#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 r15710 = 2.0f;
        float r15711 = n;
        float r15712 = r15710 * r15711;
        float r15713 = U;
        float r15714 = r15712 * r15713;
        float r15715 = t;
        float r15716 = l;
        float r15717 = r15716 * r15716;
        float r15718 = Om;
        float r15719 = r15717 / r15718;
        float r15720 = r15710 * r15719;
        float r15721 = r15715 - r15720;
        float r15722 = r15716 / r15718;
        float r15723 = r15722 * r15722;
        float r15724 = r15711 * r15723;
        float r15725 = U_;
        float r15726 = r15713 - r15725;
        float r15727 = r15724 * r15726;
        float r15728 = r15721 - r15727;
        float r15729 = r15714 * r15728;
        float r15730 = sqrt(r15729);
        return r15730;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15731 = 2.0;
        double r15732 = n;
        double r15733 = r15731 * r15732;
        double r15734 = U;
        double r15735 = r15733 * r15734;
        double r15736 = t;
        double r15737 = l;
        double r15738 = r15737 * r15737;
        double r15739 = Om;
        double r15740 = r15738 / r15739;
        double r15741 = r15731 * r15740;
        double r15742 = r15736 - r15741;
        double r15743 = r15737 / r15739;
        double r15744 = r15743 * r15743;
        double r15745 = r15732 * r15744;
        double r15746 = U_;
        double r15747 = r15734 - r15746;
        double r15748 = r15745 * r15747;
        double r15749 = r15742 - r15748;
        double r15750 = r15735 * r15749;
        double r15751 = sqrt(r15750);
        return r15751;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15752 = 2.0f;
        float r15753 = n;
        float r15754 = r15752 * r15753;
        float r15755 = U;
        float r15756 = t;
        float r15757 = l;
        float r15758 = Om;
        float r15759 = r15758 / r15757;
        float r15760 = r15757 / r15759;
        float r15761 = r15752 * r15760;
        float r15762 = r15756 - r15761;
        float r15763 = r15757 / r15758;
        float r15764 = r15763 * r15763;
        float r15765 = r15753 * r15764;
        float r15766 = 1.0f;
        float r15767 = pow(r15765, r15766);
        float r15768 = U_;
        float r15769 = r15755 - r15768;
        float r15770 = r15767 * r15769;
        float r15771 = r15762 - r15770;
        float r15772 = r15755 * r15771;
        float r15773 = r15754 * r15772;
        float r15774 = sqrt(r15773);
        return r15774;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15775 = 2.0;
        double r15776 = n;
        double r15777 = r15775 * r15776;
        double r15778 = U;
        double r15779 = t;
        double r15780 = l;
        double r15781 = Om;
        double r15782 = r15781 / r15780;
        double r15783 = r15780 / r15782;
        double r15784 = r15775 * r15783;
        double r15785 = r15779 - r15784;
        double r15786 = r15780 / r15781;
        double r15787 = r15786 * r15786;
        double r15788 = r15776 * r15787;
        double r15789 = 1.0;
        double r15790 = pow(r15788, r15789);
        double r15791 = U_;
        double r15792 = r15778 - r15791;
        double r15793 = r15790 * r15792;
        double r15794 = r15785 - r15793;
        double r15795 = r15778 * r15794;
        double r15796 = r15777 * r15795;
        double r15797 = sqrt(r15796);
        return r15797;
}

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 r15798, r15799, r15800, r15801, r15802, r15803, r15804, r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15798, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15817);
        mpfr_init(r15818);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15799, n, MPFR_RNDN);
        mpfr_mul(r15800, r15798, r15799, MPFR_RNDN);
        mpfr_set_d(r15801, U, MPFR_RNDN);
        mpfr_mul(r15802, r15800, r15801, MPFR_RNDN);
        mpfr_set_d(r15803, t, MPFR_RNDN);
        mpfr_set_d(r15804, l, MPFR_RNDN);
        mpfr_sqr(r15805, r15804, MPFR_RNDN);
        mpfr_set_d(r15806, Om, MPFR_RNDN);
        mpfr_div(r15807, r15805, r15806, MPFR_RNDN);
        mpfr_mul(r15808, r15798, r15807, MPFR_RNDN);
        mpfr_sub(r15809, r15803, r15808, MPFR_RNDN);
        mpfr_div(r15810, r15804, r15806, MPFR_RNDN);
        mpfr_sqr(r15811, r15810, MPFR_RNDN);
        mpfr_mul(r15812, r15799, r15811, MPFR_RNDN);
        mpfr_set_d(r15813, U_, MPFR_RNDN);
        mpfr_sub(r15814, r15801, r15813, MPFR_RNDN);
        mpfr_mul(r15815, r15812, r15814, MPFR_RNDN);
        mpfr_sub(r15816, r15809, r15815, MPFR_RNDN);
        mpfr_mul(r15817, r15802, r15816, MPFR_RNDN);
        mpfr_sqrt(r15818, r15817, MPFR_RNDN);
        return mpfr_get_d(r15818, MPFR_RNDN);
}

static mpfr_t r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15819, "2", 10, MPFR_RNDN);
        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_set_str(r15833, "1", 10, MPFR_RNDN);
        mpfr_init(r15834);
        mpfr_init(r15835);
        mpfr_init(r15836);
        mpfr_init(r15837);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15820, n, MPFR_RNDN);
        mpfr_mul(r15821, r15819, r15820, MPFR_RNDN);
        mpfr_set_d(r15822, U, MPFR_RNDN);
        mpfr_set_d(r15823, t, MPFR_RNDN);
        mpfr_set_d(r15824, l, MPFR_RNDN);
        mpfr_set_d(r15825, Om, MPFR_RNDN);
        mpfr_div(r15826, r15825, r15824, MPFR_RNDN);
        mpfr_div(r15827, r15824, r15826, MPFR_RNDN);
        mpfr_mul(r15828, r15819, r15827, MPFR_RNDN);
        mpfr_sub(r15829, r15823, r15828, MPFR_RNDN);
        mpfr_div(r15830, r15824, r15825, MPFR_RNDN);
        mpfr_sqr(r15831, r15830, MPFR_RNDN);
        mpfr_mul(r15832, r15820, r15831, MPFR_RNDN);
        ;
        mpfr_pow(r15834, r15832, r15833, MPFR_RNDN);
        mpfr_set_d(r15835, U_, MPFR_RNDN);
        mpfr_sub(r15836, r15822, r15835, MPFR_RNDN);
        mpfr_mul(r15837, r15834, r15836, MPFR_RNDN);
        mpfr_sub(r15838, r15829, r15837, MPFR_RNDN);
        mpfr_mul(r15839, r15822, r15838, MPFR_RNDN);
        mpfr_mul(r15840, r15821, r15839, MPFR_RNDN);
        mpfr_sqrt(r15841, r15840, MPFR_RNDN);
        return mpfr_get_d(r15841, MPFR_RNDN);
}

static mpfr_t 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(r15842, "2", 10, MPFR_RNDN);
        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_set_str(r15856, "1", 10, MPFR_RNDN);
        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(r15843, n, MPFR_RNDN);
        mpfr_mul(r15844, r15842, r15843, MPFR_RNDN);
        mpfr_set_d(r15845, U, MPFR_RNDN);
        mpfr_set_d(r15846, t, MPFR_RNDN);
        mpfr_set_d(r15847, l, MPFR_RNDN);
        mpfr_set_d(r15848, Om, MPFR_RNDN);
        mpfr_div(r15849, r15848, r15847, MPFR_RNDN);
        mpfr_div(r15850, r15847, r15849, MPFR_RNDN);
        mpfr_mul(r15851, r15842, r15850, MPFR_RNDN);
        mpfr_sub(r15852, r15846, r15851, MPFR_RNDN);
        mpfr_div(r15853, r15847, r15848, MPFR_RNDN);
        mpfr_sqr(r15854, r15853, MPFR_RNDN);
        mpfr_mul(r15855, r15843, r15854, MPFR_RNDN);
        ;
        mpfr_pow(r15857, r15855, r15856, MPFR_RNDN);
        mpfr_set_d(r15858, U_, MPFR_RNDN);
        mpfr_sub(r15859, r15845, r15858, MPFR_RNDN);
        mpfr_mul(r15860, r15857, r15859, MPFR_RNDN);
        mpfr_sub(r15861, r15852, r15860, MPFR_RNDN);
        mpfr_mul(r15862, r15845, r15861, MPFR_RNDN);
        mpfr_mul(r15863, r15844, r15862, MPFR_RNDN);
        mpfr_sqrt(r15864, r15863, MPFR_RNDN);
        return mpfr_get_d(r15864, MPFR_RNDN);
}

