#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 r15718 = 2.0f;
        float r15719 = n;
        float r15720 = r15718 * r15719;
        float r15721 = U;
        float r15722 = r15720 * r15721;
        float r15723 = t;
        float r15724 = l;
        float r15725 = r15724 * r15724;
        float r15726 = Om;
        float r15727 = r15725 / r15726;
        float r15728 = r15718 * r15727;
        float r15729 = r15723 - r15728;
        float r15730 = r15724 / r15726;
        float r15731 = r15730 * r15730;
        float r15732 = r15719 * r15731;
        float r15733 = U_;
        float r15734 = r15721 - r15733;
        float r15735 = r15732 * r15734;
        float r15736 = r15729 - r15735;
        float r15737 = r15722 * r15736;
        float r15738 = sqrt(r15737);
        return r15738;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15739 = 2.0;
        double r15740 = n;
        double r15741 = r15739 * r15740;
        double r15742 = U;
        double r15743 = r15741 * r15742;
        double r15744 = t;
        double r15745 = l;
        double r15746 = r15745 * r15745;
        double r15747 = Om;
        double r15748 = r15746 / r15747;
        double r15749 = r15739 * r15748;
        double r15750 = r15744 - r15749;
        double r15751 = r15745 / r15747;
        double r15752 = r15751 * r15751;
        double r15753 = r15740 * r15752;
        double r15754 = U_;
        double r15755 = r15742 - r15754;
        double r15756 = r15753 * r15755;
        double r15757 = r15750 - r15756;
        double r15758 = r15743 * r15757;
        double r15759 = sqrt(r15758);
        return r15759;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15760 = 2.0f;
        float r15761 = n;
        float r15762 = r15760 * r15761;
        float r15763 = U;
        float r15764 = t;
        float r15765 = l;
        float r15766 = Om;
        float r15767 = r15766 / r15765;
        float r15768 = r15765 / r15767;
        float r15769 = r15760 * r15768;
        float r15770 = r15764 - r15769;
        float r15771 = r15765 / r15766;
        float r15772 = r15771 * r15771;
        float r15773 = r15761 * r15772;
        float r15774 = 1.0f;
        float r15775 = pow(r15773, r15774);
        float r15776 = U_;
        float r15777 = r15763 - r15776;
        float r15778 = r15775 * r15777;
        float r15779 = r15770 - r15778;
        float r15780 = r15763 * r15779;
        float r15781 = r15762 * r15780;
        float r15782 = sqrt(r15781);
        return r15782;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15783 = 2.0;
        double r15784 = n;
        double r15785 = r15783 * r15784;
        double r15786 = U;
        double r15787 = t;
        double r15788 = l;
        double r15789 = Om;
        double r15790 = r15789 / r15788;
        double r15791 = r15788 / r15790;
        double r15792 = r15783 * r15791;
        double r15793 = r15787 - r15792;
        double r15794 = r15788 / r15789;
        double r15795 = r15794 * r15794;
        double r15796 = r15784 * r15795;
        double r15797 = 1.0;
        double r15798 = pow(r15796, r15797);
        double r15799 = U_;
        double r15800 = r15786 - r15799;
        double r15801 = r15798 * r15800;
        double r15802 = r15793 - r15801;
        double r15803 = r15786 * r15802;
        double r15804 = r15785 * r15803;
        double r15805 = sqrt(r15804);
        return r15805;
}

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 r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15806, "2", 10, MPFR_RNDN);
        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(r15825);
        mpfr_init(r15826);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15807, n, MPFR_RNDN);
        mpfr_mul(r15808, r15806, r15807, MPFR_RNDN);
        mpfr_set_d(r15809, U, MPFR_RNDN);
        mpfr_mul(r15810, r15808, r15809, MPFR_RNDN);
        mpfr_set_d(r15811, t, MPFR_RNDN);
        mpfr_set_d(r15812, l, MPFR_RNDN);
        mpfr_sqr(r15813, r15812, MPFR_RNDN);
        mpfr_set_d(r15814, Om, MPFR_RNDN);
        mpfr_div(r15815, r15813, r15814, MPFR_RNDN);
        mpfr_mul(r15816, r15806, r15815, MPFR_RNDN);
        mpfr_sub(r15817, r15811, r15816, MPFR_RNDN);
        mpfr_div(r15818, r15812, r15814, MPFR_RNDN);
        mpfr_sqr(r15819, r15818, MPFR_RNDN);
        mpfr_mul(r15820, r15807, r15819, MPFR_RNDN);
        mpfr_set_d(r15821, U_, MPFR_RNDN);
        mpfr_sub(r15822, r15809, r15821, MPFR_RNDN);
        mpfr_mul(r15823, r15820, r15822, MPFR_RNDN);
        mpfr_sub(r15824, r15817, r15823, MPFR_RNDN);
        mpfr_mul(r15825, r15810, r15824, MPFR_RNDN);
        mpfr_sqrt(r15826, r15825, MPFR_RNDN);
        return mpfr_get_d(r15826, MPFR_RNDN);
}

static mpfr_t r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15827, "2", 10, MPFR_RNDN);
        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_set_str(r15841, "1", 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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15828, n, MPFR_RNDN);
        mpfr_mul(r15829, r15827, r15828, MPFR_RNDN);
        mpfr_set_d(r15830, U, MPFR_RNDN);
        mpfr_set_d(r15831, t, MPFR_RNDN);
        mpfr_set_d(r15832, l, MPFR_RNDN);
        mpfr_set_d(r15833, Om, MPFR_RNDN);
        mpfr_div(r15834, r15833, r15832, MPFR_RNDN);
        mpfr_div(r15835, r15832, r15834, MPFR_RNDN);
        mpfr_mul(r15836, r15827, r15835, MPFR_RNDN);
        mpfr_sub(r15837, r15831, r15836, MPFR_RNDN);
        mpfr_div(r15838, r15832, r15833, MPFR_RNDN);
        mpfr_sqr(r15839, r15838, MPFR_RNDN);
        mpfr_mul(r15840, r15828, r15839, MPFR_RNDN);
        ;
        mpfr_pow(r15842, r15840, r15841, MPFR_RNDN);
        mpfr_set_d(r15843, U_, MPFR_RNDN);
        mpfr_sub(r15844, r15830, r15843, MPFR_RNDN);
        mpfr_mul(r15845, r15842, r15844, MPFR_RNDN);
        mpfr_sub(r15846, r15837, r15845, MPFR_RNDN);
        mpfr_mul(r15847, r15830, r15846, MPFR_RNDN);
        mpfr_mul(r15848, r15829, r15847, MPFR_RNDN);
        mpfr_sqrt(r15849, r15848, MPFR_RNDN);
        return mpfr_get_d(r15849, MPFR_RNDN);
}

static mpfr_t r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15850, "2", 10, MPFR_RNDN);
        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_set_str(r15864, "1", 10, MPFR_RNDN);
        mpfr_init(r15865);
        mpfr_init(r15866);
        mpfr_init(r15867);
        mpfr_init(r15868);
        mpfr_init(r15869);
        mpfr_init(r15870);
        mpfr_init(r15871);
        mpfr_init(r15872);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15851, n, MPFR_RNDN);
        mpfr_mul(r15852, r15850, r15851, MPFR_RNDN);
        mpfr_set_d(r15853, U, MPFR_RNDN);
        mpfr_set_d(r15854, t, MPFR_RNDN);
        mpfr_set_d(r15855, l, MPFR_RNDN);
        mpfr_set_d(r15856, Om, MPFR_RNDN);
        mpfr_div(r15857, r15856, r15855, MPFR_RNDN);
        mpfr_div(r15858, r15855, r15857, MPFR_RNDN);
        mpfr_mul(r15859, r15850, r15858, MPFR_RNDN);
        mpfr_sub(r15860, r15854, r15859, MPFR_RNDN);
        mpfr_div(r15861, r15855, r15856, MPFR_RNDN);
        mpfr_sqr(r15862, r15861, MPFR_RNDN);
        mpfr_mul(r15863, r15851, r15862, MPFR_RNDN);
        ;
        mpfr_pow(r15865, r15863, r15864, MPFR_RNDN);
        mpfr_set_d(r15866, U_, MPFR_RNDN);
        mpfr_sub(r15867, r15853, r15866, MPFR_RNDN);
        mpfr_mul(r15868, r15865, r15867, MPFR_RNDN);
        mpfr_sub(r15869, r15860, r15868, MPFR_RNDN);
        mpfr_mul(r15870, r15853, r15869, MPFR_RNDN);
        mpfr_mul(r15871, r15852, r15870, MPFR_RNDN);
        mpfr_sqrt(r15872, r15871, MPFR_RNDN);
        return mpfr_get_d(r15872, MPFR_RNDN);
}

