#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 r15718 = 2.0f;
        float r15719 = n;
        float r15720 = r15718 * r15719;
        float r15721 = U;
        float r15722 = r15720 * r15721;
        float r15723 = t;
        float r15724 = l;
        float r15725 = r15724 * r15724;
        float r15726 = Om;
        float r15727 = r15725 / r15726;
        float r15728 = r15718 * r15727;
        float r15729 = r15723 - r15728;
        float r15730 = r15724 / r15726;
        float r15731 = r15730 * r15730;
        float r15732 = r15719 * r15731;
        float r15733 = U_;
        float r15734 = r15721 - r15733;
        float r15735 = r15732 * r15734;
        float r15736 = r15729 - r15735;
        float r15737 = r15722 * r15736;
        float r15738 = sqrt(r15737);
        return r15738;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15739 = 2.0;
        double r15740 = n;
        double r15741 = r15739 * r15740;
        double r15742 = U;
        double r15743 = r15741 * r15742;
        double r15744 = t;
        double r15745 = l;
        double r15746 = r15745 * r15745;
        double r15747 = Om;
        double r15748 = r15746 / r15747;
        double r15749 = r15739 * r15748;
        double r15750 = r15744 - r15749;
        double r15751 = r15745 / r15747;
        double r15752 = r15751 * r15751;
        double r15753 = r15740 * r15752;
        double r15754 = U_;
        double r15755 = r15742 - r15754;
        double r15756 = r15753 * r15755;
        double r15757 = r15750 - r15756;
        double r15758 = r15743 * r15757;
        double r15759 = sqrt(r15758);
        return r15759;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15760 = t;
        float r15761 = -6.523358115373164e+90f;
        bool r15762 = r15760 <= r15761;
        float r15763 = 2.0f;
        float r15764 = n;
        float r15765 = r15763 * r15764;
        float r15766 = U;
        float r15767 = l;
        float r15768 = Om;
        float r15769 = r15768 / r15767;
        float r15770 = r15767 / r15769;
        float r15771 = r15763 * r15770;
        float r15772 = r15760 - r15771;
        float r15773 = r15767 / r15768;
        float r15774 = r15764 * r15773;
        float r15775 = r15774 * r15773;
        float r15776 = U_;
        float r15777 = r15766 - r15776;
        float r15778 = r15775 * r15777;
        float r15779 = r15772 - r15778;
        float r15780 = r15766 * r15779;
        float r15781 = r15765 * r15780;
        float r15782 = sqrt(r15781);
        float r15783 = 1.5597520311883965e+35f;
        bool r15784 = r15760 <= r15783;
        float r15785 = r15765 * r15766;
        float r15786 = r15773 * r15777;
        float r15787 = r15774 * r15786;
        float r15788 = r15772 - r15787;
        float r15789 = r15785 * r15788;
        float r15790 = sqrt(r15789);
        float r15791 = sqrt(r15785);
        float r15792 = r15773 * r15773;
        float r15793 = r15764 * r15792;
        float r15794 = r15793 * r15777;
        float r15795 = r15772 - r15794;
        float r15796 = sqrt(r15795);
        float r15797 = r15791 * r15796;
        float r15798 = r15784 ? r15790 : r15797;
        float r15799 = r15762 ? r15782 : r15798;
        return r15799;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15800 = t;
        double r15801 = -6.523358115373164e+90;
        bool r15802 = r15800 <= r15801;
        double r15803 = 2.0;
        double r15804 = n;
        double r15805 = r15803 * r15804;
        double r15806 = U;
        double r15807 = l;
        double r15808 = Om;
        double r15809 = r15808 / r15807;
        double r15810 = r15807 / r15809;
        double r15811 = r15803 * r15810;
        double r15812 = r15800 - r15811;
        double r15813 = r15807 / r15808;
        double r15814 = r15804 * r15813;
        double r15815 = r15814 * r15813;
        double r15816 = U_;
        double r15817 = r15806 - r15816;
        double r15818 = r15815 * r15817;
        double r15819 = r15812 - r15818;
        double r15820 = r15806 * r15819;
        double r15821 = r15805 * r15820;
        double r15822 = sqrt(r15821);
        double r15823 = 1.5597520311883965e+35;
        bool r15824 = r15800 <= r15823;
        double r15825 = r15805 * r15806;
        double r15826 = r15813 * r15817;
        double r15827 = r15814 * r15826;
        double r15828 = r15812 - r15827;
        double r15829 = r15825 * r15828;
        double r15830 = sqrt(r15829);
        double r15831 = sqrt(r15825);
        double r15832 = r15813 * r15813;
        double r15833 = r15804 * r15832;
        double r15834 = r15833 * r15817;
        double r15835 = r15812 - r15834;
        double r15836 = sqrt(r15835);
        double r15837 = r15831 * r15836;
        double r15838 = r15824 ? r15830 : r15837;
        double r15839 = r15802 ? r15822 : r15838;
        return r15839;
}

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 r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15840, "2", 10, MPFR_RNDN);
        mpfr_init(r15841);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init(r15844);
        mpfr_init(r15845);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15841, n, MPFR_RNDN);
        mpfr_mul(r15842, r15840, r15841, MPFR_RNDN);
        mpfr_set_d(r15843, U, MPFR_RNDN);
        mpfr_mul(r15844, r15842, r15843, MPFR_RNDN);
        mpfr_set_d(r15845, t, MPFR_RNDN);
        mpfr_set_d(r15846, l, MPFR_RNDN);
        mpfr_sqr(r15847, r15846, MPFR_RNDN);
        mpfr_set_d(r15848, Om, MPFR_RNDN);
        mpfr_div(r15849, r15847, r15848, MPFR_RNDN);
        mpfr_mul(r15850, r15840, r15849, MPFR_RNDN);
        mpfr_sub(r15851, r15845, r15850, MPFR_RNDN);
        mpfr_div(r15852, r15846, r15848, MPFR_RNDN);
        mpfr_sqr(r15853, r15852, MPFR_RNDN);
        mpfr_mul(r15854, r15841, r15853, MPFR_RNDN);
        mpfr_set_d(r15855, U_, MPFR_RNDN);
        mpfr_sub(r15856, r15843, r15855, MPFR_RNDN);
        mpfr_mul(r15857, r15854, r15856, MPFR_RNDN);
        mpfr_sub(r15858, r15851, r15857, MPFR_RNDN);
        mpfr_mul(r15859, r15844, r15858, MPFR_RNDN);
        mpfr_sqrt(r15860, r15859, MPFR_RNDN);
        return mpfr_get_d(r15860, MPFR_RNDN);
}

static mpfr_t r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896, r15897, r15898, r15899, r15900;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15861);
        mpfr_init_set_str(r15862, "-6.523358115373164e+90", 10, MPFR_RNDN);
        mpfr_init(r15863);
        mpfr_init_set_str(r15864, "2", 10, MPFR_RNDN);
        mpfr_init(r15865);
        mpfr_init(r15866);
        mpfr_init(r15867);
        mpfr_init(r15868);
        mpfr_init(r15869);
        mpfr_init(r15870);
        mpfr_init(r15871);
        mpfr_init(r15872);
        mpfr_init(r15873);
        mpfr_init(r15874);
        mpfr_init(r15875);
        mpfr_init(r15876);
        mpfr_init(r15877);
        mpfr_init(r15878);
        mpfr_init(r15879);
        mpfr_init(r15880);
        mpfr_init(r15881);
        mpfr_init(r15882);
        mpfr_init(r15883);
        mpfr_init_set_str(r15884, "1.5597520311883965e+35", 10, MPFR_RNDN);
        mpfr_init(r15885);
        mpfr_init(r15886);
        mpfr_init(r15887);
        mpfr_init(r15888);
        mpfr_init(r15889);
        mpfr_init(r15890);
        mpfr_init(r15891);
        mpfr_init(r15892);
        mpfr_init(r15893);
        mpfr_init(r15894);
        mpfr_init(r15895);
        mpfr_init(r15896);
        mpfr_init(r15897);
        mpfr_init(r15898);
        mpfr_init(r15899);
        mpfr_init(r15900);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15861, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15863, mpfr_cmp(r15861, r15862) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15865, n, MPFR_RNDN);
        mpfr_mul(r15866, r15864, r15865, MPFR_RNDN);
        mpfr_set_d(r15867, U, MPFR_RNDN);
        mpfr_set_d(r15868, l, MPFR_RNDN);
        mpfr_set_d(r15869, Om, MPFR_RNDN);
        mpfr_div(r15870, r15869, r15868, MPFR_RNDN);
        mpfr_div(r15871, r15868, r15870, MPFR_RNDN);
        mpfr_mul(r15872, r15864, r15871, MPFR_RNDN);
        mpfr_sub(r15873, r15861, r15872, MPFR_RNDN);
        mpfr_div(r15874, r15868, r15869, MPFR_RNDN);
        mpfr_mul(r15875, r15865, r15874, MPFR_RNDN);
        mpfr_mul(r15876, r15875, r15874, MPFR_RNDN);
        mpfr_set_d(r15877, U_, MPFR_RNDN);
        mpfr_sub(r15878, r15867, r15877, MPFR_RNDN);
        mpfr_mul(r15879, r15876, r15878, MPFR_RNDN);
        mpfr_sub(r15880, r15873, r15879, MPFR_RNDN);
        mpfr_mul(r15881, r15867, r15880, MPFR_RNDN);
        mpfr_mul(r15882, r15866, r15881, MPFR_RNDN);
        mpfr_sqrt(r15883, r15882, MPFR_RNDN);
        ;
        mpfr_set_si(r15885, mpfr_cmp(r15861, r15884) <= 0, MPFR_RNDN);
        mpfr_mul(r15886, r15866, r15867, MPFR_RNDN);
        mpfr_mul(r15887, r15874, r15878, MPFR_RNDN);
        mpfr_mul(r15888, r15875, r15887, MPFR_RNDN);
        mpfr_sub(r15889, r15873, r15888, MPFR_RNDN);
        mpfr_mul(r15890, r15886, r15889, MPFR_RNDN);
        mpfr_sqrt(r15891, r15890, MPFR_RNDN);
        mpfr_sqrt(r15892, r15886, MPFR_RNDN);
        mpfr_sqr(r15893, r15874, MPFR_RNDN);
        mpfr_mul(r15894, r15865, r15893, MPFR_RNDN);
        mpfr_mul(r15895, r15894, r15878, MPFR_RNDN);
        mpfr_sub(r15896, r15873, r15895, MPFR_RNDN);
        mpfr_sqrt(r15897, r15896, MPFR_RNDN);
        mpfr_mul(r15898, r15892, r15897, MPFR_RNDN);
        if (mpfr_get_si(r15885, MPFR_RNDN)) { mpfr_set(r15899, r15891, MPFR_RNDN); } else { mpfr_set(r15899, r15898, MPFR_RNDN); };
        if (mpfr_get_si(r15863, MPFR_RNDN)) { mpfr_set(r15900, r15883, MPFR_RNDN); } else { mpfr_set(r15900, r15899, MPFR_RNDN); };
        return mpfr_get_d(r15900, MPFR_RNDN);
}

static mpfr_t r15901, r15902, r15903, r15904, r15905, r15906, r15907, r15908, r15909, r15910, r15911, r15912, r15913, r15914, r15915, r15916, r15917, r15918, r15919, r15920, r15921, r15922, r15923, r15924, r15925, r15926, r15927, r15928, r15929, r15930, r15931, r15932, r15933, r15934, r15935, r15936, r15937, r15938, r15939, r15940;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15901);
        mpfr_init_set_str(r15902, "-6.523358115373164e+90", 10, MPFR_RNDN);
        mpfr_init(r15903);
        mpfr_init_set_str(r15904, "2", 10, MPFR_RNDN);
        mpfr_init(r15905);
        mpfr_init(r15906);
        mpfr_init(r15907);
        mpfr_init(r15908);
        mpfr_init(r15909);
        mpfr_init(r15910);
        mpfr_init(r15911);
        mpfr_init(r15912);
        mpfr_init(r15913);
        mpfr_init(r15914);
        mpfr_init(r15915);
        mpfr_init(r15916);
        mpfr_init(r15917);
        mpfr_init(r15918);
        mpfr_init(r15919);
        mpfr_init(r15920);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init_set_str(r15924, "1.5597520311883965e+35", 10, MPFR_RNDN);
        mpfr_init(r15925);
        mpfr_init(r15926);
        mpfr_init(r15927);
        mpfr_init(r15928);
        mpfr_init(r15929);
        mpfr_init(r15930);
        mpfr_init(r15931);
        mpfr_init(r15932);
        mpfr_init(r15933);
        mpfr_init(r15934);
        mpfr_init(r15935);
        mpfr_init(r15936);
        mpfr_init(r15937);
        mpfr_init(r15938);
        mpfr_init(r15939);
        mpfr_init(r15940);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15901, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15903, mpfr_cmp(r15901, r15902) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15905, n, MPFR_RNDN);
        mpfr_mul(r15906, r15904, r15905, MPFR_RNDN);
        mpfr_set_d(r15907, U, MPFR_RNDN);
        mpfr_set_d(r15908, l, MPFR_RNDN);
        mpfr_set_d(r15909, Om, MPFR_RNDN);
        mpfr_div(r15910, r15909, r15908, MPFR_RNDN);
        mpfr_div(r15911, r15908, r15910, MPFR_RNDN);
        mpfr_mul(r15912, r15904, r15911, MPFR_RNDN);
        mpfr_sub(r15913, r15901, r15912, MPFR_RNDN);
        mpfr_div(r15914, r15908, r15909, MPFR_RNDN);
        mpfr_mul(r15915, r15905, r15914, MPFR_RNDN);
        mpfr_mul(r15916, r15915, r15914, MPFR_RNDN);
        mpfr_set_d(r15917, U_, MPFR_RNDN);
        mpfr_sub(r15918, r15907, r15917, MPFR_RNDN);
        mpfr_mul(r15919, r15916, r15918, MPFR_RNDN);
        mpfr_sub(r15920, r15913, r15919, MPFR_RNDN);
        mpfr_mul(r15921, r15907, r15920, MPFR_RNDN);
        mpfr_mul(r15922, r15906, r15921, MPFR_RNDN);
        mpfr_sqrt(r15923, r15922, MPFR_RNDN);
        ;
        mpfr_set_si(r15925, mpfr_cmp(r15901, r15924) <= 0, MPFR_RNDN);
        mpfr_mul(r15926, r15906, r15907, MPFR_RNDN);
        mpfr_mul(r15927, r15914, r15918, MPFR_RNDN);
        mpfr_mul(r15928, r15915, r15927, MPFR_RNDN);
        mpfr_sub(r15929, r15913, r15928, MPFR_RNDN);
        mpfr_mul(r15930, r15926, r15929, MPFR_RNDN);
        mpfr_sqrt(r15931, r15930, MPFR_RNDN);
        mpfr_sqrt(r15932, r15926, MPFR_RNDN);
        mpfr_sqr(r15933, r15914, MPFR_RNDN);
        mpfr_mul(r15934, r15905, r15933, MPFR_RNDN);
        mpfr_mul(r15935, r15934, r15918, MPFR_RNDN);
        mpfr_sub(r15936, r15913, r15935, MPFR_RNDN);
        mpfr_sqrt(r15937, r15936, MPFR_RNDN);
        mpfr_mul(r15938, r15932, r15937, MPFR_RNDN);
        if (mpfr_get_si(r15925, MPFR_RNDN)) { mpfr_set(r15939, r15931, MPFR_RNDN); } else { mpfr_set(r15939, r15938, MPFR_RNDN); };
        if (mpfr_get_si(r15903, MPFR_RNDN)) { mpfr_set(r15940, r15923, MPFR_RNDN); } else { mpfr_set(r15940, r15939, MPFR_RNDN); };
        return mpfr_get_d(r15940, MPFR_RNDN);
}