#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 r15658 = 2.0f;
        float r15659 = n;
        float r15660 = r15658 * r15659;
        float r15661 = U;
        float r15662 = r15660 * r15661;
        float r15663 = t;
        float r15664 = l;
        float r15665 = r15664 * r15664;
        float r15666 = Om;
        float r15667 = r15665 / r15666;
        float r15668 = r15658 * r15667;
        float r15669 = r15663 - r15668;
        float r15670 = r15664 / r15666;
        float r15671 = r15670 * r15670;
        float r15672 = r15659 * r15671;
        float r15673 = U_;
        float r15674 = r15661 - r15673;
        float r15675 = r15672 * r15674;
        float r15676 = r15669 - r15675;
        float r15677 = r15662 * r15676;
        float r15678 = sqrt(r15677);
        return r15678;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15679 = 2.0;
        double r15680 = n;
        double r15681 = r15679 * r15680;
        double r15682 = U;
        double r15683 = r15681 * r15682;
        double r15684 = t;
        double r15685 = l;
        double r15686 = r15685 * r15685;
        double r15687 = Om;
        double r15688 = r15686 / r15687;
        double r15689 = r15679 * r15688;
        double r15690 = r15684 - r15689;
        double r15691 = r15685 / r15687;
        double r15692 = r15691 * r15691;
        double r15693 = r15680 * r15692;
        double r15694 = U_;
        double r15695 = r15682 - r15694;
        double r15696 = r15693 * r15695;
        double r15697 = r15690 - r15696;
        double r15698 = r15683 * r15697;
        double r15699 = sqrt(r15698);
        return r15699;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15700 = 2.0f;
        float r15701 = n;
        float r15702 = r15700 * r15701;
        float r15703 = U;
        float r15704 = r15702 * r15703;
        float r15705 = t;
        float r15706 = l;
        float r15707 = r15706 * r15706;
        float r15708 = Om;
        float r15709 = r15707 / r15708;
        float r15710 = r15700 * r15709;
        float r15711 = r15705 - r15710;
        float r15712 = r15706 / r15708;
        float r15713 = r15712 * r15712;
        float r15714 = r15701 * r15713;
        float r15715 = U_;
        float r15716 = r15703 - r15715;
        float r15717 = r15714 * r15716;
        float r15718 = r15711 - r15717;
        float r15719 = r15704 * r15718;
        float r15720 = 8.171527690614688e-12f;
        bool r15721 = r15719 <= r15720;
        float r15722 = r15708 / r15706;
        float r15723 = r15706 / r15722;
        float r15724 = r15700 * r15723;
        float r15725 = r15705 - r15724;
        float r15726 = r15725 - r15717;
        float r15727 = r15703 * r15726;
        float r15728 = r15702 * r15727;
        float r15729 = sqrt(r15728);
        float r15730 = +inf.0f;
        bool r15731 = r15719 <= r15730;
        float r15732 = r15701 * r15712;
        float r15733 = r15732 * r15712;
        float r15734 = r15733 * r15716;
        float r15735 = r15725 - r15734;
        float r15736 = r15704 * r15735;
        float r15737 = sqrt(r15736);
        float r15738 = r15731 ? r15737 : r15729;
        float r15739 = r15721 ? r15729 : r15738;
        return r15739;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15740 = 2.0;
        double r15741 = n;
        double r15742 = r15740 * r15741;
        double r15743 = U;
        double r15744 = r15742 * r15743;
        double r15745 = t;
        double r15746 = l;
        double r15747 = r15746 * r15746;
        double r15748 = Om;
        double r15749 = r15747 / r15748;
        double r15750 = r15740 * r15749;
        double r15751 = r15745 - r15750;
        double r15752 = r15746 / r15748;
        double r15753 = r15752 * r15752;
        double r15754 = r15741 * r15753;
        double r15755 = U_;
        double r15756 = r15743 - r15755;
        double r15757 = r15754 * r15756;
        double r15758 = r15751 - r15757;
        double r15759 = r15744 * r15758;
        double r15760 = 8.171527690614688e-12;
        bool r15761 = r15759 <= r15760;
        double r15762 = r15748 / r15746;
        double r15763 = r15746 / r15762;
        double r15764 = r15740 * r15763;
        double r15765 = r15745 - r15764;
        double r15766 = r15765 - r15757;
        double r15767 = r15743 * r15766;
        double r15768 = r15742 * r15767;
        double r15769 = sqrt(r15768);
        double r15770 = +inf.0;
        bool r15771 = r15759 <= r15770;
        double r15772 = r15741 * r15752;
        double r15773 = r15772 * r15752;
        double r15774 = r15773 * r15756;
        double r15775 = r15765 - r15774;
        double r15776 = r15744 * r15775;
        double r15777 = sqrt(r15776);
        double r15778 = r15771 ? r15777 : r15769;
        double r15779 = r15761 ? r15769 : r15778;
        return r15779;
}

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 r15780, r15781, r15782, r15783, r15784, r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796, r15797, r15798, r15799, r15800;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15780, "2", 10, MPFR_RNDN);
        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(r15794);
        mpfr_init(r15795);
        mpfr_init(r15796);
        mpfr_init(r15797);
        mpfr_init(r15798);
        mpfr_init(r15799);
        mpfr_init(r15800);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15781, n, MPFR_RNDN);
        mpfr_mul(r15782, r15780, r15781, MPFR_RNDN);
        mpfr_set_d(r15783, U, MPFR_RNDN);
        mpfr_mul(r15784, r15782, r15783, MPFR_RNDN);
        mpfr_set_d(r15785, t, MPFR_RNDN);
        mpfr_set_d(r15786, l, MPFR_RNDN);
        mpfr_sqr(r15787, r15786, MPFR_RNDN);
        mpfr_set_d(r15788, Om, MPFR_RNDN);
        mpfr_div(r15789, r15787, r15788, MPFR_RNDN);
        mpfr_mul(r15790, r15780, r15789, MPFR_RNDN);
        mpfr_sub(r15791, r15785, r15790, MPFR_RNDN);
        mpfr_div(r15792, r15786, r15788, MPFR_RNDN);
        mpfr_sqr(r15793, r15792, MPFR_RNDN);
        mpfr_mul(r15794, r15781, r15793, MPFR_RNDN);
        mpfr_set_d(r15795, U_, MPFR_RNDN);
        mpfr_sub(r15796, r15783, r15795, MPFR_RNDN);
        mpfr_mul(r15797, r15794, r15796, MPFR_RNDN);
        mpfr_sub(r15798, r15791, r15797, MPFR_RNDN);
        mpfr_mul(r15799, r15784, r15798, MPFR_RNDN);
        mpfr_sqrt(r15800, r15799, MPFR_RNDN);
        return mpfr_get_d(r15800, MPFR_RNDN);
}

static mpfr_t r15801, r15802, r15803, r15804, r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15801, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15817);
        mpfr_init(r15818);
        mpfr_init(r15819);
        mpfr_init(r15820);
        mpfr_init_set_str(r15821, "8.171528f-12", 10, MPFR_RNDN);
        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_set_str(r15831, "+inf.f", 10, MPFR_RNDN);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15802, n, MPFR_RNDN);
        mpfr_mul(r15803, r15801, r15802, MPFR_RNDN);
        mpfr_set_d(r15804, U, MPFR_RNDN);
        mpfr_mul(r15805, r15803, r15804, MPFR_RNDN);
        mpfr_set_d(r15806, t, MPFR_RNDN);
        mpfr_set_d(r15807, l, MPFR_RNDN);
        mpfr_sqr(r15808, r15807, MPFR_RNDN);
        mpfr_set_d(r15809, Om, MPFR_RNDN);
        mpfr_div(r15810, r15808, r15809, MPFR_RNDN);
        mpfr_mul(r15811, r15801, r15810, MPFR_RNDN);
        mpfr_sub(r15812, r15806, r15811, MPFR_RNDN);
        mpfr_div(r15813, r15807, r15809, MPFR_RNDN);
        mpfr_sqr(r15814, r15813, MPFR_RNDN);
        mpfr_mul(r15815, r15802, r15814, MPFR_RNDN);
        mpfr_set_d(r15816, U_, MPFR_RNDN);
        mpfr_sub(r15817, r15804, r15816, MPFR_RNDN);
        mpfr_mul(r15818, r15815, r15817, MPFR_RNDN);
        mpfr_sub(r15819, r15812, r15818, MPFR_RNDN);
        mpfr_mul(r15820, r15805, r15819, MPFR_RNDN);
        ;
        mpfr_set_si(r15822, mpfr_cmp(r15820, r15821) <= 0, MPFR_RNDN);
        mpfr_div(r15823, r15809, r15807, MPFR_RNDN);
        mpfr_div(r15824, r15807, r15823, MPFR_RNDN);
        mpfr_mul(r15825, r15801, r15824, MPFR_RNDN);
        mpfr_sub(r15826, r15806, r15825, MPFR_RNDN);
        mpfr_sub(r15827, r15826, r15818, MPFR_RNDN);
        mpfr_mul(r15828, r15804, r15827, MPFR_RNDN);
        mpfr_mul(r15829, r15803, r15828, MPFR_RNDN);
        mpfr_sqrt(r15830, r15829, MPFR_RNDN);
        ;
        mpfr_set_si(r15832, mpfr_cmp(r15820, r15831) <= 0, MPFR_RNDN);
        mpfr_mul(r15833, r15802, r15813, MPFR_RNDN);
        mpfr_mul(r15834, r15833, r15813, MPFR_RNDN);
        mpfr_mul(r15835, r15834, r15817, MPFR_RNDN);
        mpfr_sub(r15836, r15826, r15835, MPFR_RNDN);
        mpfr_mul(r15837, r15805, r15836, MPFR_RNDN);
        mpfr_sqrt(r15838, r15837, MPFR_RNDN);
        if (mpfr_get_si(r15832, MPFR_RNDN)) { mpfr_set(r15839, r15838, MPFR_RNDN); } else { mpfr_set(r15839, r15830, MPFR_RNDN); };
        if (mpfr_get_si(r15822, MPFR_RNDN)) { mpfr_set(r15840, r15830, MPFR_RNDN); } else { mpfr_set(r15840, r15839, MPFR_RNDN); };
        return mpfr_get_d(r15840, MPFR_RNDN);
}

static mpfr_t r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15841, "2", 10, MPFR_RNDN);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init(r15844);
        mpfr_init(r15845);
        mpfr_init(r15846);
        mpfr_init(r15847);
        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);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init_set_str(r15861, "8.171528f-12", 10, MPFR_RNDN);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
        mpfr_init(r15865);
        mpfr_init(r15866);
        mpfr_init(r15867);
        mpfr_init(r15868);
        mpfr_init(r15869);
        mpfr_init(r15870);
        mpfr_init_set_str(r15871, "+inf.f", 10, MPFR_RNDN);
        mpfr_init(r15872);
        mpfr_init(r15873);
        mpfr_init(r15874);
        mpfr_init(r15875);
        mpfr_init(r15876);
        mpfr_init(r15877);
        mpfr_init(r15878);
        mpfr_init(r15879);
        mpfr_init(r15880);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15842, n, MPFR_RNDN);
        mpfr_mul(r15843, r15841, r15842, MPFR_RNDN);
        mpfr_set_d(r15844, U, MPFR_RNDN);
        mpfr_mul(r15845, r15843, r15844, MPFR_RNDN);
        mpfr_set_d(r15846, t, MPFR_RNDN);
        mpfr_set_d(r15847, l, MPFR_RNDN);
        mpfr_sqr(r15848, r15847, MPFR_RNDN);
        mpfr_set_d(r15849, Om, MPFR_RNDN);
        mpfr_div(r15850, r15848, r15849, MPFR_RNDN);
        mpfr_mul(r15851, r15841, r15850, MPFR_RNDN);
        mpfr_sub(r15852, r15846, r15851, MPFR_RNDN);
        mpfr_div(r15853, r15847, r15849, MPFR_RNDN);
        mpfr_sqr(r15854, r15853, MPFR_RNDN);
        mpfr_mul(r15855, r15842, r15854, MPFR_RNDN);
        mpfr_set_d(r15856, U_, MPFR_RNDN);
        mpfr_sub(r15857, r15844, r15856, MPFR_RNDN);
        mpfr_mul(r15858, r15855, r15857, MPFR_RNDN);
        mpfr_sub(r15859, r15852, r15858, MPFR_RNDN);
        mpfr_mul(r15860, r15845, r15859, MPFR_RNDN);
        ;
        mpfr_set_si(r15862, mpfr_cmp(r15860, r15861) <= 0, MPFR_RNDN);
        mpfr_div(r15863, r15849, r15847, MPFR_RNDN);
        mpfr_div(r15864, r15847, r15863, MPFR_RNDN);
        mpfr_mul(r15865, r15841, r15864, MPFR_RNDN);
        mpfr_sub(r15866, r15846, r15865, MPFR_RNDN);
        mpfr_sub(r15867, r15866, r15858, MPFR_RNDN);
        mpfr_mul(r15868, r15844, r15867, MPFR_RNDN);
        mpfr_mul(r15869, r15843, r15868, MPFR_RNDN);
        mpfr_sqrt(r15870, r15869, MPFR_RNDN);
        ;
        mpfr_set_si(r15872, mpfr_cmp(r15860, r15871) <= 0, MPFR_RNDN);
        mpfr_mul(r15873, r15842, r15853, MPFR_RNDN);
        mpfr_mul(r15874, r15873, r15853, MPFR_RNDN);
        mpfr_mul(r15875, r15874, r15857, MPFR_RNDN);
        mpfr_sub(r15876, r15866, r15875, MPFR_RNDN);
        mpfr_mul(r15877, r15845, r15876, MPFR_RNDN);
        mpfr_sqrt(r15878, r15877, MPFR_RNDN);
        if (mpfr_get_si(r15872, MPFR_RNDN)) { mpfr_set(r15879, r15878, MPFR_RNDN); } else { mpfr_set(r15879, r15870, MPFR_RNDN); };
        if (mpfr_get_si(r15862, MPFR_RNDN)) { mpfr_set(r15880, r15870, MPFR_RNDN); } else { mpfr_set(r15880, r15879, MPFR_RNDN); };
        return mpfr_get_d(r15880, MPFR_RNDN);
}

