#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 r22702 = 2.0f;
        float r22703 = n;
        float r22704 = r22702 * r22703;
        float r22705 = U;
        float r22706 = r22704 * r22705;
        float r22707 = t;
        float r22708 = l;
        float r22709 = r22708 * r22708;
        float r22710 = Om;
        float r22711 = r22709 / r22710;
        float r22712 = r22702 * r22711;
        float r22713 = r22707 - r22712;
        float r22714 = r22708 / r22710;
        float r22715 = r22714 * r22714;
        float r22716 = r22703 * r22715;
        float r22717 = U_;
        float r22718 = r22705 - r22717;
        float r22719 = r22716 * r22718;
        float r22720 = r22713 - r22719;
        float r22721 = r22706 * r22720;
        float r22722 = sqrt(r22721);
        return r22722;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22723 = 2.0;
        double r22724 = n;
        double r22725 = r22723 * r22724;
        double r22726 = U;
        double r22727 = r22725 * r22726;
        double r22728 = t;
        double r22729 = l;
        double r22730 = r22729 * r22729;
        double r22731 = Om;
        double r22732 = r22730 / r22731;
        double r22733 = r22723 * r22732;
        double r22734 = r22728 - r22733;
        double r22735 = r22729 / r22731;
        double r22736 = r22735 * r22735;
        double r22737 = r22724 * r22736;
        double r22738 = U_;
        double r22739 = r22726 - r22738;
        double r22740 = r22737 * r22739;
        double r22741 = r22734 - r22740;
        double r22742 = r22727 * r22741;
        double r22743 = sqrt(r22742);
        return r22743;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22744 = U;
        float r22745 = -1.7106492987135438e+40f;
        bool r22746 = r22744 <= r22745;
        float r22747 = n;
        float r22748 = r22747 + r22747;
        float r22749 = r22748 * r22744;
        float r22750 = t;
        float r22751 = r22749 * r22750;
        float r22752 = r22744 * r22747;
        float r22753 = l;
        float r22754 = r22753 + r22753;
        float r22755 = r22752 * r22754;
        float r22756 = Om;
        float r22757 = r22753 / r22756;
        float r22758 = 2.0f;
        float r22759 = -r22758;
        float r22760 = U_;
        float r22761 = r22744 - r22760;
        float r22762 = r22756 / r22747;
        float r22763 = r22761 / r22762;
        float r22764 = r22759 - r22763;
        float r22765 = r22757 * r22764;
        float r22766 = r22755 * r22765;
        float r22767 = r22751 + r22766;
        float r22768 = sqrt(r22767);
        float r22769 = 7.011714412203457e-69f;
        bool r22770 = r22744 <= r22769;
        float r22771 = r22744 * r22750;
        float r22772 = r22753 * r22744;
        float r22773 = r22747 / r22756;
        float r22774 = r22761 * r22773;
        float r22775 = r22759 - r22774;
        float r22776 = r22757 * r22775;
        float r22777 = r22772 * r22776;
        float r22778 = r22771 + r22777;
        float r22779 = r22748 * r22778;
        float r22780 = sqrt(r22779);
        float r22781 = r22770 ? r22780 : r22768;
        float r22782 = r22746 ? r22768 : r22781;
        return r22782;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22783 = U;
        double r22784 = -1.7106492987135438e+40;
        bool r22785 = r22783 <= r22784;
        double r22786 = n;
        double r22787 = r22786 + r22786;
        double r22788 = r22787 * r22783;
        double r22789 = t;
        double r22790 = r22788 * r22789;
        double r22791 = r22783 * r22786;
        double r22792 = l;
        double r22793 = r22792 + r22792;
        double r22794 = r22791 * r22793;
        double r22795 = Om;
        double r22796 = r22792 / r22795;
        double r22797 = 2.0;
        double r22798 = -r22797;
        double r22799 = U_;
        double r22800 = r22783 - r22799;
        double r22801 = r22795 / r22786;
        double r22802 = r22800 / r22801;
        double r22803 = r22798 - r22802;
        double r22804 = r22796 * r22803;
        double r22805 = r22794 * r22804;
        double r22806 = r22790 + r22805;
        double r22807 = sqrt(r22806);
        double r22808 = 7.011714412203457e-69;
        bool r22809 = r22783 <= r22808;
        double r22810 = r22783 * r22789;
        double r22811 = r22792 * r22783;
        double r22812 = r22786 / r22795;
        double r22813 = r22800 * r22812;
        double r22814 = r22798 - r22813;
        double r22815 = r22796 * r22814;
        double r22816 = r22811 * r22815;
        double r22817 = r22810 + r22816;
        double r22818 = r22787 * r22817;
        double r22819 = sqrt(r22818);
        double r22820 = r22809 ? r22819 : r22807;
        double r22821 = r22785 ? r22807 : r22820;
        return r22821;
}

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 r22822, r22823, r22824, r22825, r22826, r22827, r22828, r22829, r22830, r22831, r22832, r22833, r22834, r22835, r22836, r22837, r22838, r22839, r22840, r22841, r22842;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r22822, "2", 10, MPFR_RNDN);
        mpfr_init(r22823);
        mpfr_init(r22824);
        mpfr_init(r22825);
        mpfr_init(r22826);
        mpfr_init(r22827);
        mpfr_init(r22828);
        mpfr_init(r22829);
        mpfr_init(r22830);
        mpfr_init(r22831);
        mpfr_init(r22832);
        mpfr_init(r22833);
        mpfr_init(r22834);
        mpfr_init(r22835);
        mpfr_init(r22836);
        mpfr_init(r22837);
        mpfr_init(r22838);
        mpfr_init(r22839);
        mpfr_init(r22840);
        mpfr_init(r22841);
        mpfr_init(r22842);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22823, n, MPFR_RNDN);
        mpfr_mul(r22824, r22822, r22823, MPFR_RNDN);
        mpfr_set_d(r22825, U, MPFR_RNDN);
        mpfr_mul(r22826, r22824, r22825, MPFR_RNDN);
        mpfr_set_d(r22827, t, MPFR_RNDN);
        mpfr_set_d(r22828, l, MPFR_RNDN);
        mpfr_sqr(r22829, r22828, MPFR_RNDN);
        mpfr_set_d(r22830, Om, MPFR_RNDN);
        mpfr_div(r22831, r22829, r22830, MPFR_RNDN);
        mpfr_mul(r22832, r22822, r22831, MPFR_RNDN);
        mpfr_sub(r22833, r22827, r22832, MPFR_RNDN);
        mpfr_div(r22834, r22828, r22830, MPFR_RNDN);
        mpfr_sqr(r22835, r22834, MPFR_RNDN);
        mpfr_mul(r22836, r22823, r22835, MPFR_RNDN);
        mpfr_set_d(r22837, U_, MPFR_RNDN);
        mpfr_sub(r22838, r22825, r22837, MPFR_RNDN);
        mpfr_mul(r22839, r22836, r22838, MPFR_RNDN);
        mpfr_sub(r22840, r22833, r22839, MPFR_RNDN);
        mpfr_mul(r22841, r22826, r22840, MPFR_RNDN);
        mpfr_sqrt(r22842, r22841, MPFR_RNDN);
        return mpfr_get_d(r22842, MPFR_RNDN);
}

static mpfr_t r22843, r22844, r22845, r22846, r22847, r22848, r22849, r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858, r22859, r22860, r22861, r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r22843);
        mpfr_init_set_str(r22844, "-1.7106492987135438e+40", 10, MPFR_RNDN);
        mpfr_init(r22845);
        mpfr_init(r22846);
        mpfr_init(r22847);
        mpfr_init(r22848);
        mpfr_init(r22849);
        mpfr_init(r22850);
        mpfr_init(r22851);
        mpfr_init(r22852);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init(r22855);
        mpfr_init(r22856);
        mpfr_init_set_str(r22857, "2", 10, MPFR_RNDN);
        mpfr_init(r22858);
        mpfr_init(r22859);
        mpfr_init(r22860);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init_set_str(r22868, "7.011714412203457e-69", 10, MPFR_RNDN);
        mpfr_init(r22869);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        mpfr_init(r22877);
        mpfr_init(r22878);
        mpfr_init(r22879);
        mpfr_init(r22880);
        mpfr_init(r22881);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22843, U, MPFR_RNDN);
        ;
        mpfr_set_si(r22845, mpfr_cmp(r22843, r22844) <= 0, MPFR_RNDN);
        mpfr_set_d(r22846, n, MPFR_RNDN);
        mpfr_add(r22847, r22846, r22846, MPFR_RNDN);
        mpfr_mul(r22848, r22847, r22843, MPFR_RNDN);
        mpfr_set_d(r22849, t, MPFR_RNDN);
        mpfr_mul(r22850, r22848, r22849, MPFR_RNDN);
        mpfr_mul(r22851, r22843, r22846, MPFR_RNDN);
        mpfr_set_d(r22852, l, MPFR_RNDN);
        mpfr_add(r22853, r22852, r22852, MPFR_RNDN);
        mpfr_mul(r22854, r22851, r22853, MPFR_RNDN);
        mpfr_set_d(r22855, Om, MPFR_RNDN);
        mpfr_div(r22856, r22852, r22855, MPFR_RNDN);
        ;
        mpfr_neg(r22858, r22857, MPFR_RNDN);
        mpfr_set_d(r22859, U_, MPFR_RNDN);
        mpfr_sub(r22860, r22843, r22859, MPFR_RNDN);
        mpfr_div(r22861, r22855, r22846, MPFR_RNDN);
        mpfr_div(r22862, r22860, r22861, MPFR_RNDN);
        mpfr_sub(r22863, r22858, r22862, MPFR_RNDN);
        mpfr_mul(r22864, r22856, r22863, MPFR_RNDN);
        mpfr_mul(r22865, r22854, r22864, MPFR_RNDN);
        mpfr_add(r22866, r22850, r22865, MPFR_RNDN);
        mpfr_sqrt(r22867, r22866, MPFR_RNDN);
        ;
        mpfr_set_si(r22869, mpfr_cmp(r22843, r22868) <= 0, MPFR_RNDN);
        mpfr_mul(r22870, r22843, r22849, MPFR_RNDN);
        mpfr_mul(r22871, r22852, r22843, MPFR_RNDN);
        mpfr_div(r22872, r22846, r22855, MPFR_RNDN);
        mpfr_mul(r22873, r22860, r22872, MPFR_RNDN);
        mpfr_sub(r22874, r22858, r22873, MPFR_RNDN);
        mpfr_mul(r22875, r22856, r22874, MPFR_RNDN);
        mpfr_mul(r22876, r22871, r22875, MPFR_RNDN);
        mpfr_add(r22877, r22870, r22876, MPFR_RNDN);
        mpfr_mul(r22878, r22847, r22877, MPFR_RNDN);
        mpfr_sqrt(r22879, r22878, MPFR_RNDN);
        if (mpfr_get_si(r22869, MPFR_RNDN)) { mpfr_set(r22880, r22879, MPFR_RNDN); } else { mpfr_set(r22880, r22867, MPFR_RNDN); };
        if (mpfr_get_si(r22845, MPFR_RNDN)) { mpfr_set(r22881, r22867, MPFR_RNDN); } else { mpfr_set(r22881, r22880, MPFR_RNDN); };
        return mpfr_get_d(r22881, MPFR_RNDN);
}

static mpfr_t r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890, r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r22882);
        mpfr_init_set_str(r22883, "-1.7106492987135438e+40", 10, MPFR_RNDN);
        mpfr_init(r22884);
        mpfr_init(r22885);
        mpfr_init(r22886);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init(r22893);
        mpfr_init(r22894);
        mpfr_init(r22895);
        mpfr_init_set_str(r22896, "2", 10, MPFR_RNDN);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init(r22902);
        mpfr_init(r22903);
        mpfr_init(r22904);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init_set_str(r22907, "7.011714412203457e-69", 10, MPFR_RNDN);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init(r22914);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22882, U, MPFR_RNDN);
        ;
        mpfr_set_si(r22884, mpfr_cmp(r22882, r22883) <= 0, MPFR_RNDN);
        mpfr_set_d(r22885, n, MPFR_RNDN);
        mpfr_add(r22886, r22885, r22885, MPFR_RNDN);
        mpfr_mul(r22887, r22886, r22882, MPFR_RNDN);
        mpfr_set_d(r22888, t, MPFR_RNDN);
        mpfr_mul(r22889, r22887, r22888, MPFR_RNDN);
        mpfr_mul(r22890, r22882, r22885, MPFR_RNDN);
        mpfr_set_d(r22891, l, MPFR_RNDN);
        mpfr_add(r22892, r22891, r22891, MPFR_RNDN);
        mpfr_mul(r22893, r22890, r22892, MPFR_RNDN);
        mpfr_set_d(r22894, Om, MPFR_RNDN);
        mpfr_div(r22895, r22891, r22894, MPFR_RNDN);
        ;
        mpfr_neg(r22897, r22896, MPFR_RNDN);
        mpfr_set_d(r22898, U_, MPFR_RNDN);
        mpfr_sub(r22899, r22882, r22898, MPFR_RNDN);
        mpfr_div(r22900, r22894, r22885, MPFR_RNDN);
        mpfr_div(r22901, r22899, r22900, MPFR_RNDN);
        mpfr_sub(r22902, r22897, r22901, MPFR_RNDN);
        mpfr_mul(r22903, r22895, r22902, MPFR_RNDN);
        mpfr_mul(r22904, r22893, r22903, MPFR_RNDN);
        mpfr_add(r22905, r22889, r22904, MPFR_RNDN);
        mpfr_sqrt(r22906, r22905, MPFR_RNDN);
        ;
        mpfr_set_si(r22908, mpfr_cmp(r22882, r22907) <= 0, MPFR_RNDN);
        mpfr_mul(r22909, r22882, r22888, MPFR_RNDN);
        mpfr_mul(r22910, r22891, r22882, MPFR_RNDN);
        mpfr_div(r22911, r22885, r22894, MPFR_RNDN);
        mpfr_mul(r22912, r22899, r22911, MPFR_RNDN);
        mpfr_sub(r22913, r22897, r22912, MPFR_RNDN);
        mpfr_mul(r22914, r22895, r22913, MPFR_RNDN);
        mpfr_mul(r22915, r22910, r22914, MPFR_RNDN);
        mpfr_add(r22916, r22909, r22915, MPFR_RNDN);
        mpfr_mul(r22917, r22886, r22916, MPFR_RNDN);
        mpfr_sqrt(r22918, r22917, MPFR_RNDN);
        if (mpfr_get_si(r22908, MPFR_RNDN)) { mpfr_set(r22919, r22918, MPFR_RNDN); } else { mpfr_set(r22919, r22906, MPFR_RNDN); };
        if (mpfr_get_si(r22884, MPFR_RNDN)) { mpfr_set(r22920, r22906, MPFR_RNDN); } else { mpfr_set(r22920, r22919, MPFR_RNDN); };
        return mpfr_get_d(r22920, MPFR_RNDN);
}