#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 r15714 = 2.0f;
        float r15715 = n;
        float r15716 = r15714 * r15715;
        float r15717 = U;
        float r15718 = r15716 * r15717;
        float r15719 = t;
        float r15720 = l;
        float r15721 = r15720 * r15720;
        float r15722 = Om;
        float r15723 = r15721 / r15722;
        float r15724 = r15714 * r15723;
        float r15725 = r15719 - r15724;
        float r15726 = r15720 / r15722;
        float r15727 = r15726 * r15726;
        float r15728 = r15715 * r15727;
        float r15729 = U_;
        float r15730 = r15717 - r15729;
        float r15731 = r15728 * r15730;
        float r15732 = r15725 - r15731;
        float r15733 = r15718 * r15732;
        float r15734 = sqrt(r15733);
        return r15734;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15735 = 2.0;
        double r15736 = n;
        double r15737 = r15735 * r15736;
        double r15738 = U;
        double r15739 = r15737 * r15738;
        double r15740 = t;
        double r15741 = l;
        double r15742 = r15741 * r15741;
        double r15743 = Om;
        double r15744 = r15742 / r15743;
        double r15745 = r15735 * r15744;
        double r15746 = r15740 - r15745;
        double r15747 = r15741 / r15743;
        double r15748 = r15747 * r15747;
        double r15749 = r15736 * r15748;
        double r15750 = U_;
        double r15751 = r15738 - r15750;
        double r15752 = r15749 * r15751;
        double r15753 = r15746 - r15752;
        double r15754 = r15739 * r15753;
        double r15755 = sqrt(r15754);
        return r15755;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15756 = 2.0f;
        float r15757 = n;
        float r15758 = r15756 * r15757;
        float r15759 = U;
        float r15760 = t;
        float r15761 = l;
        float r15762 = Om;
        float r15763 = r15762 / r15761;
        float r15764 = r15761 / r15763;
        float r15765 = r15756 * r15764;
        float r15766 = r15760 - r15765;
        float r15767 = r15761 / r15762;
        float r15768 = r15767 * r15767;
        float r15769 = r15757 * r15768;
        float r15770 = 1.0f;
        float r15771 = pow(r15769, r15770);
        float r15772 = U_;
        float r15773 = r15759 - r15772;
        float r15774 = r15771 * r15773;
        float r15775 = r15766 - r15774;
        float r15776 = r15759 * r15775;
        float r15777 = r15758 * r15776;
        float r15778 = sqrt(r15777);
        return r15778;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15779 = 2.0;
        double r15780 = n;
        double r15781 = r15779 * r15780;
        double r15782 = U;
        double r15783 = t;
        double r15784 = l;
        double r15785 = Om;
        double r15786 = r15785 / r15784;
        double r15787 = r15784 / r15786;
        double r15788 = r15779 * r15787;
        double r15789 = r15783 - r15788;
        double r15790 = r15784 / r15785;
        double r15791 = r15790 * r15790;
        double r15792 = r15780 * r15791;
        double r15793 = 1.0;
        double r15794 = pow(r15792, r15793);
        double r15795 = U_;
        double r15796 = r15782 - r15795;
        double r15797 = r15794 * r15796;
        double r15798 = r15789 - r15797;
        double r15799 = r15782 * r15798;
        double r15800 = r15781 * r15799;
        double r15801 = sqrt(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;

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_set_str(r15837, "1", 10, MPFR_RNDN);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init(r15844);
        mpfr_init(r15845);
}

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_set_d(r15827, t, MPFR_RNDN);
        mpfr_set_d(r15828, l, MPFR_RNDN);
        mpfr_set_d(r15829, Om, MPFR_RNDN);
        mpfr_div(r15830, r15829, r15828, MPFR_RNDN);
        mpfr_div(r15831, r15828, r15830, MPFR_RNDN);
        mpfr_mul(r15832, r15823, r15831, MPFR_RNDN);
        mpfr_sub(r15833, r15827, r15832, MPFR_RNDN);
        mpfr_div(r15834, r15828, r15829, MPFR_RNDN);
        mpfr_sqr(r15835, r15834, MPFR_RNDN);
        mpfr_mul(r15836, r15824, r15835, MPFR_RNDN);
        ;
        mpfr_pow(r15838, r15836, r15837, MPFR_RNDN);
        mpfr_set_d(r15839, U_, MPFR_RNDN);
        mpfr_sub(r15840, r15826, r15839, MPFR_RNDN);
        mpfr_mul(r15841, r15838, r15840, MPFR_RNDN);
        mpfr_sub(r15842, r15833, r15841, MPFR_RNDN);
        mpfr_mul(r15843, r15826, r15842, MPFR_RNDN);
        mpfr_mul(r15844, r15825, r15843, MPFR_RNDN);
        mpfr_sqrt(r15845, r15844, MPFR_RNDN);
        return mpfr_get_d(r15845, MPFR_RNDN);
}

static mpfr_t r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15846, "2", 10, MPFR_RNDN);
        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_set_str(r15860, "1", 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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15847, n, MPFR_RNDN);
        mpfr_mul(r15848, r15846, r15847, MPFR_RNDN);
        mpfr_set_d(r15849, U, MPFR_RNDN);
        mpfr_set_d(r15850, t, MPFR_RNDN);
        mpfr_set_d(r15851, l, MPFR_RNDN);
        mpfr_set_d(r15852, Om, MPFR_RNDN);
        mpfr_div(r15853, r15852, r15851, MPFR_RNDN);
        mpfr_div(r15854, r15851, r15853, MPFR_RNDN);
        mpfr_mul(r15855, r15846, r15854, MPFR_RNDN);
        mpfr_sub(r15856, r15850, r15855, MPFR_RNDN);
        mpfr_div(r15857, r15851, r15852, MPFR_RNDN);
        mpfr_sqr(r15858, r15857, MPFR_RNDN);
        mpfr_mul(r15859, r15847, r15858, MPFR_RNDN);
        ;
        mpfr_pow(r15861, r15859, r15860, MPFR_RNDN);
        mpfr_set_d(r15862, U_, MPFR_RNDN);
        mpfr_sub(r15863, r15849, r15862, MPFR_RNDN);
        mpfr_mul(r15864, r15861, r15863, MPFR_RNDN);
        mpfr_sub(r15865, r15856, r15864, MPFR_RNDN);
        mpfr_mul(r15866, r15849, r15865, MPFR_RNDN);
        mpfr_mul(r15867, r15848, r15866, MPFR_RNDN);
        mpfr_sqrt(r15868, r15867, MPFR_RNDN);
        return mpfr_get_d(r15868, MPFR_RNDN);
}

