#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 r21733 = 2;
        float r21734 = n;
        float r21735 = r21733 * r21734;
        float r21736 = U;
        float r21737 = r21735 * r21736;
        float r21738 = t;
        float r21739 = l;
        float r21740 = r21739 * r21739;
        float r21741 = Om;
        float r21742 = r21740 / r21741;
        float r21743 = r21733 * r21742;
        float r21744 = r21738 - r21743;
        float r21745 = r21739 / r21741;
        float r21746 = pow(r21745, r21733);
        float r21747 = r21734 * r21746;
        float r21748 = U_;
        float r21749 = r21736 - r21748;
        float r21750 = r21747 * r21749;
        float r21751 = r21744 - r21750;
        float r21752 = r21737 * r21751;
        float r21753 = sqrt(r21752);
        return r21753;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21754 = 2;
        double r21755 = n;
        double r21756 = r21754 * r21755;
        double r21757 = U;
        double r21758 = r21756 * r21757;
        double r21759 = t;
        double r21760 = l;
        double r21761 = r21760 * r21760;
        double r21762 = Om;
        double r21763 = r21761 / r21762;
        double r21764 = r21754 * r21763;
        double r21765 = r21759 - r21764;
        double r21766 = r21760 / r21762;
        double r21767 = pow(r21766, r21754);
        double r21768 = r21755 * r21767;
        double r21769 = U_;
        double r21770 = r21757 - r21769;
        double r21771 = r21768 * r21770;
        double r21772 = r21765 - r21771;
        double r21773 = r21758 * r21772;
        double r21774 = sqrt(r21773);
        return r21774;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21775 = 2;
        float r21776 = n;
        float r21777 = r21775 * r21776;
        float r21778 = sqrt(r21777);
        float r21779 = U;
        float r21780 = t;
        float r21781 = l;
        float r21782 = r21781 * r21781;
        float r21783 = Om;
        float r21784 = r21782 / r21783;
        float r21785 = r21775 * r21784;
        float r21786 = r21780 - r21785;
        float r21787 = r21781 / r21783;
        float r21788 = r21776 * r21787;
        float r21789 = U_;
        float r21790 = r21779 - r21789;
        float r21791 = r21787 * r21790;
        float r21792 = r21788 * r21791;
        float r21793 = r21786 - r21792;
        float r21794 = r21779 * r21793;
        float r21795 = sqrt(r21794);
        float r21796 = r21778 * r21795;
        float r21797 = 0.0;
        bool r21798 = r21796 <= r21797;
        float r21799 = r21777 * r21779;
        float r21800 = sqrt(r21799);
        float r21801 = pow(r21787, r21775);
        float r21802 = r21776 * r21801;
        float r21803 = r21802 * r21790;
        float r21804 = r21786 - r21803;
        float r21805 = sqrt(r21804);
        float r21806 = r21800 * r21805;
        float r21807 = +inf.0;
        bool r21808 = r21796 <= r21807;
        float r21809 = r21783 / r21781;
        float r21810 = r21781 / r21809;
        float r21811 = r21775 * r21810;
        float r21812 = r21780 - r21811;
        float r21813 = r21812 - r21803;
        float r21814 = r21779 * r21813;
        float r21815 = r21777 * r21814;
        float r21816 = sqrt(r21815);
        float r21817 = r21808 ? r21796 : r21816;
        float r21818 = r21798 ? r21806 : r21817;
        return r21818;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21819 = 2;
        double r21820 = n;
        double r21821 = r21819 * r21820;
        double r21822 = sqrt(r21821);
        double r21823 = U;
        double r21824 = t;
        double r21825 = l;
        double r21826 = r21825 * r21825;
        double r21827 = Om;
        double r21828 = r21826 / r21827;
        double r21829 = r21819 * r21828;
        double r21830 = r21824 - r21829;
        double r21831 = r21825 / r21827;
        double r21832 = r21820 * r21831;
        double r21833 = U_;
        double r21834 = r21823 - r21833;
        double r21835 = r21831 * r21834;
        double r21836 = r21832 * r21835;
        double r21837 = r21830 - r21836;
        double r21838 = r21823 * r21837;
        double r21839 = sqrt(r21838);
        double r21840 = r21822 * r21839;
        double r21841 = 0.0;
        bool r21842 = r21840 <= r21841;
        double r21843 = r21821 * r21823;
        double r21844 = sqrt(r21843);
        double r21845 = pow(r21831, r21819);
        double r21846 = r21820 * r21845;
        double r21847 = r21846 * r21834;
        double r21848 = r21830 - r21847;
        double r21849 = sqrt(r21848);
        double r21850 = r21844 * r21849;
        double r21851 = +inf.0;
        bool r21852 = r21840 <= r21851;
        double r21853 = r21827 / r21825;
        double r21854 = r21825 / r21853;
        double r21855 = r21819 * r21854;
        double r21856 = r21824 - r21855;
        double r21857 = r21856 - r21847;
        double r21858 = r21823 * r21857;
        double r21859 = r21821 * r21858;
        double r21860 = sqrt(r21859);
        double r21861 = r21852 ? r21840 : r21860;
        double r21862 = r21842 ? r21850 : r21861;
        return r21862;
}

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 r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21863, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21875);
        mpfr_init(r21876);
        mpfr_init(r21877);
        mpfr_init(r21878);
        mpfr_init(r21879);
        mpfr_init(r21880);
        mpfr_init(r21881);
        mpfr_init(r21882);
        mpfr_init(r21883);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21864, n, MPFR_RNDN);
        mpfr_mul(r21865, r21863, r21864, MPFR_RNDN);
        mpfr_set_d(r21866, U, MPFR_RNDN);
        mpfr_mul(r21867, r21865, r21866, MPFR_RNDN);
        mpfr_set_d(r21868, t, MPFR_RNDN);
        mpfr_set_d(r21869, l, MPFR_RNDN);
        mpfr_mul(r21870, r21869, r21869, MPFR_RNDN);
        mpfr_set_d(r21871, Om, MPFR_RNDN);
        mpfr_div(r21872, r21870, r21871, MPFR_RNDN);
        mpfr_mul(r21873, r21863, r21872, MPFR_RNDN);
        mpfr_sub(r21874, r21868, r21873, MPFR_RNDN);
        mpfr_div(r21875, r21869, r21871, MPFR_RNDN);
        mpfr_pow(r21876, r21875, r21863, MPFR_RNDN);
        mpfr_mul(r21877, r21864, r21876, MPFR_RNDN);
        mpfr_set_d(r21878, U_, MPFR_RNDN);
        mpfr_sub(r21879, r21866, r21878, MPFR_RNDN);
        mpfr_mul(r21880, r21877, r21879, MPFR_RNDN);
        mpfr_sub(r21881, r21874, r21880, MPFR_RNDN);
        mpfr_mul(r21882, r21867, r21881, MPFR_RNDN);
        mpfr_sqrt(r21883, r21882, MPFR_RNDN);
        return mpfr_get_d(r21883, MPFR_RNDN);
}

static mpfr_t 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, r21920, r21921, r21922, r21923, r21924, r21925, r21926, r21927;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21884, "2", 10, MPFR_RNDN);
        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(r21900);
        mpfr_init(r21901);
        mpfr_init(r21902);
        mpfr_init(r21903);
        mpfr_init(r21904);
        mpfr_init(r21905);
        mpfr_init_set_str(r21906, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21907);
        mpfr_init(r21908);
        mpfr_init(r21909);
        mpfr_init(r21910);
        mpfr_init(r21911);
        mpfr_init(r21912);
        mpfr_init(r21913);
        mpfr_init(r21914);
        mpfr_init(r21915);
        mpfr_init_set_str(r21916, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r21917);
        mpfr_init(r21918);
        mpfr_init(r21919);
        mpfr_init(r21920);
        mpfr_init(r21921);
        mpfr_init(r21922);
        mpfr_init(r21923);
        mpfr_init(r21924);
        mpfr_init(r21925);
        mpfr_init(r21926);
        mpfr_init(r21927);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21885, n, MPFR_RNDN);
        mpfr_mul(r21886, r21884, r21885, MPFR_RNDN);
        mpfr_sqrt(r21887, r21886, MPFR_RNDN);
        mpfr_set_d(r21888, U, MPFR_RNDN);
        mpfr_set_d(r21889, t, MPFR_RNDN);
        mpfr_set_d(r21890, l, MPFR_RNDN);
        mpfr_mul(r21891, r21890, r21890, MPFR_RNDN);
        mpfr_set_d(r21892, Om, MPFR_RNDN);
        mpfr_div(r21893, r21891, r21892, MPFR_RNDN);
        mpfr_mul(r21894, r21884, r21893, MPFR_RNDN);
        mpfr_sub(r21895, r21889, r21894, MPFR_RNDN);
        mpfr_div(r21896, r21890, r21892, MPFR_RNDN);
        mpfr_mul(r21897, r21885, r21896, MPFR_RNDN);
        mpfr_set_d(r21898, U_, MPFR_RNDN);
        mpfr_sub(r21899, r21888, r21898, MPFR_RNDN);
        mpfr_mul(r21900, r21896, r21899, MPFR_RNDN);
        mpfr_mul(r21901, r21897, r21900, MPFR_RNDN);
        mpfr_sub(r21902, r21895, r21901, MPFR_RNDN);
        mpfr_mul(r21903, r21888, r21902, MPFR_RNDN);
        mpfr_sqrt(r21904, r21903, MPFR_RNDN);
        mpfr_mul(r21905, r21887, r21904, MPFR_RNDN);
        ;
        mpfr_set_si(r21907, mpfr_cmp(r21905, r21906) <= 0, MPFR_RNDN);
        mpfr_mul(r21908, r21886, r21888, MPFR_RNDN);
        mpfr_sqrt(r21909, r21908, MPFR_RNDN);
        mpfr_pow(r21910, r21896, r21884, MPFR_RNDN);
        mpfr_mul(r21911, r21885, r21910, MPFR_RNDN);
        mpfr_mul(r21912, r21911, r21899, MPFR_RNDN);
        mpfr_sub(r21913, r21895, r21912, MPFR_RNDN);
        mpfr_sqrt(r21914, r21913, MPFR_RNDN);
        mpfr_mul(r21915, r21909, r21914, MPFR_RNDN);
        ;
        mpfr_set_si(r21917, mpfr_cmp(r21905, r21916) <= 0, MPFR_RNDN);
        mpfr_div(r21918, r21892, r21890, MPFR_RNDN);
        mpfr_div(r21919, r21890, r21918, MPFR_RNDN);
        mpfr_mul(r21920, r21884, r21919, MPFR_RNDN);
        mpfr_sub(r21921, r21889, r21920, MPFR_RNDN);
        mpfr_sub(r21922, r21921, r21912, MPFR_RNDN);
        mpfr_mul(r21923, r21888, r21922, MPFR_RNDN);
        mpfr_mul(r21924, r21886, r21923, MPFR_RNDN);
        mpfr_sqrt(r21925, r21924, MPFR_RNDN);
        if (mpfr_get_si(r21917, MPFR_RNDN)) { mpfr_set(r21926, r21905, MPFR_RNDN); } else { mpfr_set(r21926, r21925, MPFR_RNDN); };
        if (mpfr_get_si(r21907, MPFR_RNDN)) { mpfr_set(r21927, r21915, MPFR_RNDN); } else { mpfr_set(r21927, r21926, MPFR_RNDN); };
        return mpfr_get_d(r21927, MPFR_RNDN);
}

static mpfr_t 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, r21965, r21966, r21967, r21968, r21969, r21970, r21971;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21928, "2", 10, MPFR_RNDN);
        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(r21945);
        mpfr_init(r21946);
        mpfr_init(r21947);
        mpfr_init(r21948);
        mpfr_init(r21949);
        mpfr_init_set_str(r21950, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init(r21957);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init_set_str(r21960, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r21961);
        mpfr_init(r21962);
        mpfr_init(r21963);
        mpfr_init(r21964);
        mpfr_init(r21965);
        mpfr_init(r21966);
        mpfr_init(r21967);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21929, n, MPFR_RNDN);
        mpfr_mul(r21930, r21928, r21929, MPFR_RNDN);
        mpfr_sqrt(r21931, r21930, MPFR_RNDN);
        mpfr_set_d(r21932, U, MPFR_RNDN);
        mpfr_set_d(r21933, t, MPFR_RNDN);
        mpfr_set_d(r21934, l, MPFR_RNDN);
        mpfr_mul(r21935, r21934, r21934, MPFR_RNDN);
        mpfr_set_d(r21936, Om, MPFR_RNDN);
        mpfr_div(r21937, r21935, r21936, MPFR_RNDN);
        mpfr_mul(r21938, r21928, r21937, MPFR_RNDN);
        mpfr_sub(r21939, r21933, r21938, MPFR_RNDN);
        mpfr_div(r21940, r21934, r21936, MPFR_RNDN);
        mpfr_mul(r21941, r21929, r21940, MPFR_RNDN);
        mpfr_set_d(r21942, U_, MPFR_RNDN);
        mpfr_sub(r21943, r21932, r21942, MPFR_RNDN);
        mpfr_mul(r21944, r21940, r21943, MPFR_RNDN);
        mpfr_mul(r21945, r21941, r21944, MPFR_RNDN);
        mpfr_sub(r21946, r21939, r21945, MPFR_RNDN);
        mpfr_mul(r21947, r21932, r21946, MPFR_RNDN);
        mpfr_sqrt(r21948, r21947, MPFR_RNDN);
        mpfr_mul(r21949, r21931, r21948, MPFR_RNDN);
        ;
        mpfr_set_si(r21951, mpfr_cmp(r21949, r21950) <= 0, MPFR_RNDN);
        mpfr_mul(r21952, r21930, r21932, MPFR_RNDN);
        mpfr_sqrt(r21953, r21952, MPFR_RNDN);
        mpfr_pow(r21954, r21940, r21928, MPFR_RNDN);
        mpfr_mul(r21955, r21929, r21954, MPFR_RNDN);
        mpfr_mul(r21956, r21955, r21943, MPFR_RNDN);
        mpfr_sub(r21957, r21939, r21956, MPFR_RNDN);
        mpfr_sqrt(r21958, r21957, MPFR_RNDN);
        mpfr_mul(r21959, r21953, r21958, MPFR_RNDN);
        ;
        mpfr_set_si(r21961, mpfr_cmp(r21949, r21960) <= 0, MPFR_RNDN);
        mpfr_div(r21962, r21936, r21934, MPFR_RNDN);
        mpfr_div(r21963, r21934, r21962, MPFR_RNDN);
        mpfr_mul(r21964, r21928, r21963, MPFR_RNDN);
        mpfr_sub(r21965, r21933, r21964, MPFR_RNDN);
        mpfr_sub(r21966, r21965, r21956, MPFR_RNDN);
        mpfr_mul(r21967, r21932, r21966, MPFR_RNDN);
        mpfr_mul(r21968, r21930, r21967, MPFR_RNDN);
        mpfr_sqrt(r21969, r21968, MPFR_RNDN);
        if (mpfr_get_si(r21961, MPFR_RNDN)) { mpfr_set(r21970, r21949, MPFR_RNDN); } else { mpfr_set(r21970, r21969, MPFR_RNDN); };
        if (mpfr_get_si(r21951, MPFR_RNDN)) { mpfr_set(r21971, r21959, MPFR_RNDN); } else { mpfr_set(r21971, r21970, MPFR_RNDN); };
        return mpfr_get_d(r21971, MPFR_RNDN);
}