#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 = n;
        float r15730 = r15728 * r15729;
        float r15731 = U;
        float r15732 = t;
        float r15733 = l;
        float r15734 = Om;
        float r15735 = r15734 / r15733;
        float r15736 = r15733 / r15735;
        float r15737 = r15728 * r15736;
        float r15738 = r15732 - r15737;
        float r15739 = r15733 / r15734;
        float r15740 = r15739 * r15739;
        float r15741 = r15729 * r15740;
        float r15742 = 1.0f;
        float r15743 = pow(r15741, r15742);
        float r15744 = U_;
        float r15745 = r15731 - r15744;
        float r15746 = r15743 * r15745;
        float r15747 = r15738 - r15746;
        float r15748 = r15731 * r15747;
        float r15749 = r15730 * r15748;
        float r15750 = sqrt(r15749);
        return r15750;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15751 = 2.0;
        double r15752 = n;
        double r15753 = r15751 * r15752;
        double r15754 = U;
        double r15755 = t;
        double r15756 = l;
        double r15757 = Om;
        double r15758 = r15757 / r15756;
        double r15759 = r15756 / r15758;
        double r15760 = r15751 * r15759;
        double r15761 = r15755 - r15760;
        double r15762 = r15756 / r15757;
        double r15763 = r15762 * r15762;
        double r15764 = r15752 * r15763;
        double r15765 = 1.0;
        double r15766 = pow(r15764, r15765);
        double r15767 = U_;
        double r15768 = r15754 - r15767;
        double r15769 = r15766 * r15768;
        double r15770 = r15761 - r15769;
        double r15771 = r15754 * r15770;
        double r15772 = r15753 * r15771;
        double r15773 = sqrt(r15772);
        return r15773;
}

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 r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784, r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15774, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15789);
        mpfr_init(r15790);
        mpfr_init(r15791);
        mpfr_init(r15792);
        mpfr_init(r15793);
        mpfr_init(r15794);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15775, n, MPFR_RNDN);
        mpfr_mul(r15776, r15774, r15775, MPFR_RNDN);
        mpfr_set_d(r15777, U, MPFR_RNDN);
        mpfr_mul(r15778, r15776, r15777, MPFR_RNDN);
        mpfr_set_d(r15779, t, MPFR_RNDN);
        mpfr_set_d(r15780, l, MPFR_RNDN);
        mpfr_sqr(r15781, r15780, MPFR_RNDN);
        mpfr_set_d(r15782, Om, MPFR_RNDN);
        mpfr_div(r15783, r15781, r15782, MPFR_RNDN);
        mpfr_mul(r15784, r15774, r15783, MPFR_RNDN);
        mpfr_sub(r15785, r15779, r15784, MPFR_RNDN);
        mpfr_div(r15786, r15780, r15782, MPFR_RNDN);
        mpfr_sqr(r15787, r15786, MPFR_RNDN);
        mpfr_mul(r15788, r15775, r15787, MPFR_RNDN);
        mpfr_set_d(r15789, U_, MPFR_RNDN);
        mpfr_sub(r15790, r15777, r15789, MPFR_RNDN);
        mpfr_mul(r15791, r15788, r15790, MPFR_RNDN);
        mpfr_sub(r15792, r15785, r15791, MPFR_RNDN);
        mpfr_mul(r15793, r15778, r15792, MPFR_RNDN);
        mpfr_sqrt(r15794, r15793, MPFR_RNDN);
        return mpfr_get_d(r15794, MPFR_RNDN);
}

static mpfr_t r15795, r15796, r15797, r15798, r15799, r15800, r15801, r15802, r15803, r15804, r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15795, "2", 10, MPFR_RNDN);
        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);
        mpfr_init_set_str(r15809, "1", 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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15796, n, MPFR_RNDN);
        mpfr_mul(r15797, r15795, r15796, MPFR_RNDN);
        mpfr_set_d(r15798, U, MPFR_RNDN);
        mpfr_set_d(r15799, t, MPFR_RNDN);
        mpfr_set_d(r15800, l, MPFR_RNDN);
        mpfr_set_d(r15801, Om, MPFR_RNDN);
        mpfr_div(r15802, r15801, r15800, MPFR_RNDN);
        mpfr_div(r15803, r15800, r15802, MPFR_RNDN);
        mpfr_mul(r15804, r15795, r15803, MPFR_RNDN);
        mpfr_sub(r15805, r15799, r15804, MPFR_RNDN);
        mpfr_div(r15806, r15800, r15801, MPFR_RNDN);
        mpfr_sqr(r15807, r15806, MPFR_RNDN);
        mpfr_mul(r15808, r15796, r15807, MPFR_RNDN);
        ;
        mpfr_pow(r15810, r15808, r15809, MPFR_RNDN);
        mpfr_set_d(r15811, U_, MPFR_RNDN);
        mpfr_sub(r15812, r15798, r15811, MPFR_RNDN);
        mpfr_mul(r15813, r15810, r15812, MPFR_RNDN);
        mpfr_sub(r15814, r15805, r15813, MPFR_RNDN);
        mpfr_mul(r15815, r15798, r15814, MPFR_RNDN);
        mpfr_mul(r15816, r15797, r15815, MPFR_RNDN);
        mpfr_sqrt(r15817, r15816, MPFR_RNDN);
        return mpfr_get_d(r15817, MPFR_RNDN);
}

static mpfr_t r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840;

void setup_mpfr_f_dm() {
        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_set_str(r15832, "1", 10, MPFR_RNDN);
        mpfr_init(r15833);
        mpfr_init(r15834);
        mpfr_init(r15835);
        mpfr_init(r15836);
        mpfr_init(r15837);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
}

double f_dm(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_set_d(r15822, t, MPFR_RNDN);
        mpfr_set_d(r15823, l, MPFR_RNDN);
        mpfr_set_d(r15824, Om, MPFR_RNDN);
        mpfr_div(r15825, r15824, r15823, MPFR_RNDN);
        mpfr_div(r15826, r15823, r15825, MPFR_RNDN);
        mpfr_mul(r15827, r15818, r15826, MPFR_RNDN);
        mpfr_sub(r15828, r15822, r15827, MPFR_RNDN);
        mpfr_div(r15829, r15823, r15824, MPFR_RNDN);
        mpfr_sqr(r15830, r15829, MPFR_RNDN);
        mpfr_mul(r15831, r15819, r15830, MPFR_RNDN);
        ;
        mpfr_pow(r15833, r15831, r15832, MPFR_RNDN);
        mpfr_set_d(r15834, U_, MPFR_RNDN);
        mpfr_sub(r15835, r15821, r15834, MPFR_RNDN);
        mpfr_mul(r15836, r15833, r15835, MPFR_RNDN);
        mpfr_sub(r15837, r15828, r15836, MPFR_RNDN);
        mpfr_mul(r15838, r15821, r15837, MPFR_RNDN);
        mpfr_mul(r15839, r15820, r15838, MPFR_RNDN);
        mpfr_sqrt(r15840, r15839, MPFR_RNDN);
        return mpfr_get_d(r15840, MPFR_RNDN);
}

