#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 r15630 = 2.0f;
        float r15631 = n;
        float r15632 = r15630 * r15631;
        float r15633 = U;
        float r15634 = r15632 * r15633;
        float r15635 = t;
        float r15636 = l;
        float r15637 = r15636 * r15636;
        float r15638 = Om;
        float r15639 = r15637 / r15638;
        float r15640 = r15630 * r15639;
        float r15641 = r15635 - r15640;
        float r15642 = r15636 / r15638;
        float r15643 = r15642 * r15642;
        float r15644 = r15631 * r15643;
        float r15645 = U_;
        float r15646 = r15633 - r15645;
        float r15647 = r15644 * r15646;
        float r15648 = r15641 - r15647;
        float r15649 = r15634 * r15648;
        float r15650 = sqrt(r15649);
        return r15650;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15651 = 2.0;
        double r15652 = n;
        double r15653 = r15651 * r15652;
        double r15654 = U;
        double r15655 = r15653 * r15654;
        double r15656 = t;
        double r15657 = l;
        double r15658 = r15657 * r15657;
        double r15659 = Om;
        double r15660 = r15658 / r15659;
        double r15661 = r15651 * r15660;
        double r15662 = r15656 - r15661;
        double r15663 = r15657 / r15659;
        double r15664 = r15663 * r15663;
        double r15665 = r15652 * r15664;
        double r15666 = U_;
        double r15667 = r15654 - r15666;
        double r15668 = r15665 * r15667;
        double r15669 = r15662 - r15668;
        double r15670 = r15655 * r15669;
        double r15671 = sqrt(r15670);
        return r15671;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15672 = U;
        float r15673 = -4.384469066343466e+47f;
        bool r15674 = r15672 <= r15673;
        float r15675 = 2.0f;
        float r15676 = n;
        float r15677 = r15675 * r15676;
        float r15678 = r15677 * r15672;
        float r15679 = t;
        float r15680 = l;
        float r15681 = Om;
        float r15682 = r15681 / r15680;
        float r15683 = r15680 / r15682;
        float r15684 = r15675 * r15683;
        float r15685 = r15679 - r15684;
        float r15686 = r15680 / r15681;
        float r15687 = r15686 * r15686;
        float r15688 = U_;
        float r15689 = r15672 - r15688;
        float r15690 = r15687 * r15689;
        float r15691 = r15676 * r15690;
        float r15692 = r15685 - r15691;
        float r15693 = r15678 * r15692;
        float r15694 = sqrt(r15693);
        float r15695 = 3.131302858948522e-303f;
        bool r15696 = r15672 <= r15695;
        float r15697 = r15676 * r15687;
        float r15698 = r15697 * r15689;
        float r15699 = r15685 - r15698;
        float r15700 = r15672 * r15699;
        float r15701 = r15677 * r15700;
        float r15702 = sqrt(r15701);
        float r15703 = 1.9182403894020948e-146f;
        bool r15704 = r15672 <= r15703;
        float r15705 = 2.993431952201985e+83f;
        bool r15706 = r15672 <= r15705;
        float r15707 = r15678 * r15699;
        float r15708 = sqrt(r15707);
        float r15709 = sqrt(r15708);
        float r15710 = r15709 * r15709;
        float r15711 = r15706 ? r15702 : r15710;
        float r15712 = r15704 ? r15694 : r15711;
        float r15713 = r15696 ? r15702 : r15712;
        float r15714 = r15674 ? r15694 : r15713;
        return r15714;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15715 = U;
        double r15716 = -4.384469066343466e+47;
        bool r15717 = r15715 <= r15716;
        double r15718 = 2.0;
        double r15719 = n;
        double r15720 = r15718 * r15719;
        double r15721 = r15720 * r15715;
        double r15722 = t;
        double r15723 = l;
        double r15724 = Om;
        double r15725 = r15724 / r15723;
        double r15726 = r15723 / r15725;
        double r15727 = r15718 * r15726;
        double r15728 = r15722 - r15727;
        double r15729 = r15723 / r15724;
        double r15730 = r15729 * r15729;
        double r15731 = U_;
        double r15732 = r15715 - r15731;
        double r15733 = r15730 * r15732;
        double r15734 = r15719 * r15733;
        double r15735 = r15728 - r15734;
        double r15736 = r15721 * r15735;
        double r15737 = sqrt(r15736);
        double r15738 = 3.131302858948522e-303;
        bool r15739 = r15715 <= r15738;
        double r15740 = r15719 * r15730;
        double r15741 = r15740 * r15732;
        double r15742 = r15728 - r15741;
        double r15743 = r15715 * r15742;
        double r15744 = r15720 * r15743;
        double r15745 = sqrt(r15744);
        double r15746 = 1.9182403894020948e-146;
        bool r15747 = r15715 <= r15746;
        double r15748 = 2.993431952201985e+83;
        bool r15749 = r15715 <= r15748;
        double r15750 = r15721 * r15742;
        double r15751 = sqrt(r15750);
        double r15752 = sqrt(r15751);
        double r15753 = r15752 * r15752;
        double r15754 = r15749 ? r15745 : r15753;
        double r15755 = r15747 ? r15737 : r15754;
        double r15756 = r15739 ? r15745 : r15755;
        double r15757 = r15717 ? r15737 : r15756;
        return r15757;
}

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 r15758, r15759, r15760, r15761, r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769, r15770, r15771, r15772, r15773, r15774, r15775, r15776, r15777, r15778;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15758, "2", 10, MPFR_RNDN);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15759, n, MPFR_RNDN);
        mpfr_mul(r15760, r15758, r15759, MPFR_RNDN);
        mpfr_set_d(r15761, U, MPFR_RNDN);
        mpfr_mul(r15762, r15760, r15761, MPFR_RNDN);
        mpfr_set_d(r15763, t, MPFR_RNDN);
        mpfr_set_d(r15764, l, MPFR_RNDN);
        mpfr_sqr(r15765, r15764, MPFR_RNDN);
        mpfr_set_d(r15766, Om, MPFR_RNDN);
        mpfr_div(r15767, r15765, r15766, MPFR_RNDN);
        mpfr_mul(r15768, r15758, r15767, MPFR_RNDN);
        mpfr_sub(r15769, r15763, r15768, MPFR_RNDN);
        mpfr_div(r15770, r15764, r15766, MPFR_RNDN);
        mpfr_sqr(r15771, r15770, MPFR_RNDN);
        mpfr_mul(r15772, r15759, r15771, MPFR_RNDN);
        mpfr_set_d(r15773, U_, MPFR_RNDN);
        mpfr_sub(r15774, r15761, r15773, MPFR_RNDN);
        mpfr_mul(r15775, r15772, r15774, MPFR_RNDN);
        mpfr_sub(r15776, r15769, r15775, MPFR_RNDN);
        mpfr_mul(r15777, r15762, r15776, MPFR_RNDN);
        mpfr_sqrt(r15778, r15777, MPFR_RNDN);
        return mpfr_get_d(r15778, MPFR_RNDN);
}

static mpfr_t 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, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15779);
        mpfr_init_set_str(r15780, "-4.384469066343466e+47", 10, MPFR_RNDN);
        mpfr_init(r15781);
        mpfr_init_set_str(r15782, "2", 10, MPFR_RNDN);
        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(r15794);
        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, "3.131302858948522e-303", 10, MPFR_RNDN);
        mpfr_init(r15803);
        mpfr_init(r15804);
        mpfr_init(r15805);
        mpfr_init(r15806);
        mpfr_init(r15807);
        mpfr_init(r15808);
        mpfr_init(r15809);
        mpfr_init_set_str(r15810, "1.9182403894020948e-146", 10, MPFR_RNDN);
        mpfr_init(r15811);
        mpfr_init_set_str(r15812, "2.993431952201985e+83", 10, MPFR_RNDN);
        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(r15821);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15779, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15781, mpfr_cmp(r15779, r15780) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15783, n, MPFR_RNDN);
        mpfr_mul(r15784, r15782, r15783, MPFR_RNDN);
        mpfr_mul(r15785, r15784, r15779, MPFR_RNDN);
        mpfr_set_d(r15786, t, MPFR_RNDN);
        mpfr_set_d(r15787, l, MPFR_RNDN);
        mpfr_set_d(r15788, Om, MPFR_RNDN);
        mpfr_div(r15789, r15788, r15787, MPFR_RNDN);
        mpfr_div(r15790, r15787, r15789, MPFR_RNDN);
        mpfr_mul(r15791, r15782, r15790, MPFR_RNDN);
        mpfr_sub(r15792, r15786, r15791, MPFR_RNDN);
        mpfr_div(r15793, r15787, r15788, MPFR_RNDN);
        mpfr_sqr(r15794, r15793, MPFR_RNDN);
        mpfr_set_d(r15795, U_, MPFR_RNDN);
        mpfr_sub(r15796, r15779, r15795, MPFR_RNDN);
        mpfr_mul(r15797, r15794, r15796, MPFR_RNDN);
        mpfr_mul(r15798, r15783, r15797, MPFR_RNDN);
        mpfr_sub(r15799, r15792, r15798, MPFR_RNDN);
        mpfr_mul(r15800, r15785, r15799, MPFR_RNDN);
        mpfr_sqrt(r15801, r15800, MPFR_RNDN);
        ;
        mpfr_set_si(r15803, mpfr_cmp(r15779, r15802) <= 0, MPFR_RNDN);
        mpfr_mul(r15804, r15783, r15794, MPFR_RNDN);
        mpfr_mul(r15805, r15804, r15796, MPFR_RNDN);
        mpfr_sub(r15806, r15792, r15805, MPFR_RNDN);
        mpfr_mul(r15807, r15779, r15806, MPFR_RNDN);
        mpfr_mul(r15808, r15784, r15807, MPFR_RNDN);
        mpfr_sqrt(r15809, r15808, MPFR_RNDN);
        ;
        mpfr_set_si(r15811, mpfr_cmp(r15779, r15810) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r15813, mpfr_cmp(r15779, r15812) <= 0, MPFR_RNDN);
        mpfr_mul(r15814, r15785, r15806, MPFR_RNDN);
        mpfr_sqrt(r15815, r15814, MPFR_RNDN);
        mpfr_sqrt(r15816, r15815, MPFR_RNDN);
        mpfr_sqr(r15817, r15816, MPFR_RNDN);
        if (mpfr_get_si(r15813, MPFR_RNDN)) { mpfr_set(r15818, r15809, MPFR_RNDN); } else { mpfr_set(r15818, r15817, MPFR_RNDN); };
        if (mpfr_get_si(r15811, MPFR_RNDN)) { mpfr_set(r15819, r15801, MPFR_RNDN); } else { mpfr_set(r15819, r15818, MPFR_RNDN); };
        if (mpfr_get_si(r15803, MPFR_RNDN)) { mpfr_set(r15820, r15809, MPFR_RNDN); } else { mpfr_set(r15820, r15819, MPFR_RNDN); };
        if (mpfr_get_si(r15781, MPFR_RNDN)) { mpfr_set(r15821, r15801, MPFR_RNDN); } else { mpfr_set(r15821, r15820, MPFR_RNDN); };
        return mpfr_get_d(r15821, MPFR_RNDN);
}

static mpfr_t 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, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15822);
        mpfr_init_set_str(r15823, "-4.384469066343466e+47", 10, MPFR_RNDN);
        mpfr_init(r15824);
        mpfr_init_set_str(r15825, "2", 10, MPFR_RNDN);
        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(r15837);
        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, "3.131302858948522e-303", 10, MPFR_RNDN);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init_set_str(r15853, "1.9182403894020948e-146", 10, MPFR_RNDN);
        mpfr_init(r15854);
        mpfr_init_set_str(r15855, "2.993431952201985e+83", 10, MPFR_RNDN);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init(r15861);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15822, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15824, mpfr_cmp(r15822, r15823) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15826, n, MPFR_RNDN);
        mpfr_mul(r15827, r15825, r15826, MPFR_RNDN);
        mpfr_mul(r15828, r15827, r15822, MPFR_RNDN);
        mpfr_set_d(r15829, t, MPFR_RNDN);
        mpfr_set_d(r15830, l, MPFR_RNDN);
        mpfr_set_d(r15831, Om, MPFR_RNDN);
        mpfr_div(r15832, r15831, r15830, MPFR_RNDN);
        mpfr_div(r15833, r15830, r15832, MPFR_RNDN);
        mpfr_mul(r15834, r15825, r15833, MPFR_RNDN);
        mpfr_sub(r15835, r15829, r15834, MPFR_RNDN);
        mpfr_div(r15836, r15830, r15831, MPFR_RNDN);
        mpfr_sqr(r15837, r15836, MPFR_RNDN);
        mpfr_set_d(r15838, U_, MPFR_RNDN);
        mpfr_sub(r15839, r15822, r15838, MPFR_RNDN);
        mpfr_mul(r15840, r15837, r15839, MPFR_RNDN);
        mpfr_mul(r15841, r15826, r15840, MPFR_RNDN);
        mpfr_sub(r15842, r15835, r15841, MPFR_RNDN);
        mpfr_mul(r15843, r15828, r15842, MPFR_RNDN);
        mpfr_sqrt(r15844, r15843, MPFR_RNDN);
        ;
        mpfr_set_si(r15846, mpfr_cmp(r15822, r15845) <= 0, MPFR_RNDN);
        mpfr_mul(r15847, r15826, r15837, MPFR_RNDN);
        mpfr_mul(r15848, r15847, r15839, MPFR_RNDN);
        mpfr_sub(r15849, r15835, r15848, MPFR_RNDN);
        mpfr_mul(r15850, r15822, r15849, MPFR_RNDN);
        mpfr_mul(r15851, r15827, r15850, MPFR_RNDN);
        mpfr_sqrt(r15852, r15851, MPFR_RNDN);
        ;
        mpfr_set_si(r15854, mpfr_cmp(r15822, r15853) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r15856, mpfr_cmp(r15822, r15855) <= 0, MPFR_RNDN);
        mpfr_mul(r15857, r15828, r15849, MPFR_RNDN);
        mpfr_sqrt(r15858, r15857, MPFR_RNDN);
        mpfr_sqrt(r15859, r15858, MPFR_RNDN);
        mpfr_sqr(r15860, r15859, MPFR_RNDN);
        if (mpfr_get_si(r15856, MPFR_RNDN)) { mpfr_set(r15861, r15852, MPFR_RNDN); } else { mpfr_set(r15861, r15860, MPFR_RNDN); };
        if (mpfr_get_si(r15854, MPFR_RNDN)) { mpfr_set(r15862, r15844, MPFR_RNDN); } else { mpfr_set(r15862, r15861, MPFR_RNDN); };
        if (mpfr_get_si(r15846, MPFR_RNDN)) { mpfr_set(r15863, r15852, MPFR_RNDN); } else { mpfr_set(r15863, r15862, MPFR_RNDN); };
        if (mpfr_get_si(r15824, MPFR_RNDN)) { mpfr_set(r15864, r15844, MPFR_RNDN); } else { mpfr_set(r15864, r15863, MPFR_RNDN); };
        return mpfr_get_d(r15864, MPFR_RNDN);
}