#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 r15726 = 2.0f;
        float r15727 = n;
        float r15728 = r15726 * r15727;
        float r15729 = U;
        float r15730 = r15728 * r15729;
        float r15731 = t;
        float r15732 = l;
        float r15733 = r15732 * r15732;
        float r15734 = Om;
        float r15735 = r15733 / r15734;
        float r15736 = r15726 * r15735;
        float r15737 = r15731 - r15736;
        float r15738 = r15732 / r15734;
        float r15739 = r15738 * r15738;
        float r15740 = r15727 * r15739;
        float r15741 = U_;
        float r15742 = r15729 - r15741;
        float r15743 = r15740 * r15742;
        float r15744 = r15737 - r15743;
        float r15745 = r15730 * r15744;
        float r15746 = sqrt(r15745);
        return r15746;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15747 = 2.0;
        double r15748 = n;
        double r15749 = r15747 * r15748;
        double r15750 = U;
        double r15751 = r15749 * r15750;
        double r15752 = t;
        double r15753 = l;
        double r15754 = r15753 * r15753;
        double r15755 = Om;
        double r15756 = r15754 / r15755;
        double r15757 = r15747 * r15756;
        double r15758 = r15752 - r15757;
        double r15759 = r15753 / r15755;
        double r15760 = r15759 * r15759;
        double r15761 = r15748 * r15760;
        double r15762 = U_;
        double r15763 = r15750 - r15762;
        double r15764 = r15761 * r15763;
        double r15765 = r15758 - r15764;
        double r15766 = r15751 * r15765;
        double r15767 = sqrt(r15766);
        return r15767;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15768 = 2.0f;
        float r15769 = n;
        float r15770 = r15768 * r15769;
        float r15771 = U;
        float r15772 = r15770 * r15771;
        float r15773 = t;
        float r15774 = l;
        float r15775 = Om;
        float r15776 = r15775 / r15774;
        float r15777 = r15774 / r15776;
        float r15778 = r15768 * r15777;
        float r15779 = r15773 - r15778;
        float r15780 = r15774 / r15775;
        float r15781 = r15780 * r15780;
        float r15782 = r15769 * r15781;
        float r15783 = U_;
        float r15784 = r15771 - r15783;
        float r15785 = r15782 * r15784;
        float r15786 = r15779 - r15785;
        float r15787 = r15772 * r15786;
        float r15788 = sqrt(r15787);
        return r15788;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15789 = 2.0;
        double r15790 = n;
        double r15791 = r15789 * r15790;
        double r15792 = U;
        double r15793 = r15791 * r15792;
        double r15794 = t;
        double r15795 = l;
        double r15796 = Om;
        double r15797 = r15796 / r15795;
        double r15798 = r15795 / r15797;
        double r15799 = r15789 * r15798;
        double r15800 = r15794 - r15799;
        double r15801 = r15795 / r15796;
        double r15802 = r15801 * r15801;
        double r15803 = r15790 * r15802;
        double r15804 = U_;
        double r15805 = r15792 - r15804;
        double r15806 = r15803 * r15805;
        double r15807 = r15800 - r15806;
        double r15808 = r15793 * r15807;
        double r15809 = sqrt(r15808);
        return r15809;
}

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 r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15810, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15827);
        mpfr_init(r15828);
        mpfr_init(r15829);
        mpfr_init(r15830);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15811, n, MPFR_RNDN);
        mpfr_mul(r15812, r15810, r15811, MPFR_RNDN);
        mpfr_set_d(r15813, U, MPFR_RNDN);
        mpfr_mul(r15814, r15812, r15813, MPFR_RNDN);
        mpfr_set_d(r15815, t, MPFR_RNDN);
        mpfr_set_d(r15816, l, MPFR_RNDN);
        mpfr_sqr(r15817, r15816, MPFR_RNDN);
        mpfr_set_d(r15818, Om, MPFR_RNDN);
        mpfr_div(r15819, r15817, r15818, MPFR_RNDN);
        mpfr_mul(r15820, r15810, r15819, MPFR_RNDN);
        mpfr_sub(r15821, r15815, r15820, MPFR_RNDN);
        mpfr_div(r15822, r15816, r15818, MPFR_RNDN);
        mpfr_sqr(r15823, r15822, MPFR_RNDN);
        mpfr_mul(r15824, r15811, r15823, MPFR_RNDN);
        mpfr_set_d(r15825, U_, MPFR_RNDN);
        mpfr_sub(r15826, r15813, r15825, MPFR_RNDN);
        mpfr_mul(r15827, r15824, r15826, MPFR_RNDN);
        mpfr_sub(r15828, r15821, r15827, MPFR_RNDN);
        mpfr_mul(r15829, r15814, r15828, MPFR_RNDN);
        mpfr_sqrt(r15830, r15829, MPFR_RNDN);
        return mpfr_get_d(r15830, MPFR_RNDN);
}

static mpfr_t r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15831, "2", 10, MPFR_RNDN);
        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(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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15832, n, MPFR_RNDN);
        mpfr_mul(r15833, r15831, r15832, MPFR_RNDN);
        mpfr_set_d(r15834, U, MPFR_RNDN);
        mpfr_mul(r15835, r15833, r15834, MPFR_RNDN);
        mpfr_set_d(r15836, t, MPFR_RNDN);
        mpfr_set_d(r15837, l, MPFR_RNDN);
        mpfr_set_d(r15838, Om, MPFR_RNDN);
        mpfr_div(r15839, r15838, r15837, MPFR_RNDN);
        mpfr_div(r15840, r15837, r15839, MPFR_RNDN);
        mpfr_mul(r15841, r15831, r15840, MPFR_RNDN);
        mpfr_sub(r15842, r15836, r15841, MPFR_RNDN);
        mpfr_div(r15843, r15837, r15838, MPFR_RNDN);
        mpfr_sqr(r15844, r15843, MPFR_RNDN);
        mpfr_mul(r15845, r15832, r15844, MPFR_RNDN);
        mpfr_set_d(r15846, U_, MPFR_RNDN);
        mpfr_sub(r15847, r15834, r15846, MPFR_RNDN);
        mpfr_mul(r15848, r15845, r15847, MPFR_RNDN);
        mpfr_sub(r15849, r15842, r15848, MPFR_RNDN);
        mpfr_mul(r15850, r15835, r15849, MPFR_RNDN);
        mpfr_sqrt(r15851, r15850, MPFR_RNDN);
        return mpfr_get_d(r15851, MPFR_RNDN);
}

static mpfr_t 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(r15852, "2", 10, MPFR_RNDN);
        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);
        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(r15853, n, MPFR_RNDN);
        mpfr_mul(r15854, r15852, r15853, MPFR_RNDN);
        mpfr_set_d(r15855, U, MPFR_RNDN);
        mpfr_mul(r15856, r15854, r15855, MPFR_RNDN);
        mpfr_set_d(r15857, t, MPFR_RNDN);
        mpfr_set_d(r15858, l, MPFR_RNDN);
        mpfr_set_d(r15859, Om, MPFR_RNDN);
        mpfr_div(r15860, r15859, r15858, MPFR_RNDN);
        mpfr_div(r15861, r15858, r15860, MPFR_RNDN);
        mpfr_mul(r15862, r15852, r15861, MPFR_RNDN);
        mpfr_sub(r15863, r15857, r15862, MPFR_RNDN);
        mpfr_div(r15864, r15858, r15859, MPFR_RNDN);
        mpfr_sqr(r15865, r15864, MPFR_RNDN);
        mpfr_mul(r15866, r15853, r15865, MPFR_RNDN);
        mpfr_set_d(r15867, U_, MPFR_RNDN);
        mpfr_sub(r15868, r15855, r15867, MPFR_RNDN);
        mpfr_mul(r15869, r15866, r15868, MPFR_RNDN);
        mpfr_sub(r15870, r15863, r15869, MPFR_RNDN);
        mpfr_mul(r15871, r15856, r15870, MPFR_RNDN);
        mpfr_sqrt(r15872, r15871, MPFR_RNDN);
        return mpfr_get_d(r15872, MPFR_RNDN);
}

