#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 r15694 = 2.0f;
        float r15695 = n;
        float r15696 = r15694 * r15695;
        float r15697 = U;
        float r15698 = r15696 * r15697;
        float r15699 = t;
        float r15700 = l;
        float r15701 = r15700 * r15700;
        float r15702 = Om;
        float r15703 = r15701 / r15702;
        float r15704 = r15694 * r15703;
        float r15705 = r15699 - r15704;
        float r15706 = r15700 / r15702;
        float r15707 = r15706 * r15706;
        float r15708 = r15695 * r15707;
        float r15709 = U_;
        float r15710 = r15697 - r15709;
        float r15711 = r15708 * r15710;
        float r15712 = r15705 - r15711;
        float r15713 = r15698 * r15712;
        float r15714 = sqrt(r15713);
        return r15714;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15715 = 2.0;
        double r15716 = n;
        double r15717 = r15715 * r15716;
        double r15718 = U;
        double r15719 = r15717 * r15718;
        double r15720 = t;
        double r15721 = l;
        double r15722 = r15721 * r15721;
        double r15723 = Om;
        double r15724 = r15722 / r15723;
        double r15725 = r15715 * r15724;
        double r15726 = r15720 - r15725;
        double r15727 = r15721 / r15723;
        double r15728 = r15727 * r15727;
        double r15729 = r15716 * r15728;
        double r15730 = U_;
        double r15731 = r15718 - r15730;
        double r15732 = r15729 * r15731;
        double r15733 = r15726 - r15732;
        double r15734 = r15719 * r15733;
        double r15735 = sqrt(r15734);
        return r15735;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15736 = 2.0f;
        float r15737 = n;
        float r15738 = r15736 * r15737;
        float r15739 = U;
        float r15740 = r15738 * r15739;
        float r15741 = t;
        float r15742 = l;
        float r15743 = r15742 * r15742;
        float r15744 = Om;
        float r15745 = r15743 / r15744;
        float r15746 = r15736 * r15745;
        float r15747 = r15741 - r15746;
        float r15748 = r15742 / r15744;
        float r15749 = r15748 * r15748;
        float r15750 = r15737 * r15749;
        float r15751 = U_;
        float r15752 = r15739 - r15751;
        float r15753 = r15750 * r15752;
        float r15754 = r15747 - r15753;
        float r15755 = r15740 * r15754;
        float r15756 = 1.2399759622083828e+38f;
        bool r15757 = r15755 <= r15756;
        float r15758 = r15737 * r15748;
        float r15759 = r15758 * r15748;
        float r15760 = r15759 * r15752;
        float r15761 = r15747 - r15760;
        float r15762 = r15740 * r15761;
        float r15763 = sqrt(r15762);
        float r15764 = r15739 * r15741;
        float r15765 = r15739 * r15748;
        float r15766 = -r15736;
        float r15767 = r15737 / r15744;
        float r15768 = r15767 * r15752;
        float r15769 = r15766 - r15768;
        float r15770 = r15769 * r15742;
        float r15771 = r15765 * r15770;
        float r15772 = r15764 + r15771;
        float r15773 = r15738 * r15772;
        float r15774 = sqrt(r15773);
        float r15775 = r15757 ? r15763 : r15774;
        return r15775;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15776 = 2.0;
        double r15777 = n;
        double r15778 = r15776 * r15777;
        double r15779 = U;
        double r15780 = r15778 * r15779;
        double r15781 = t;
        double r15782 = l;
        double r15783 = r15782 * r15782;
        double r15784 = Om;
        double r15785 = r15783 / r15784;
        double r15786 = r15776 * r15785;
        double r15787 = r15781 - r15786;
        double r15788 = r15782 / r15784;
        double r15789 = r15788 * r15788;
        double r15790 = r15777 * r15789;
        double r15791 = U_;
        double r15792 = r15779 - r15791;
        double r15793 = r15790 * r15792;
        double r15794 = r15787 - r15793;
        double r15795 = r15780 * r15794;
        double r15796 = 1.2399759622083828e+38;
        bool r15797 = r15795 <= r15796;
        double r15798 = r15777 * r15788;
        double r15799 = r15798 * r15788;
        double r15800 = r15799 * r15792;
        double r15801 = r15787 - r15800;
        double r15802 = r15780 * r15801;
        double r15803 = sqrt(r15802);
        double r15804 = r15779 * r15781;
        double r15805 = r15779 * r15788;
        double r15806 = -r15776;
        double r15807 = r15777 / r15784;
        double r15808 = r15807 * r15792;
        double r15809 = r15806 - r15808;
        double r15810 = r15809 * r15782;
        double r15811 = r15805 * r15810;
        double r15812 = r15804 + r15811;
        double r15813 = r15778 * r15812;
        double r15814 = sqrt(r15813);
        double r15815 = r15797 ? r15803 : r15814;
        return r15815;
}

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 r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15816, "2", 10, MPFR_RNDN);
        mpfr_init(r15817);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15817, n, MPFR_RNDN);
        mpfr_mul(r15818, r15816, r15817, MPFR_RNDN);
        mpfr_set_d(r15819, U, MPFR_RNDN);
        mpfr_mul(r15820, r15818, r15819, MPFR_RNDN);
        mpfr_set_d(r15821, t, MPFR_RNDN);
        mpfr_set_d(r15822, l, MPFR_RNDN);
        mpfr_sqr(r15823, r15822, MPFR_RNDN);
        mpfr_set_d(r15824, Om, MPFR_RNDN);
        mpfr_div(r15825, r15823, r15824, MPFR_RNDN);
        mpfr_mul(r15826, r15816, r15825, MPFR_RNDN);
        mpfr_sub(r15827, r15821, r15826, MPFR_RNDN);
        mpfr_div(r15828, r15822, r15824, MPFR_RNDN);
        mpfr_sqr(r15829, r15828, MPFR_RNDN);
        mpfr_mul(r15830, r15817, r15829, MPFR_RNDN);
        mpfr_set_d(r15831, U_, MPFR_RNDN);
        mpfr_sub(r15832, r15819, r15831, MPFR_RNDN);
        mpfr_mul(r15833, r15830, r15832, MPFR_RNDN);
        mpfr_sub(r15834, r15827, r15833, MPFR_RNDN);
        mpfr_mul(r15835, r15820, r15834, MPFR_RNDN);
        mpfr_sqrt(r15836, r15835, MPFR_RNDN);
        return mpfr_get_d(r15836, MPFR_RNDN);
}

static mpfr_t 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, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15837, "2", 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(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_set_str(r15857, "1.239976f+38", 10, MPFR_RNDN);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init(r15861);
        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(r15871);
        mpfr_init(r15872);
        mpfr_init(r15873);
        mpfr_init(r15874);
        mpfr_init(r15875);
        mpfr_init(r15876);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15838, n, MPFR_RNDN);
        mpfr_mul(r15839, r15837, r15838, MPFR_RNDN);
        mpfr_set_d(r15840, U, MPFR_RNDN);
        mpfr_mul(r15841, r15839, r15840, MPFR_RNDN);
        mpfr_set_d(r15842, t, MPFR_RNDN);
        mpfr_set_d(r15843, l, MPFR_RNDN);
        mpfr_sqr(r15844, r15843, MPFR_RNDN);
        mpfr_set_d(r15845, Om, MPFR_RNDN);
        mpfr_div(r15846, r15844, r15845, MPFR_RNDN);
        mpfr_mul(r15847, r15837, r15846, MPFR_RNDN);
        mpfr_sub(r15848, r15842, r15847, MPFR_RNDN);
        mpfr_div(r15849, r15843, r15845, MPFR_RNDN);
        mpfr_sqr(r15850, r15849, MPFR_RNDN);
        mpfr_mul(r15851, r15838, r15850, MPFR_RNDN);
        mpfr_set_d(r15852, U_, MPFR_RNDN);
        mpfr_sub(r15853, r15840, r15852, MPFR_RNDN);
        mpfr_mul(r15854, r15851, r15853, MPFR_RNDN);
        mpfr_sub(r15855, r15848, r15854, MPFR_RNDN);
        mpfr_mul(r15856, r15841, r15855, MPFR_RNDN);
        ;
        mpfr_set_si(r15858, mpfr_cmp(r15856, r15857) <= 0, MPFR_RNDN);
        mpfr_mul(r15859, r15838, r15849, MPFR_RNDN);
        mpfr_mul(r15860, r15859, r15849, MPFR_RNDN);
        mpfr_mul(r15861, r15860, r15853, MPFR_RNDN);
        mpfr_sub(r15862, r15848, r15861, MPFR_RNDN);
        mpfr_mul(r15863, r15841, r15862, MPFR_RNDN);
        mpfr_sqrt(r15864, r15863, MPFR_RNDN);
        mpfr_mul(r15865, r15840, r15842, MPFR_RNDN);
        mpfr_mul(r15866, r15840, r15849, MPFR_RNDN);
        mpfr_neg(r15867, r15837, MPFR_RNDN);
        mpfr_div(r15868, r15838, r15845, MPFR_RNDN);
        mpfr_mul(r15869, r15868, r15853, MPFR_RNDN);
        mpfr_sub(r15870, r15867, r15869, MPFR_RNDN);
        mpfr_mul(r15871, r15870, r15843, MPFR_RNDN);
        mpfr_mul(r15872, r15866, r15871, MPFR_RNDN);
        mpfr_add(r15873, r15865, r15872, MPFR_RNDN);
        mpfr_mul(r15874, r15839, r15873, MPFR_RNDN);
        mpfr_sqrt(r15875, r15874, MPFR_RNDN);
        if (mpfr_get_si(r15858, MPFR_RNDN)) { mpfr_set(r15876, r15864, MPFR_RNDN); } else { mpfr_set(r15876, r15875, MPFR_RNDN); };
        return mpfr_get_d(r15876, MPFR_RNDN);
}

static mpfr_t r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896, r15897, r15898, r15899, r15900, r15901, r15902, r15903, r15904, r15905, r15906, r15907, r15908, r15909, r15910, r15911, r15912, r15913, r15914, r15915, r15916;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15877, "2", 10, MPFR_RNDN);
        mpfr_init(r15878);
        mpfr_init(r15879);
        mpfr_init(r15880);
        mpfr_init(r15881);
        mpfr_init(r15882);
        mpfr_init(r15883);
        mpfr_init(r15884);
        mpfr_init(r15885);
        mpfr_init(r15886);
        mpfr_init(r15887);
        mpfr_init(r15888);
        mpfr_init(r15889);
        mpfr_init(r15890);
        mpfr_init(r15891);
        mpfr_init(r15892);
        mpfr_init(r15893);
        mpfr_init(r15894);
        mpfr_init(r15895);
        mpfr_init(r15896);
        mpfr_init_set_str(r15897, "1.239976f+38", 10, MPFR_RNDN);
        mpfr_init(r15898);
        mpfr_init(r15899);
        mpfr_init(r15900);
        mpfr_init(r15901);
        mpfr_init(r15902);
        mpfr_init(r15903);
        mpfr_init(r15904);
        mpfr_init(r15905);
        mpfr_init(r15906);
        mpfr_init(r15907);
        mpfr_init(r15908);
        mpfr_init(r15909);
        mpfr_init(r15910);
        mpfr_init(r15911);
        mpfr_init(r15912);
        mpfr_init(r15913);
        mpfr_init(r15914);
        mpfr_init(r15915);
        mpfr_init(r15916);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15878, n, MPFR_RNDN);
        mpfr_mul(r15879, r15877, r15878, MPFR_RNDN);
        mpfr_set_d(r15880, U, MPFR_RNDN);
        mpfr_mul(r15881, r15879, r15880, MPFR_RNDN);
        mpfr_set_d(r15882, t, MPFR_RNDN);
        mpfr_set_d(r15883, l, MPFR_RNDN);
        mpfr_sqr(r15884, r15883, MPFR_RNDN);
        mpfr_set_d(r15885, Om, MPFR_RNDN);
        mpfr_div(r15886, r15884, r15885, MPFR_RNDN);
        mpfr_mul(r15887, r15877, r15886, MPFR_RNDN);
        mpfr_sub(r15888, r15882, r15887, MPFR_RNDN);
        mpfr_div(r15889, r15883, r15885, MPFR_RNDN);
        mpfr_sqr(r15890, r15889, MPFR_RNDN);
        mpfr_mul(r15891, r15878, r15890, MPFR_RNDN);
        mpfr_set_d(r15892, U_, MPFR_RNDN);
        mpfr_sub(r15893, r15880, r15892, MPFR_RNDN);
        mpfr_mul(r15894, r15891, r15893, MPFR_RNDN);
        mpfr_sub(r15895, r15888, r15894, MPFR_RNDN);
        mpfr_mul(r15896, r15881, r15895, MPFR_RNDN);
        ;
        mpfr_set_si(r15898, mpfr_cmp(r15896, r15897) <= 0, MPFR_RNDN);
        mpfr_mul(r15899, r15878, r15889, MPFR_RNDN);
        mpfr_mul(r15900, r15899, r15889, MPFR_RNDN);
        mpfr_mul(r15901, r15900, r15893, MPFR_RNDN);
        mpfr_sub(r15902, r15888, r15901, MPFR_RNDN);
        mpfr_mul(r15903, r15881, r15902, MPFR_RNDN);
        mpfr_sqrt(r15904, r15903, MPFR_RNDN);
        mpfr_mul(r15905, r15880, r15882, MPFR_RNDN);
        mpfr_mul(r15906, r15880, r15889, MPFR_RNDN);
        mpfr_neg(r15907, r15877, MPFR_RNDN);
        mpfr_div(r15908, r15878, r15885, MPFR_RNDN);
        mpfr_mul(r15909, r15908, r15893, MPFR_RNDN);
        mpfr_sub(r15910, r15907, r15909, MPFR_RNDN);
        mpfr_mul(r15911, r15910, r15883, MPFR_RNDN);
        mpfr_mul(r15912, r15906, r15911, MPFR_RNDN);
        mpfr_add(r15913, r15905, r15912, MPFR_RNDN);
        mpfr_mul(r15914, r15879, r15913, MPFR_RNDN);
        mpfr_sqrt(r15915, r15914, MPFR_RNDN);
        if (mpfr_get_si(r15898, MPFR_RNDN)) { mpfr_set(r15916, r15904, MPFR_RNDN); } else { mpfr_set(r15916, r15915, MPFR_RNDN); };
        return mpfr_get_d(r15916, MPFR_RNDN);
}