#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 r21722 = 2;
        float r21723 = n;
        float r21724 = r21722 * r21723;
        float r21725 = U;
        float r21726 = r21724 * r21725;
        float r21727 = t;
        float r21728 = l;
        float r21729 = r21728 * r21728;
        float r21730 = Om;
        float r21731 = r21729 / r21730;
        float r21732 = r21722 * r21731;
        float r21733 = r21727 - r21732;
        float r21734 = r21728 / r21730;
        float r21735 = pow(r21734, r21722);
        float r21736 = r21723 * r21735;
        float r21737 = U_;
        float r21738 = r21725 - r21737;
        float r21739 = r21736 * r21738;
        float r21740 = r21733 - r21739;
        float r21741 = r21726 * r21740;
        float r21742 = sqrt(r21741);
        return r21742;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21743 = 2;
        double r21744 = n;
        double r21745 = r21743 * r21744;
        double r21746 = U;
        double r21747 = r21745 * r21746;
        double r21748 = t;
        double r21749 = l;
        double r21750 = r21749 * r21749;
        double r21751 = Om;
        double r21752 = r21750 / r21751;
        double r21753 = r21743 * r21752;
        double r21754 = r21748 - r21753;
        double r21755 = r21749 / r21751;
        double r21756 = pow(r21755, r21743);
        double r21757 = r21744 * r21756;
        double r21758 = U_;
        double r21759 = r21746 - r21758;
        double r21760 = r21757 * r21759;
        double r21761 = r21754 - r21760;
        double r21762 = r21747 * r21761;
        double r21763 = sqrt(r21762);
        return r21763;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21764 = n;
        float r21765 = U;
        float r21766 = r21765 + r21765;
        float r21767 = r21764 * r21766;
        float r21768 = -7.092271798027052e-223;
        bool r21769 = r21767 <= r21768;
        float r21770 = 2;
        float r21771 = r21770 * r21764;
        float r21772 = r21771 * r21765;
        float r21773 = t;
        float r21774 = l;
        float r21775 = Om;
        float r21776 = r21775 / r21774;
        float r21777 = r21774 / r21776;
        float r21778 = r21770 * r21777;
        float r21779 = r21773 - r21778;
        float r21780 = r21774 / r21775;
        float r21781 = pow(r21780, r21770);
        float r21782 = r21764 * r21781;
        float r21783 = U_;
        float r21784 = r21765 - r21783;
        float r21785 = r21782 * r21784;
        float r21786 = r21779 - r21785;
        float r21787 = r21772 * r21786;
        float r21788 = sqrt(r21787);
        float r21789 = 4.9406564584125e-323;
        bool r21790 = r21767 <= r21789;
        float r21791 = r21780 * r21764;
        float r21792 = r21784 * r21780;
        float r21793 = r21791 * r21792;
        float r21794 = 3;
        float r21795 = pow(r21793, r21794);
        float r21796 = cbrt(r21795);
        float r21797 = r21779 - r21796;
        float r21798 = r21765 * r21797;
        float r21799 = r21771 * r21798;
        float r21800 = sqrt(r21799);
        float r21801 = 3.324043045098474e+199;
        bool r21802 = r21767 <= r21801;
        float r21803 = sqrt(r21772);
        float r21804 = sqrt(r21786);
        float r21805 = r21803 * r21804;
        float r21806 = r21802 ? r21805 : r21800;
        float r21807 = r21790 ? r21800 : r21806;
        float r21808 = r21769 ? r21788 : r21807;
        return r21808;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21809 = n;
        double r21810 = U;
        double r21811 = r21810 + r21810;
        double r21812 = r21809 * r21811;
        double r21813 = -7.092271798027052e-223;
        bool r21814 = r21812 <= r21813;
        double r21815 = 2;
        double r21816 = r21815 * r21809;
        double r21817 = r21816 * r21810;
        double r21818 = t;
        double r21819 = l;
        double r21820 = Om;
        double r21821 = r21820 / r21819;
        double r21822 = r21819 / r21821;
        double r21823 = r21815 * r21822;
        double r21824 = r21818 - r21823;
        double r21825 = r21819 / r21820;
        double r21826 = pow(r21825, r21815);
        double r21827 = r21809 * r21826;
        double r21828 = U_;
        double r21829 = r21810 - r21828;
        double r21830 = r21827 * r21829;
        double r21831 = r21824 - r21830;
        double r21832 = r21817 * r21831;
        double r21833 = sqrt(r21832);
        double r21834 = 4.9406564584125e-323;
        bool r21835 = r21812 <= r21834;
        double r21836 = r21825 * r21809;
        double r21837 = r21829 * r21825;
        double r21838 = r21836 * r21837;
        double r21839 = 3;
        double r21840 = pow(r21838, r21839);
        double r21841 = cbrt(r21840);
        double r21842 = r21824 - r21841;
        double r21843 = r21810 * r21842;
        double r21844 = r21816 * r21843;
        double r21845 = sqrt(r21844);
        double r21846 = 3.324043045098474e+199;
        bool r21847 = r21812 <= r21846;
        double r21848 = sqrt(r21817);
        double r21849 = sqrt(r21831);
        double r21850 = r21848 * r21849;
        double r21851 = r21847 ? r21850 : r21845;
        double r21852 = r21835 ? r21845 : r21851;
        double r21853 = r21814 ? r21833 : r21852;
        return r21853;
}

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 r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21854, "2", 10, MPFR_RNDN);
        mpfr_init(r21855);
        mpfr_init(r21856);
        mpfr_init(r21857);
        mpfr_init(r21858);
        mpfr_init(r21859);
        mpfr_init(r21860);
        mpfr_init(r21861);
        mpfr_init(r21862);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init(r21866);
        mpfr_init(r21867);
        mpfr_init(r21868);
        mpfr_init(r21869);
        mpfr_init(r21870);
        mpfr_init(r21871);
        mpfr_init(r21872);
        mpfr_init(r21873);
        mpfr_init(r21874);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21855, n, MPFR_RNDN);
        mpfr_mul(r21856, r21854, r21855, MPFR_RNDN);
        mpfr_set_d(r21857, U, MPFR_RNDN);
        mpfr_mul(r21858, r21856, r21857, MPFR_RNDN);
        mpfr_set_d(r21859, t, MPFR_RNDN);
        mpfr_set_d(r21860, l, MPFR_RNDN);
        mpfr_mul(r21861, r21860, r21860, MPFR_RNDN);
        mpfr_set_d(r21862, Om, MPFR_RNDN);
        mpfr_div(r21863, r21861, r21862, MPFR_RNDN);
        mpfr_mul(r21864, r21854, r21863, MPFR_RNDN);
        mpfr_sub(r21865, r21859, r21864, MPFR_RNDN);
        mpfr_div(r21866, r21860, r21862, MPFR_RNDN);
        mpfr_pow(r21867, r21866, r21854, MPFR_RNDN);
        mpfr_mul(r21868, r21855, r21867, MPFR_RNDN);
        mpfr_set_d(r21869, U_, MPFR_RNDN);
        mpfr_sub(r21870, r21857, r21869, MPFR_RNDN);
        mpfr_mul(r21871, r21868, r21870, MPFR_RNDN);
        mpfr_sub(r21872, r21865, r21871, MPFR_RNDN);
        mpfr_mul(r21873, r21858, r21872, MPFR_RNDN);
        mpfr_sqrt(r21874, r21873, MPFR_RNDN);
        return mpfr_get_d(r21874, MPFR_RNDN);
}

static mpfr_t r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883, r21884, r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892, r21893, r21894, r21895, r21896, r21897, r21898, r21899, r21900, r21901, r21902, r21903, r21904, r21905, r21906, r21907, r21908, r21909, r21910, r21911, r21912, r21913, r21914, r21915, r21916, r21917, r21918, r21919;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21875);
        mpfr_init(r21876);
        mpfr_init(r21877);
        mpfr_init(r21878);
        mpfr_init_set_str(r21879, "-7.092271798027052e-223", 10, MPFR_RNDN);
        mpfr_init(r21880);
        mpfr_init_set_str(r21881, "2", 10, MPFR_RNDN);
        mpfr_init(r21882);
        mpfr_init(r21883);
        mpfr_init(r21884);
        mpfr_init(r21885);
        mpfr_init(r21886);
        mpfr_init(r21887);
        mpfr_init(r21888);
        mpfr_init(r21889);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init(r21892);
        mpfr_init(r21893);
        mpfr_init(r21894);
        mpfr_init(r21895);
        mpfr_init(r21896);
        mpfr_init(r21897);
        mpfr_init(r21898);
        mpfr_init(r21899);
        mpfr_init_set_str(r21900, "4.9406564584125e-323", 10, MPFR_RNDN);
        mpfr_init(r21901);
        mpfr_init(r21902);
        mpfr_init(r21903);
        mpfr_init(r21904);
        mpfr_init_set_str(r21905, "3", 10, MPFR_RNDN);
        mpfr_init(r21906);
        mpfr_init(r21907);
        mpfr_init(r21908);
        mpfr_init(r21909);
        mpfr_init(r21910);
        mpfr_init(r21911);
        mpfr_init_set_str(r21912, "3.324043045098474e+199", 10, MPFR_RNDN);
        mpfr_init(r21913);
        mpfr_init(r21914);
        mpfr_init(r21915);
        mpfr_init(r21916);
        mpfr_init(r21917);
        mpfr_init(r21918);
        mpfr_init(r21919);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21875, n, MPFR_RNDN);
        mpfr_set_d(r21876, U, MPFR_RNDN);
        mpfr_add(r21877, r21876, r21876, MPFR_RNDN);
        mpfr_mul(r21878, r21875, r21877, MPFR_RNDN);
        ;
        mpfr_set_si(r21880, mpfr_cmp(r21878, r21879) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21882, r21881, r21875, MPFR_RNDN);
        mpfr_mul(r21883, r21882, r21876, MPFR_RNDN);
        mpfr_set_d(r21884, t, MPFR_RNDN);
        mpfr_set_d(r21885, l, MPFR_RNDN);
        mpfr_set_d(r21886, Om, MPFR_RNDN);
        mpfr_div(r21887, r21886, r21885, MPFR_RNDN);
        mpfr_div(r21888, r21885, r21887, MPFR_RNDN);
        mpfr_mul(r21889, r21881, r21888, MPFR_RNDN);
        mpfr_sub(r21890, r21884, r21889, MPFR_RNDN);
        mpfr_div(r21891, r21885, r21886, MPFR_RNDN);
        mpfr_pow(r21892, r21891, r21881, MPFR_RNDN);
        mpfr_mul(r21893, r21875, r21892, MPFR_RNDN);
        mpfr_set_d(r21894, U_, MPFR_RNDN);
        mpfr_sub(r21895, r21876, r21894, MPFR_RNDN);
        mpfr_mul(r21896, r21893, r21895, MPFR_RNDN);
        mpfr_sub(r21897, r21890, r21896, MPFR_RNDN);
        mpfr_mul(r21898, r21883, r21897, MPFR_RNDN);
        mpfr_sqrt(r21899, r21898, MPFR_RNDN);
        ;
        mpfr_set_si(r21901, mpfr_cmp(r21878, r21900) <= 0, MPFR_RNDN);
        mpfr_mul(r21902, r21891, r21875, MPFR_RNDN);
        mpfr_mul(r21903, r21895, r21891, MPFR_RNDN);
        mpfr_mul(r21904, r21902, r21903, MPFR_RNDN);
        ;
        mpfr_pow(r21906, r21904, r21905, MPFR_RNDN);
        mpfr_cbrt(r21907, r21906, MPFR_RNDN);
        mpfr_sub(r21908, r21890, r21907, MPFR_RNDN);
        mpfr_mul(r21909, r21876, r21908, MPFR_RNDN);
        mpfr_mul(r21910, r21882, r21909, MPFR_RNDN);
        mpfr_sqrt(r21911, r21910, MPFR_RNDN);
        ;
        mpfr_set_si(r21913, mpfr_cmp(r21878, r21912) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21914, r21883, MPFR_RNDN);
        mpfr_sqrt(r21915, r21897, MPFR_RNDN);
        mpfr_mul(r21916, r21914, r21915, MPFR_RNDN);
        if (mpfr_get_si(r21913, MPFR_RNDN)) { mpfr_set(r21917, r21916, MPFR_RNDN); } else { mpfr_set(r21917, r21911, MPFR_RNDN); };
        if (mpfr_get_si(r21901, MPFR_RNDN)) { mpfr_set(r21918, r21911, MPFR_RNDN); } else { mpfr_set(r21918, r21917, MPFR_RNDN); };
        if (mpfr_get_si(r21880, MPFR_RNDN)) { mpfr_set(r21919, r21899, MPFR_RNDN); } else { mpfr_set(r21919, r21918, MPFR_RNDN); };
        return mpfr_get_d(r21919, MPFR_RNDN);
}

static mpfr_t r21920, r21921, r21922, r21923, r21924, r21925, r21926, r21927, r21928, r21929, r21930, r21931, r21932, r21933, r21934, r21935, r21936, r21937, r21938, r21939, r21940, r21941, r21942, r21943, r21944, r21945, r21946, r21947, r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962, r21963, r21964;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21920);
        mpfr_init(r21921);
        mpfr_init(r21922);
        mpfr_init(r21923);
        mpfr_init_set_str(r21924, "-7.092271798027052e-223", 10, MPFR_RNDN);
        mpfr_init(r21925);
        mpfr_init_set_str(r21926, "2", 10, MPFR_RNDN);
        mpfr_init(r21927);
        mpfr_init(r21928);
        mpfr_init(r21929);
        mpfr_init(r21930);
        mpfr_init(r21931);
        mpfr_init(r21932);
        mpfr_init(r21933);
        mpfr_init(r21934);
        mpfr_init(r21935);
        mpfr_init(r21936);
        mpfr_init(r21937);
        mpfr_init(r21938);
        mpfr_init(r21939);
        mpfr_init(r21940);
        mpfr_init(r21941);
        mpfr_init(r21942);
        mpfr_init(r21943);
        mpfr_init(r21944);
        mpfr_init_set_str(r21945, "4.9406564584125e-323", 10, MPFR_RNDN);
        mpfr_init(r21946);
        mpfr_init(r21947);
        mpfr_init(r21948);
        mpfr_init(r21949);
        mpfr_init_set_str(r21950, "3", 10, MPFR_RNDN);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init_set_str(r21957, "3.324043045098474e+199", 10, MPFR_RNDN);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init(r21960);
        mpfr_init(r21961);
        mpfr_init(r21962);
        mpfr_init(r21963);
        mpfr_init(r21964);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21920, n, MPFR_RNDN);
        mpfr_set_d(r21921, U, MPFR_RNDN);
        mpfr_add(r21922, r21921, r21921, MPFR_RNDN);
        mpfr_mul(r21923, r21920, r21922, MPFR_RNDN);
        ;
        mpfr_set_si(r21925, mpfr_cmp(r21923, r21924) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21927, r21926, r21920, MPFR_RNDN);
        mpfr_mul(r21928, r21927, r21921, MPFR_RNDN);
        mpfr_set_d(r21929, t, MPFR_RNDN);
        mpfr_set_d(r21930, l, MPFR_RNDN);
        mpfr_set_d(r21931, Om, MPFR_RNDN);
        mpfr_div(r21932, r21931, r21930, MPFR_RNDN);
        mpfr_div(r21933, r21930, r21932, MPFR_RNDN);
        mpfr_mul(r21934, r21926, r21933, MPFR_RNDN);
        mpfr_sub(r21935, r21929, r21934, MPFR_RNDN);
        mpfr_div(r21936, r21930, r21931, MPFR_RNDN);
        mpfr_pow(r21937, r21936, r21926, MPFR_RNDN);
        mpfr_mul(r21938, r21920, r21937, MPFR_RNDN);
        mpfr_set_d(r21939, U_, MPFR_RNDN);
        mpfr_sub(r21940, r21921, r21939, MPFR_RNDN);
        mpfr_mul(r21941, r21938, r21940, MPFR_RNDN);
        mpfr_sub(r21942, r21935, r21941, MPFR_RNDN);
        mpfr_mul(r21943, r21928, r21942, MPFR_RNDN);
        mpfr_sqrt(r21944, r21943, MPFR_RNDN);
        ;
        mpfr_set_si(r21946, mpfr_cmp(r21923, r21945) <= 0, MPFR_RNDN);
        mpfr_mul(r21947, r21936, r21920, MPFR_RNDN);
        mpfr_mul(r21948, r21940, r21936, MPFR_RNDN);
        mpfr_mul(r21949, r21947, r21948, MPFR_RNDN);
        ;
        mpfr_pow(r21951, r21949, r21950, MPFR_RNDN);
        mpfr_cbrt(r21952, r21951, MPFR_RNDN);
        mpfr_sub(r21953, r21935, r21952, MPFR_RNDN);
        mpfr_mul(r21954, r21921, r21953, MPFR_RNDN);
        mpfr_mul(r21955, r21927, r21954, MPFR_RNDN);
        mpfr_sqrt(r21956, r21955, MPFR_RNDN);
        ;
        mpfr_set_si(r21958, mpfr_cmp(r21923, r21957) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21959, r21928, MPFR_RNDN);
        mpfr_sqrt(r21960, r21942, MPFR_RNDN);
        mpfr_mul(r21961, r21959, r21960, MPFR_RNDN);
        if (mpfr_get_si(r21958, MPFR_RNDN)) { mpfr_set(r21962, r21961, MPFR_RNDN); } else { mpfr_set(r21962, r21956, MPFR_RNDN); };
        if (mpfr_get_si(r21946, MPFR_RNDN)) { mpfr_set(r21963, r21956, MPFR_RNDN); } else { mpfr_set(r21963, r21962, MPFR_RNDN); };
        if (mpfr_get_si(r21925, MPFR_RNDN)) { mpfr_set(r21964, r21944, MPFR_RNDN); } else { mpfr_set(r21964, r21963, MPFR_RNDN); };
        return mpfr_get_d(r21964, MPFR_RNDN);
}