#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 r20573 = 2;
        float r20574 = n;
        float r20575 = r20573 * r20574;
        float r20576 = U;
        float r20577 = r20575 * r20576;
        float r20578 = t;
        float r20579 = l;
        float r20580 = r20579 * r20579;
        float r20581 = Om;
        float r20582 = r20580 / r20581;
        float r20583 = r20573 * r20582;
        float r20584 = r20578 - r20583;
        float r20585 = r20579 / r20581;
        float r20586 = pow(r20585, r20573);
        float r20587 = r20574 * r20586;
        float r20588 = U_;
        float r20589 = r20576 - r20588;
        float r20590 = r20587 * r20589;
        float r20591 = r20584 - r20590;
        float r20592 = r20577 * r20591;
        float r20593 = sqrt(r20592);
        return r20593;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r20594 = 2;
        double r20595 = n;
        double r20596 = r20594 * r20595;
        double r20597 = U;
        double r20598 = r20596 * r20597;
        double r20599 = t;
        double r20600 = l;
        double r20601 = r20600 * r20600;
        double r20602 = Om;
        double r20603 = r20601 / r20602;
        double r20604 = r20594 * r20603;
        double r20605 = r20599 - r20604;
        double r20606 = r20600 / r20602;
        double r20607 = pow(r20606, r20594);
        double r20608 = r20595 * r20607;
        double r20609 = U_;
        double r20610 = r20597 - r20609;
        double r20611 = r20608 * r20610;
        double r20612 = r20605 - r20611;
        double r20613 = r20598 * r20612;
        double r20614 = sqrt(r20613);
        return r20614;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r20615 = l;
        float r20616 = -1.069539600676056e-57;
        bool r20617 = r20615 <= r20616;
        float r20618 = 2;
        float r20619 = n;
        float r20620 = r20618 * r20619;
        float r20621 = U;
        float r20622 = r20620 * r20621;
        float r20623 = t;
        float r20624 = Om;
        float r20625 = r20624 / r20615;
        float r20626 = r20615 / r20625;
        float r20627 = r20618 * r20626;
        float r20628 = r20623 - r20627;
        float r20629 = r20615 / r20624;
        float r20630 = r20619 * r20629;
        float r20631 = U_;
        float r20632 = r20621 - r20631;
        float r20633 = r20629 * r20632;
        float r20634 = r20630 * r20633;
        float r20635 = r20628 - r20634;
        float r20636 = r20622 * r20635;
        float r20637 = sqrt(r20636);
        float r20638 = -1.3283666308883656e-304;
        bool r20639 = r20615 <= r20638;
        float r20640 = r20630 * r20629;
        float r20641 = r20640 * r20632;
        float r20642 = r20628 - r20641;
        float r20643 = r20621 * r20642;
        float r20644 = r20620 * r20643;
        float r20645 = sqrt(r20644);
        float r20646 = 2.7965540730031745e-190;
        bool r20647 = r20615 <= r20646;
        float r20648 = r20647 ? r20637 : r20645;
        float r20649 = r20639 ? r20645 : r20648;
        float r20650 = r20617 ? r20637 : r20649;
        return r20650;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r20651 = l;
        double r20652 = -1.069539600676056e-57;
        bool r20653 = r20651 <= r20652;
        double r20654 = 2;
        double r20655 = n;
        double r20656 = r20654 * r20655;
        double r20657 = U;
        double r20658 = r20656 * r20657;
        double r20659 = t;
        double r20660 = Om;
        double r20661 = r20660 / r20651;
        double r20662 = r20651 / r20661;
        double r20663 = r20654 * r20662;
        double r20664 = r20659 - r20663;
        double r20665 = r20651 / r20660;
        double r20666 = r20655 * r20665;
        double r20667 = U_;
        double r20668 = r20657 - r20667;
        double r20669 = r20665 * r20668;
        double r20670 = r20666 * r20669;
        double r20671 = r20664 - r20670;
        double r20672 = r20658 * r20671;
        double r20673 = sqrt(r20672);
        double r20674 = -1.3283666308883656e-304;
        bool r20675 = r20651 <= r20674;
        double r20676 = r20666 * r20665;
        double r20677 = r20676 * r20668;
        double r20678 = r20664 - r20677;
        double r20679 = r20657 * r20678;
        double r20680 = r20656 * r20679;
        double r20681 = sqrt(r20680);
        double r20682 = 2.7965540730031745e-190;
        bool r20683 = r20651 <= r20682;
        double r20684 = r20683 ? r20673 : r20681;
        double r20685 = r20675 ? r20681 : r20684;
        double r20686 = r20653 ? r20673 : r20685;
        return r20686;
}

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 r20687, r20688, r20689, r20690, r20691, r20692, r20693, r20694, r20695, r20696, r20697, r20698, r20699, r20700, r20701, r20702, r20703, r20704, r20705, r20706, r20707;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r20687, "2", 10, MPFR_RNDN);
        mpfr_init(r20688);
        mpfr_init(r20689);
        mpfr_init(r20690);
        mpfr_init(r20691);
        mpfr_init(r20692);
        mpfr_init(r20693);
        mpfr_init(r20694);
        mpfr_init(r20695);
        mpfr_init(r20696);
        mpfr_init(r20697);
        mpfr_init(r20698);
        mpfr_init(r20699);
        mpfr_init(r20700);
        mpfr_init(r20701);
        mpfr_init(r20702);
        mpfr_init(r20703);
        mpfr_init(r20704);
        mpfr_init(r20705);
        mpfr_init(r20706);
        mpfr_init(r20707);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r20688, n, MPFR_RNDN);
        mpfr_mul(r20689, r20687, r20688, MPFR_RNDN);
        mpfr_set_d(r20690, U, MPFR_RNDN);
        mpfr_mul(r20691, r20689, r20690, MPFR_RNDN);
        mpfr_set_d(r20692, t, MPFR_RNDN);
        mpfr_set_d(r20693, l, MPFR_RNDN);
        mpfr_mul(r20694, r20693, r20693, MPFR_RNDN);
        mpfr_set_d(r20695, Om, MPFR_RNDN);
        mpfr_div(r20696, r20694, r20695, MPFR_RNDN);
        mpfr_mul(r20697, r20687, r20696, MPFR_RNDN);
        mpfr_sub(r20698, r20692, r20697, MPFR_RNDN);
        mpfr_div(r20699, r20693, r20695, MPFR_RNDN);
        mpfr_pow(r20700, r20699, r20687, MPFR_RNDN);
        mpfr_mul(r20701, r20688, r20700, MPFR_RNDN);
        mpfr_set_d(r20702, U_, MPFR_RNDN);
        mpfr_sub(r20703, r20690, r20702, MPFR_RNDN);
        mpfr_mul(r20704, r20701, r20703, MPFR_RNDN);
        mpfr_sub(r20705, r20698, r20704, MPFR_RNDN);
        mpfr_mul(r20706, r20691, r20705, MPFR_RNDN);
        mpfr_sqrt(r20707, r20706, MPFR_RNDN);
        return mpfr_get_d(r20707, MPFR_RNDN);
}

static mpfr_t r20708, r20709, r20710, r20711, r20712, r20713, r20714, r20715, r20716, r20717, r20718, r20719, r20720, r20721, r20722, r20723, r20724, r20725, r20726, r20727, r20728, r20729, r20730, r20731, r20732, r20733, r20734, r20735, r20736, r20737, r20738, r20739, r20740, r20741, r20742, r20743;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20708);
        mpfr_init_set_str(r20709, "-1.069539600676056e-57", 10, MPFR_RNDN);
        mpfr_init(r20710);
        mpfr_init_set_str(r20711, "2", 10, MPFR_RNDN);
        mpfr_init(r20712);
        mpfr_init(r20713);
        mpfr_init(r20714);
        mpfr_init(r20715);
        mpfr_init(r20716);
        mpfr_init(r20717);
        mpfr_init(r20718);
        mpfr_init(r20719);
        mpfr_init(r20720);
        mpfr_init(r20721);
        mpfr_init(r20722);
        mpfr_init(r20723);
        mpfr_init(r20724);
        mpfr_init(r20725);
        mpfr_init(r20726);
        mpfr_init(r20727);
        mpfr_init(r20728);
        mpfr_init(r20729);
        mpfr_init(r20730);
        mpfr_init_set_str(r20731, "-1.3283666308883656e-304", 10, MPFR_RNDN);
        mpfr_init(r20732);
        mpfr_init(r20733);
        mpfr_init(r20734);
        mpfr_init(r20735);
        mpfr_init(r20736);
        mpfr_init(r20737);
        mpfr_init(r20738);
        mpfr_init_set_str(r20739, "2.7965540730031745e-190", 10, MPFR_RNDN);
        mpfr_init(r20740);
        mpfr_init(r20741);
        mpfr_init(r20742);
        mpfr_init(r20743);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20708, l, MPFR_RNDN);
        ;
        mpfr_set_si(r20710, mpfr_cmp(r20708, r20709) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20712, n, MPFR_RNDN);
        mpfr_mul(r20713, r20711, r20712, MPFR_RNDN);
        mpfr_set_d(r20714, U, MPFR_RNDN);
        mpfr_mul(r20715, r20713, r20714, MPFR_RNDN);
        mpfr_set_d(r20716, t, MPFR_RNDN);
        mpfr_set_d(r20717, Om, MPFR_RNDN);
        mpfr_div(r20718, r20717, r20708, MPFR_RNDN);
        mpfr_div(r20719, r20708, r20718, MPFR_RNDN);
        mpfr_mul(r20720, r20711, r20719, MPFR_RNDN);
        mpfr_sub(r20721, r20716, r20720, MPFR_RNDN);
        mpfr_div(r20722, r20708, r20717, MPFR_RNDN);
        mpfr_mul(r20723, r20712, r20722, MPFR_RNDN);
        mpfr_set_d(r20724, U_, MPFR_RNDN);
        mpfr_sub(r20725, r20714, r20724, MPFR_RNDN);
        mpfr_mul(r20726, r20722, r20725, MPFR_RNDN);
        mpfr_mul(r20727, r20723, r20726, MPFR_RNDN);
        mpfr_sub(r20728, r20721, r20727, MPFR_RNDN);
        mpfr_mul(r20729, r20715, r20728, MPFR_RNDN);
        mpfr_sqrt(r20730, r20729, MPFR_RNDN);
        ;
        mpfr_set_si(r20732, mpfr_cmp(r20708, r20731) <= 0, MPFR_RNDN);
        mpfr_mul(r20733, r20723, r20722, MPFR_RNDN);
        mpfr_mul(r20734, r20733, r20725, MPFR_RNDN);
        mpfr_sub(r20735, r20721, r20734, MPFR_RNDN);
        mpfr_mul(r20736, r20714, r20735, MPFR_RNDN);
        mpfr_mul(r20737, r20713, r20736, MPFR_RNDN);
        mpfr_sqrt(r20738, r20737, MPFR_RNDN);
        ;
        mpfr_set_si(r20740, mpfr_cmp(r20708, r20739) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r20740, MPFR_RNDN)) { mpfr_set(r20741, r20730, MPFR_RNDN); } else { mpfr_set(r20741, r20738, MPFR_RNDN); };
        if (mpfr_get_si(r20732, MPFR_RNDN)) { mpfr_set(r20742, r20738, MPFR_RNDN); } else { mpfr_set(r20742, r20741, MPFR_RNDN); };
        if (mpfr_get_si(r20710, MPFR_RNDN)) { mpfr_set(r20743, r20730, MPFR_RNDN); } else { mpfr_set(r20743, r20742, MPFR_RNDN); };
        return mpfr_get_d(r20743, MPFR_RNDN);
}

static mpfr_t r20744, r20745, r20746, r20747, r20748, r20749, r20750, r20751, r20752, r20753, r20754, r20755, r20756, r20757, r20758, r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769, r20770, r20771, r20772, r20773, r20774, r20775, r20776, r20777, r20778, r20779;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20744);
        mpfr_init_set_str(r20745, "-1.069539600676056e-57", 10, MPFR_RNDN);
        mpfr_init(r20746);
        mpfr_init_set_str(r20747, "2", 10, MPFR_RNDN);
        mpfr_init(r20748);
        mpfr_init(r20749);
        mpfr_init(r20750);
        mpfr_init(r20751);
        mpfr_init(r20752);
        mpfr_init(r20753);
        mpfr_init(r20754);
        mpfr_init(r20755);
        mpfr_init(r20756);
        mpfr_init(r20757);
        mpfr_init(r20758);
        mpfr_init(r20759);
        mpfr_init(r20760);
        mpfr_init(r20761);
        mpfr_init(r20762);
        mpfr_init(r20763);
        mpfr_init(r20764);
        mpfr_init(r20765);
        mpfr_init(r20766);
        mpfr_init_set_str(r20767, "-1.3283666308883656e-304", 10, MPFR_RNDN);
        mpfr_init(r20768);
        mpfr_init(r20769);
        mpfr_init(r20770);
        mpfr_init(r20771);
        mpfr_init(r20772);
        mpfr_init(r20773);
        mpfr_init(r20774);
        mpfr_init_set_str(r20775, "2.7965540730031745e-190", 10, MPFR_RNDN);
        mpfr_init(r20776);
        mpfr_init(r20777);
        mpfr_init(r20778);
        mpfr_init(r20779);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20744, l, MPFR_RNDN);
        ;
        mpfr_set_si(r20746, mpfr_cmp(r20744, r20745) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20748, n, MPFR_RNDN);
        mpfr_mul(r20749, r20747, r20748, MPFR_RNDN);
        mpfr_set_d(r20750, U, MPFR_RNDN);
        mpfr_mul(r20751, r20749, r20750, MPFR_RNDN);
        mpfr_set_d(r20752, t, MPFR_RNDN);
        mpfr_set_d(r20753, Om, MPFR_RNDN);
        mpfr_div(r20754, r20753, r20744, MPFR_RNDN);
        mpfr_div(r20755, r20744, r20754, MPFR_RNDN);
        mpfr_mul(r20756, r20747, r20755, MPFR_RNDN);
        mpfr_sub(r20757, r20752, r20756, MPFR_RNDN);
        mpfr_div(r20758, r20744, r20753, MPFR_RNDN);
        mpfr_mul(r20759, r20748, r20758, MPFR_RNDN);
        mpfr_set_d(r20760, U_, MPFR_RNDN);
        mpfr_sub(r20761, r20750, r20760, MPFR_RNDN);
        mpfr_mul(r20762, r20758, r20761, MPFR_RNDN);
        mpfr_mul(r20763, r20759, r20762, MPFR_RNDN);
        mpfr_sub(r20764, r20757, r20763, MPFR_RNDN);
        mpfr_mul(r20765, r20751, r20764, MPFR_RNDN);
        mpfr_sqrt(r20766, r20765, MPFR_RNDN);
        ;
        mpfr_set_si(r20768, mpfr_cmp(r20744, r20767) <= 0, MPFR_RNDN);
        mpfr_mul(r20769, r20759, r20758, MPFR_RNDN);
        mpfr_mul(r20770, r20769, r20761, MPFR_RNDN);
        mpfr_sub(r20771, r20757, r20770, MPFR_RNDN);
        mpfr_mul(r20772, r20750, r20771, MPFR_RNDN);
        mpfr_mul(r20773, r20749, r20772, MPFR_RNDN);
        mpfr_sqrt(r20774, r20773, MPFR_RNDN);
        ;
        mpfr_set_si(r20776, mpfr_cmp(r20744, r20775) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r20776, MPFR_RNDN)) { mpfr_set(r20777, r20766, MPFR_RNDN); } else { mpfr_set(r20777, r20774, MPFR_RNDN); };
        if (mpfr_get_si(r20768, MPFR_RNDN)) { mpfr_set(r20778, r20774, MPFR_RNDN); } else { mpfr_set(r20778, r20777, MPFR_RNDN); };
        if (mpfr_get_si(r20746, MPFR_RNDN)) { mpfr_set(r20779, r20766, MPFR_RNDN); } else { mpfr_set(r20779, r20778, MPFR_RNDN); };
        return mpfr_get_d(r20779, MPFR_RNDN);
}

