#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 r22600 = 2;
        float r22601 = n;
        float r22602 = r22600 * r22601;
        float r22603 = U;
        float r22604 = r22602 * r22603;
        float r22605 = t;
        float r22606 = l;
        float r22607 = r22606 * r22606;
        float r22608 = Om;
        float r22609 = r22607 / r22608;
        float r22610 = r22600 * r22609;
        float r22611 = r22605 - r22610;
        float r22612 = r22606 / r22608;
        float r22613 = pow(r22612, r22600);
        float r22614 = r22601 * r22613;
        float r22615 = U_;
        float r22616 = r22603 - r22615;
        float r22617 = r22614 * r22616;
        float r22618 = r22611 - r22617;
        float r22619 = r22604 * r22618;
        float r22620 = sqrt(r22619);
        return r22620;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22621 = 2;
        double r22622 = n;
        double r22623 = r22621 * r22622;
        double r22624 = U;
        double r22625 = r22623 * r22624;
        double r22626 = t;
        double r22627 = l;
        double r22628 = r22627 * r22627;
        double r22629 = Om;
        double r22630 = r22628 / r22629;
        double r22631 = r22621 * r22630;
        double r22632 = r22626 - r22631;
        double r22633 = r22627 / r22629;
        double r22634 = pow(r22633, r22621);
        double r22635 = r22622 * r22634;
        double r22636 = U_;
        double r22637 = r22624 - r22636;
        double r22638 = r22635 * r22637;
        double r22639 = r22632 - r22638;
        double r22640 = r22625 * r22639;
        double r22641 = sqrt(r22640);
        return r22641;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22642 = 2;
        float r22643 = n;
        float r22644 = r22642 * r22643;
        float r22645 = U;
        float r22646 = r22644 * r22645;
        float r22647 = 7.447815119838285e-143;
        bool r22648 = r22646 <= r22647;
        float r22649 = t;
        float r22650 = l;
        float r22651 = Om;
        float r22652 = r22651 / r22650;
        float r22653 = r22650 / r22652;
        float r22654 = r22642 * r22653;
        float r22655 = r22649 - r22654;
        float r22656 = r22650 / r22651;
        float r22657 = pow(r22656, r22642);
        float r22658 = r22643 * r22657;
        float r22659 = U_;
        float r22660 = r22645 - r22659;
        float r22661 = r22658 * r22660;
        float r22662 = r22655 - r22661;
        float r22663 = r22645 * r22662;
        float r22664 = r22644 * r22663;
        float r22665 = sqrt(r22664);
        float r22666 = sqrt(r22646);
        float r22667 = r22650 * r22650;
        float r22668 = r22667 / r22651;
        float r22669 = r22642 * r22668;
        float r22670 = r22649 - r22669;
        float r22671 = r22670 - r22661;
        float r22672 = sqrt(r22671);
        float r22673 = r22666 * r22672;
        float r22674 = r22648 ? r22665 : r22673;
        return r22674;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22675 = 2;
        double r22676 = n;
        double r22677 = r22675 * r22676;
        double r22678 = U;
        double r22679 = r22677 * r22678;
        double r22680 = 7.447815119838285e-143;
        bool r22681 = r22679 <= r22680;
        double r22682 = t;
        double r22683 = l;
        double r22684 = Om;
        double r22685 = r22684 / r22683;
        double r22686 = r22683 / r22685;
        double r22687 = r22675 * r22686;
        double r22688 = r22682 - r22687;
        double r22689 = r22683 / r22684;
        double r22690 = pow(r22689, r22675);
        double r22691 = r22676 * r22690;
        double r22692 = U_;
        double r22693 = r22678 - r22692;
        double r22694 = r22691 * r22693;
        double r22695 = r22688 - r22694;
        double r22696 = r22678 * r22695;
        double r22697 = r22677 * r22696;
        double r22698 = sqrt(r22697);
        double r22699 = sqrt(r22679);
        double r22700 = r22683 * r22683;
        double r22701 = r22700 / r22684;
        double r22702 = r22675 * r22701;
        double r22703 = r22682 - r22702;
        double r22704 = r22703 - r22694;
        double r22705 = sqrt(r22704);
        double r22706 = r22699 * r22705;
        double r22707 = r22681 ? r22698 : r22706;
        return r22707;
}

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 r22708, r22709, r22710, r22711, r22712, r22713, r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721, r22722, r22723, r22724, r22725, r22726, r22727, r22728;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22708, "2", 10, MPFR_RNDN);
        mpfr_init(r22709);
        mpfr_init(r22710);
        mpfr_init(r22711);
        mpfr_init(r22712);
        mpfr_init(r22713);
        mpfr_init(r22714);
        mpfr_init(r22715);
        mpfr_init(r22716);
        mpfr_init(r22717);
        mpfr_init(r22718);
        mpfr_init(r22719);
        mpfr_init(r22720);
        mpfr_init(r22721);
        mpfr_init(r22722);
        mpfr_init(r22723);
        mpfr_init(r22724);
        mpfr_init(r22725);
        mpfr_init(r22726);
        mpfr_init(r22727);
        mpfr_init(r22728);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22709, n, MPFR_RNDN);
        mpfr_mul(r22710, r22708, r22709, MPFR_RNDN);
        mpfr_set_d(r22711, U, MPFR_RNDN);
        mpfr_mul(r22712, r22710, r22711, MPFR_RNDN);
        mpfr_set_d(r22713, t, MPFR_RNDN);
        mpfr_set_d(r22714, l, MPFR_RNDN);
        mpfr_mul(r22715, r22714, r22714, MPFR_RNDN);
        mpfr_set_d(r22716, Om, MPFR_RNDN);
        mpfr_div(r22717, r22715, r22716, MPFR_RNDN);
        mpfr_mul(r22718, r22708, r22717, MPFR_RNDN);
        mpfr_sub(r22719, r22713, r22718, MPFR_RNDN);
        mpfr_div(r22720, r22714, r22716, MPFR_RNDN);
        mpfr_pow(r22721, r22720, r22708, MPFR_RNDN);
        mpfr_mul(r22722, r22709, r22721, MPFR_RNDN);
        mpfr_set_d(r22723, U_, MPFR_RNDN);
        mpfr_sub(r22724, r22711, r22723, MPFR_RNDN);
        mpfr_mul(r22725, r22722, r22724, MPFR_RNDN);
        mpfr_sub(r22726, r22719, r22725, MPFR_RNDN);
        mpfr_mul(r22727, r22712, r22726, MPFR_RNDN);
        mpfr_sqrt(r22728, r22727, MPFR_RNDN);
        return mpfr_get_d(r22728, MPFR_RNDN);
}

static mpfr_t r22729, r22730, r22731, r22732, r22733, r22734, r22735, r22736, r22737, r22738, r22739, r22740, r22741, r22742, r22743, r22744, r22745, r22746, r22747, r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760, r22761;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22729, "2", 10, MPFR_RNDN);
        mpfr_init(r22730);
        mpfr_init(r22731);
        mpfr_init(r22732);
        mpfr_init(r22733);
        mpfr_init_set_str(r22734, "7.447815119838285e-143", 10, MPFR_RNDN);
        mpfr_init(r22735);
        mpfr_init(r22736);
        mpfr_init(r22737);
        mpfr_init(r22738);
        mpfr_init(r22739);
        mpfr_init(r22740);
        mpfr_init(r22741);
        mpfr_init(r22742);
        mpfr_init(r22743);
        mpfr_init(r22744);
        mpfr_init(r22745);
        mpfr_init(r22746);
        mpfr_init(r22747);
        mpfr_init(r22748);
        mpfr_init(r22749);
        mpfr_init(r22750);
        mpfr_init(r22751);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init(r22754);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
        mpfr_init(r22758);
        mpfr_init(r22759);
        mpfr_init(r22760);
        mpfr_init(r22761);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22730, n, MPFR_RNDN);
        mpfr_mul(r22731, r22729, r22730, MPFR_RNDN);
        mpfr_set_d(r22732, U, MPFR_RNDN);
        mpfr_mul(r22733, r22731, r22732, MPFR_RNDN);
        ;
        mpfr_set_si(r22735, mpfr_cmp(r22733, r22734) <= 0, MPFR_RNDN);
        mpfr_set_d(r22736, t, MPFR_RNDN);
        mpfr_set_d(r22737, l, MPFR_RNDN);
        mpfr_set_d(r22738, Om, MPFR_RNDN);
        mpfr_div(r22739, r22738, r22737, MPFR_RNDN);
        mpfr_div(r22740, r22737, r22739, MPFR_RNDN);
        mpfr_mul(r22741, r22729, r22740, MPFR_RNDN);
        mpfr_sub(r22742, r22736, r22741, MPFR_RNDN);
        mpfr_div(r22743, r22737, r22738, MPFR_RNDN);
        mpfr_pow(r22744, r22743, r22729, MPFR_RNDN);
        mpfr_mul(r22745, r22730, r22744, MPFR_RNDN);
        mpfr_set_d(r22746, U_, MPFR_RNDN);
        mpfr_sub(r22747, r22732, r22746, MPFR_RNDN);
        mpfr_mul(r22748, r22745, r22747, MPFR_RNDN);
        mpfr_sub(r22749, r22742, r22748, MPFR_RNDN);
        mpfr_mul(r22750, r22732, r22749, MPFR_RNDN);
        mpfr_mul(r22751, r22731, r22750, MPFR_RNDN);
        mpfr_sqrt(r22752, r22751, MPFR_RNDN);
        mpfr_sqrt(r22753, r22733, MPFR_RNDN);
        mpfr_mul(r22754, r22737, r22737, MPFR_RNDN);
        mpfr_div(r22755, r22754, r22738, MPFR_RNDN);
        mpfr_mul(r22756, r22729, r22755, MPFR_RNDN);
        mpfr_sub(r22757, r22736, r22756, MPFR_RNDN);
        mpfr_sub(r22758, r22757, r22748, MPFR_RNDN);
        mpfr_sqrt(r22759, r22758, MPFR_RNDN);
        mpfr_mul(r22760, r22753, r22759, MPFR_RNDN);
        if (mpfr_get_si(r22735, MPFR_RNDN)) { mpfr_set(r22761, r22752, MPFR_RNDN); } else { mpfr_set(r22761, r22760, MPFR_RNDN); };
        return mpfr_get_d(r22761, MPFR_RNDN);
}

static mpfr_t r22762, r22763, r22764, r22765, r22766, r22767, r22768, r22769, r22770, r22771, r22772, r22773, r22774, r22775, r22776, r22777, r22778, r22779, r22780, r22781, r22782, r22783, r22784, r22785, r22786, r22787, r22788, r22789, r22790, r22791, r22792, r22793, r22794;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22762, "2", 10, MPFR_RNDN);
        mpfr_init(r22763);
        mpfr_init(r22764);
        mpfr_init(r22765);
        mpfr_init(r22766);
        mpfr_init_set_str(r22767, "7.447815119838285e-143", 10, MPFR_RNDN);
        mpfr_init(r22768);
        mpfr_init(r22769);
        mpfr_init(r22770);
        mpfr_init(r22771);
        mpfr_init(r22772);
        mpfr_init(r22773);
        mpfr_init(r22774);
        mpfr_init(r22775);
        mpfr_init(r22776);
        mpfr_init(r22777);
        mpfr_init(r22778);
        mpfr_init(r22779);
        mpfr_init(r22780);
        mpfr_init(r22781);
        mpfr_init(r22782);
        mpfr_init(r22783);
        mpfr_init(r22784);
        mpfr_init(r22785);
        mpfr_init(r22786);
        mpfr_init(r22787);
        mpfr_init(r22788);
        mpfr_init(r22789);
        mpfr_init(r22790);
        mpfr_init(r22791);
        mpfr_init(r22792);
        mpfr_init(r22793);
        mpfr_init(r22794);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22763, n, MPFR_RNDN);
        mpfr_mul(r22764, r22762, r22763, MPFR_RNDN);
        mpfr_set_d(r22765, U, MPFR_RNDN);
        mpfr_mul(r22766, r22764, r22765, MPFR_RNDN);
        ;
        mpfr_set_si(r22768, mpfr_cmp(r22766, r22767) <= 0, MPFR_RNDN);
        mpfr_set_d(r22769, t, MPFR_RNDN);
        mpfr_set_d(r22770, l, MPFR_RNDN);
        mpfr_set_d(r22771, Om, MPFR_RNDN);
        mpfr_div(r22772, r22771, r22770, MPFR_RNDN);
        mpfr_div(r22773, r22770, r22772, MPFR_RNDN);
        mpfr_mul(r22774, r22762, r22773, MPFR_RNDN);
        mpfr_sub(r22775, r22769, r22774, MPFR_RNDN);
        mpfr_div(r22776, r22770, r22771, MPFR_RNDN);
        mpfr_pow(r22777, r22776, r22762, MPFR_RNDN);
        mpfr_mul(r22778, r22763, r22777, MPFR_RNDN);
        mpfr_set_d(r22779, U_, MPFR_RNDN);
        mpfr_sub(r22780, r22765, r22779, MPFR_RNDN);
        mpfr_mul(r22781, r22778, r22780, MPFR_RNDN);
        mpfr_sub(r22782, r22775, r22781, MPFR_RNDN);
        mpfr_mul(r22783, r22765, r22782, MPFR_RNDN);
        mpfr_mul(r22784, r22764, r22783, MPFR_RNDN);
        mpfr_sqrt(r22785, r22784, MPFR_RNDN);
        mpfr_sqrt(r22786, r22766, MPFR_RNDN);
        mpfr_mul(r22787, r22770, r22770, MPFR_RNDN);
        mpfr_div(r22788, r22787, r22771, MPFR_RNDN);
        mpfr_mul(r22789, r22762, r22788, MPFR_RNDN);
        mpfr_sub(r22790, r22769, r22789, MPFR_RNDN);
        mpfr_sub(r22791, r22790, r22781, MPFR_RNDN);
        mpfr_sqrt(r22792, r22791, MPFR_RNDN);
        mpfr_mul(r22793, r22786, r22792, MPFR_RNDN);
        if (mpfr_get_si(r22768, MPFR_RNDN)) { mpfr_set(r22794, r22785, MPFR_RNDN); } else { mpfr_set(r22794, r22793, MPFR_RNDN); };
        return mpfr_get_d(r22794, MPFR_RNDN);
}

