#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 r22740 = 2;
        float r22741 = n;
        float r22742 = r22740 * r22741;
        float r22743 = U;
        float r22744 = r22742 * r22743;
        float r22745 = t;
        float r22746 = l;
        float r22747 = r22746 * r22746;
        float r22748 = Om;
        float r22749 = r22747 / r22748;
        float r22750 = r22740 * r22749;
        float r22751 = r22745 - r22750;
        float r22752 = r22746 / r22748;
        float r22753 = pow(r22752, r22740);
        float r22754 = r22741 * r22753;
        float r22755 = U_;
        float r22756 = r22743 - r22755;
        float r22757 = r22754 * r22756;
        float r22758 = r22751 - r22757;
        float r22759 = r22744 * r22758;
        float r22760 = sqrt(r22759);
        return r22760;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22761 = 2;
        double r22762 = n;
        double r22763 = r22761 * r22762;
        double r22764 = U;
        double r22765 = r22763 * r22764;
        double r22766 = t;
        double r22767 = l;
        double r22768 = r22767 * r22767;
        double r22769 = Om;
        double r22770 = r22768 / r22769;
        double r22771 = r22761 * r22770;
        double r22772 = r22766 - r22771;
        double r22773 = r22767 / r22769;
        double r22774 = pow(r22773, r22761);
        double r22775 = r22762 * r22774;
        double r22776 = U_;
        double r22777 = r22764 - r22776;
        double r22778 = r22775 * r22777;
        double r22779 = r22772 - r22778;
        double r22780 = r22765 * r22779;
        double r22781 = sqrt(r22780);
        return r22781;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22782 = n;
        float r22783 = 2;
        float r22784 = r22782 * r22783;
        float r22785 = U;
        float r22786 = r22784 * r22785;
        float r22787 = -2.1620524741345878e+33;
        bool r22788 = r22786 <= r22787;
        float r22789 = r22783 * r22782;
        float r22790 = t;
        float r22791 = l;
        float r22792 = Om;
        float r22793 = r22791 / r22792;
        float r22794 = r22783 * r22791;
        float r22795 = r22793 * r22794;
        float r22796 = r22790 - r22795;
        float r22797 = r22793 * r22782;
        float r22798 = U_;
        float r22799 = r22785 - r22798;
        float r22800 = r22793 * r22799;
        float r22801 = r22797 * r22800;
        float r22802 = r22796 - r22801;
        float r22803 = r22802 * r22785;
        float r22804 = r22789 * r22803;
        float r22805 = sqrt(r22804);
        float r22806 = -4.918819818914219e-91;
        bool r22807 = r22786 <= r22806;
        float r22808 = r22786 * r22796;
        float r22809 = sqrt(r22808);
        float r22810 = 1.3750517132783e-311;
        bool r22811 = r22786 <= r22810;
        float r22812 = r22789 * r22785;
        float r22813 = sqrt(r22812);
        float r22814 = r22791 * r22783;
        float r22815 = r22793 * r22814;
        float r22816 = r22790 - r22815;
        float r22817 = r22816 - r22801;
        float r22818 = sqrt(r22817);
        float r22819 = r22813 * r22818;
        float r22820 = r22811 ? r22805 : r22819;
        float r22821 = r22807 ? r22809 : r22820;
        float r22822 = r22788 ? r22805 : r22821;
        return r22822;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22823 = n;
        double r22824 = 2;
        double r22825 = r22823 * r22824;
        double r22826 = U;
        double r22827 = r22825 * r22826;
        double r22828 = -2.1620524741345878e+33;
        bool r22829 = r22827 <= r22828;
        double r22830 = r22824 * r22823;
        double r22831 = t;
        double r22832 = l;
        double r22833 = Om;
        double r22834 = r22832 / r22833;
        double r22835 = r22824 * r22832;
        double r22836 = r22834 * r22835;
        double r22837 = r22831 - r22836;
        double r22838 = r22834 * r22823;
        double r22839 = U_;
        double r22840 = r22826 - r22839;
        double r22841 = r22834 * r22840;
        double r22842 = r22838 * r22841;
        double r22843 = r22837 - r22842;
        double r22844 = r22843 * r22826;
        double r22845 = r22830 * r22844;
        double r22846 = sqrt(r22845);
        double r22847 = -4.918819818914219e-91;
        bool r22848 = r22827 <= r22847;
        double r22849 = r22827 * r22837;
        double r22850 = sqrt(r22849);
        double r22851 = 1.3750517132783e-311;
        bool r22852 = r22827 <= r22851;
        double r22853 = r22830 * r22826;
        double r22854 = sqrt(r22853);
        double r22855 = r22832 * r22824;
        double r22856 = r22834 * r22855;
        double r22857 = r22831 - r22856;
        double r22858 = r22857 - r22842;
        double r22859 = sqrt(r22858);
        double r22860 = r22854 * r22859;
        double r22861 = r22852 ? r22846 : r22860;
        double r22862 = r22848 ? r22850 : r22861;
        double r22863 = r22829 ? r22846 : r22862;
        return r22863;
}

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 r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881, r22882, r22883, r22884;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22864, "2", 10, MPFR_RNDN);
        mpfr_init(r22865);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22865, n, MPFR_RNDN);
        mpfr_mul(r22866, r22864, r22865, MPFR_RNDN);
        mpfr_set_d(r22867, U, MPFR_RNDN);
        mpfr_mul(r22868, r22866, r22867, MPFR_RNDN);
        mpfr_set_d(r22869, t, MPFR_RNDN);
        mpfr_set_d(r22870, l, MPFR_RNDN);
        mpfr_mul(r22871, r22870, r22870, MPFR_RNDN);
        mpfr_set_d(r22872, Om, MPFR_RNDN);
        mpfr_div(r22873, r22871, r22872, MPFR_RNDN);
        mpfr_mul(r22874, r22864, r22873, MPFR_RNDN);
        mpfr_sub(r22875, r22869, r22874, MPFR_RNDN);
        mpfr_div(r22876, r22870, r22872, MPFR_RNDN);
        mpfr_pow(r22877, r22876, r22864, MPFR_RNDN);
        mpfr_mul(r22878, r22865, r22877, MPFR_RNDN);
        mpfr_set_d(r22879, U_, MPFR_RNDN);
        mpfr_sub(r22880, r22867, r22879, MPFR_RNDN);
        mpfr_mul(r22881, r22878, r22880, MPFR_RNDN);
        mpfr_sub(r22882, r22875, r22881, MPFR_RNDN);
        mpfr_mul(r22883, r22868, r22882, MPFR_RNDN);
        mpfr_sqrt(r22884, r22883, MPFR_RNDN);
        return mpfr_get_d(r22884, MPFR_RNDN);
}

static mpfr_t 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, r22921, r22922, r22923, r22924, r22925;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22885);
        mpfr_init_set_str(r22886, "2", 10, MPFR_RNDN);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init_set_str(r22890, "-2.1620524741345878e+33", 10, MPFR_RNDN);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init(r22893);
        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);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init_set_str(r22909, "-4.918819818914219e-91", 10, MPFR_RNDN);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init(r22912);
        mpfr_init_set_str(r22913, "1.3750517132783e-311", 10, MPFR_RNDN);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22885, n, MPFR_RNDN);
        ;
        mpfr_mul(r22887, r22885, r22886, MPFR_RNDN);
        mpfr_set_d(r22888, U, MPFR_RNDN);
        mpfr_mul(r22889, r22887, r22888, MPFR_RNDN);
        ;
        mpfr_set_si(r22891, mpfr_cmp(r22889, r22890) <= 0, MPFR_RNDN);
        mpfr_mul(r22892, r22886, r22885, MPFR_RNDN);
        mpfr_set_d(r22893, t, MPFR_RNDN);
        mpfr_set_d(r22894, l, MPFR_RNDN);
        mpfr_set_d(r22895, Om, MPFR_RNDN);
        mpfr_div(r22896, r22894, r22895, MPFR_RNDN);
        mpfr_mul(r22897, r22886, r22894, MPFR_RNDN);
        mpfr_mul(r22898, r22896, r22897, MPFR_RNDN);
        mpfr_sub(r22899, r22893, r22898, MPFR_RNDN);
        mpfr_mul(r22900, r22896, r22885, MPFR_RNDN);
        mpfr_set_d(r22901, U_, MPFR_RNDN);
        mpfr_sub(r22902, r22888, r22901, MPFR_RNDN);
        mpfr_mul(r22903, r22896, r22902, MPFR_RNDN);
        mpfr_mul(r22904, r22900, r22903, MPFR_RNDN);
        mpfr_sub(r22905, r22899, r22904, MPFR_RNDN);
        mpfr_mul(r22906, r22905, r22888, MPFR_RNDN);
        mpfr_mul(r22907, r22892, r22906, MPFR_RNDN);
        mpfr_sqrt(r22908, r22907, MPFR_RNDN);
        ;
        mpfr_set_si(r22910, mpfr_cmp(r22889, r22909) <= 0, MPFR_RNDN);
        mpfr_mul(r22911, r22889, r22899, MPFR_RNDN);
        mpfr_sqrt(r22912, r22911, MPFR_RNDN);
        ;
        mpfr_set_si(r22914, mpfr_cmp(r22889, r22913) <= 0, MPFR_RNDN);
        mpfr_mul(r22915, r22892, r22888, MPFR_RNDN);
        mpfr_sqrt(r22916, r22915, MPFR_RNDN);
        mpfr_mul(r22917, r22894, r22886, MPFR_RNDN);
        mpfr_mul(r22918, r22896, r22917, MPFR_RNDN);
        mpfr_sub(r22919, r22893, r22918, MPFR_RNDN);
        mpfr_sub(r22920, r22919, r22904, MPFR_RNDN);
        mpfr_sqrt(r22921, r22920, MPFR_RNDN);
        mpfr_mul(r22922, r22916, r22921, MPFR_RNDN);
        if (mpfr_get_si(r22914, MPFR_RNDN)) { mpfr_set(r22923, r22908, MPFR_RNDN); } else { mpfr_set(r22923, r22922, MPFR_RNDN); };
        if (mpfr_get_si(r22910, MPFR_RNDN)) { mpfr_set(r22924, r22912, MPFR_RNDN); } else { mpfr_set(r22924, r22923, MPFR_RNDN); };
        if (mpfr_get_si(r22891, MPFR_RNDN)) { mpfr_set(r22925, r22908, MPFR_RNDN); } else { mpfr_set(r22925, r22924, MPFR_RNDN); };
        return mpfr_get_d(r22925, MPFR_RNDN);
}

static mpfr_t r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22926);
        mpfr_init_set_str(r22927, "2", 10, MPFR_RNDN);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init_set_str(r22931, "-2.1620524741345878e+33", 10, MPFR_RNDN);
        mpfr_init(r22932);
        mpfr_init(r22933);
        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);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init_set_str(r22950, "-4.918819818914219e-91", 10, MPFR_RNDN);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init_set_str(r22954, "1.3750517132783e-311", 10, MPFR_RNDN);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22926, n, MPFR_RNDN);
        ;
        mpfr_mul(r22928, r22926, r22927, MPFR_RNDN);
        mpfr_set_d(r22929, U, MPFR_RNDN);
        mpfr_mul(r22930, r22928, r22929, MPFR_RNDN);
        ;
        mpfr_set_si(r22932, mpfr_cmp(r22930, r22931) <= 0, MPFR_RNDN);
        mpfr_mul(r22933, r22927, r22926, MPFR_RNDN);
        mpfr_set_d(r22934, t, MPFR_RNDN);
        mpfr_set_d(r22935, l, MPFR_RNDN);
        mpfr_set_d(r22936, Om, MPFR_RNDN);
        mpfr_div(r22937, r22935, r22936, MPFR_RNDN);
        mpfr_mul(r22938, r22927, r22935, MPFR_RNDN);
        mpfr_mul(r22939, r22937, r22938, MPFR_RNDN);
        mpfr_sub(r22940, r22934, r22939, MPFR_RNDN);
        mpfr_mul(r22941, r22937, r22926, MPFR_RNDN);
        mpfr_set_d(r22942, U_, MPFR_RNDN);
        mpfr_sub(r22943, r22929, r22942, MPFR_RNDN);
        mpfr_mul(r22944, r22937, r22943, MPFR_RNDN);
        mpfr_mul(r22945, r22941, r22944, MPFR_RNDN);
        mpfr_sub(r22946, r22940, r22945, MPFR_RNDN);
        mpfr_mul(r22947, r22946, r22929, MPFR_RNDN);
        mpfr_mul(r22948, r22933, r22947, MPFR_RNDN);
        mpfr_sqrt(r22949, r22948, MPFR_RNDN);
        ;
        mpfr_set_si(r22951, mpfr_cmp(r22930, r22950) <= 0, MPFR_RNDN);
        mpfr_mul(r22952, r22930, r22940, MPFR_RNDN);
        mpfr_sqrt(r22953, r22952, MPFR_RNDN);
        ;
        mpfr_set_si(r22955, mpfr_cmp(r22930, r22954) <= 0, MPFR_RNDN);
        mpfr_mul(r22956, r22933, r22929, MPFR_RNDN);
        mpfr_sqrt(r22957, r22956, MPFR_RNDN);
        mpfr_mul(r22958, r22935, r22927, MPFR_RNDN);
        mpfr_mul(r22959, r22937, r22958, MPFR_RNDN);
        mpfr_sub(r22960, r22934, r22959, MPFR_RNDN);
        mpfr_sub(r22961, r22960, r22945, MPFR_RNDN);
        mpfr_sqrt(r22962, r22961, MPFR_RNDN);
        mpfr_mul(r22963, r22957, r22962, MPFR_RNDN);
        if (mpfr_get_si(r22955, MPFR_RNDN)) { mpfr_set(r22964, r22949, MPFR_RNDN); } else { mpfr_set(r22964, r22963, MPFR_RNDN); };
        if (mpfr_get_si(r22951, MPFR_RNDN)) { mpfr_set(r22965, r22953, MPFR_RNDN); } else { mpfr_set(r22965, r22964, MPFR_RNDN); };
        if (mpfr_get_si(r22932, MPFR_RNDN)) { mpfr_set(r22966, r22949, MPFR_RNDN); } else { mpfr_set(r22966, r22965, MPFR_RNDN); };
        return mpfr_get_d(r22966, MPFR_RNDN);
}

