#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 r15686 = 2.0f;
        float r15687 = n;
        float r15688 = r15686 * r15687;
        float r15689 = U;
        float r15690 = r15688 * r15689;
        float r15691 = t;
        float r15692 = l;
        float r15693 = r15692 * r15692;
        float r15694 = Om;
        float r15695 = r15693 / r15694;
        float r15696 = r15686 * r15695;
        float r15697 = r15691 - r15696;
        float r15698 = r15692 / r15694;
        float r15699 = r15698 * r15698;
        float r15700 = r15687 * r15699;
        float r15701 = U_;
        float r15702 = r15689 - r15701;
        float r15703 = r15700 * r15702;
        float r15704 = r15697 - r15703;
        float r15705 = r15690 * r15704;
        float r15706 = sqrt(r15705);
        return r15706;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15707 = 2.0;
        double r15708 = n;
        double r15709 = r15707 * r15708;
        double r15710 = U;
        double r15711 = r15709 * r15710;
        double r15712 = t;
        double r15713 = l;
        double r15714 = r15713 * r15713;
        double r15715 = Om;
        double r15716 = r15714 / r15715;
        double r15717 = r15707 * r15716;
        double r15718 = r15712 - r15717;
        double r15719 = r15713 / r15715;
        double r15720 = r15719 * r15719;
        double r15721 = r15708 * r15720;
        double r15722 = U_;
        double r15723 = r15710 - r15722;
        double r15724 = r15721 * r15723;
        double r15725 = r15718 - r15724;
        double r15726 = r15711 * r15725;
        double r15727 = sqrt(r15726);
        return r15727;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15728 = 2.0f;
        float r15729 = n;
        float r15730 = r15728 * r15729;
        float r15731 = U;
        float r15732 = r15730 * r15731;
        float r15733 = t;
        float r15734 = l;
        float r15735 = r15734 * r15734;
        float r15736 = Om;
        float r15737 = r15735 / r15736;
        float r15738 = r15728 * r15737;
        float r15739 = r15733 - r15738;
        float r15740 = r15734 / r15736;
        float r15741 = r15740 * r15740;
        float r15742 = r15729 * r15741;
        float r15743 = U_;
        float r15744 = r15731 - r15743;
        float r15745 = r15742 * r15744;
        float r15746 = r15739 - r15745;
        float r15747 = r15732 * r15746;
        float r15748 = 2.8768657472588494e-42f;
        bool r15749 = r15747 <= r15748;
        float r15750 = r15736 / r15734;
        float r15751 = r15734 / r15750;
        float r15752 = r15728 * r15751;
        float r15753 = r15733 - r15752;
        float r15754 = r15753 - r15745;
        float r15755 = r15731 * r15754;
        float r15756 = r15730 * r15755;
        float r15757 = sqrt(r15756);
        float r15758 = 1.0f;
        float r15759 = pow(r15742, r15758);
        float r15760 = r15759 * r15744;
        float r15761 = r15753 - r15760;
        float r15762 = r15732 * r15761;
        float r15763 = sqrt(r15762);
        float r15764 = r15749 ? r15757 : r15763;
        return r15764;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15765 = 2.0;
        double r15766 = n;
        double r15767 = r15765 * r15766;
        double r15768 = U;
        double r15769 = r15767 * r15768;
        double r15770 = t;
        double r15771 = l;
        double r15772 = r15771 * r15771;
        double r15773 = Om;
        double r15774 = r15772 / r15773;
        double r15775 = r15765 * r15774;
        double r15776 = r15770 - r15775;
        double r15777 = r15771 / r15773;
        double r15778 = r15777 * r15777;
        double r15779 = r15766 * r15778;
        double r15780 = U_;
        double r15781 = r15768 - r15780;
        double r15782 = r15779 * r15781;
        double r15783 = r15776 - r15782;
        double r15784 = r15769 * r15783;
        double r15785 = 2.8768657472588494e-42;
        bool r15786 = r15784 <= r15785;
        double r15787 = r15773 / r15771;
        double r15788 = r15771 / r15787;
        double r15789 = r15765 * r15788;
        double r15790 = r15770 - r15789;
        double r15791 = r15790 - r15782;
        double r15792 = r15768 * r15791;
        double r15793 = r15767 * r15792;
        double r15794 = sqrt(r15793);
        double r15795 = 1.0;
        double r15796 = pow(r15779, r15795);
        double r15797 = r15796 * r15781;
        double r15798 = r15790 - r15797;
        double r15799 = r15769 * r15798;
        double r15800 = sqrt(r15799);
        double r15801 = r15786 ? r15794 : r15800;
        return r15801;
}

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 r15802, r15803, r15804, r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15802, "2", 10, MPFR_RNDN);
        mpfr_init(r15803);
        mpfr_init(r15804);
        mpfr_init(r15805);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15803, n, MPFR_RNDN);
        mpfr_mul(r15804, r15802, r15803, MPFR_RNDN);
        mpfr_set_d(r15805, U, MPFR_RNDN);
        mpfr_mul(r15806, r15804, r15805, MPFR_RNDN);
        mpfr_set_d(r15807, t, MPFR_RNDN);
        mpfr_set_d(r15808, l, MPFR_RNDN);
        mpfr_sqr(r15809, r15808, MPFR_RNDN);
        mpfr_set_d(r15810, Om, MPFR_RNDN);
        mpfr_div(r15811, r15809, r15810, MPFR_RNDN);
        mpfr_mul(r15812, r15802, r15811, MPFR_RNDN);
        mpfr_sub(r15813, r15807, r15812, MPFR_RNDN);
        mpfr_div(r15814, r15808, r15810, MPFR_RNDN);
        mpfr_sqr(r15815, r15814, MPFR_RNDN);
        mpfr_mul(r15816, r15803, r15815, MPFR_RNDN);
        mpfr_set_d(r15817, U_, MPFR_RNDN);
        mpfr_sub(r15818, r15805, r15817, MPFR_RNDN);
        mpfr_mul(r15819, r15816, r15818, MPFR_RNDN);
        mpfr_sub(r15820, r15813, r15819, MPFR_RNDN);
        mpfr_mul(r15821, r15806, r15820, MPFR_RNDN);
        mpfr_sqrt(r15822, r15821, MPFR_RNDN);
        return mpfr_get_d(r15822, MPFR_RNDN);
}

static mpfr_t r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15823, "2", 10, MPFR_RNDN);
        mpfr_init(r15824);
        mpfr_init(r15825);
        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(r15835);
        mpfr_init(r15836);
        mpfr_init(r15837);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
        mpfr_init(r15842);
        mpfr_init_set_str(r15843, "2.87687f-42", 10, MPFR_RNDN);
        mpfr_init(r15844);
        mpfr_init(r15845);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init_set_str(r15853, "1", 10, MPFR_RNDN);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15824, n, MPFR_RNDN);
        mpfr_mul(r15825, r15823, r15824, MPFR_RNDN);
        mpfr_set_d(r15826, U, MPFR_RNDN);
        mpfr_mul(r15827, r15825, r15826, MPFR_RNDN);
        mpfr_set_d(r15828, t, MPFR_RNDN);
        mpfr_set_d(r15829, l, MPFR_RNDN);
        mpfr_sqr(r15830, r15829, MPFR_RNDN);
        mpfr_set_d(r15831, Om, MPFR_RNDN);
        mpfr_div(r15832, r15830, r15831, MPFR_RNDN);
        mpfr_mul(r15833, r15823, r15832, MPFR_RNDN);
        mpfr_sub(r15834, r15828, r15833, MPFR_RNDN);
        mpfr_div(r15835, r15829, r15831, MPFR_RNDN);
        mpfr_sqr(r15836, r15835, MPFR_RNDN);
        mpfr_mul(r15837, r15824, r15836, MPFR_RNDN);
        mpfr_set_d(r15838, U_, MPFR_RNDN);
        mpfr_sub(r15839, r15826, r15838, MPFR_RNDN);
        mpfr_mul(r15840, r15837, r15839, MPFR_RNDN);
        mpfr_sub(r15841, r15834, r15840, MPFR_RNDN);
        mpfr_mul(r15842, r15827, r15841, MPFR_RNDN);
        ;
        mpfr_set_si(r15844, mpfr_cmp(r15842, r15843) <= 0, MPFR_RNDN);
        mpfr_div(r15845, r15831, r15829, MPFR_RNDN);
        mpfr_div(r15846, r15829, r15845, MPFR_RNDN);
        mpfr_mul(r15847, r15823, r15846, MPFR_RNDN);
        mpfr_sub(r15848, r15828, r15847, MPFR_RNDN);
        mpfr_sub(r15849, r15848, r15840, MPFR_RNDN);
        mpfr_mul(r15850, r15826, r15849, MPFR_RNDN);
        mpfr_mul(r15851, r15825, r15850, MPFR_RNDN);
        mpfr_sqrt(r15852, r15851, MPFR_RNDN);
        ;
        mpfr_pow(r15854, r15837, r15853, MPFR_RNDN);
        mpfr_mul(r15855, r15854, r15839, MPFR_RNDN);
        mpfr_sub(r15856, r15848, r15855, MPFR_RNDN);
        mpfr_mul(r15857, r15827, r15856, MPFR_RNDN);
        mpfr_sqrt(r15858, r15857, MPFR_RNDN);
        if (mpfr_get_si(r15844, MPFR_RNDN)) { mpfr_set(r15859, r15852, MPFR_RNDN); } else { mpfr_set(r15859, r15858, MPFR_RNDN); };
        return mpfr_get_d(r15859, MPFR_RNDN);
}

static mpfr_t 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, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15860, "2", 10, MPFR_RNDN);
        mpfr_init(r15861);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
        mpfr_init(r15865);
        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(r15875);
        mpfr_init(r15876);
        mpfr_init(r15877);
        mpfr_init(r15878);
        mpfr_init(r15879);
        mpfr_init_set_str(r15880, "2.87687f-42", 10, MPFR_RNDN);
        mpfr_init(r15881);
        mpfr_init(r15882);
        mpfr_init(r15883);
        mpfr_init(r15884);
        mpfr_init(r15885);
        mpfr_init(r15886);
        mpfr_init(r15887);
        mpfr_init(r15888);
        mpfr_init(r15889);
        mpfr_init_set_str(r15890, "1", 10, MPFR_RNDN);
        mpfr_init(r15891);
        mpfr_init(r15892);
        mpfr_init(r15893);
        mpfr_init(r15894);
        mpfr_init(r15895);
        mpfr_init(r15896);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15861, n, MPFR_RNDN);
        mpfr_mul(r15862, r15860, r15861, MPFR_RNDN);
        mpfr_set_d(r15863, U, MPFR_RNDN);
        mpfr_mul(r15864, r15862, r15863, MPFR_RNDN);
        mpfr_set_d(r15865, t, MPFR_RNDN);
        mpfr_set_d(r15866, l, MPFR_RNDN);
        mpfr_sqr(r15867, r15866, MPFR_RNDN);
        mpfr_set_d(r15868, Om, MPFR_RNDN);
        mpfr_div(r15869, r15867, r15868, MPFR_RNDN);
        mpfr_mul(r15870, r15860, r15869, MPFR_RNDN);
        mpfr_sub(r15871, r15865, r15870, MPFR_RNDN);
        mpfr_div(r15872, r15866, r15868, MPFR_RNDN);
        mpfr_sqr(r15873, r15872, MPFR_RNDN);
        mpfr_mul(r15874, r15861, r15873, MPFR_RNDN);
        mpfr_set_d(r15875, U_, MPFR_RNDN);
        mpfr_sub(r15876, r15863, r15875, MPFR_RNDN);
        mpfr_mul(r15877, r15874, r15876, MPFR_RNDN);
        mpfr_sub(r15878, r15871, r15877, MPFR_RNDN);
        mpfr_mul(r15879, r15864, r15878, MPFR_RNDN);
        ;
        mpfr_set_si(r15881, mpfr_cmp(r15879, r15880) <= 0, MPFR_RNDN);
        mpfr_div(r15882, r15868, r15866, MPFR_RNDN);
        mpfr_div(r15883, r15866, r15882, MPFR_RNDN);
        mpfr_mul(r15884, r15860, r15883, MPFR_RNDN);
        mpfr_sub(r15885, r15865, r15884, MPFR_RNDN);
        mpfr_sub(r15886, r15885, r15877, MPFR_RNDN);
        mpfr_mul(r15887, r15863, r15886, MPFR_RNDN);
        mpfr_mul(r15888, r15862, r15887, MPFR_RNDN);
        mpfr_sqrt(r15889, r15888, MPFR_RNDN);
        ;
        mpfr_pow(r15891, r15874, r15890, MPFR_RNDN);
        mpfr_mul(r15892, r15891, r15876, MPFR_RNDN);
        mpfr_sub(r15893, r15885, r15892, MPFR_RNDN);
        mpfr_mul(r15894, r15864, r15893, MPFR_RNDN);
        mpfr_sqrt(r15895, r15894, MPFR_RNDN);
        if (mpfr_get_si(r15881, MPFR_RNDN)) { mpfr_set(r15896, r15889, MPFR_RNDN); } else { mpfr_set(r15896, r15895, MPFR_RNDN); };
        return mpfr_get_d(r15896, MPFR_RNDN);
}