#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 r22756 = 2;
        float r22757 = n;
        float r22758 = r22756 * r22757;
        float r22759 = U;
        float r22760 = r22758 * r22759;
        float r22761 = t;
        float r22762 = l;
        float r22763 = r22762 * r22762;
        float r22764 = Om;
        float r22765 = r22763 / r22764;
        float r22766 = r22756 * r22765;
        float r22767 = r22761 - r22766;
        float r22768 = r22762 / r22764;
        float r22769 = pow(r22768, r22756);
        float r22770 = r22757 * r22769;
        float r22771 = U_;
        float r22772 = r22759 - r22771;
        float r22773 = r22770 * r22772;
        float r22774 = r22767 - r22773;
        float r22775 = r22760 * r22774;
        float r22776 = sqrt(r22775);
        return r22776;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22777 = 2;
        double r22778 = n;
        double r22779 = r22777 * r22778;
        double r22780 = U;
        double r22781 = r22779 * r22780;
        double r22782 = t;
        double r22783 = l;
        double r22784 = r22783 * r22783;
        double r22785 = Om;
        double r22786 = r22784 / r22785;
        double r22787 = r22777 * r22786;
        double r22788 = r22782 - r22787;
        double r22789 = r22783 / r22785;
        double r22790 = pow(r22789, r22777);
        double r22791 = r22778 * r22790;
        double r22792 = U_;
        double r22793 = r22780 - r22792;
        double r22794 = r22791 * r22793;
        double r22795 = r22788 - r22794;
        double r22796 = r22781 * r22795;
        double r22797 = sqrt(r22796);
        return r22797;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22798 = n;
        float r22799 = 2;
        float r22800 = r22798 * r22799;
        float r22801 = U;
        float r22802 = r22800 * r22801;
        float r22803 = -2.1620524741345878e+33;
        bool r22804 = r22802 <= r22803;
        float r22805 = r22799 * r22798;
        float r22806 = t;
        float r22807 = l;
        float r22808 = Om;
        float r22809 = r22807 / r22808;
        float r22810 = r22799 * r22807;
        float r22811 = r22809 * r22810;
        float r22812 = r22806 - r22811;
        float r22813 = r22809 * r22798;
        float r22814 = U_;
        float r22815 = r22801 - r22814;
        float r22816 = r22809 * r22815;
        float r22817 = r22813 * r22816;
        float r22818 = r22812 - r22817;
        float r22819 = r22818 * r22801;
        float r22820 = r22805 * r22819;
        float r22821 = sqrt(r22820);
        float r22822 = -4.918819818914219e-91;
        bool r22823 = r22802 <= r22822;
        float r22824 = r22802 * r22812;
        float r22825 = sqrt(r22824);
        float r22826 = 1.3750517132783e-311;
        bool r22827 = r22802 <= r22826;
        float r22828 = r22805 * r22801;
        float r22829 = sqrt(r22828);
        float r22830 = r22807 * r22799;
        float r22831 = r22809 * r22830;
        float r22832 = r22806 - r22831;
        float r22833 = r22832 - r22817;
        float r22834 = sqrt(r22833);
        float r22835 = r22829 * r22834;
        float r22836 = r22827 ? r22821 : r22835;
        float r22837 = r22823 ? r22825 : r22836;
        float r22838 = r22804 ? r22821 : r22837;
        return r22838;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22839 = n;
        double r22840 = 2;
        double r22841 = r22839 * r22840;
        double r22842 = U;
        double r22843 = r22841 * r22842;
        double r22844 = -2.1620524741345878e+33;
        bool r22845 = r22843 <= r22844;
        double r22846 = r22840 * r22839;
        double r22847 = t;
        double r22848 = l;
        double r22849 = Om;
        double r22850 = r22848 / r22849;
        double r22851 = r22840 * r22848;
        double r22852 = r22850 * r22851;
        double r22853 = r22847 - r22852;
        double r22854 = r22850 * r22839;
        double r22855 = U_;
        double r22856 = r22842 - r22855;
        double r22857 = r22850 * r22856;
        double r22858 = r22854 * r22857;
        double r22859 = r22853 - r22858;
        double r22860 = r22859 * r22842;
        double r22861 = r22846 * r22860;
        double r22862 = sqrt(r22861);
        double r22863 = -4.918819818914219e-91;
        bool r22864 = r22843 <= r22863;
        double r22865 = r22843 * r22853;
        double r22866 = sqrt(r22865);
        double r22867 = 1.3750517132783e-311;
        bool r22868 = r22843 <= r22867;
        double r22869 = r22846 * r22842;
        double r22870 = sqrt(r22869);
        double r22871 = r22848 * r22840;
        double r22872 = r22850 * r22871;
        double r22873 = r22847 - r22872;
        double r22874 = r22873 - r22858;
        double r22875 = sqrt(r22874);
        double r22876 = r22870 * r22875;
        double r22877 = r22868 ? r22862 : r22876;
        double r22878 = r22864 ? r22866 : r22877;
        double r22879 = r22845 ? r22862 : r22878;
        return r22879;
}

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 r22880, r22881, r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890, r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22880, "2", 10, MPFR_RNDN);
        mpfr_init(r22881);
        mpfr_init(r22882);
        mpfr_init(r22883);
        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(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22881, n, MPFR_RNDN);
        mpfr_mul(r22882, r22880, r22881, MPFR_RNDN);
        mpfr_set_d(r22883, U, MPFR_RNDN);
        mpfr_mul(r22884, r22882, r22883, MPFR_RNDN);
        mpfr_set_d(r22885, t, MPFR_RNDN);
        mpfr_set_d(r22886, l, MPFR_RNDN);
        mpfr_mul(r22887, r22886, r22886, MPFR_RNDN);
        mpfr_set_d(r22888, Om, MPFR_RNDN);
        mpfr_div(r22889, r22887, r22888, MPFR_RNDN);
        mpfr_mul(r22890, r22880, r22889, MPFR_RNDN);
        mpfr_sub(r22891, r22885, r22890, MPFR_RNDN);
        mpfr_div(r22892, r22886, r22888, MPFR_RNDN);
        mpfr_pow(r22893, r22892, r22880, MPFR_RNDN);
        mpfr_mul(r22894, r22881, r22893, MPFR_RNDN);
        mpfr_set_d(r22895, U_, MPFR_RNDN);
        mpfr_sub(r22896, r22883, r22895, MPFR_RNDN);
        mpfr_mul(r22897, r22894, r22896, MPFR_RNDN);
        mpfr_sub(r22898, r22891, r22897, MPFR_RNDN);
        mpfr_mul(r22899, r22884, r22898, MPFR_RNDN);
        mpfr_sqrt(r22900, r22899, MPFR_RNDN);
        return mpfr_get_d(r22900, MPFR_RNDN);
}

static mpfr_t 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, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940, r22941;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22901);
        mpfr_init_set_str(r22902, "2", 10, MPFR_RNDN);
        mpfr_init(r22903);
        mpfr_init(r22904);
        mpfr_init(r22905);
        mpfr_init_set_str(r22906, "-2.1620524741345878e+33", 10, MPFR_RNDN);
        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_set_str(r22925, "-4.918819818914219e-91", 10, MPFR_RNDN);
        mpfr_init(r22926);
        mpfr_init(r22927);
        mpfr_init(r22928);
        mpfr_init_set_str(r22929, "1.3750517132783e-311", 10, MPFR_RNDN);
        mpfr_init(r22930);
        mpfr_init(r22931);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22901, n, MPFR_RNDN);
        ;
        mpfr_mul(r22903, r22901, r22902, MPFR_RNDN);
        mpfr_set_d(r22904, U, MPFR_RNDN);
        mpfr_mul(r22905, r22903, r22904, MPFR_RNDN);
        ;
        mpfr_set_si(r22907, mpfr_cmp(r22905, r22906) <= 0, MPFR_RNDN);
        mpfr_mul(r22908, r22902, r22901, MPFR_RNDN);
        mpfr_set_d(r22909, t, MPFR_RNDN);
        mpfr_set_d(r22910, l, MPFR_RNDN);
        mpfr_set_d(r22911, Om, MPFR_RNDN);
        mpfr_div(r22912, r22910, r22911, MPFR_RNDN);
        mpfr_mul(r22913, r22902, r22910, MPFR_RNDN);
        mpfr_mul(r22914, r22912, r22913, MPFR_RNDN);
        mpfr_sub(r22915, r22909, r22914, MPFR_RNDN);
        mpfr_mul(r22916, r22912, r22901, MPFR_RNDN);
        mpfr_set_d(r22917, U_, MPFR_RNDN);
        mpfr_sub(r22918, r22904, r22917, MPFR_RNDN);
        mpfr_mul(r22919, r22912, r22918, MPFR_RNDN);
        mpfr_mul(r22920, r22916, r22919, MPFR_RNDN);
        mpfr_sub(r22921, r22915, r22920, MPFR_RNDN);
        mpfr_mul(r22922, r22921, r22904, MPFR_RNDN);
        mpfr_mul(r22923, r22908, r22922, MPFR_RNDN);
        mpfr_sqrt(r22924, r22923, MPFR_RNDN);
        ;
        mpfr_set_si(r22926, mpfr_cmp(r22905, r22925) <= 0, MPFR_RNDN);
        mpfr_mul(r22927, r22905, r22915, MPFR_RNDN);
        mpfr_sqrt(r22928, r22927, MPFR_RNDN);
        ;
        mpfr_set_si(r22930, mpfr_cmp(r22905, r22929) <= 0, MPFR_RNDN);
        mpfr_mul(r22931, r22908, r22904, MPFR_RNDN);
        mpfr_sqrt(r22932, r22931, MPFR_RNDN);
        mpfr_mul(r22933, r22910, r22902, MPFR_RNDN);
        mpfr_mul(r22934, r22912, r22933, MPFR_RNDN);
        mpfr_sub(r22935, r22909, r22934, MPFR_RNDN);
        mpfr_sub(r22936, r22935, r22920, MPFR_RNDN);
        mpfr_sqrt(r22937, r22936, MPFR_RNDN);
        mpfr_mul(r22938, r22932, r22937, MPFR_RNDN);
        if (mpfr_get_si(r22930, MPFR_RNDN)) { mpfr_set(r22939, r22924, MPFR_RNDN); } else { mpfr_set(r22939, r22938, MPFR_RNDN); };
        if (mpfr_get_si(r22926, MPFR_RNDN)) { mpfr_set(r22940, r22928, MPFR_RNDN); } else { mpfr_set(r22940, r22939, MPFR_RNDN); };
        if (mpfr_get_si(r22907, MPFR_RNDN)) { mpfr_set(r22941, r22924, MPFR_RNDN); } else { mpfr_set(r22941, r22940, MPFR_RNDN); };
        return mpfr_get_d(r22941, MPFR_RNDN);
}

static mpfr_t 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, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22942);
        mpfr_init_set_str(r22943, "2", 10, MPFR_RNDN);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init_set_str(r22947, "-2.1620524741345878e+33", 10, MPFR_RNDN);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        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_set_str(r22966, "-4.918819818914219e-91", 10, MPFR_RNDN);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init_set_str(r22970, "1.3750517132783e-311", 10, MPFR_RNDN);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init(r22981);
        mpfr_init(r22982);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22942, n, MPFR_RNDN);
        ;
        mpfr_mul(r22944, r22942, r22943, MPFR_RNDN);
        mpfr_set_d(r22945, U, MPFR_RNDN);
        mpfr_mul(r22946, r22944, r22945, MPFR_RNDN);
        ;
        mpfr_set_si(r22948, mpfr_cmp(r22946, r22947) <= 0, MPFR_RNDN);
        mpfr_mul(r22949, r22943, r22942, MPFR_RNDN);
        mpfr_set_d(r22950, t, MPFR_RNDN);
        mpfr_set_d(r22951, l, MPFR_RNDN);
        mpfr_set_d(r22952, Om, MPFR_RNDN);
        mpfr_div(r22953, r22951, r22952, MPFR_RNDN);
        mpfr_mul(r22954, r22943, r22951, MPFR_RNDN);
        mpfr_mul(r22955, r22953, r22954, MPFR_RNDN);
        mpfr_sub(r22956, r22950, r22955, MPFR_RNDN);
        mpfr_mul(r22957, r22953, r22942, MPFR_RNDN);
        mpfr_set_d(r22958, U_, MPFR_RNDN);
        mpfr_sub(r22959, r22945, r22958, MPFR_RNDN);
        mpfr_mul(r22960, r22953, r22959, MPFR_RNDN);
        mpfr_mul(r22961, r22957, r22960, MPFR_RNDN);
        mpfr_sub(r22962, r22956, r22961, MPFR_RNDN);
        mpfr_mul(r22963, r22962, r22945, MPFR_RNDN);
        mpfr_mul(r22964, r22949, r22963, MPFR_RNDN);
        mpfr_sqrt(r22965, r22964, MPFR_RNDN);
        ;
        mpfr_set_si(r22967, mpfr_cmp(r22946, r22966) <= 0, MPFR_RNDN);
        mpfr_mul(r22968, r22946, r22956, MPFR_RNDN);
        mpfr_sqrt(r22969, r22968, MPFR_RNDN);
        ;
        mpfr_set_si(r22971, mpfr_cmp(r22946, r22970) <= 0, MPFR_RNDN);
        mpfr_mul(r22972, r22949, r22945, MPFR_RNDN);
        mpfr_sqrt(r22973, r22972, MPFR_RNDN);
        mpfr_mul(r22974, r22951, r22943, MPFR_RNDN);
        mpfr_mul(r22975, r22953, r22974, MPFR_RNDN);
        mpfr_sub(r22976, r22950, r22975, MPFR_RNDN);
        mpfr_sub(r22977, r22976, r22961, MPFR_RNDN);
        mpfr_sqrt(r22978, r22977, MPFR_RNDN);
        mpfr_mul(r22979, r22973, r22978, MPFR_RNDN);
        if (mpfr_get_si(r22971, MPFR_RNDN)) { mpfr_set(r22980, r22965, MPFR_RNDN); } else { mpfr_set(r22980, r22979, MPFR_RNDN); };
        if (mpfr_get_si(r22967, MPFR_RNDN)) { mpfr_set(r22981, r22969, MPFR_RNDN); } else { mpfr_set(r22981, r22980, MPFR_RNDN); };
        if (mpfr_get_si(r22948, MPFR_RNDN)) { mpfr_set(r22982, r22965, MPFR_RNDN); } else { mpfr_set(r22982, r22981, MPFR_RNDN); };
        return mpfr_get_d(r22982, MPFR_RNDN);
}

