#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 r15706 = 2.0f;
        float r15707 = n;
        float r15708 = r15706 * r15707;
        float r15709 = U;
        float r15710 = r15708 * r15709;
        float r15711 = t;
        float r15712 = l;
        float r15713 = r15712 * r15712;
        float r15714 = Om;
        float r15715 = r15713 / r15714;
        float r15716 = r15706 * r15715;
        float r15717 = r15711 - r15716;
        float r15718 = r15712 / r15714;
        float r15719 = r15718 * r15718;
        float r15720 = r15707 * r15719;
        float r15721 = U_;
        float r15722 = r15709 - r15721;
        float r15723 = r15720 * r15722;
        float r15724 = r15717 - r15723;
        float r15725 = r15710 * r15724;
        float r15726 = sqrt(r15725);
        return r15726;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15727 = 2.0;
        double r15728 = n;
        double r15729 = r15727 * r15728;
        double r15730 = U;
        double r15731 = r15729 * r15730;
        double r15732 = t;
        double r15733 = l;
        double r15734 = r15733 * r15733;
        double r15735 = Om;
        double r15736 = r15734 / r15735;
        double r15737 = r15727 * r15736;
        double r15738 = r15732 - r15737;
        double r15739 = r15733 / r15735;
        double r15740 = r15739 * r15739;
        double r15741 = r15728 * r15740;
        double r15742 = U_;
        double r15743 = r15730 - r15742;
        double r15744 = r15741 * r15743;
        double r15745 = r15738 - r15744;
        double r15746 = r15731 * r15745;
        double r15747 = sqrt(r15746);
        return r15747;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15748 = 2.0f;
        float r15749 = n;
        float r15750 = r15748 * r15749;
        float r15751 = U;
        float r15752 = t;
        float r15753 = l;
        float r15754 = Om;
        float r15755 = r15754 / r15753;
        float r15756 = r15753 / r15755;
        float r15757 = r15748 * r15756;
        float r15758 = r15752 - r15757;
        float r15759 = r15753 / r15754;
        float r15760 = r15759 * r15759;
        float r15761 = r15749 * r15760;
        float r15762 = cbrt(r15761);
        float r15763 = U_;
        float r15764 = r15751 - r15763;
        float r15765 = cbrt(r15764);
        float r15766 = r15762 * r15765;
        float r15767 = r15766 * (r15766 * r15766);
        float r15768 = r15758 - r15767;
        float r15769 = r15751 * r15768;
        float r15770 = r15750 * r15769;
        float r15771 = sqrt(r15770);
        return r15771;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15772 = 2.0;
        double r15773 = n;
        double r15774 = r15772 * r15773;
        double r15775 = U;
        double r15776 = t;
        double r15777 = l;
        double r15778 = Om;
        double r15779 = r15778 / r15777;
        double r15780 = r15777 / r15779;
        double r15781 = r15772 * r15780;
        double r15782 = r15776 - r15781;
        double r15783 = r15777 / r15778;
        double r15784 = r15783 * r15783;
        double r15785 = r15773 * r15784;
        double r15786 = cbrt(r15785);
        double r15787 = U_;
        double r15788 = r15775 - r15787;
        double r15789 = cbrt(r15788);
        double r15790 = r15786 * r15789;
        double r15791 = r15790 * (r15790 * r15790);
        double r15792 = r15782 - r15791;
        double r15793 = r15775 * r15792;
        double r15794 = r15774 * r15793;
        double r15795 = sqrt(r15794);
        return r15795;
}

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 r15796, r15797, r15798, r15799, r15800, r15801, r15802, r15803, r15804, r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15796, "2", 10, MPFR_RNDN);
        mpfr_init(r15797);
        mpfr_init(r15798);
        mpfr_init(r15799);
        mpfr_init(r15800);
        mpfr_init(r15801);
        mpfr_init(r15802);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15797, n, MPFR_RNDN);
        mpfr_mul(r15798, r15796, r15797, MPFR_RNDN);
        mpfr_set_d(r15799, U, MPFR_RNDN);
        mpfr_mul(r15800, r15798, r15799, MPFR_RNDN);
        mpfr_set_d(r15801, t, MPFR_RNDN);
        mpfr_set_d(r15802, l, MPFR_RNDN);
        mpfr_sqr(r15803, r15802, MPFR_RNDN);
        mpfr_set_d(r15804, Om, MPFR_RNDN);
        mpfr_div(r15805, r15803, r15804, MPFR_RNDN);
        mpfr_mul(r15806, r15796, r15805, MPFR_RNDN);
        mpfr_sub(r15807, r15801, r15806, MPFR_RNDN);
        mpfr_div(r15808, r15802, r15804, MPFR_RNDN);
        mpfr_sqr(r15809, r15808, MPFR_RNDN);
        mpfr_mul(r15810, r15797, r15809, MPFR_RNDN);
        mpfr_set_d(r15811, U_, MPFR_RNDN);
        mpfr_sub(r15812, r15799, r15811, MPFR_RNDN);
        mpfr_mul(r15813, r15810, r15812, MPFR_RNDN);
        mpfr_sub(r15814, r15807, r15813, MPFR_RNDN);
        mpfr_mul(r15815, r15800, r15814, MPFR_RNDN);
        mpfr_sqrt(r15816, r15815, MPFR_RNDN);
        return mpfr_get_d(r15816, MPFR_RNDN);
}

static mpfr_t r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15817, "2", 10, MPFR_RNDN);
        mpfr_init(r15818);
        mpfr_init(r15819);
        mpfr_init(r15820);
        mpfr_init(r15821);
        mpfr_init(r15822);
        mpfr_init(r15823);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15818, n, MPFR_RNDN);
        mpfr_mul(r15819, r15817, r15818, MPFR_RNDN);
        mpfr_set_d(r15820, U, MPFR_RNDN);
        mpfr_set_d(r15821, t, MPFR_RNDN);
        mpfr_set_d(r15822, l, MPFR_RNDN);
        mpfr_set_d(r15823, Om, MPFR_RNDN);
        mpfr_div(r15824, r15823, r15822, MPFR_RNDN);
        mpfr_div(r15825, r15822, r15824, MPFR_RNDN);
        mpfr_mul(r15826, r15817, r15825, MPFR_RNDN);
        mpfr_sub(r15827, r15821, r15826, MPFR_RNDN);
        mpfr_div(r15828, r15822, r15823, MPFR_RNDN);
        mpfr_sqr(r15829, r15828, MPFR_RNDN);
        mpfr_mul(r15830, r15818, r15829, MPFR_RNDN);
        mpfr_cbrt(r15831, r15830, MPFR_RNDN);
        mpfr_set_d(r15832, U_, MPFR_RNDN);
        mpfr_sub(r15833, r15820, r15832, MPFR_RNDN);
        mpfr_cbrt(r15834, r15833, MPFR_RNDN);
        mpfr_mul(r15835, r15831, r15834, MPFR_RNDN);
        mpfr_mul(r15836, r15835, r15835, MPFR_RNDN); mpfr_mul(r15836, r15836, r15835, MPFR_RNDN);
        mpfr_sub(r15837, r15827, r15836, MPFR_RNDN);
        mpfr_mul(r15838, r15820, r15837, MPFR_RNDN);
        mpfr_mul(r15839, r15819, r15838, MPFR_RNDN);
        mpfr_sqrt(r15840, r15839, MPFR_RNDN);
        return mpfr_get_d(r15840, MPFR_RNDN);
}

static mpfr_t r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15841, "2", 10, MPFR_RNDN);
        mpfr_init(r15842);
        mpfr_init(r15843);
        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(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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15842, n, MPFR_RNDN);
        mpfr_mul(r15843, r15841, r15842, MPFR_RNDN);
        mpfr_set_d(r15844, U, MPFR_RNDN);
        mpfr_set_d(r15845, t, MPFR_RNDN);
        mpfr_set_d(r15846, l, MPFR_RNDN);
        mpfr_set_d(r15847, Om, MPFR_RNDN);
        mpfr_div(r15848, r15847, r15846, MPFR_RNDN);
        mpfr_div(r15849, r15846, r15848, MPFR_RNDN);
        mpfr_mul(r15850, r15841, r15849, MPFR_RNDN);
        mpfr_sub(r15851, r15845, r15850, MPFR_RNDN);
        mpfr_div(r15852, r15846, r15847, MPFR_RNDN);
        mpfr_sqr(r15853, r15852, MPFR_RNDN);
        mpfr_mul(r15854, r15842, r15853, MPFR_RNDN);
        mpfr_cbrt(r15855, r15854, MPFR_RNDN);
        mpfr_set_d(r15856, U_, MPFR_RNDN);
        mpfr_sub(r15857, r15844, r15856, MPFR_RNDN);
        mpfr_cbrt(r15858, r15857, MPFR_RNDN);
        mpfr_mul(r15859, r15855, r15858, MPFR_RNDN);
        mpfr_mul(r15860, r15859, r15859, MPFR_RNDN); mpfr_mul(r15860, r15860, r15859, MPFR_RNDN);
        mpfr_sub(r15861, r15851, r15860, MPFR_RNDN);
        mpfr_mul(r15862, r15844, r15861, MPFR_RNDN);
        mpfr_mul(r15863, r15843, r15862, MPFR_RNDN);
        mpfr_sqrt(r15864, r15863, MPFR_RNDN);
        return mpfr_get_d(r15864, MPFR_RNDN);
}

