#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 r15686 = 2.0f;
        float r15687 = n;
        float r15688 = r15686 * r15687;
        float r15689 = U;
        float r15690 = r15688 * r15689;
        float r15691 = t;
        float r15692 = l;
        float r15693 = r15692 * r15692;
        float r15694 = Om;
        float r15695 = r15693 / r15694;
        float r15696 = r15686 * r15695;
        float r15697 = r15691 - r15696;
        float r15698 = r15692 / r15694;
        float r15699 = r15698 * r15698;
        float r15700 = r15687 * r15699;
        float r15701 = U_;
        float r15702 = r15689 - r15701;
        float r15703 = r15700 * r15702;
        float r15704 = r15697 - r15703;
        float r15705 = r15690 * r15704;
        float r15706 = sqrt(r15705);
        return r15706;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15707 = 2.0;
        double r15708 = n;
        double r15709 = r15707 * r15708;
        double r15710 = U;
        double r15711 = r15709 * r15710;
        double r15712 = t;
        double r15713 = l;
        double r15714 = r15713 * r15713;
        double r15715 = Om;
        double r15716 = r15714 / r15715;
        double r15717 = r15707 * r15716;
        double r15718 = r15712 - r15717;
        double r15719 = r15713 / r15715;
        double r15720 = r15719 * r15719;
        double r15721 = r15708 * r15720;
        double r15722 = U_;
        double r15723 = r15710 - r15722;
        double r15724 = r15721 * r15723;
        double r15725 = r15718 - r15724;
        double r15726 = r15711 * r15725;
        double r15727 = sqrt(r15726);
        return r15727;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15728 = 2.0f;
        float r15729 = U;
        float r15730 = n;
        float r15731 = r15729 * r15730;
        float r15732 = r15728 * r15731;
        float r15733 = t;
        float r15734 = l;
        float r15735 = r15728 * r15734;
        float r15736 = Om;
        float r15737 = r15736 / r15734;
        float r15738 = r15735 / r15737;
        float r15739 = r15733 - r15738;
        float r15740 = U_;
        float r15741 = r15729 - r15740;
        float r15742 = r15741 / r15737;
        float r15743 = r15730 / r15737;
        float r15744 = r15742 * r15743;
        float r15745 = r15739 - r15744;
        float r15746 = r15732 * r15745;
        float r15747 = sqrt(r15746);
        return r15747;
}

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

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 r15768, r15769, r15770, r15771, r15772, r15773, r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784, r15785, r15786, r15787, r15788;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15768, "2", 10, MPFR_RNDN);
        mpfr_init(r15769);
        mpfr_init(r15770);
        mpfr_init(r15771);
        mpfr_init(r15772);
        mpfr_init(r15773);
        mpfr_init(r15774);
        mpfr_init(r15775);
        mpfr_init(r15776);
        mpfr_init(r15777);
        mpfr_init(r15778);
        mpfr_init(r15779);
        mpfr_init(r15780);
        mpfr_init(r15781);
        mpfr_init(r15782);
        mpfr_init(r15783);
        mpfr_init(r15784);
        mpfr_init(r15785);
        mpfr_init(r15786);
        mpfr_init(r15787);
        mpfr_init(r15788);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15769, n, MPFR_RNDN);
        mpfr_mul(r15770, r15768, r15769, MPFR_RNDN);
        mpfr_set_d(r15771, U, MPFR_RNDN);
        mpfr_mul(r15772, r15770, r15771, MPFR_RNDN);
        mpfr_set_d(r15773, t, MPFR_RNDN);
        mpfr_set_d(r15774, l, MPFR_RNDN);
        mpfr_sqr(r15775, r15774, MPFR_RNDN);
        mpfr_set_d(r15776, Om, MPFR_RNDN);
        mpfr_div(r15777, r15775, r15776, MPFR_RNDN);
        mpfr_mul(r15778, r15768, r15777, MPFR_RNDN);
        mpfr_sub(r15779, r15773, r15778, MPFR_RNDN);
        mpfr_div(r15780, r15774, r15776, MPFR_RNDN);
        mpfr_sqr(r15781, r15780, MPFR_RNDN);
        mpfr_mul(r15782, r15769, r15781, MPFR_RNDN);
        mpfr_set_d(r15783, U_, MPFR_RNDN);
        mpfr_sub(r15784, r15771, r15783, MPFR_RNDN);
        mpfr_mul(r15785, r15782, r15784, MPFR_RNDN);
        mpfr_sub(r15786, r15779, r15785, MPFR_RNDN);
        mpfr_mul(r15787, r15772, r15786, MPFR_RNDN);
        mpfr_sqrt(r15788, r15787, MPFR_RNDN);
        return mpfr_get_d(r15788, MPFR_RNDN);
}

static mpfr_t r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796, r15797, r15798, r15799, r15800, r15801, r15802, r15803, r15804, r15805, r15806, r15807, r15808;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15789, "2", 10, MPFR_RNDN);
        mpfr_init(r15790);
        mpfr_init(r15791);
        mpfr_init(r15792);
        mpfr_init(r15793);
        mpfr_init(r15794);
        mpfr_init(r15795);
        mpfr_init(r15796);
        mpfr_init(r15797);
        mpfr_init(r15798);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15790, U, MPFR_RNDN);
        mpfr_set_d(r15791, n, MPFR_RNDN);
        mpfr_mul(r15792, r15790, r15791, MPFR_RNDN);
        mpfr_mul(r15793, r15789, r15792, MPFR_RNDN);
        mpfr_set_d(r15794, t, MPFR_RNDN);
        mpfr_set_d(r15795, l, MPFR_RNDN);
        mpfr_mul(r15796, r15789, r15795, MPFR_RNDN);
        mpfr_set_d(r15797, Om, MPFR_RNDN);
        mpfr_div(r15798, r15797, r15795, MPFR_RNDN);
        mpfr_div(r15799, r15796, r15798, MPFR_RNDN);
        mpfr_sub(r15800, r15794, r15799, MPFR_RNDN);
        mpfr_set_d(r15801, U_, MPFR_RNDN);
        mpfr_sub(r15802, r15790, r15801, MPFR_RNDN);
        mpfr_div(r15803, r15802, r15798, MPFR_RNDN);
        mpfr_div(r15804, r15791, r15798, MPFR_RNDN);
        mpfr_mul(r15805, r15803, r15804, MPFR_RNDN);
        mpfr_sub(r15806, r15800, r15805, MPFR_RNDN);
        mpfr_mul(r15807, r15793, r15806, MPFR_RNDN);
        mpfr_sqrt(r15808, r15807, MPFR_RNDN);
        return mpfr_get_d(r15808, MPFR_RNDN);
}

static mpfr_t r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15809, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15827);
        mpfr_init(r15828);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15810, U, MPFR_RNDN);
        mpfr_set_d(r15811, n, MPFR_RNDN);
        mpfr_mul(r15812, r15810, r15811, MPFR_RNDN);
        mpfr_mul(r15813, r15809, r15812, MPFR_RNDN);
        mpfr_set_d(r15814, t, MPFR_RNDN);
        mpfr_set_d(r15815, l, MPFR_RNDN);
        mpfr_mul(r15816, r15809, r15815, MPFR_RNDN);
        mpfr_set_d(r15817, Om, MPFR_RNDN);
        mpfr_div(r15818, r15817, r15815, MPFR_RNDN);
        mpfr_div(r15819, r15816, r15818, MPFR_RNDN);
        mpfr_sub(r15820, r15814, r15819, MPFR_RNDN);
        mpfr_set_d(r15821, U_, MPFR_RNDN);
        mpfr_sub(r15822, r15810, r15821, MPFR_RNDN);
        mpfr_div(r15823, r15822, r15818, MPFR_RNDN);
        mpfr_div(r15824, r15811, r15818, MPFR_RNDN);
        mpfr_mul(r15825, r15823, r15824, MPFR_RNDN);
        mpfr_sub(r15826, r15820, r15825, MPFR_RNDN);
        mpfr_mul(r15827, r15813, r15826, MPFR_RNDN);
        mpfr_sqrt(r15828, r15827, MPFR_RNDN);
        return mpfr_get_d(r15828, MPFR_RNDN);
}

