#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 r15698 = 2.0f;
        float r15699 = n;
        float r15700 = r15698 * r15699;
        float r15701 = U;
        float r15702 = r15700 * r15701;
        float r15703 = t;
        float r15704 = l;
        float r15705 = r15704 * r15704;
        float r15706 = Om;
        float r15707 = r15705 / r15706;
        float r15708 = r15698 * r15707;
        float r15709 = r15703 - r15708;
        float r15710 = r15704 / r15706;
        float r15711 = r15710 * r15710;
        float r15712 = r15699 * r15711;
        float r15713 = U_;
        float r15714 = r15701 - r15713;
        float r15715 = r15712 * r15714;
        float r15716 = r15709 - r15715;
        float r15717 = r15702 * r15716;
        float r15718 = sqrt(r15717);
        return r15718;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15719 = 2.0;
        double r15720 = n;
        double r15721 = r15719 * r15720;
        double r15722 = U;
        double r15723 = r15721 * r15722;
        double r15724 = t;
        double r15725 = l;
        double r15726 = r15725 * r15725;
        double r15727 = Om;
        double r15728 = r15726 / r15727;
        double r15729 = r15719 * r15728;
        double r15730 = r15724 - r15729;
        double r15731 = r15725 / r15727;
        double r15732 = r15731 * r15731;
        double r15733 = r15720 * r15732;
        double r15734 = U_;
        double r15735 = r15722 - r15734;
        double r15736 = r15733 * r15735;
        double r15737 = r15730 - r15736;
        double r15738 = r15723 * r15737;
        double r15739 = sqrt(r15738);
        return r15739;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15740 = 2.0f;
        float r15741 = n;
        float r15742 = r15740 * r15741;
        float r15743 = U;
        float r15744 = t;
        float r15745 = l;
        float r15746 = Om;
        float r15747 = r15746 / r15745;
        float r15748 = r15745 / r15747;
        float r15749 = r15740 * r15748;
        float r15750 = r15744 - r15749;
        float r15751 = r15745 / r15746;
        float r15752 = r15751 * r15751;
        float r15753 = r15741 * r15752;
        float r15754 = 1.0f;
        float r15755 = pow(r15753, r15754);
        float r15756 = U_;
        float r15757 = r15743 - r15756;
        float r15758 = r15755 * r15757;
        float r15759 = r15750 - r15758;
        float r15760 = r15743 * r15759;
        float r15761 = r15742 * r15760;
        float r15762 = sqrt(r15761);
        return r15762;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15763 = 2.0;
        double r15764 = n;
        double r15765 = r15763 * r15764;
        double r15766 = U;
        double r15767 = t;
        double r15768 = l;
        double r15769 = Om;
        double r15770 = r15769 / r15768;
        double r15771 = r15768 / r15770;
        double r15772 = r15763 * r15771;
        double r15773 = r15767 - r15772;
        double r15774 = r15768 / r15769;
        double r15775 = r15774 * r15774;
        double r15776 = r15764 * r15775;
        double r15777 = 1.0;
        double r15778 = pow(r15776, r15777);
        double r15779 = U_;
        double r15780 = r15766 - r15779;
        double r15781 = r15778 * r15780;
        double r15782 = r15773 - r15781;
        double r15783 = r15766 * r15782;
        double r15784 = r15765 * r15783;
        double r15785 = sqrt(r15784);
        return r15785;
}

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 r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796, r15797, r15798, r15799, r15800, r15801, r15802, r15803, r15804, r15805, r15806;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15786, "2", 10, MPFR_RNDN);
        mpfr_init(r15787);
        mpfr_init(r15788);
        mpfr_init(r15789);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15787, n, MPFR_RNDN);
        mpfr_mul(r15788, r15786, r15787, MPFR_RNDN);
        mpfr_set_d(r15789, U, MPFR_RNDN);
        mpfr_mul(r15790, r15788, r15789, MPFR_RNDN);
        mpfr_set_d(r15791, t, MPFR_RNDN);
        mpfr_set_d(r15792, l, MPFR_RNDN);
        mpfr_sqr(r15793, r15792, MPFR_RNDN);
        mpfr_set_d(r15794, Om, MPFR_RNDN);
        mpfr_div(r15795, r15793, r15794, MPFR_RNDN);
        mpfr_mul(r15796, r15786, r15795, MPFR_RNDN);
        mpfr_sub(r15797, r15791, r15796, MPFR_RNDN);
        mpfr_div(r15798, r15792, r15794, MPFR_RNDN);
        mpfr_sqr(r15799, r15798, MPFR_RNDN);
        mpfr_mul(r15800, r15787, r15799, MPFR_RNDN);
        mpfr_set_d(r15801, U_, MPFR_RNDN);
        mpfr_sub(r15802, r15789, r15801, MPFR_RNDN);
        mpfr_mul(r15803, r15800, r15802, MPFR_RNDN);
        mpfr_sub(r15804, r15797, r15803, MPFR_RNDN);
        mpfr_mul(r15805, r15790, r15804, MPFR_RNDN);
        mpfr_sqrt(r15806, r15805, MPFR_RNDN);
        return mpfr_get_d(r15806, MPFR_RNDN);
}

static mpfr_t r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15807, "2", 10, MPFR_RNDN);
        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_set_str(r15821, "1", 10, MPFR_RNDN);
        mpfr_init(r15822);
        mpfr_init(r15823);
        mpfr_init(r15824);
        mpfr_init(r15825);
        mpfr_init(r15826);
        mpfr_init(r15827);
        mpfr_init(r15828);
        mpfr_init(r15829);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15808, n, MPFR_RNDN);
        mpfr_mul(r15809, r15807, r15808, MPFR_RNDN);
        mpfr_set_d(r15810, U, MPFR_RNDN);
        mpfr_set_d(r15811, t, MPFR_RNDN);
        mpfr_set_d(r15812, l, MPFR_RNDN);
        mpfr_set_d(r15813, Om, MPFR_RNDN);
        mpfr_div(r15814, r15813, r15812, MPFR_RNDN);
        mpfr_div(r15815, r15812, r15814, MPFR_RNDN);
        mpfr_mul(r15816, r15807, r15815, MPFR_RNDN);
        mpfr_sub(r15817, r15811, r15816, MPFR_RNDN);
        mpfr_div(r15818, r15812, r15813, MPFR_RNDN);
        mpfr_sqr(r15819, r15818, MPFR_RNDN);
        mpfr_mul(r15820, r15808, r15819, MPFR_RNDN);
        ;
        mpfr_pow(r15822, r15820, r15821, MPFR_RNDN);
        mpfr_set_d(r15823, U_, MPFR_RNDN);
        mpfr_sub(r15824, r15810, r15823, MPFR_RNDN);
        mpfr_mul(r15825, r15822, r15824, MPFR_RNDN);
        mpfr_sub(r15826, r15817, r15825, MPFR_RNDN);
        mpfr_mul(r15827, r15810, r15826, MPFR_RNDN);
        mpfr_mul(r15828, r15809, r15827, MPFR_RNDN);
        mpfr_sqrt(r15829, r15828, MPFR_RNDN);
        return mpfr_get_d(r15829, MPFR_RNDN);
}

static mpfr_t r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15830, "2", 10, MPFR_RNDN);
        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(r15841);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init_set_str(r15844, "1", 10, MPFR_RNDN);
        mpfr_init(r15845);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15831, n, MPFR_RNDN);
        mpfr_mul(r15832, r15830, r15831, MPFR_RNDN);
        mpfr_set_d(r15833, U, MPFR_RNDN);
        mpfr_set_d(r15834, t, MPFR_RNDN);
        mpfr_set_d(r15835, l, MPFR_RNDN);
        mpfr_set_d(r15836, Om, MPFR_RNDN);
        mpfr_div(r15837, r15836, r15835, MPFR_RNDN);
        mpfr_div(r15838, r15835, r15837, MPFR_RNDN);
        mpfr_mul(r15839, r15830, r15838, MPFR_RNDN);
        mpfr_sub(r15840, r15834, r15839, MPFR_RNDN);
        mpfr_div(r15841, r15835, r15836, MPFR_RNDN);
        mpfr_sqr(r15842, r15841, MPFR_RNDN);
        mpfr_mul(r15843, r15831, r15842, MPFR_RNDN);
        ;
        mpfr_pow(r15845, r15843, r15844, MPFR_RNDN);
        mpfr_set_d(r15846, U_, MPFR_RNDN);
        mpfr_sub(r15847, r15833, r15846, MPFR_RNDN);
        mpfr_mul(r15848, r15845, r15847, MPFR_RNDN);
        mpfr_sub(r15849, r15840, r15848, MPFR_RNDN);
        mpfr_mul(r15850, r15833, r15849, MPFR_RNDN);
        mpfr_mul(r15851, r15832, r15850, MPFR_RNDN);
        mpfr_sqrt(r15852, r15851, MPFR_RNDN);
        return mpfr_get_d(r15852, MPFR_RNDN);
}

