r15714;
        float r15716 = r15710 / r15712;
        float r15717 = r15716 * r15716;
        float r15718 = r15705 * r15717;
        float r15719 = U_;
        float r15720 = r15707 - r15719;
        float r15721 = r15718 * r15720;
        float r15722 = r15715 - r15721;
        float r15723 = r15708 * r15722;
        float r15724 = 0.004204896744340658f;
        bool r15725 = r15723 <= r15724;
        float r15726 = r15712 / r15710;
        float r15727 = r15710 / r15726;
        float r15728 = r15704 * r15727;
        float r15729 = r15709 - r15728;
        float r15730 = r15729 - r15721;
        float r15731 = r15707 * r15730;
        float r15732 = r15706 * r15731;
        float r15733 = sqrt(r15732);
        float r15734 = +inf.0f;
        bool r15735 = r15723 <= r15734;
        float r15736 = r15705 * r15716;
        float r15737 = r15736 * r15716;
        float r15738 = r15737 * r15720;
        float r15739 = r15729 - r15738;
        float r15740 = r15708 * r15739;
        float r15741 = sqrt(r15740);
        float r15742 = r15735 ? r15741 : r15741;
        float r15743 = r15725 ? r15733 : r15742;
        return r15743;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15744 = 2.0;
        double r15745 = n;
        double r15746 = r15744 * r15745;
        double r15747 = U;
        double r15748 = r15746 * r15747;
        double r15749 = t;
        double r15750 = l;
        double r15751 = r15750 * r15750;
        double r15752 = Om;
        double r15753 = r15751 / r15752;
        double r15754 = r15744 * r15753;
        double r15755 = r15749 - r15754;
        double r15756 = r15750 / r15752;
        double r15757 = r15756 * r15756;
        double r15758 = r15745 * r15757;
        double r15759 = U_;
        double r15760 = r15747 - r15759;
        double r15761 = r15758 * r15760;
        double r15762 = r15755 - r15761;
        double r15763 = r15748 * r15762;
        double r15764 = 0.004204896744340658;
        bool r15765 = r15763 <= r15764;
        double r15766 = r15752 / r15750;
        double r15767 = r15750 / r15766;
        double r15768 = r15744 * r15767;
        double r15769 = r15749 - r15768;
        double r15770 = r15769 - r15761;
        double r15771 = r15747 * r15770;
        double r15772 = r15746 * r15771;
        double r15773 = sqrt(r15772);
        double r15774 = +inf.0;
        bool r15775 = r15763 <= r15774;
        double r15776 = r15745 * r15756;
        double r15777 = r15776 * r15756;
        double r15778 = r15777 * r15760;
        double r15779 = r15769 - r15778;
        double r15780 = r15748 * r15779;
        double r15781 = sqrt(r15780);
        double r15782 = r15775 ? r15781 : r15781;
        double r15783 = r15765 ? r15773 : r15782;
        return r15783;
}

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 r15784, r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796, r15797, r15798, r15799, r15800, r15801, r15802, r15803, r15804;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15784, "2", 10, MPFR_RNDN);
        mpfr_init(r15785);
        mpfr_init(r15786);
        mpfr_init(r15787);
        mpfr_init(r15788);
        mpfr_init(r15789);
        mpfr_init(r15790);
        mpfr_init(r15791);
        mpfr_init(r15792);
        mpfr_init(r15793);
        mpfr_init(r15794);
        mpfr_init(r15795);
        mpfr_init(r15796);
        mpfr_init(r15797);
        mpfr_init(r15798);
        mpfr_init(r15799);
        mpfr_init(r15800);
        mpfr_init(r15801);
        mpfr_init(r15802);
        mpfr_init(r15803);
        mpfr_init(r15804);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15785, n, MPFR_RNDN);
        mpfr_mul(r15786, r15784, r15785, MPFR_RNDN);
        mpfr_set_d(r15787, U, MPFR_RNDN);
        mpfr_mul(r15788, r15786, r15787, MPFR_RNDN);
        mpfr_set_d(r15789, t, MPFR_RNDN);
        mpfr_set_d(r15790, l, MPFR_RNDN);
        mpfr_sqr(r15791, r15790, MPFR_RNDN);
        mpfr_set_d(r15792, Om, MPFR_RNDN);
        mpfr_div(r15793, r15791, r15792, MPFR_RNDN);
        mpfr_mul(r15794, r15784, r15793, MPFR_RNDN);
        mpfr_sub(r15795, r15789, r15794, MPFR_RNDN);
        mpfr_div(r15796, r15790, r15792, MPFR_RNDN);
        mpfr_sqr(r15797, r15796, MPFR_RNDN);
        mpfr_mul(r15798, r15785, r15797, MPFR_RNDN);
        mpfr_set_d(r15799, U_, MPFR_RNDN);
        mpfr_sub(r15800, r15787, r15799, MPFR_RNDN);
        mpfr_mul(r15801, r15798, r15800, MPFR_RNDN);
        mpfr_sub(r15802, r15795, r15801, MPFR_RNDN);
        mpfr_mul(r15803, r15788, r15802, MPFR_RNDN);
        mpfr_sqrt(r15804, r15803, MPFR_RNDN);
        return mpfr_get_d(r15804, MPFR_RNDN);
}

static mpfr_t r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15805, "2", 10, MPFR_RNDN);
        mpfr_init(r15806);
        mpfr_init(r15807);
        mpfr_init(r15808);
        mpfr_init(r15809);
        mpfr_init(r15810);
        mpfr_init(r15811);
        mpfr_init(r15812);
        mpfr_init(r15813);
        mpfr_init(r15814);
        mpfr_init(r15815);
        mpfr_init(r15816);
        mpfr_init(r15817);
        mpfr_init(r15818);
        mpfr_init(r15819);
        mpfr_init(r15820);
        mpfr_init(r15821);
        mpfr_init(r15822);
        mpfr_init(r15823);
        mpfr_init(r15824);
        mpfr_init_set_str(r15825, "0.0042048967f0", 10, MPFR_RNDN);
        mpfr_init(r15826);
        mpfr_init(r15827);
        mpfr_init(r15828);
        mpfr_init(r15829);
        mpfr_init(r15830);
        mpfr_init(r15831);
        mpfr_init(r15832);
        mpfr_init(r15833);
        mpfr_init(r15834);
        mpfr_init_set_str(r15835, "+inf.f", 10, MPFR_RNDN);
        mpfr_init(r15836);
        mpfr_init(r15837);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init(r15844);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15806, n, MPFR_RNDN);
        mpfr_mul(r15807, r15805, r15806, MPFR_RNDN);
        mpfr_set_d(r15808, U, MPFR_RNDN);
        mpfr_mul(r15809, r15807, r15808, MPFR_RNDN);
        mpfr_set_d(r15810, t, MPFR_RNDN);
        mpfr_set_d(r15811, l, MPFR_RNDN);
        mpfr_sqr(r15812, r15811, MPFR_RNDN);
        mpfr_set_d(r15813, Om, MPFR_RNDN);
        mpfr_div(r15814, r15812, r15813, MPFR_RNDN);
        mpfr_mul(r15815, r15805, r15814, MPFR_RNDN);
        mpfr_sub(r15816, r15810, r15815, MPFR_RNDN);
        mpfr_div(r15817, r15811, r15813, MPFR_RNDN);
        mpfr_sqr(r15818, r15817, MPFR_RNDN);
        mpfr_mul(r15819, r15806, r15818, MPFR_RNDN);
        mpfr_set_d(r15820, U_, MPFR_RNDN);
        mpfr_sub(r15821, r15808, r15820, MPFR_RNDN);
        mpfr_mul(r15822, r15819, r15821, MPFR_RNDN);
        mpfr_sub(r15823, r15816, r15822, MPFR_RNDN);
        mpfr_mul(r15824, r15809, r15823, MPFR_RNDN);
        ;
        mpfr_set_si(r15826, mpfr_cmp(r15824, r15825) <= 0, MPFR_RNDN);
        mpfr_div(r15827, r15813, r15811, MPFR_RNDN);
        mpfr_div(r15828, r15811, r15827, MPFR_RNDN);
        mpfr_mul(r15829, r15805, r15828, MPFR_RNDN);
        mpfr_sub(r15830, r15810, r15829, MPFR_RNDN);
        mpfr_sub(r15831, r15830, r15822, MPFR_RNDN);
        mpfr_mul(r15832, r15808, r15831, MPFR_RNDN);
        mpfr_mul(r15833, r15807, r15832, MPFR_RNDN);
        mpfr_sqrt(r15834, r15833, MPFR_RNDN);
        ;
        mpfr_set_si(r15836, mpfr_cmp(r15824, r15835) <= 0, MPFR_RNDN);
        mpfr_mul(r15837, r15806, r15817, MPFR_RNDN);
        mpfr_mul(r15838, r15837, r15817, MPFR_RNDN);
        mpfr_mul(r15839, r15838, r15821, MPFR_RNDN);
        mpfr_sub(r15840, r15830, r15839, MPFR_RNDN);
        mpfr_mul(r15841, r15809, r15840, MPFR_RNDN);
        mpfr_sqrt(r15842, r15841, MPFR_RNDN);
        if (mpfr_get_si(r15836, MPFR_RNDN)) { mpfr_set(r15843, r15842, MPFR_RNDN); } else { mpfr_set(r15843, r15842, MPFR_RNDN); };
        if (mpfr_get_si(r15826, MPFR_RNDN)) { mpfr_set(r15844, r15834, MPFR_RNDN); } else { mpfr_set(r15844, r15843, MPFR_RNDN); };
        return mpfr_get_d(r15844, MPFR_RNDN);
}

static mpfr_t r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15845, "2", 10, MPFR_RNDN);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init(r15861);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
        mpfr_init_set_str(r15865, "0.0042048967f0", 10, MPFR_RNDN);
        mpfr_init(r15866);
        mpfr_init(r15867);
        mpfr_init(r15868);
        mpfr_init(r15869);
        mpfr_init(r15870);
        mpfr_init(r15871);
        mpfr_init(r15872);
        mpfr_init(r15873);
        mpfr_init(r15874);
        mpfr_init_set_str(r15875, "+inf.f", 10, MPFR_RNDN);
        mpfr_init(r15876);
        mpfr_init(r15877);
        mpfr_init(r15878);
        mpfr_init(r15879);
        mpfr_init(r15880);
        mpfr_init(r15881);
        mpfr_init(r15882);
        mpfr_init(r15883);
        mpfr_init(r15884);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15846, n, MPFR_RNDN);
        mpfr_mul(r15847, r15845, r15846, MPFR_RNDN);
        mpfr_set_d(r15848, U, MPFR_RNDN);
        mpfr_mul(r15849, r15847, r15848, MPFR_RNDN);
        mpfr_set_d(r15850, t, MPFR_RNDN);
        mpfr_set_d(r15851, l, MPFR_RNDN);
        mpfr_sqr(r15852, r15851, MPFR_RNDN);
        mpfr_set_d(r15853, Om, MPFR_RNDN);
        mpfr_div(r15854, r15852, r15853, MPFR_RNDN);
        mpfr_mul(r15855, r15845, r15854, MPFR_RNDN);
        mpfr_sub(r15856, r15850, r15855, MPFR_RNDN);
        mpfr_div(r15857, r15851, r15853, MPFR_RNDN);
        mpfr_sqr(r15858, r15857, MPFR_RNDN);
        mpfr_mul(r15859, r15846, r15858, MPFR_RNDN);
        mpfr_set_d(r15860, U_, MPFR_RNDN);
        mpfr_sub(r15861, r15848, r15860, MPFR_RNDN);
        mpfr_mul(r15862, r15859, r15861, MPFR_RNDN);
        mpfr_sub(r15863, r15856, r15862, MPFR_RNDN);
        mpfr_mul(r15864, r15849, r15863, MPFR_RNDN);
        ;
        mpfr_set_si(r15866, mpfr_cmp(r15864, r15865) <= 0, MPFR_RNDN);
        mpfr_div(r15867, r15853, r15851, MPFR_RNDN);
        mpfr_div(r15868, r15851, r15867, MPFR_RNDN);
        mpfr_mul(r15869, r15845, r15868, MPFR_RNDN);
        mpfr_sub(r15870, r15850, r15869, MPFR_RNDN);
        mpfr_sub(r15871, r15870, r15862, MPFR_RNDN);
        mpfr_mul(r15872, r15848, r15871, MPFR_RNDN);
        mpfr_mul(r15873, r15847, r15872, MPFR_RNDN);
        mpfr_sqrt(r15874, r15873, MPFR_RNDN);
        ;
        mpfr_set_si(r15876, mpfr_cmp(r15864, r15875) <= 0, MPFR_RNDN);
        mpfr_mul(r15877, r15846, r15857, MPFR_RNDN);
        mpfr_mul(r15878, r15877, r15857, MPFR_RNDN);
        mpfr_mul(r15879, r15878, r15861, MPFR_RNDN);
        mpfr_sub(r15880, r15870, r15879, MPFR_RNDN);
        mpfr_mul(r15881, r15849, r15880, MPFR_RNDN);
        mpfr_sqrt(r15882, r15881, MPFR_RNDN);
        if (mpfr_get_si(r15876, MPFR_RNDN)) { mpfr_set(r15883, r15882, MPFR_RNDN); } else { mpfr_set(r15883, r15882, MPFR_RNDN); };
        if (mpfr_get_si(r15866, MPFR_RNDN)) { mpfr_set(r15884, r15874, MPFR_RNDN); } else { mpfr_set(r15884, r15883, MPFR_RNDN); };
        return mpfr_get_d(r15884, MPFR_RNDN);
}

