#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 r15622 = 2.0f;
        float r15623 = n;
        float r15624 = r15622 * r15623;
        float r15625 = U;
        float r15626 = r15624 * r15625;
        float r15627 = t;
        float r15628 = l;
        float r15629 = r15628 * r15628;
        float r15630 = Om;
        float r15631 = r15629 / r15630;
        float r15632 = r15622 * r15631;
        float r15633 = r15627 - r15632;
        float r15634 = r15628 / r15630;
        float r15635 = r15634 * r15634;
        float r15636 = r15623 * r15635;
        float r15637 = U_;
        float r15638 = r15625 - r15637;
        float r15639 = r15636 * r15638;
        float r15640 = r15633 - r15639;
        float r15641 = r15626 * r15640;
        float r15642 = sqrt(r15641);
        return r15642;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15643 = 2.0;
        double r15644 = n;
        double r15645 = r15643 * r15644;
        double r15646 = U;
        double r15647 = r15645 * r15646;
        double r15648 = t;
        double r15649 = l;
        double r15650 = r15649 * r15649;
        double r15651 = Om;
        double r15652 = r15650 / r15651;
        double r15653 = r15643 * r15652;
        double r15654 = r15648 - r15653;
        double r15655 = r15649 / r15651;
        double r15656 = r15655 * r15655;
        double r15657 = r15644 * r15656;
        double r15658 = U_;
        double r15659 = r15646 - r15658;
        double r15660 = r15657 * r15659;
        double r15661 = r15654 - r15660;
        double r15662 = r15647 * r15661;
        double r15663 = sqrt(r15662);
        return r15663;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15664 = U;
        float r15665 = -4.384469066343466e+47f;
        bool r15666 = r15664 <= r15665;
        float r15667 = 2.0f;
        float r15668 = n;
        float r15669 = r15667 * r15668;
        float r15670 = r15669 * r15664;
        float r15671 = t;
        float r15672 = l;
        float r15673 = Om;
        float r15674 = r15673 / r15672;
        float r15675 = r15672 / r15674;
        float r15676 = r15667 * r15675;
        float r15677 = r15671 - r15676;
        float r15678 = r15672 / r15673;
        float r15679 = r15678 * r15678;
        float r15680 = U_;
        float r15681 = r15664 - r15680;
        float r15682 = r15679 * r15681;
        float r15683 = r15668 * r15682;
        float r15684 = r15677 - r15683;
        float r15685 = r15670 * r15684;
        float r15686 = sqrt(r15685);
        float r15687 = 3.131302858948522e-303f;
        bool r15688 = r15664 <= r15687;
        float r15689 = r15668 * r15679;
        float r15690 = r15689 * r15681;
        float r15691 = r15677 - r15690;
        float r15692 = r15664 * r15691;
        float r15693 = r15669 * r15692;
        float r15694 = sqrt(r15693);
        float r15695 = 1.9182403894020948e-146f;
        bool r15696 = r15664 <= r15695;
        float r15697 = 2.993431952201985e+83f;
        bool r15698 = r15664 <= r15697;
        float r15699 = r15670 * r15691;
        float r15700 = sqrt(r15699);
        float r15701 = sqrt(r15700);
        float r15702 = r15701 * r15701;
        float r15703 = r15698 ? r15694 : r15702;
        float r15704 = r15696 ? r15686 : r15703;
        float r15705 = r15688 ? r15694 : r15704;
        float r15706 = r15666 ? r15686 : r15705;
        return r15706;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15707 = U;
        double r15708 = -4.384469066343466e+47;
        bool r15709 = r15707 <= r15708;
        double r15710 = 2.0;
        double r15711 = n;
        double r15712 = r15710 * r15711;
        double r15713 = r15712 * r15707;
        double r15714 = t;
        double r15715 = l;
        double r15716 = Om;
        double r15717 = r15716 / r15715;
        double r15718 = r15715 / r15717;
        double r15719 = r15710 * r15718;
        double r15720 = r15714 - r15719;
        double r15721 = r15715 / r15716;
        double r15722 = r15721 * r15721;
        double r15723 = U_;
        double r15724 = r15707 - r15723;
        double r15725 = r15722 * r15724;
        double r15726 = r15711 * r15725;
        double r15727 = r15720 - r15726;
        double r15728 = r15713 * r15727;
        double r15729 = sqrt(r15728);
        double r15730 = 3.131302858948522e-303;
        bool r15731 = r15707 <= r15730;
        double r15732 = r15711 * r15722;
        double r15733 = r15732 * r15724;
        double r15734 = r15720 - r15733;
        double r15735 = r15707 * r15734;
        double r15736 = r15712 * r15735;
        double r15737 = sqrt(r15736);
        double r15738 = 1.9182403894020948e-146;
        bool r15739 = r15707 <= r15738;
        double r15740 = 2.993431952201985e+83;
        bool r15741 = r15707 <= r15740;
        double r15742 = r15713 * r15734;
        double r15743 = sqrt(r15742);
        double r15744 = sqrt(r15743);
        double r15745 = r15744 * r15744;
        double r15746 = r15741 ? r15737 : r15745;
        double r15747 = r15739 ? r15729 : r15746;
        double r15748 = r15731 ? r15737 : r15747;
        double r15749 = r15709 ? r15729 : r15748;
        return r15749;
}

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 r15750, r15751, r15752, r15753, r15754, r15755, r15756, r15757, r15758, r15759, r15760, r15761, r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769, r15770;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15750, "2", 10, MPFR_RNDN);
        mpfr_init(r15751);
        mpfr_init(r15752);
        mpfr_init(r15753);
        mpfr_init(r15754);
        mpfr_init(r15755);
        mpfr_init(r15756);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15751, n, MPFR_RNDN);
        mpfr_mul(r15752, r15750, r15751, MPFR_RNDN);
        mpfr_set_d(r15753, U, MPFR_RNDN);
        mpfr_mul(r15754, r15752, r15753, MPFR_RNDN);
        mpfr_set_d(r15755, t, MPFR_RNDN);
        mpfr_set_d(r15756, l, MPFR_RNDN);
        mpfr_sqr(r15757, r15756, MPFR_RNDN);
        mpfr_set_d(r15758, Om, MPFR_RNDN);
        mpfr_div(r15759, r15757, r15758, MPFR_RNDN);
        mpfr_mul(r15760, r15750, r15759, MPFR_RNDN);
        mpfr_sub(r15761, r15755, r15760, MPFR_RNDN);
        mpfr_div(r15762, r15756, r15758, MPFR_RNDN);
        mpfr_sqr(r15763, r15762, MPFR_RNDN);
        mpfr_mul(r15764, r15751, r15763, MPFR_RNDN);
        mpfr_set_d(r15765, U_, MPFR_RNDN);
        mpfr_sub(r15766, r15753, r15765, MPFR_RNDN);
        mpfr_mul(r15767, r15764, r15766, MPFR_RNDN);
        mpfr_sub(r15768, r15761, r15767, MPFR_RNDN);
        mpfr_mul(r15769, r15754, r15768, MPFR_RNDN);
        mpfr_sqrt(r15770, r15769, MPFR_RNDN);
        return mpfr_get_d(r15770, MPFR_RNDN);
}

static mpfr_t r15771, r15772, r15773, r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15771);
        mpfr_init_set_str(r15772, "-4.384469066343466e+47", 10, MPFR_RNDN);
        mpfr_init(r15773);
        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_set_str(r15794, "3.131302858948522e-303", 10, MPFR_RNDN);
        mpfr_init(r15795);
        mpfr_init(r15796);
        mpfr_init(r15797);
        mpfr_init(r15798);
        mpfr_init(r15799);
        mpfr_init(r15800);
        mpfr_init(r15801);
        mpfr_init_set_str(r15802, "1.9182403894020948e-146", 10, MPFR_RNDN);
        mpfr_init(r15803);
        mpfr_init_set_str(r15804, "2.993431952201985e+83", 10, MPFR_RNDN);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15771, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15773, mpfr_cmp(r15771, r15772) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15775, n, MPFR_RNDN);
        mpfr_mul(r15776, r15774, r15775, MPFR_RNDN);
        mpfr_mul(r15777, r15776, r15771, MPFR_RNDN);
        mpfr_set_d(r15778, t, MPFR_RNDN);
        mpfr_set_d(r15779, l, MPFR_RNDN);
        mpfr_set_d(r15780, Om, MPFR_RNDN);
        mpfr_div(r15781, r15780, r15779, MPFR_RNDN);
        mpfr_div(r15782, r15779, r15781, MPFR_RNDN);
        mpfr_mul(r15783, r15774, r15782, MPFR_RNDN);
        mpfr_sub(r15784, r15778, r15783, MPFR_RNDN);
        mpfr_div(r15785, r15779, r15780, MPFR_RNDN);
        mpfr_sqr(r15786, r15785, MPFR_RNDN);
        mpfr_set_d(r15787, U_, MPFR_RNDN);
        mpfr_sub(r15788, r15771, r15787, MPFR_RNDN);
        mpfr_mul(r15789, r15786, r15788, MPFR_RNDN);
        mpfr_mul(r15790, r15775, r15789, MPFR_RNDN);
        mpfr_sub(r15791, r15784, r15790, MPFR_RNDN);
        mpfr_mul(r15792, r15777, r15791, MPFR_RNDN);
        mpfr_sqrt(r15793, r15792, MPFR_RNDN);
        ;
        mpfr_set_si(r15795, mpfr_cmp(r15771, r15794) <= 0, MPFR_RNDN);
        mpfr_mul(r15796, r15775, r15786, MPFR_RNDN);
        mpfr_mul(r15797, r15796, r15788, MPFR_RNDN);
        mpfr_sub(r15798, r15784, r15797, MPFR_RNDN);
        mpfr_mul(r15799, r15771, r15798, MPFR_RNDN);
        mpfr_mul(r15800, r15776, r15799, MPFR_RNDN);
        mpfr_sqrt(r15801, r15800, MPFR_RNDN);
        ;
        mpfr_set_si(r15803, mpfr_cmp(r15771, r15802) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r15805, mpfr_cmp(r15771, r15804) <= 0, MPFR_RNDN);
        mpfr_mul(r15806, r15777, r15798, MPFR_RNDN);
        mpfr_sqrt(r15807, r15806, MPFR_RNDN);
        mpfr_sqrt(r15808, r15807, MPFR_RNDN);
        mpfr_sqr(r15809, r15808, MPFR_RNDN);
        if (mpfr_get_si(r15805, MPFR_RNDN)) { mpfr_set(r15810, r15801, MPFR_RNDN); } else { mpfr_set(r15810, r15809, MPFR_RNDN); };
        if (mpfr_get_si(r15803, MPFR_RNDN)) { mpfr_set(r15811, r15793, MPFR_RNDN); } else { mpfr_set(r15811, r15810, MPFR_RNDN); };
        if (mpfr_get_si(r15795, MPFR_RNDN)) { mpfr_set(r15812, r15801, MPFR_RNDN); } else { mpfr_set(r15812, r15811, MPFR_RNDN); };
        if (mpfr_get_si(r15773, MPFR_RNDN)) { mpfr_set(r15813, r15793, MPFR_RNDN); } else { mpfr_set(r15813, r15812, MPFR_RNDN); };
        return mpfr_get_d(r15813, MPFR_RNDN);
}

static mpfr_t r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15814);
        mpfr_init_set_str(r15815, "-4.384469066343466e+47", 10, MPFR_RNDN);
        mpfr_init(r15816);
        mpfr_init_set_str(r15817, "2", 10, MPFR_RNDN);
        mpfr_init(r15818);
        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(r15832);
        mpfr_init(r15833);
        mpfr_init(r15834);
        mpfr_init(r15835);
        mpfr_init(r15836);
        mpfr_init_set_str(r15837, "3.131302858948522e-303", 10, MPFR_RNDN);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init(r15844);
        mpfr_init_set_str(r15845, "1.9182403894020948e-146", 10, MPFR_RNDN);
        mpfr_init(r15846);
        mpfr_init_set_str(r15847, "2.993431952201985e+83", 10, MPFR_RNDN);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15814, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15816, mpfr_cmp(r15814, r15815) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15818, n, MPFR_RNDN);
        mpfr_mul(r15819, r15817, r15818, MPFR_RNDN);
        mpfr_mul(r15820, r15819, r15814, MPFR_RNDN);
        mpfr_set_d(r15821, t, MPFR_RNDN);
        mpfr_set_d(r15822, l, MPFR_RNDN);
        mpfr_set_d(r15823, Om, MPFR_RNDN);
        mpfr_div(r15824, r15823, r15822, MPFR_RNDN);
        mpfr_div(r15825, r15822, r15824, MPFR_RNDN);
        mpfr_mul(r15826, r15817, r15825, MPFR_RNDN);
        mpfr_sub(r15827, r15821, r15826, MPFR_RNDN);
        mpfr_div(r15828, r15822, r15823, MPFR_RNDN);
        mpfr_sqr(r15829, r15828, MPFR_RNDN);
        mpfr_set_d(r15830, U_, MPFR_RNDN);
        mpfr_sub(r15831, r15814, r15830, MPFR_RNDN);
        mpfr_mul(r15832, r15829, r15831, MPFR_RNDN);
        mpfr_mul(r15833, r15818, r15832, MPFR_RNDN);
        mpfr_sub(r15834, r15827, r15833, MPFR_RNDN);
        mpfr_mul(r15835, r15820, r15834, MPFR_RNDN);
        mpfr_sqrt(r15836, r15835, MPFR_RNDN);
        ;
        mpfr_set_si(r15838, mpfr_cmp(r15814, r15837) <= 0, MPFR_RNDN);
        mpfr_mul(r15839, r15818, r15829, MPFR_RNDN);
        mpfr_mul(r15840, r15839, r15831, MPFR_RNDN);
        mpfr_sub(r15841, r15827, r15840, MPFR_RNDN);
        mpfr_mul(r15842, r15814, r15841, MPFR_RNDN);
        mpfr_mul(r15843, r15819, r15842, MPFR_RNDN);
        mpfr_sqrt(r15844, r15843, MPFR_RNDN);
        ;
        mpfr_set_si(r15846, mpfr_cmp(r15814, r15845) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r15848, mpfr_cmp(r15814, r15847) <= 0, MPFR_RNDN);
        mpfr_mul(r15849, r15820, r15841, MPFR_RNDN);
        mpfr_sqrt(r15850, r15849, MPFR_RNDN);
        mpfr_sqrt(r15851, r15850, MPFR_RNDN);
        mpfr_sqr(r15852, r15851, MPFR_RNDN);
        if (mpfr_get_si(r15848, MPFR_RNDN)) { mpfr_set(r15853, r15844, MPFR_RNDN); } else { mpfr_set(r15853, r15852, MPFR_RNDN); };
        if (mpfr_get_si(r15846, MPFR_RNDN)) { mpfr_set(r15854, r15836, MPFR_RNDN); } else { mpfr_set(r15854, r15853, MPFR_RNDN); };
        if (mpfr_get_si(r15838, MPFR_RNDN)) { mpfr_set(r15855, r15844, MPFR_RNDN); } else { mpfr_set(r15855, r15854, MPFR_RNDN); };
        if (mpfr_get_si(r15816, MPFR_RNDN)) { mpfr_set(r15856, r15836, MPFR_RNDN); } else { mpfr_set(r15856, r15855, MPFR_RNDN); };
        return mpfr_get_d(r15856, MPFR_RNDN);
}