#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 r15734 = 2.0f;
        float r15735 = n;
        float r15736 = r15734 * r15735;
        float r15737 = U;
        float r15738 = r15736 * r15737;
        float r15739 = t;
        float r15740 = l;
        float r15741 = r15740 * r15740;
        float r15742 = Om;
        float r15743 = r15741 / r15742;
        float r15744 = r15734 * r15743;
        float r15745 = r15739 - r15744;
        float r15746 = r15740 / r15742;
        float r15747 = r15746 * r15746;
        float r15748 = r15735 * r15747;
        float r15749 = U_;
        float r15750 = r15737 - r15749;
        float r15751 = r15748 * r15750;
        float r15752 = r15745 - r15751;
        float r15753 = r15738 * r15752;
        float r15754 = sqrt(r15753);
        return r15754;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15755 = 2.0;
        double r15756 = n;
        double r15757 = r15755 * r15756;
        double r15758 = U;
        double r15759 = r15757 * r15758;
        double r15760 = t;
        double r15761 = l;
        double r15762 = r15761 * r15761;
        double r15763 = Om;
        double r15764 = r15762 / r15763;
        double r15765 = r15755 * r15764;
        double r15766 = r15760 - r15765;
        double r15767 = r15761 / r15763;
        double r15768 = r15767 * r15767;
        double r15769 = r15756 * r15768;
        double r15770 = U_;
        double r15771 = r15758 - r15770;
        double r15772 = r15769 * r15771;
        double r15773 = r15766 - r15772;
        double r15774 = r15759 * r15773;
        double r15775 = sqrt(r15774);
        return r15775;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15776 = t;
        float r15777 = 1.1369104394377624e+150f;
        bool r15778 = r15776 <= r15777;
        float r15779 = 2.0f;
        float r15780 = n;
        float r15781 = r15779 * r15780;
        float r15782 = U;
        float r15783 = r15781 * r15782;
        float r15784 = l;
        float r15785 = Om;
        float r15786 = r15785 / r15784;
        float r15787 = r15784 / r15786;
        float r15788 = r15779 * r15787;
        float r15789 = r15776 - r15788;
        float r15790 = r15784 / r15785;
        float r15791 = r15790 * r15790;
        float r15792 = r15780 * r15791;
        float r15793 = U_;
        float r15794 = r15782 - r15793;
        float r15795 = r15792 * r15794;
        float r15796 = r15789 - r15795;
        float r15797 = r15783 * r15796;
        float r15798 = sqrt(r15797);
        float r15799 = sqrt(r15783);
        float r15800 = sqrt(r15796);
        float r15801 = r15799 * r15800;
        float r15802 = r15778 ? r15798 : r15801;
        return r15802;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15803 = t;
        double r15804 = 1.1369104394377624e+150;
        bool r15805 = r15803 <= r15804;
        double r15806 = 2.0;
        double r15807 = n;
        double r15808 = r15806 * r15807;
        double r15809 = U;
        double r15810 = r15808 * r15809;
        double r15811 = l;
        double r15812 = Om;
        double r15813 = r15812 / r15811;
        double r15814 = r15811 / r15813;
        double r15815 = r15806 * r15814;
        double r15816 = r15803 - r15815;
        double r15817 = r15811 / r15812;
        double r15818 = r15817 * r15817;
        double r15819 = r15807 * r15818;
        double r15820 = U_;
        double r15821 = r15809 - r15820;
        double r15822 = r15819 * r15821;
        double r15823 = r15816 - r15822;
        double r15824 = r15810 * r15823;
        double r15825 = sqrt(r15824);
        double r15826 = sqrt(r15810);
        double r15827 = sqrt(r15823);
        double r15828 = r15826 * r15827;
        double r15829 = r15805 ? r15825 : r15828;
        return r15829;
}

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 r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15830, "2", 10, MPFR_RNDN);
        mpfr_init(r15831);
        mpfr_init(r15832);
        mpfr_init(r15833);
        mpfr_init(r15834);
        mpfr_init(r15835);
        mpfr_init(r15836);
        mpfr_init(r15837);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15831, n, MPFR_RNDN);
        mpfr_mul(r15832, r15830, r15831, MPFR_RNDN);
        mpfr_set_d(r15833, U, MPFR_RNDN);
        mpfr_mul(r15834, r15832, r15833, MPFR_RNDN);
        mpfr_set_d(r15835, t, MPFR_RNDN);
        mpfr_set_d(r15836, l, MPFR_RNDN);
        mpfr_sqr(r15837, r15836, MPFR_RNDN);
        mpfr_set_d(r15838, Om, MPFR_RNDN);
        mpfr_div(r15839, r15837, r15838, MPFR_RNDN);
        mpfr_mul(r15840, r15830, r15839, MPFR_RNDN);
        mpfr_sub(r15841, r15835, r15840, MPFR_RNDN);
        mpfr_div(r15842, r15836, r15838, MPFR_RNDN);
        mpfr_sqr(r15843, r15842, MPFR_RNDN);
        mpfr_mul(r15844, r15831, r15843, MPFR_RNDN);
        mpfr_set_d(r15845, U_, MPFR_RNDN);
        mpfr_sub(r15846, r15833, r15845, MPFR_RNDN);
        mpfr_mul(r15847, r15844, r15846, MPFR_RNDN);
        mpfr_sub(r15848, r15841, r15847, MPFR_RNDN);
        mpfr_mul(r15849, r15834, r15848, MPFR_RNDN);
        mpfr_sqrt(r15850, r15849, MPFR_RNDN);
        return mpfr_get_d(r15850, MPFR_RNDN);
}

static mpfr_t r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15851);
        mpfr_init_set_str(r15852, "1.1369104394377624e+150", 10, MPFR_RNDN);
        mpfr_init(r15853);
        mpfr_init_set_str(r15854, "2", 10, MPFR_RNDN);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init(r15861);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15851, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15853, mpfr_cmp(r15851, r15852) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15855, n, MPFR_RNDN);
        mpfr_mul(r15856, r15854, r15855, MPFR_RNDN);
        mpfr_set_d(r15857, U, MPFR_RNDN);
        mpfr_mul(r15858, r15856, r15857, MPFR_RNDN);
        mpfr_set_d(r15859, l, MPFR_RNDN);
        mpfr_set_d(r15860, Om, MPFR_RNDN);
        mpfr_div(r15861, r15860, r15859, MPFR_RNDN);
        mpfr_div(r15862, r15859, r15861, MPFR_RNDN);
        mpfr_mul(r15863, r15854, r15862, MPFR_RNDN);
        mpfr_sub(r15864, r15851, r15863, MPFR_RNDN);
        mpfr_div(r15865, r15859, r15860, MPFR_RNDN);
        mpfr_sqr(r15866, r15865, MPFR_RNDN);
        mpfr_mul(r15867, r15855, r15866, MPFR_RNDN);
        mpfr_set_d(r15868, U_, MPFR_RNDN);
        mpfr_sub(r15869, r15857, r15868, MPFR_RNDN);
        mpfr_mul(r15870, r15867, r15869, MPFR_RNDN);
        mpfr_sub(r15871, r15864, r15870, MPFR_RNDN);
        mpfr_mul(r15872, r15858, r15871, MPFR_RNDN);
        mpfr_sqrt(r15873, r15872, MPFR_RNDN);
        mpfr_sqrt(r15874, r15858, MPFR_RNDN);
        mpfr_sqrt(r15875, r15871, MPFR_RNDN);
        mpfr_mul(r15876, r15874, r15875, MPFR_RNDN);
        if (mpfr_get_si(r15853, MPFR_RNDN)) { mpfr_set(r15877, r15873, MPFR_RNDN); } else { mpfr_set(r15877, r15876, MPFR_RNDN); };
        return mpfr_get_d(r15877, MPFR_RNDN);
}

static mpfr_t r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896, r15897, r15898, r15899, r15900, r15901, r15902, r15903, r15904;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15878);
        mpfr_init_set_str(r15879, "1.1369104394377624e+150", 10, MPFR_RNDN);
        mpfr_init(r15880);
        mpfr_init_set_str(r15881, "2", 10, MPFR_RNDN);
        mpfr_init(r15882);
        mpfr_init(r15883);
        mpfr_init(r15884);
        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);
        mpfr_init(r15901);
        mpfr_init(r15902);
        mpfr_init(r15903);
        mpfr_init(r15904);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15878, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15880, mpfr_cmp(r15878, r15879) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15882, n, MPFR_RNDN);
        mpfr_mul(r15883, r15881, r15882, MPFR_RNDN);
        mpfr_set_d(r15884, U, MPFR_RNDN);
        mpfr_mul(r15885, r15883, r15884, MPFR_RNDN);
        mpfr_set_d(r15886, l, MPFR_RNDN);
        mpfr_set_d(r15887, Om, MPFR_RNDN);
        mpfr_div(r15888, r15887, r15886, MPFR_RNDN);
        mpfr_div(r15889, r15886, r15888, MPFR_RNDN);
        mpfr_mul(r15890, r15881, r15889, MPFR_RNDN);
        mpfr_sub(r15891, r15878, r15890, MPFR_RNDN);
        mpfr_div(r15892, r15886, r15887, MPFR_RNDN);
        mpfr_sqr(r15893, r15892, MPFR_RNDN);
        mpfr_mul(r15894, r15882, r15893, MPFR_RNDN);
        mpfr_set_d(r15895, U_, MPFR_RNDN);
        mpfr_sub(r15896, r15884, r15895, MPFR_RNDN);
        mpfr_mul(r15897, r15894, r15896, MPFR_RNDN);
        mpfr_sub(r15898, r15891, r15897, MPFR_RNDN);
        mpfr_mul(r15899, r15885, r15898, MPFR_RNDN);
        mpfr_sqrt(r15900, r15899, MPFR_RNDN);
        mpfr_sqrt(r15901, r15885, MPFR_RNDN);
        mpfr_sqrt(r15902, r15898, MPFR_RNDN);
        mpfr_mul(r15903, r15901, r15902, MPFR_RNDN);
        if (mpfr_get_si(r15880, MPFR_RNDN)) { mpfr_set(r15904, r15900, MPFR_RNDN); } else { mpfr_set(r15904, r15903, MPFR_RNDN); };
        return mpfr_get_d(r15904, MPFR_RNDN);
}