#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 r15626 = 2.0f;
        float r15627 = n;
        float r15628 = r15626 * r15627;
        float r15629 = U;
        float r15630 = r15628 * r15629;
        float r15631 = t;
        float r15632 = l;
        float r15633 = r15632 * r15632;
        float r15634 = Om;
        float r15635 = r15633 / r15634;
        float r15636 = r15626 * r15635;
        float r15637 = r15631 - r15636;
        float r15638 = r15632 / r15634;
        float r15639 = r15638 * r15638;
        float r15640 = r15627 * r15639;
        float r15641 = U_;
        float r15642 = r15629 - r15641;
        float r15643 = r15640 * r15642;
        float r15644 = r15637 - r15643;
        float r15645 = r15630 * r15644;
        float r15646 = sqrt(r15645);
        return r15646;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15647 = 2.0;
        double r15648 = n;
        double r15649 = r15647 * r15648;
        double r15650 = U;
        double r15651 = r15649 * r15650;
        double r15652 = t;
        double r15653 = l;
        double r15654 = r15653 * r15653;
        double r15655 = Om;
        double r15656 = r15654 / r15655;
        double r15657 = r15647 * r15656;
        double r15658 = r15652 - r15657;
        double r15659 = r15653 / r15655;
        double r15660 = r15659 * r15659;
        double r15661 = r15648 * r15660;
        double r15662 = U_;
        double r15663 = r15650 - r15662;
        double r15664 = r15661 * r15663;
        double r15665 = r15658 - r15664;
        double r15666 = r15651 * r15665;
        double r15667 = sqrt(r15666);
        return r15667;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15668 = n;
        float r15669 = 2.1475859036128024e-308f;
        bool r15670 = r15668 <= r15669;
        float r15671 = 2.0f;
        float r15672 = r15671 * r15668;
        float r15673 = U;
        float r15674 = t;
        float r15675 = l;
        float r15676 = Om;
        float r15677 = r15676 / r15675;
        float r15678 = r15675 / r15677;
        float r15679 = r15671 * r15678;
        float r15680 = r15674 - r15679;
        float r15681 = r15675 / r15676;
        float r15682 = r15668 * r15681;
        float r15683 = r15682 * r15681;
        float r15684 = U_;
        float r15685 = r15673 - r15684;
        float r15686 = r15683 * r15685;
        float r15687 = r15680 - r15686;
        float r15688 = r15673 * r15687;
        float r15689 = r15672 * r15688;
        float r15690 = sqrt(r15689);
        float r15691 = sqrt(r15672);
        float r15692 = r15681 * r15681;
        float r15693 = r15668 * r15692;
        float r15694 = r15693 * r15685;
        float r15695 = r15680 - r15694;
        float r15696 = r15673 * r15695;
        float r15697 = sqrt(r15696);
        float r15698 = r15691 * r15697;
        float r15699 = r15670 ? r15690 : r15698;
        return r15699;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15700 = n;
        double r15701 = 2.1475859036128024e-308;
        bool r15702 = r15700 <= r15701;
        double r15703 = 2.0;
        double r15704 = r15703 * r15700;
        double r15705 = U;
        double r15706 = t;
        double r15707 = l;
        double r15708 = Om;
        double r15709 = r15708 / r15707;
        double r15710 = r15707 / r15709;
        double r15711 = r15703 * r15710;
        double r15712 = r15706 - r15711;
        double r15713 = r15707 / r15708;
        double r15714 = r15700 * r15713;
        double r15715 = r15714 * r15713;
        double r15716 = U_;
        double r15717 = r15705 - r15716;
        double r15718 = r15715 * r15717;
        double r15719 = r15712 - r15718;
        double r15720 = r15705 * r15719;
        double r15721 = r15704 * r15720;
        double r15722 = sqrt(r15721);
        double r15723 = sqrt(r15704);
        double r15724 = r15713 * r15713;
        double r15725 = r15700 * r15724;
        double r15726 = r15725 * r15717;
        double r15727 = r15712 - r15726;
        double r15728 = r15705 * r15727;
        double r15729 = sqrt(r15728);
        double r15730 = r15723 * r15729;
        double r15731 = r15702 ? r15722 : r15730;
        return r15731;
}

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 r15732, r15733, r15734, r15735, r15736, r15737, r15738, r15739, r15740, r15741, r15742, r15743, r15744, r15745, r15746, r15747, r15748, r15749, r15750, r15751, r15752;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15732, "2", 10, MPFR_RNDN);
        mpfr_init(r15733);
        mpfr_init(r15734);
        mpfr_init(r15735);
        mpfr_init(r15736);
        mpfr_init(r15737);
        mpfr_init(r15738);
        mpfr_init(r15739);
        mpfr_init(r15740);
        mpfr_init(r15741);
        mpfr_init(r15742);
        mpfr_init(r15743);
        mpfr_init(r15744);
        mpfr_init(r15745);
        mpfr_init(r15746);
        mpfr_init(r15747);
        mpfr_init(r15748);
        mpfr_init(r15749);
        mpfr_init(r15750);
        mpfr_init(r15751);
        mpfr_init(r15752);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15733, n, MPFR_RNDN);
        mpfr_mul(r15734, r15732, r15733, MPFR_RNDN);
        mpfr_set_d(r15735, U, MPFR_RNDN);
        mpfr_mul(r15736, r15734, r15735, MPFR_RNDN);
        mpfr_set_d(r15737, t, MPFR_RNDN);
        mpfr_set_d(r15738, l, MPFR_RNDN);
        mpfr_sqr(r15739, r15738, MPFR_RNDN);
        mpfr_set_d(r15740, Om, MPFR_RNDN);
        mpfr_div(r15741, r15739, r15740, MPFR_RNDN);
        mpfr_mul(r15742, r15732, r15741, MPFR_RNDN);
        mpfr_sub(r15743, r15737, r15742, MPFR_RNDN);
        mpfr_div(r15744, r15738, r15740, MPFR_RNDN);
        mpfr_sqr(r15745, r15744, MPFR_RNDN);
        mpfr_mul(r15746, r15733, r15745, MPFR_RNDN);
        mpfr_set_d(r15747, U_, MPFR_RNDN);
        mpfr_sub(r15748, r15735, r15747, MPFR_RNDN);
        mpfr_mul(r15749, r15746, r15748, MPFR_RNDN);
        mpfr_sub(r15750, r15743, r15749, MPFR_RNDN);
        mpfr_mul(r15751, r15736, r15750, MPFR_RNDN);
        mpfr_sqrt(r15752, r15751, MPFR_RNDN);
        return mpfr_get_d(r15752, MPFR_RNDN);
}

static mpfr_t r15753, r15754, r15755, r15756, r15757, r15758, r15759, r15760, r15761, r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769, r15770, r15771, r15772, r15773, r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15753);
        mpfr_init_set_str(r15754, "2.1475859036128024e-308", 10, MPFR_RNDN);
        mpfr_init(r15755);
        mpfr_init_set_str(r15756, "2", 10, MPFR_RNDN);
        mpfr_init(r15757);
        mpfr_init(r15758);
        mpfr_init(r15759);
        mpfr_init(r15760);
        mpfr_init(r15761);
        mpfr_init(r15762);
        mpfr_init(r15763);
        mpfr_init(r15764);
        mpfr_init(r15765);
        mpfr_init(r15766);
        mpfr_init(r15767);
        mpfr_init(r15768);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15753, n, MPFR_RNDN);
        ;
        mpfr_set_si(r15755, mpfr_cmp(r15753, r15754) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15757, r15756, r15753, MPFR_RNDN);
        mpfr_set_d(r15758, U, MPFR_RNDN);
        mpfr_set_d(r15759, t, MPFR_RNDN);
        mpfr_set_d(r15760, l, MPFR_RNDN);
        mpfr_set_d(r15761, Om, MPFR_RNDN);
        mpfr_div(r15762, r15761, r15760, MPFR_RNDN);
        mpfr_div(r15763, r15760, r15762, MPFR_RNDN);
        mpfr_mul(r15764, r15756, r15763, MPFR_RNDN);
        mpfr_sub(r15765, r15759, r15764, MPFR_RNDN);
        mpfr_div(r15766, r15760, r15761, MPFR_RNDN);
        mpfr_mul(r15767, r15753, r15766, MPFR_RNDN);
        mpfr_mul(r15768, r15767, r15766, MPFR_RNDN);
        mpfr_set_d(r15769, U_, MPFR_RNDN);
        mpfr_sub(r15770, r15758, r15769, MPFR_RNDN);
        mpfr_mul(r15771, r15768, r15770, MPFR_RNDN);
        mpfr_sub(r15772, r15765, r15771, MPFR_RNDN);
        mpfr_mul(r15773, r15758, r15772, MPFR_RNDN);
        mpfr_mul(r15774, r15757, r15773, MPFR_RNDN);
        mpfr_sqrt(r15775, r15774, MPFR_RNDN);
        mpfr_sqrt(r15776, r15757, MPFR_RNDN);
        mpfr_sqr(r15777, r15766, MPFR_RNDN);
        mpfr_mul(r15778, r15753, r15777, MPFR_RNDN);
        mpfr_mul(r15779, r15778, r15770, MPFR_RNDN);
        mpfr_sub(r15780, r15765, r15779, MPFR_RNDN);
        mpfr_mul(r15781, r15758, r15780, MPFR_RNDN);
        mpfr_sqrt(r15782, r15781, MPFR_RNDN);
        mpfr_mul(r15783, r15776, r15782, MPFR_RNDN);
        if (mpfr_get_si(r15755, MPFR_RNDN)) { mpfr_set(r15784, r15775, MPFR_RNDN); } else { mpfr_set(r15784, r15783, MPFR_RNDN); };
        return mpfr_get_d(r15784, MPFR_RNDN);
}

static mpfr_t r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796, r15797, r15798, r15799, r15800, r15801, r15802, r15803, r15804, r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15785);
        mpfr_init_set_str(r15786, "2.1475859036128024e-308", 10, MPFR_RNDN);
        mpfr_init(r15787);
        mpfr_init_set_str(r15788, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15807);
        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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15785, n, MPFR_RNDN);
        ;
        mpfr_set_si(r15787, mpfr_cmp(r15785, r15786) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15789, r15788, r15785, MPFR_RNDN);
        mpfr_set_d(r15790, U, MPFR_RNDN);
        mpfr_set_d(r15791, t, MPFR_RNDN);
        mpfr_set_d(r15792, l, MPFR_RNDN);
        mpfr_set_d(r15793, Om, MPFR_RNDN);
        mpfr_div(r15794, r15793, r15792, MPFR_RNDN);
        mpfr_div(r15795, r15792, r15794, MPFR_RNDN);
        mpfr_mul(r15796, r15788, r15795, MPFR_RNDN);
        mpfr_sub(r15797, r15791, r15796, MPFR_RNDN);
        mpfr_div(r15798, r15792, r15793, MPFR_RNDN);
        mpfr_mul(r15799, r15785, r15798, MPFR_RNDN);
        mpfr_mul(r15800, r15799, r15798, MPFR_RNDN);
        mpfr_set_d(r15801, U_, MPFR_RNDN);
        mpfr_sub(r15802, r15790, 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_mul(r15806, r15789, r15805, MPFR_RNDN);
        mpfr_sqrt(r15807, r15806, MPFR_RNDN);
        mpfr_sqrt(r15808, r15789, MPFR_RNDN);
        mpfr_sqr(r15809, r15798, MPFR_RNDN);
        mpfr_mul(r15810, r15785, r15809, MPFR_RNDN);
        mpfr_mul(r15811, r15810, r15802, MPFR_RNDN);
        mpfr_sub(r15812, r15797, r15811, MPFR_RNDN);
        mpfr_mul(r15813, r15790, r15812, MPFR_RNDN);
        mpfr_sqrt(r15814, r15813, MPFR_RNDN);
        mpfr_mul(r15815, r15808, r15814, MPFR_RNDN);
        if (mpfr_get_si(r15787, MPFR_RNDN)) { mpfr_set(r15816, r15807, MPFR_RNDN); } else { mpfr_set(r15816, r15815, MPFR_RNDN); };
        return mpfr_get_d(r15816, MPFR_RNDN);
}

