#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 r22722 = 2;
        float r22723 = n;
        float r22724 = r22722 * r22723;
        float r22725 = U;
        float r22726 = r22724 * r22725;
        float r22727 = t;
        float r22728 = l;
        float r22729 = r22728 * r22728;
        float r22730 = Om;
        float r22731 = r22729 / r22730;
        float r22732 = r22722 * r22731;
        float r22733 = r22727 - r22732;
        float r22734 = r22728 / r22730;
        float r22735 = pow(r22734, r22722);
        float r22736 = r22723 * r22735;
        float r22737 = U_;
        float r22738 = r22725 - r22737;
        float r22739 = r22736 * r22738;
        float r22740 = r22733 - r22739;
        float r22741 = r22726 * r22740;
        float r22742 = sqrt(r22741);
        return r22742;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22743 = 2;
        double r22744 = n;
        double r22745 = r22743 * r22744;
        double r22746 = U;
        double r22747 = r22745 * r22746;
        double r22748 = t;
        double r22749 = l;
        double r22750 = r22749 * r22749;
        double r22751 = Om;
        double r22752 = r22750 / r22751;
        double r22753 = r22743 * r22752;
        double r22754 = r22748 - r22753;
        double r22755 = r22749 / r22751;
        double r22756 = pow(r22755, r22743);
        double r22757 = r22744 * r22756;
        double r22758 = U_;
        double r22759 = r22746 - r22758;
        double r22760 = r22757 * r22759;
        double r22761 = r22754 - r22760;
        double r22762 = r22747 * r22761;
        double r22763 = sqrt(r22762);
        return r22763;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22764 = 2;
        float r22765 = n;
        float r22766 = r22764 * r22765;
        float r22767 = U;
        float r22768 = r22766 * r22767;
        float r22769 = sqrt(r22768);
        float r22770 = t;
        float r22771 = l;
        float r22772 = r22771 * r22771;
        float r22773 = Om;
        float r22774 = r22772 / r22773;
        float r22775 = r22764 * r22774;
        float r22776 = r22770 - r22775;
        float r22777 = r22771 / r22773;
        float r22778 = pow(r22777, r22764);
        float r22779 = r22765 * r22778;
        float r22780 = U_;
        float r22781 = r22767 - r22780;
        float r22782 = r22779 * r22781;
        float r22783 = r22776 - r22782;
        float r22784 = sqrt(r22783);
        float r22785 = r22769 * r22784;
        float r22786 = 4.828530739005878e-233;
        bool r22787 = r22785 <= r22786;
        float r22788 = sqrt(r22766);
        float r22789 = r22767 * r22783;
        float r22790 = sqrt(r22789);
        float r22791 = r22788 * r22790;
        float r22792 = +inf.0;
        bool r22793 = r22785 <= r22792;
        float r22794 = r22773 / r22771;
        float r22795 = r22771 / r22794;
        float r22796 = r22764 * r22795;
        float r22797 = r22770 - r22796;
        float r22798 = r22797 - r22782;
        float r22799 = r22767 * r22798;
        float r22800 = r22766 * r22799;
        float r22801 = sqrt(r22800);
        float r22802 = r22793 ? r22785 : r22801;
        float r22803 = r22787 ? r22791 : r22802;
        return r22803;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22804 = 2;
        double r22805 = n;
        double r22806 = r22804 * r22805;
        double r22807 = U;
        double r22808 = r22806 * r22807;
        double r22809 = sqrt(r22808);
        double r22810 = t;
        double r22811 = l;
        double r22812 = r22811 * r22811;
        double r22813 = Om;
        double r22814 = r22812 / r22813;
        double r22815 = r22804 * r22814;
        double r22816 = r22810 - r22815;
        double r22817 = r22811 / r22813;
        double r22818 = pow(r22817, r22804);
        double r22819 = r22805 * r22818;
        double r22820 = U_;
        double r22821 = r22807 - r22820;
        double r22822 = r22819 * r22821;
        double r22823 = r22816 - r22822;
        double r22824 = sqrt(r22823);
        double r22825 = r22809 * r22824;
        double r22826 = 4.828530739005878e-233;
        bool r22827 = r22825 <= r22826;
        double r22828 = sqrt(r22806);
        double r22829 = r22807 * r22823;
        double r22830 = sqrt(r22829);
        double r22831 = r22828 * r22830;
        double r22832 = +inf.0;
        bool r22833 = r22825 <= r22832;
        double r22834 = r22813 / r22811;
        double r22835 = r22811 / r22834;
        double r22836 = r22804 * r22835;
        double r22837 = r22810 - r22836;
        double r22838 = r22837 - r22822;
        double r22839 = r22807 * r22838;
        double r22840 = r22806 * r22839;
        double r22841 = sqrt(r22840);
        double r22842 = r22833 ? r22825 : r22841;
        double r22843 = r22827 ? r22831 : r22842;
        return r22843;
}

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 r22844, r22845, r22846, r22847, r22848, r22849, r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858, r22859, r22860, r22861, r22862, r22863, r22864;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22844, "2", 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(r22857);
        mpfr_init(r22858);
        mpfr_init(r22859);
        mpfr_init(r22860);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22845, n, MPFR_RNDN);
        mpfr_mul(r22846, r22844, r22845, MPFR_RNDN);
        mpfr_set_d(r22847, U, MPFR_RNDN);
        mpfr_mul(r22848, r22846, r22847, MPFR_RNDN);
        mpfr_set_d(r22849, t, MPFR_RNDN);
        mpfr_set_d(r22850, l, MPFR_RNDN);
        mpfr_mul(r22851, r22850, r22850, MPFR_RNDN);
        mpfr_set_d(r22852, Om, MPFR_RNDN);
        mpfr_div(r22853, r22851, r22852, MPFR_RNDN);
        mpfr_mul(r22854, r22844, r22853, MPFR_RNDN);
        mpfr_sub(r22855, r22849, r22854, MPFR_RNDN);
        mpfr_div(r22856, r22850, r22852, MPFR_RNDN);
        mpfr_pow(r22857, r22856, r22844, MPFR_RNDN);
        mpfr_mul(r22858, r22845, r22857, MPFR_RNDN);
        mpfr_set_d(r22859, U_, MPFR_RNDN);
        mpfr_sub(r22860, r22847, r22859, MPFR_RNDN);
        mpfr_mul(r22861, r22858, r22860, MPFR_RNDN);
        mpfr_sub(r22862, r22855, r22861, MPFR_RNDN);
        mpfr_mul(r22863, r22848, r22862, MPFR_RNDN);
        mpfr_sqrt(r22864, r22863, MPFR_RNDN);
        return mpfr_get_d(r22864, MPFR_RNDN);
}

static mpfr_t r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881, r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890, r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22865, "2", 10, MPFR_RNDN);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        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);
        mpfr_init(r22882);
        mpfr_init(r22883);
        mpfr_init(r22884);
        mpfr_init(r22885);
        mpfr_init(r22886);
        mpfr_init_set_str(r22887, "4.828530739005878e-233", 10, MPFR_RNDN);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init_set_str(r22893, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r22894);
        mpfr_init(r22895);
        mpfr_init(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init(r22902);
        mpfr_init(r22903);
        mpfr_init(r22904);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22866, n, MPFR_RNDN);
        mpfr_mul(r22867, r22865, r22866, MPFR_RNDN);
        mpfr_set_d(r22868, U, MPFR_RNDN);
        mpfr_mul(r22869, r22867, r22868, MPFR_RNDN);
        mpfr_sqrt(r22870, r22869, MPFR_RNDN);
        mpfr_set_d(r22871, t, MPFR_RNDN);
        mpfr_set_d(r22872, l, MPFR_RNDN);
        mpfr_mul(r22873, r22872, r22872, MPFR_RNDN);
        mpfr_set_d(r22874, Om, MPFR_RNDN);
        mpfr_div(r22875, r22873, r22874, MPFR_RNDN);
        mpfr_mul(r22876, r22865, r22875, MPFR_RNDN);
        mpfr_sub(r22877, r22871, r22876, MPFR_RNDN);
        mpfr_div(r22878, r22872, r22874, MPFR_RNDN);
        mpfr_pow(r22879, r22878, r22865, MPFR_RNDN);
        mpfr_mul(r22880, r22866, r22879, MPFR_RNDN);
        mpfr_set_d(r22881, U_, MPFR_RNDN);
        mpfr_sub(r22882, r22868, r22881, MPFR_RNDN);
        mpfr_mul(r22883, r22880, r22882, MPFR_RNDN);
        mpfr_sub(r22884, r22877, r22883, MPFR_RNDN);
        mpfr_sqrt(r22885, r22884, MPFR_RNDN);
        mpfr_mul(r22886, r22870, r22885, MPFR_RNDN);
        ;
        mpfr_set_si(r22888, mpfr_cmp(r22886, r22887) <= 0, MPFR_RNDN);
        mpfr_sqrt(r22889, r22867, MPFR_RNDN);
        mpfr_mul(r22890, r22868, r22884, MPFR_RNDN);
        mpfr_sqrt(r22891, r22890, MPFR_RNDN);
        mpfr_mul(r22892, r22889, r22891, MPFR_RNDN);
        ;
        mpfr_set_si(r22894, mpfr_cmp(r22886, r22893) <= 0, MPFR_RNDN);
        mpfr_div(r22895, r22874, r22872, MPFR_RNDN);
        mpfr_div(r22896, r22872, r22895, MPFR_RNDN);
        mpfr_mul(r22897, r22865, r22896, MPFR_RNDN);
        mpfr_sub(r22898, r22871, r22897, MPFR_RNDN);
        mpfr_sub(r22899, r22898, r22883, MPFR_RNDN);
        mpfr_mul(r22900, r22868, r22899, MPFR_RNDN);
        mpfr_mul(r22901, r22867, r22900, MPFR_RNDN);
        mpfr_sqrt(r22902, r22901, MPFR_RNDN);
        if (mpfr_get_si(r22894, MPFR_RNDN)) { mpfr_set(r22903, r22886, MPFR_RNDN); } else { mpfr_set(r22903, r22902, MPFR_RNDN); };
        if (mpfr_get_si(r22888, MPFR_RNDN)) { mpfr_set(r22904, r22892, MPFR_RNDN); } else { mpfr_set(r22904, r22903, MPFR_RNDN); };
        return mpfr_get_d(r22904, MPFR_RNDN);
}

static mpfr_t r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923, r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22905, "2", 10, MPFR_RNDN);
        mpfr_init(r22906);
        mpfr_init(r22907);
        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);
        mpfr_init(r22921);
        mpfr_init(r22922);
        mpfr_init(r22923);
        mpfr_init(r22924);
        mpfr_init(r22925);
        mpfr_init(r22926);
        mpfr_init_set_str(r22927, "4.828530739005878e-233", 10, MPFR_RNDN);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init_set_str(r22933, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r22934);
        mpfr_init(r22935);
        mpfr_init(r22936);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22906, n, MPFR_RNDN);
        mpfr_mul(r22907, r22905, r22906, MPFR_RNDN);
        mpfr_set_d(r22908, U, MPFR_RNDN);
        mpfr_mul(r22909, r22907, r22908, MPFR_RNDN);
        mpfr_sqrt(r22910, r22909, MPFR_RNDN);
        mpfr_set_d(r22911, t, MPFR_RNDN);
        mpfr_set_d(r22912, l, MPFR_RNDN);
        mpfr_mul(r22913, r22912, r22912, MPFR_RNDN);
        mpfr_set_d(r22914, Om, MPFR_RNDN);
        mpfr_div(r22915, r22913, r22914, MPFR_RNDN);
        mpfr_mul(r22916, r22905, r22915, MPFR_RNDN);
        mpfr_sub(r22917, r22911, r22916, MPFR_RNDN);
        mpfr_div(r22918, r22912, r22914, MPFR_RNDN);
        mpfr_pow(r22919, r22918, r22905, MPFR_RNDN);
        mpfr_mul(r22920, r22906, r22919, MPFR_RNDN);
        mpfr_set_d(r22921, U_, MPFR_RNDN);
        mpfr_sub(r22922, r22908, r22921, MPFR_RNDN);
        mpfr_mul(r22923, r22920, r22922, MPFR_RNDN);
        mpfr_sub(r22924, r22917, r22923, MPFR_RNDN);
        mpfr_sqrt(r22925, r22924, MPFR_RNDN);
        mpfr_mul(r22926, r22910, r22925, MPFR_RNDN);
        ;
        mpfr_set_si(r22928, mpfr_cmp(r22926, r22927) <= 0, MPFR_RNDN);
        mpfr_sqrt(r22929, r22907, MPFR_RNDN);
        mpfr_mul(r22930, r22908, r22924, MPFR_RNDN);
        mpfr_sqrt(r22931, r22930, MPFR_RNDN);
        mpfr_mul(r22932, r22929, r22931, MPFR_RNDN);
        ;
        mpfr_set_si(r22934, mpfr_cmp(r22926, r22933) <= 0, MPFR_RNDN);
        mpfr_div(r22935, r22914, r22912, MPFR_RNDN);
        mpfr_div(r22936, r22912, r22935, MPFR_RNDN);
        mpfr_mul(r22937, r22905, r22936, MPFR_RNDN);
        mpfr_sub(r22938, r22911, r22937, MPFR_RNDN);
        mpfr_sub(r22939, r22938, r22923, MPFR_RNDN);
        mpfr_mul(r22940, r22908, r22939, MPFR_RNDN);
        mpfr_mul(r22941, r22907, r22940, MPFR_RNDN);
        mpfr_sqrt(r22942, r22941, MPFR_RNDN);
        if (mpfr_get_si(r22934, MPFR_RNDN)) { mpfr_set(r22943, r22926, MPFR_RNDN); } else { mpfr_set(r22943, r22942, MPFR_RNDN); };
        if (mpfr_get_si(r22928, MPFR_RNDN)) { mpfr_set(r22944, r22932, MPFR_RNDN); } else { mpfr_set(r22944, r22943, MPFR_RNDN); };
        return mpfr_get_d(r22944, MPFR_RNDN);
}