#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 r15734 = 2.0f;
        float r15735 = n;
        float r15736 = r15734 * r15735;
        float r15737 = U;
        float r15738 = r15736 * r15737;
        float r15739 = t;
        float r15740 = l;
        float r15741 = r15740 * r15740;
        float r15742 = Om;
        float r15743 = r15741 / r15742;
        float r15744 = r15734 * r15743;
        float r15745 = r15739 - r15744;
        float r15746 = r15740 / r15742;
        float r15747 = r15746 * r15746;
        float r15748 = r15735 * r15747;
        float r15749 = U_;
        float r15750 = r15737 - r15749;
        float r15751 = r15748 * r15750;
        float r15752 = r15745 - r15751;
        float r15753 = r15738 * r15752;
        float r15754 = sqrt(r15753);
        return r15754;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15755 = 2.0;
        double r15756 = n;
        double r15757 = r15755 * r15756;
        double r15758 = U;
        double r15759 = r15757 * r15758;
        double r15760 = t;
        double r15761 = l;
        double r15762 = r15761 * r15761;
        double r15763 = Om;
        double r15764 = r15762 / r15763;
        double r15765 = r15755 * r15764;
        double r15766 = r15760 - r15765;
        double r15767 = r15761 / r15763;
        double r15768 = r15767 * r15767;
        double r15769 = r15756 * r15768;
        double r15770 = U_;
        double r15771 = r15758 - r15770;
        double r15772 = r15769 * r15771;
        double r15773 = r15766 - r15772;
        double r15774 = r15759 * r15773;
        double r15775 = sqrt(r15774);
        return r15775;
}


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

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15797 = 2.0;
        double r15798 = n;
        double r15799 = r15797 * r15798;
        double r15800 = U;
        double r15801 = r15799 * r15800;
        double r15802 = t;
        double r15803 = l;
        double r15804 = Om;
        double r15805 = r15804 / r15803;
        double r15806 = r15803 / r15805;
        double r15807 = r15797 * r15806;
        double r15808 = r15802 - r15807;
        double r15809 = r15803 / r15804;
        double r15810 = r15809 * r15809;
        double r15811 = r15798 * r15810;
        double r15812 = U_;
        double r15813 = r15800 - r15812;
        double r15814 = r15811 * r15813;
        double r15815 = r15808 - r15814;
        double r15816 = r15801 * r15815;
        double r15817 = sqrt(r15816);
        return r15817;
}

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

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

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

static mpfr_t r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15839, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15840, n, MPFR_RNDN);
        mpfr_mul(r15841, r15839, r15840, MPFR_RNDN);
        mpfr_set_d(r15842, U, MPFR_RNDN);
        mpfr_mul(r15843, r15841, r15842, MPFR_RNDN);
        mpfr_set_d(r15844, t, MPFR_RNDN);
        mpfr_set_d(r15845, l, MPFR_RNDN);
        mpfr_set_d(r15846, Om, MPFR_RNDN);
        mpfr_div(r15847, r15846, r15845, MPFR_RNDN);
        mpfr_div(r15848, r15845, r15847, MPFR_RNDN);
        mpfr_mul(r15849, r15839, r15848, MPFR_RNDN);
        mpfr_sub(r15850, r15844, r15849, MPFR_RNDN);
        mpfr_div(r15851, r15845, r15846, MPFR_RNDN);
        mpfr_sqr(r15852, r15851, MPFR_RNDN);
        mpfr_mul(r15853, r15840, r15852, MPFR_RNDN);
        mpfr_set_d(r15854, U_, MPFR_RNDN);
        mpfr_sub(r15855, r15842, r15854, MPFR_RNDN);
        mpfr_mul(r15856, r15853, r15855, MPFR_RNDN);
        mpfr_sub(r15857, r15850, r15856, MPFR_RNDN);
        mpfr_mul(r15858, r15843, r15857, MPFR_RNDN);
        mpfr_sqrt(r15859, r15858, MPFR_RNDN);
        return mpfr_get_d(r15859, MPFR_RNDN);
}

static mpfr_t r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15860, "2", 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);
        mpfr_init(r15869);
        mpfr_init(r15870);
        mpfr_init(r15871);
        mpfr_init(r15872);
        mpfr_init(r15873);
        mpfr_init(r15874);
        mpfr_init(r15875);
        mpfr_init(r15876);
        mpfr_init(r15877);
        mpfr_init(r15878);
        mpfr_init(r15879);
        mpfr_init(r15880);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15861, n, MPFR_RNDN);
        mpfr_mul(r15862, r15860, r15861, MPFR_RNDN);
        mpfr_set_d(r15863, U, MPFR_RNDN);
        mpfr_mul(r15864, r15862, r15863, MPFR_RNDN);
        mpfr_set_d(r15865, t, MPFR_RNDN);
        mpfr_set_d(r15866, l, MPFR_RNDN);
        mpfr_set_d(r15867, Om, MPFR_RNDN);
        mpfr_div(r15868, r15867, r15866, MPFR_RNDN);
        mpfr_div(r15869, r15866, r15868, MPFR_RNDN);
        mpfr_mul(r15870, r15860, r15869, MPFR_RNDN);
        mpfr_sub(r15871, r15865, r15870, MPFR_RNDN);
        mpfr_div(r15872, r15866, r15867, MPFR_RNDN);
        mpfr_sqr(r15873, r15872, MPFR_RNDN);
        mpfr_mul(r15874, r15861, r15873, MPFR_RNDN);
        mpfr_set_d(r15875, U_, MPFR_RNDN);
        mpfr_sub(r15876, r15863, r15875, MPFR_RNDN);
        mpfr_mul(r15877, r15874, r15876, MPFR_RNDN);
        mpfr_sub(r15878, r15871, r15877, MPFR_RNDN);
        mpfr_mul(r15879, r15864, r15878, MPFR_RNDN);
        mpfr_sqrt(r15880, r15879, MPFR_RNDN);
        return mpfr_get_d(r15880, MPFR_RNDN);
}

